Brilliant for Educators - Complete Standards Alignment
This document provides a complete lesson-by-lesson mapping of Brilliant's courses to Common Core State Standards (CCSS-M) and Next Generation Science Standards (NGSS). Search for any standard code (e.g., 3.NF.1, 7.G.5, HS-PS3-4) to find which Brilliant lessons address it. How to use this guide Search this page (Ctrl/Cmd+F) for any standard code to find aligned lessons Standard codes follow these formats: Common Core Math: Grade.Domain.Standard (e.g., 3.NF.1 = Grade 3, Number & Operations—Fractions, Standard 1) Common Core High School: HS.Domain.Standard (e.g., HSF.IF.2 = High School Functions, Interpreting Functions, Standard 2) NGSS Science: HS-Domain-Standard (e.g., HS-PS3-4 = High School Physical Science, Energy, Standard 4) Grade levels or subjects show which grades or subjects each lesson is appropriate for (see What grade levels does Brilliant cover?) For an overview of standards alignment, see Is Brilliant aligned with Common Core? or browse the complete course catalog. Note: Teachers can also access a searchable course database at educator.brilliant.org/courses showing topics covered in each lesson. We currently do not provide additional standards alignment guides beyond this document, but we do share the topics covered in each course. Number & Operations—Fractions (Grades 3-5) Course Lesson Standards Grade Levels or Subjects Mathematical Thinking Finding Half 3.NF.1, 3.NF.2 3rd Mathematical Thinking Combining Parts 3.NF.1, 3.NF.3, 4.NF.3 3rd, 4th Mathematical Thinking Splitting Parts 3.NF.1, 4.NF.3, 5.NF.1 6th Mathematical Thinking Splitting and Combining 3.NF.1, 3.NF.2, 3.G.2 6th Mathematical Thinking Equal Parts 3.G.2, 3.NF.1 3rd Mathematical Thinking Sixths and Twelfths 4.NF.1, 4.NF.2 6th Mathematical Thinking Eighths and Sixteenths 4.NF.1, 4.NF.2 6th Mathematical Thinking Making Equivalent Fractions 4.NF.1, 4.NF.2 6th Mathematical Thinking Simplifying Fractions 4.NF.1, 4.NF.2 6th Mathematical Thinking Equivalent Fractions 4.NF.1, 4.NF.2 6th Mathematical Thinking Identifying Equivalents 4.NF.1, 4.NF.2 6th Mathematical Thinking Comparing Numerators 4.NF.2 6th Mathematical Thinking Comparing Denominators 4.NF.2 6th Mathematical Thinking Comparing Equivalents 4.NF.1, 4.NF.2 6th Mathematical Thinking Comparing More Equivalents 4.NF.1, 4.NF.2 6th Mathematical Thinking Identifying the Greatest 4.NF.1, 4.NF.2 6th Mathematical Thinking Adding Fractions 4.NF.3, 5.NF.1 5th Mathematical Thinking Adding Same-Sized Fractions 4.NF.3, 4.NF.3.A, 4.NF.3.B 4th Mathematical Thinking Adding Unlike Parts 4.NF.1, 4.NF.2, 5.NF.1 6th Mathematical Thinking Adding Unit Fractions 4.NF.1, 4.NF.3, 5.NF.1 5th Mathematical Thinking Adding Any Fractions 5.NF.1, 5.NF.2 6th Mathematical Thinking Multiples of Fractions 4.NF.4, 5.NF.4, 5.NF.6 5th Mathematical Thinking Expressing Multiples 4.NF.4, 5.NF.4 5th Mathematical Thinking Fractions of Unit Fractions 5.NF.4, 5.NF.6 5th Mathematical Thinking Products of Unit Fractions 5.NF.4, 5.NF.6 5th Mathematical Thinking Fraction of Any Fraction 5.NF.4, 5.NF.6 6th Mathematical Thinking Multiplying Fractions 5.NF.4, 5.NF.6 5th Ratios & Proportional Relationships (Grades 6-8) Course Lesson Standards Grade Levels or Subjects Math Puzzles What Does Average Look Like? 7.RP.3, 8.EE.5, HSF.IF.2 Algebra 1 Strategy Puzzles Let's mix up some candy! 7.RP.3, 7.SP.5 7th Strategy Puzzles Start With Two Bottles of Sand 7.RP.3 7th Strategy Puzzles Who Ate Donnie's Pizza? 7.RP.3, 8.EE.3 7th, 8th Proportional Reasoning Setting Up Ratios 6.RP.3.C, 7.RP.3 6th Proportional Reasoning Scaling Up 6.RP.3, 7.RP.2 6th, 7th Proportional Reasoning Scaling Down 6.RP.3, 7.RP.1, 7.RP.2 7th Proportional Reasoning Scaling Up Recipes 6.RP.3.C, 7.RP.3 6th, 7th Proportional Reasoning Making Batches 6.RP.3.C, 7.RP.3 6th Proportional Reasoning Scale Factor 6.RP.3, 7.RP.1, 7.RP.2 7th Proportional Reasoning Scaling Down to Scale Up 6.RP.3.C, 7.RP.3 6th, 7th Proportional Reasoning Scaling in One Move 6.RP.3.C, 7.RP.3 6th, 7th Proportional Reasoning Finding the Total 6.RP.3.C, 7.RP.3 6th, 7th Proportional Reasoning Finding the Parts 6.RP.3, 7.RP.3 6th, 7th Proportional Reasoning How Much for One 6.RP.3.C, 7.RP.3 6th Proportional Reasoning Computing Unit Rates 6.RP.3.C 6th Proportional Reasoning Two Unit Rates 6.RP.3.C 6th Proportional Reasoning Scaling Down to Scale Up 6.RP.3.C, 7.RP.3 6th, 7th Proportional Reasoning Using Unit Rates 6.RP.3, 7.RP.1, 7.RP.2 6th Proportional Reasoning Using Unit Rates to Find Cost 6.RP.3.C, 7.RP.3 6th, 7th Proportional Reasoning Finding Unit Cost 6.RP.3.C, 7.RP.3 6th, 7th Proportional Reasoning Comparing Rates 6.RP.3.C, 7.RP.3 6th, 7th Proportional Reasoning Plotting Points 6.RP.3.C, 7.RP.3 6th, 7th Proportional Reasoning Plotting Equivalent Ratios 6.RP.3, 7.RP.2 6th, 7th Proportional Reasoning Using Graphs 7.RP.2, 8.EE.5 7th, 8th Proportional Reasoning Plotting Unit Rate 6.RP.3, 7.RP.2 7th Proportional Reasoning Graphing Relationships 7.RP.2, 8.EE.5 7th Proportional Reasoning Constant of Proportionality 7.RP.2, 7.RP.2.B, 6.RP.3.B 7th Proportional Reasoning Writing Equations 7.RP.2, 7.EE.4, 6.EE.9 7th Proportional Reasoning Equation from a Point 7.RP.3, 8.EE.5 7th Proportional Reasoning Graphing Comparisons 7.RP.3, 8.EE.5 7th Solving Equations Reasoning about Weights 7.RP.2, 7.EE.4 7th Solving Equations Reasoning about Two Scales 7.RP.3, 8.EE.5 7th 100 Days of Puzzles Find the Best Deal 6.RP.3, 7.NS.3 7th 100 Days of Puzzles How Much Faster Together? 7.RP.3 7th 100 Days of Puzzles Who is the Fastest Sprinter? 6.RP.3, 7.RP.1 6th 100 Days of Puzzles An Infinitely-Zig-Zagging Line 7.RP.2, 8.EE.7, HSF.IF.8 Algebra 1 100 Days of Puzzles Fish Fictions 6.RP.3, 7.RP.2, 8.EE.5 7th 100 Days of Puzzles Gears and Ants 7.RP.3, 8.G.9, HSF.IF.2 8th 100 Days of Puzzles A's Abound! 6.NS.6, 7.RP.3, 8.EE.3 6th, 7th, 8th 100 Days of Puzzles Taking Their Time 7.RP.3, 8.EE.7 8th Visual Algebra Building Patterns 6.EE.9, 7.RP.2, 8.F.4 6th Visual Algebra Two-Shape Patterns 7.EE.4, 7.RP.2 7th Visual Algebra Using a Table 6.EE.9, 7.RP.2, 8.F.5 7th Visual Algebra Comparing More Rates 7.RP.2, 8.EE.5, HSA.CED.2 7th Visual Algebra Periodic Patterns 7.RP.3 6th Visual Algebra Even and Odd Steps 6.EE.1, 7.RP.3 7th Geometry Scaling Lengths 7.G.1, 7.RP.2, 8.G.4 7th Geometric Thinking Infinite Areas 7.RP.3, 8.EE.4 8th Geometric Thinking Tiling a Chessboard 7.RP.3 8th Contest Math Diagnostic: Ratios and Percentages 7.RP.3, 7.EE.3 7th Contest Math Non-numeric Geometric Ratios 7.RP.3, 8.G.7, HSG.MG.1 8th Contest Math Equations Practice Quiz 1 8.EE.7, 7.RP.3, HSA.CED.1 Algebra 1 Contest Math Equations Practice Quiz 2 8.EE.7, 7.RP.3, HSF.IF.2 Algebra 1 Contest Math Ratios Meet Geometry 7.RP.3, 8.G.7, HSG.MG.1 8th Contest Math Diagnostic: Counting 7.SP.8, 8.EE.3, 6.RP.3 7th Contest Math Rates and Ratios 7.RP.3, 8.EE.7, HSA.CED.1 Algebra 1 Real-World Algebra Comparing Offers 6.RP.3, 7.RP.3 7th Real-World Algebra Unit Prices 7.RP.3 7th Real-World Algebra Using Unit Prices 6.RP.3, 7.RP.1, 7.RP.2 7th Real-World Algebra Controlling Costs 7.RP.3, 6.RP.3, 6.EE.2 7th Real-World Algebra Calculating Percentages 6.RP.3.C, 7.RP.3 7th Real-World Algebra Percent Discount 7.RP.3 7th Real-World Algebra Working with Percentages 7.RP.3, 6.RP.3, 7.NS.2 7th Percentages Intro to Percentages 6.RP.3.C, 7.RP.3 6th, 7th Percentages Working out Percentages 6.RP.3.C, 7.RP.3 6th, 7th Percentages Percentages and Batteries 6.RP.3.C, 7.RP.3 6th Percentages Percentages as Fractions 6.RP.3.C, 7.RP.3 6th, 7th Percentages Percent Increase 6.RP.3.C, 7.RP.3 7th Percentages Price Increase 7.RP.3 7th Percentages Calculating Percent Increase 7.RP.3 7th Percentages Percentages as Tenths 6.RP.3.C, 7.RP.3 6th, 7th Percentages Percentages as Hundredths 6.RP.3.C, 7.RP.3 6th, 7th Percentages Finding the Percentage 6.RP.3.C, 7.RP.3 6th Percentages Percentages as Decimals 6.RP.3.C, 7.RP.3, 6.NS.6 6th, 7th Percentages Calculating the Percentage 6.RP.3.C, 7.RP.3 6th, 7th Percentages Percent Decrease 7.RP.3, 6.RP.3.C 7th Percentages Calculating Percent Decrease 6.RP.3.C, 7.RP.3 7th Percentages Finding the Original Price 7.RP.3, 6.RP.3.C 7th Percentages Reversing Percentages 7.RP.3, 6.RP.3.C 7th Percentages Compound Changes 7.RP.3 7th Percentages Compound Calculations 7.RP.3 7th Percentages Splitting Percent Changes 7.RP.3, 6.RP.3.C 7th Percentages Growing and Shrinking 7.RP.3 7th Number Theory Times and Dates 6.NS.6, 7.RP.3 7th Number Theory Die-Hard Decanting (I) 7.RP.3 7th Logic Comparisons 6.RP.3, 7.EE.3 6th Logic Relative Comparisons 6.RP.3, 7.RP.3 6th, 7th Logic Swapping 7.SP.8, 8.EE.5, 6.RP.3 7th Logic Rearrangements 7.RP.3 7th Logic Either/Or 7.RP.3, 8.EE.8 7th Logic Differences 7.EE.3, 7.NS.1, 7.RP.2 7th Logic Assigning Sizes 7.RP.3, 8.EE.5, 8.SP.1 7th Logic More — 7th Logic Not and No 8.EE.3, 7.RP.1 8th Logic Minimizing 7.RP.3, 8.EE.3, HSF.IF.1 7th, 8th Truth and Lies Configuring Grids 8.EE.3, 7.RP.3 8th Truth and Lies Sharing Information 7.RP.3, 8.EE.3, 8.EE.5 7th, 8th Truth and Lies Rows and Columns 8.EE.3, 8.EE.4, 7.RP.3 8th Truth and Lies Robots Ordering Dessert 7.RP.3, 8.EE.4 7th, 8th Truth and Lies Opening Safes 8.EE.3, 7.RP.3, HSF.IF.2 8th The Number System (Grades 6-8) Course Lesson Standards Grade Levels or Subjects Math Puzzles What Is This Sum? 6.NS.3, 7.NS.1 7th Math Puzzles Make Each Edge Sum to Nine 6.NS.6, 7.NS.1, 8.EE.3 6th Math Puzzles Find the Value of B 6.NS.2, 7.EE.4, 8.EE.1 8th Math Puzzles Can You do Math in Base Four-Thirds? 8.NS.1 8th Math Puzzles Where Do You Even Start? 6.NS.4, 7.EE.4, 8.EE.3 7th Math Puzzles Please Make It Prime 6.NS.4 6th Math Puzzles Can You Make It Even? 6.NS.4, 7.NS.1, 8.EE.7 7th Math Puzzles Who Makes the Fewest Hops? 6.NS.4, 7.EE.4, 8.EE.3 7th Strategy Puzzles Change Some of the Operators 7.NS.1, 7.NS.2, 7.EE.3 7th Strategy Puzzles Are You Positive? 6.NS.6, 7.EE.4, 8.EE.8 7th Strategy Puzzles What Happens if You Choose Randomly? 7.NS.1, 7.NS.2, 8.EE.1 7th Strategy Puzzles Don't Use a Calculator 7.NS.2, 8.EE.1 Algebra 1 Strategy Puzzles Which One Is Lacking in Factors? 7.NS.2, 7.EE.1, 8.EE.3 8th Strategy Puzzles Let's Find Some Primes! 6.NS.4 6th 100 Days of Puzzles Find the Best Deal 6.RP.3, 7.NS.3 7th 100 Days of Puzzles The Nine Nine Plus 6.NS.6 6th 100 Days of Puzzles Save Your Calculator 6.NS.2, 6.NS.3, 7.NS.1 6th 100 Days of Puzzles Make a Ring of Sevens 6.NS.6, 6.NS.7, 7.NS.3 6th 100 Days of Puzzles A Lil Goes a Long Way 5.NBT.5, 5.NBT.7, 6.NS.3 6th 100 Days of Puzzles The Best Candidate 7.NS.1, 7.NS.2, 7.NS.3 7th 100 Days of Puzzles Pigeonholed Numbers S.A.1 7th 100 Days of Puzzles Ha ha ha ha! Eh... 7.NS.3, 8.EE.1 7th 100 Days of Puzzles Fill the Grid 6.NS.3, 6.NS.6, 7.NS.1 6th 100 Days of Puzzles Add Up to Odd 6.NS.6, 7.EE.4, 8.EE.8 7th 100 Days of Puzzles A's Abound! 6.NS.6, 7.RP.3, 8.EE.3 6th, 7th, 8th 100 Days of Puzzles Make It Equal 28 6.NS.2, 7.NS.2, 8.EE.7 7th 100 Days of Puzzles Start in the Middle 6.NS.4, 7.NS.1, 8.EE.3 6th 100 Days of Puzzles Make Six Twice 6.NS.3, 7.NS.1, 8.EE.7 6th 100 Days of Puzzles Cherry Production 6.NS.3, 7.EE.4, 8.EE.7 7th 100 Days of Puzzles The Short Pour 6.NS.3, 7.EE.4, 8.EE.7 7th 100 Days of Puzzles Exactly 3 Divisors? 6.NS.4, 7.NS.2, 8.EE.2 8th 100 Days of Puzzles It All Comes To Nothing 7.NS.1, 7.NS.3 7th 100 Days of Puzzles The Eye of... 7.NS.3, 8.EE.7, HSA.REI.1 8th Math History Egyptian Multiplication 6.NS.2, 6.NS.3, 7.NS.1 6th Math History The Prime Sieve 6.NS.4, 7.NS.2, 8.EE.3 8th Math History Nicomachus 6.NS.6, 7.NS.2 7th Math History Perfect Numbers 6.NS.4, 7.NS.2, 8.EE.2 8th Visual Algebra Periodic Pattern Remainders 6.NS.3, 6.NS.4 6th Visual Algebra Expressing Remainders 7.NS.2, 7.NS.3, 8.EE.3 7th Visual Algebra Period of Two 6.NS.2 6th Visual Algebra A Different Period 6.NS.2, 6.NS.3, 6.NS.4 6th Visual Algebra Periodic Pattern Gallery 2 6.EE.1, 7.NS.2, 8.F.5 7th Geometry Squares and Roots 8.EE.2, 8.G.6, 8.NS.1 8th Contest Math Number Theory 6.NS.4, 7.NS.2, 8.EE.2 Algebra 1 Contest Math Diagnostic: Probability 7.NS.1, 7.SP.5, 7.SP.8 7th Contest Math Diagnostic: Efficiency 6.NS.3, 7.EE.1, 8.EE.7 Algebra 1 Contest Math Calculations 7.NS.3, 8.EE.7, HSF.BF.2 Algebra 1 Contest Math What's the Number? 6.NS.2, 6.EE.2, 7.EE.4 8th Contest Math Diagnostic: Factorization 6.NS.4, 6.NS.2, 7.NS.2 Algebra 1 Contest Math Number of Divisors 6.NS.4, 7.NS.2, 8.EE.2 Algebra 1 Contest Math GCD and LCM 6.NS.4 8th Contest Math Cryptograms 6.NS.4, 7.NS.2, 8.EE.1 Algebra 1 Contest Math Factorization Practice Quiz 1 6.NS.4, 7.NS.2, 8.EE.2 Algebra 1 Contest Math Factorization Practice Quiz 2 6.NS.4, 7.NS.2, 8.EE.2 Algebra 1 Contest Math Prime Factorization 6.NS.4, 7.NS.2, 8.EE.2 Algebra 1 Contest Math GCD/LCM 6.NS.4, 8.EE.1 Algebra 1 Contest Math Counting Factors 7.NS.2, 8.EE.2, HSA.SSE.2 Algebra 1 Real-World Algebra Working with Percentages 7.RP.3, 6.RP.3, 7.NS.2 7th Negative Numbers Positives and Negatives 6.NS.6, 7.NS.1, 7.NS.1.A 6th, 7th Negative Numbers Negative Numbers 6.NS.5, 6.NS.6, 7.NS.1 6th, 7th Negative Numbers Making Integers 6.NS.5, 6.NS.6, 6.NS.7 6th Negative Numbers Addition 6.NS.5, 6.NS.6, 7.NS.1 6th Negative Numbers Increasing Value 7.NS.1, 7.NS.1.B 7th Negative Numbers Decreasing Value 6.NS.5, 6.NS.6, 7.NS.1 6th, 7th Negative Numbers Zero 6.NS.6, 6.NS.6.B 6th Negative Numbers Opposites 6.NS.6, 7.NS.1, 7.EE.4 6th, 7th Negative Numbers Adding Negatives 7.NS.1, 7.NS.1.B 7th Negative Numbers Adding Negatives and Positives 7.NS.1, 7.NS.1.A 7th Negative Numbers Missing Values 7.NS.1, 7.NS.1.D 7th Negative Numbers Subtracting Positives 6.NS.1, 7.NS.1, 7.NS.1.B 6th, 7th Negative Numbers Subtracting Negatives 7.NS.1, 7.NS.1.B 7th Negative Numbers Subtracting Positives 2 7.NS.1, 7.NS.1.B 7th Negative Numbers Subtracting Negatives 2 7.NS.1, 7.NS.1.B 7th Negative Numbers Adding The Opposite 7.NS.1, 7.NS.1.B 7th Negative Numbers Subtracting Using Addition 7.NS.1, 7.NS.1.B 7th Negative Numbers Subtracting the Opposite 7.NS.1, 7.NS.1.B 7th Negative Numbers Order in Subtraction 7.NS.1, 7.NS.1.B 7th Negative Numbers Adding in Any Order 6.NS.6, 7.NS.1 6th, 7th Percentages Percentages as Decimals 6.RP.3.C, 7.RP.3, 6.NS.6 6th, 7th Coordinate Plane Coordinates 6.NS.6, 6.NS.6.A, 6.NS.6.B 6th Coordinate Plane Coordinate Pairs 6.NS.6, 6.NS.6.B 6th Coordinate Plane Axes 6.NS.6, 6.NS.6.A, 6.NS.6.B 6th Coordinate Plane x and y Coordinates 6.NS.6, 6.NS.6.A, 6.NS.6.B 6th Coordinate Plane Plotting Points 6.NS.6, 6.NS.6.B 6th Coordinate Plane Identifying Points 6.NS.6, 6.NS.6.A, 6.NS.6.B 6th Coordinate Plane Negative Coordinates 6.NS.6, 6.NS.6.A, 6.NS.6.B 6th Coordinate Plane Selecting Quadrants 6.NS.6, 6.NS.6.B, 6.NS.6.A 6th Coordinate Plane Points in Quadrants 6.NS.6, 6.NS.6.B, 6.NS.6.A 6th Coordinate Plane Plotting Negative Coordinates 6.NS.6, 6.NS.6.A, 6.NS.6.B 6th Coordinate Plane Identifying More Points 6.NS.6, 6.NS.6.A, 6.NS.6.B 6th Coordinate Plane Distance From Axes 6.NS.6, 6.NS.6.A, 6.NS.6.B 6th Coordinate Plane Distance Between Points 6.NS.6, 6.NS.6.A 6th Coordinate Plane Absolute Value 6.NS.7, 7.NS.1, 8.NS.1 6th, 7th, 8th Coordinate Plane Selecting for Distance 6.NS.6, 6.NS.6.B 6th Coordinate Plane Giving Coordinates 6.NS.6, 6.NS.6.B, 8.G.8 6th, 7th Number Theory Last Digits 8.EE.3, 8.EE.4 Algebra 1 Number Theory Rainbow Cycles 7.NS.2, 7.NS.3 7th Number Theory Divisibility Shortcuts 6.NS.2, 6.NS.3 6th Number Theory More Divisibility Shortcuts 6.NS.2, 6.NS.3, 7.NS.2 6th Number Theory Divisibility by 9 and 3 6.NS.2, 6.NS.3, 7.NS.2 6th Number Theory Arithmetic with Remainders 6.NS.4, 7.NS.2, 8.EE.1 8th Number Theory Digital Roots 7.NS.2, 8.EE.3, HSN.RN.3 7th Number Theory Factor Trees 6.NS.4 6th Number Theory Prime Factorization 6.NS.4, 8.EE.2 8th Number Theory Factoring Factorials 6.NS.4, 7.NS.2, 8.EE.1 Algebra 1 Number Theory Counting Divisors 6.NS.4, 7.NS.2, 8.EE.2 Algebra 1 Number Theory 100 Doors 6.NS.4, 7.NS.2, 8.EE.2 7th Number Theory How Many Prime Numbers Are There? 8.NS.1 Algebra 1 Number Theory 100 Doors Revisited 6.NS.4, 7.NS.2, 8.EE.1 7th Number Theory The LCM 6.NS.4, 7.NS.2, 8.EE.1 6th Number Theory Billiard Tables 6.NS.4, 7.NS.3 8th Number Theory The GCD 6.NS.4, 7.NS.2, 8.EE.2 7th Number Theory Dots on the Diagonal 6.NS.4, 8.G.1, 8.G.4 8th Number Theory Number Jumping (I) 7.NS.1, 8.EE.3, 8.EE.8 7th Number Theory Number Jumping (II) 6.NS.4, 7.NS.1, 8.EE.2 8th Number Theory Number Jumping (III) 6.NS.4 8th Number Theory Relating LCM and GCD 6.NS.4, 8.EE.1 8th Number Theory Billiard Tables Revisited (II) 7.NS.1, 8.EE.3 8th Number Theory Times and Dates 6.NS.6, 7.RP.3 7th Number Theory Star Drawing (III) 6.NS.4, 7.NS.2, 8.EE.2 Algebra 1 Number Theory Die-Hard Decanting (II) 7.NS.1, 8.EE.3, HSF.IF.2 Algebra 1 Number Theory The Invention of Number Bases 7.NS.2, 8.NS.1, HSN.RN.3 8th Number Theory Introducing Binary 6.NS.6, 7.NS.1, 8.EE.3 6th Number Theory Exploding Dots 8.EE.3, 8.NS.1, HSF.BF.1 8th Number Theory Binary 8.NS.1 Algebra 1 Number Theory Perfect Shuffles 7.NS.2, 8.EE.1, HSN.CN.1 Algebra 1 Number Theory An Unusual Computer Base 8.NS.1, HSN.CN.1 Algebra 1 Number Theory Divisibility 6.NS.4 6th Number Theory Last Digits Rules 6.NS.2, 6.NS.3, 6.NS.4 6th Number Theory More Divisibility Rules 6.NS.2, 6.NS.3, 6.NS.4 6th Number Theory Cryptograms Solved by Divisibility 6.NS.2, 6.NS.4, 7.NS.2 7th Number Theory Cryptogram Addition Puzzles 7.NS.1, 8.EE.3, HSF.IF.2 Algebra 1 Number Theory Cryptogram Variety Pack 6.NS.2, 6.NS.4, 7.NS.2 7th Number Theory Calculation Tricks 6.NS.2, 6.NS.3, 7.NS.1 6th, 7th Number Theory Digital Roots 7.NS.2, 8.EE.3, HSN.RN.3 7th Number Theory Terminating Decimals 6.NS.6, 7.NS.2 7th Number Theory Repeating Decimals 8.NS.1, 8.EE.2 8th Number Theory Repeating Patterns 7.NS.2, 8.NS.1 7th Number Theory Problem Solving 6.NS.3, 7.NS.2, 8.EE.4 Algebra 1 Number Theory Hexadecimal Divisibility Shortcuts (II) 8.NS.1, 8.NS.2, HSN.RN.3 Algebra 1 Logic Order Logic 6.NS.6, 7.NS.2, 8.EE.5 7th Logic At Least 6.NS.6, 6.EE.5, 7.EE.4 6th, 7th Logic Sums 6.NS.6.A 6th Logic Differences 7.EE.3, 7.NS.1, 7.RP.2 7th Logic Even and Odd 5.OA.3, 6.EE.2, 7.NS.1 6th Truth and Lies Using Parity 7.NS.1, 8.EE.3 7th, 8th Math History Egyptian Multiplication 6.NS.2, 6.NS.3, 7.NS.1 6th Math History The Prime Sieve 6.NS.4, 7.NS.2, 8.EE.3 8th Math History Nicomachus 6.NS.6, 7.NS.2 7th Math History Perfect Numbers 6.NS.4, 7.NS.2, 8.EE.2 8th Expressions & Equations (Grades 6-8) Course Lesson Standards Grade Levels or Subjects Math Puzzles Why Is It Imbalanced? 8.EE.7, 8.EE.8, HSF.IF.7 8th Math Puzzles Can You Find a Way? 6.EE.2, 7.EE.3, 8.EE.7 7th Math Puzzles Go Small or Go Home! 6.EE.7, 7.EE.4, 8.EE.8 8th Math Puzzles Complete This Triangle 8.EE.7, HSG.CO.10 7th Math Puzzles How Much Altogether? 6.EE.6, 7.EE.4, 8.EE.8 7th Math Puzzles What was the Original Area? 8.EE.5, HSF.BF.1, HSG.SRT.2 Algebra 1 Math Puzzles Rearrange the Dots 8.EE.2, 8.G.1, HSF.BF.1 8th Math Puzzles Make Each Edge Sum to Nine 6.NS.6, 7.NS.1, 8.EE.3 6th Math Puzzles Aim Carefully 8.G.1, 8.EE.8, HSF.IF.7 Algebra 1 Math Puzzles Find the Value of B 6.NS.2, 7.EE.4, 8.EE.1 8th Math Puzzles Can You Make It Impossible? 7.EE.3, 7.EE.4 7th Math Puzzles What Costs the Most? 8.EE.8, HSA.CED.1, HSA.REI.3 Algebra 1 Math Puzzles What Does Average Look Like? 7.RP.3, 8.EE.5, HSF.IF.2 Algebra 1 Math Puzzles It's Supposed To Be an 8 8.EE.8, 8.EE.8.C, 8.EE.7 8th Math Puzzles Measure Carefully! 8.EE.7, HSA.CED.1, HSA.REI.3 Algebra 1 Math Puzzles Who Has the Biggest Class? 8.EE.8, HSA.CED.1, HSA.REI.3 Algebra 1 Math Puzzles Solve This Cryptogram 6.EE.2, 7.EE.4, 8.EE.7 7th Math Puzzles Can You Find the Truth? 8.EE.3 8th Math Puzzles Where Do You Even Start? 6.NS.4, 7.EE.4, 8.EE.3 7th Math Puzzles Can You Make It Even? 6.NS.4, 7.NS.1, 8.EE.7 7th Math Puzzles This Is Not Base Ten. 8.EE.3, HSN.RN.1 Algebra 1 Math Puzzles Who Makes the Fewest Hops? 6.NS.4, 7.EE.4, 8.EE.3 7th Vectors Meet Vectors 8.EE.5, 8.G.3, HSN.VM.1 Algebra 1 Vectors From One to Another 8.EE.3, HSN.VM.4, HSN.VM.5 Algebra 1 Vectors Speed Boosts 8.EE.5, 8.G.4 8th Strategy Puzzles Change Some of the Operators 7.NS.1, 7.NS.2, 7.EE.3 7th Strategy Puzzles This Puzzle Has Two Solutions 8.EE.3, HSF.IF.2 8th Strategy Puzzles Are You Positive? 6.NS.6, 7.EE.4, 8.EE.8 7th Strategy Puzzles Is Statement #1 True or False? 8.EE.3, HSF.IF.2 Algebra 1 Strategy Puzzles Make It All Add Up 4.OA.3, 5.NBT.7, 6.EE.2 6th Strategy Puzzles What Happens if You Choose Randomly? 7.NS.1, 7.NS.2, 8.EE.1 7th Strategy Puzzles Where's the Gold? 8.EE.3 8th Strategy Puzzles Don't Use a Calculator 7.NS.2, 8.EE.1 Algebra 1 Strategy Puzzles How Tall Is Kim? 8.EE.7, HSA.CED.1, HSA.CED.2 Algebra 1 Strategy Puzzles Can You Do It Differently? 7.SP.8, 8.EE.8, HSF.IF.7 7th Strategy Puzzles Which One Is Lacking in Factors? 7.NS.2, 7.EE.1, 8.EE.3 8th Strategy Puzzles You Find a List of Six Strange Statements 8.EE.3 8th Strategy Puzzles What's Bob's Number? 8.EE.3 8th Strategy Puzzles Is One Question Enough? 8.EE.3, HSF.IF.2 8th Strategy Puzzles Which Cards Do You Turn? 8.EE.3, HSF.IF.2 8th Strategy Puzzles Who Ate Donnie's Pizza? 7.RP.3, 8.EE.3 7th, 8th Proportional Reasoning Using Graphs 7.RP.2, 8.EE.5 7th, 8th Proportional Reasoning Graphing Relationships 7.RP.2, 8.EE.5 7th Proportional Reasoning Writing Equations 7.RP.2, 7.EE.4, 6.EE.9 7th Proportional Reasoning Equation from a Point 7.RP.3, 8.EE.5 7th Proportional Reasoning Graphing from an Equation 8.EE.5, 8.F.4 8th Proportional Reasoning Graphing Comparisons 7.RP.3, 8.EE.5 7th Reasoning with Logic Union 8.EE.3, HSF.IF.2 Algebra 1 Reasoning with Logic Empty Sets 8.EE.3, HSF.IF.2 Algebra 1 Reasoning with Logic Subsets 8.EE.3, HSF.IF.2 Algebra 1 Reasoning with Logic Determining Existence 8.EE.3, HSF.IF.2 Algebra 1 Reasoning with Logic False Premises 8.EE.3, HSF.IF.2 Algebra 1 Reasoning with Logic Diagramming Arguments 8.EE.3, HSF.IF.2 8th Solving Equations Finding Unknowns 6.EE.2, 6.EE.5, 6.EE.6 6th Solving Equations Equations with Unknowns 6.EE.2, 6.EE.5, 7.EE.4 6th Solving Equations Building Expressions 6.EE.2, 6.EE.2.A, 6.EE.2.B 6th Solving Equations Working with Unknowns 6.EE.5, 6.EE.6, 6.EE.7 6th Solving Equations Finding Solutions 8.EE.7, HSA.CED.1, HSA.REI.1 8th Solving Equations Solving Multiple Equations 8.EE.8, HSA.CED.3, HSA.REI.3 Algebra 1 Solving Equations Rewriting Equations 6.EE.7, 7.EE.4 7th Solving Equations Isolating Unknowns 8.EE.7, HSA.CED.1, HSA.REI.1 Algebra 1 Solving Equations Solving an Equation 8.EE.7, 8.EE.7.A, 8.EE.7.B Algebra 1 Solving Equations Substitution 8.EE.8, 8.EE.8.B, 8.EE.8.C 8th Solving Equations Groups in Equations 6.EE.3, 7.EE.4, 8.EE.7 7th Solving Equations Working with Groups 6.EE.7, 7.EE.4.A 6th, 7th Solving Equations Solving with Groups 8.EE.7, 7.EE.4, 6.EE.2 8th Solving Equations Unpacking Boxes 6.EE.3, 6.EE.4, 7.EE.1 7th Solving Equations Distributing 6.EE.3, 7.EE.1 6th, 7th, Algebra 1 Solving Equations Factoring 6.EE.3, 7.EE.1 Algebra 1 Solving Equations Strategic Moves 8.EE.7, HSA.CED.1, HSA.REI.1 Algebra 1 Solving Equations Combining Like Terms 6.EE.3, 6.EE.4 6th Solving Equations Combining in Equations 7.EE.1, 7.EE.4 7th Solving Equations Rearranging Terms 6.EE.3, 6.EE.4 6th Solving Equations Rearranging Terms in Equations 7.EE.1, 7.EE.2 7th Solving Equations Combining and Solving 8.EE.7, HSA.SSE.1, HSA.CED.1 8th Solving Equations Grouping to Solve 7.EE.1, 7.EE.4, 8.EE.7 7th Solving Equations Unbalanced Scales 6.EE.8, 7.EE.4 6th Solving Equations Inequalities Both Ways 6.EE.8, 7.EE.4 6th Solving Equations Balancing Scales 6.EE.5, 6.EE.7, 7.EE.4 6th Solving Equations Solutions to Inequalities 6.EE.5, 6.EE.8 6th Solving Equations Graphing Inequalities 6.EE.8 6th Solving Equations Graphing Solutions 8.EE.8 8th Solving Equations Finding the Boundary 8.EE.8, HSA.CED.1, HSA.CED.3 Algebra 1 Solving Equations Solving Inequalities 8.EE.8, HSA.REI.3 Algebra 1 Solving Equations Including the Boundary 6.EE.8, 7.EE.4, 8.EE.8 7th Solving Equations Writing Inequalities 6.EE.8 6th Solving Equations Negations 6.EE.5, 6.EE.8 6th Solving Equations Putting It All Together 8.EE.8, HSA.CED.1, HSA.REI.3 8th Solving Equations Systems with Scales 6.EE.2, 6.EE.5, 6.EE.6 6th Solving Equations Balancing with Substitution 6.EE.2, 6.EE.5, 6.EE.7 6th Solving Equations Writing Systems of Equations 8.EE.8, 8.EE.8.A, 8.EE.8.B 8th Solving Equations Substituting Groups 8.EE.3, HSA.CED.2, HSA.CED.4 8th Solving Equations Isolating and Substituting 8.EE.8, HSA.REI.3, HSA.CED.4 8th Solving Equations Substitution Strategy 8.EE.8, HSA.REI.6 8th Solving Equations Subtracting Scales 8.EE.8, 8.EE.8.A, 8.EE.8.B 8th Solving Equations Elimination 8.EE.8 8th Solving Equations Multiplying to Eliminate 8.EE.8, HSA.REI.5 8th Solving Equations Balancing with Variables 6.EE.5, 6.EE.6, 6.EE.7 6th Solving Equations Balancing with Constants 6.EE.7, 7.EE.4, 8.EE.7 7th Solving Equations Balancing with Two Variables 8.EE.7, HSA.CED.1 Algebra 1 Solving Equations Balancing with Equations 7.EE.4, 8.EE.7 7th Solving Equations Balancing with Unknown Weights 6.EE.5, 6.EE.6, 6.EE.7 6th Solving Equations Building Tilted Scales 6.EE.5, 6.EE.6, 7.EE.4 7th Solving Equations Reasoning about Weights 7.RP.2, 7.EE.4 7th Solving Equations More Reasoning about Weights 6.EE.5, 6.EE.6, 6.EE.7 6th Solving Equations Strategic Comparisons 6.EE.7, 7.EE.4, 8.EE.7 6th Solving Equations Reasoning about Two Scales 7.RP.3, 8.EE.5 7th Solving Equations Reasoning with Equations 8.EE.7, HSA.CED.1, HSA.REI.3 8th Solving Equations Unpacking Boxes 6.EE.3, 6.EE.4, 7.EE.1 6th Solving Equations Packing Boxes 7.EE.1, 7.EE.2 7th Solving Equations Reasoning about Unpacking 7.EE.1, 7.EE.2, 8.EE.7 7th Solving Equations Reasoning about Packing Boxes 8.EE.3, 8.EE.7, HSF.IF.7 8th Solving Equations Reasoning about Multiples 7.EE.4, 8.EE.7 7th Solving Equations Constraints 8.EE.8, HSA.CED.3 Algebra 1 Solving Equations Reasoning with Balanced Scales 8.EE.7, 8.EE.8 8th Solving Equations Reasoning with Weighted Scales 7.EE.3, 7.EE.4 7th Solving Equations Reasoning with Scale Systems 7.EE.4, 8.EE.7 7th Solving Equations Constraints in Scale Systems 8.EE.8, HSA.CED.1, HSA.CED.3 Algebra 1 Solving Equations Reasoning with an Inequality 8.EE.8 8th 100 Days of Puzzles The Heavier Side 7.EE.3, 8.EE.8, HSA.CED.1 7th 100 Days of Puzzles Count the Werewolves 8.EE.3, HSF.IF.2 8th 100 Days of Puzzles Make It Equal 5 6.EE.2, 7.EE.3 6th 100 Days of Puzzles Venn Rectangles — 7th 100 Days of Puzzles Carrrs 7.EE.3 7th 100 Days of Puzzles Compare the Weights 6.EE.5, 6.EE.6, 6.EE.7 6th 100 Days of Puzzles How Did They Finish? 7.EE.4, 8.EE.8 7th 100 Days of Puzzles Make Them Inequivalent 6.EE.5, 7.EE.4, 8.EE.7 8th 100 Days of Puzzles Two Wrongs Make a Right 8.EE.3, HSF.IF.2 Algebra 1 100 Days of Puzzles Werewolves Are Liars 8.EE.3, HSF.IF.2 8th 100 Days of Puzzles Rearrange the Dots Again 8.EE.2, HSF.BF.1, HSF.IF.8 Algebra 1 100 Days of Puzzles Go for the Gold 8.EE.3, HSF.IF.2 8th 100 Days of Puzzles Pigeonholed Numbers S.A.1 7th 100 Days of Puzzles Ha ha ha ha! Eh... 7.NS.3, 8.EE.1 7th 100 Days of Puzzles An Infinitely-Zig-Zagging Line 7.RP.2, 8.EE.7, HSF.IF.8 Algebra 1 100 Days of Puzzles Where Is the Gold? 8.EE.3, HSF.IF.2 8th 100 Days of Puzzles Fish Fictions 6.RP.3, 7.RP.2, 8.EE.5 7th 100 Days of Puzzles How Many Werewolves? 8.EE.3, 8.SP.1 8th 100 Days of Puzzles Impossible Result 6.EE.2, 6.EE.3, 7.EE.4 6th 100 Days of Puzzles Add Up to Odd 6.NS.6, 7.EE.4, 8.EE.8 7th 100 Days of Puzzles A's Abound! 6.NS.6, 7.RP.3, 8.EE.3 6th, 7th, 8th 100 Days of Puzzles Running Round in Circles 8.EE.5, HSF.IF.4 Algebra 1 100 Days of Puzzles Human or Werewolf? 8.EE.3 8th 100 Days of Puzzles Make It Equal 28 6.NS.2, 7.NS.2, 8.EE.7 7th 100 Days of Puzzles How Many Ways to Fill the Grid? 7.SP.5, 7.SP.8, 8.EE.5 8th 100 Days of Puzzles Mind Your Ps and Q 7.EE.4, 8.EE.8, HSF.BF.1 8th 100 Days of Puzzles Start in the Middle 6.NS.4, 7.NS.1, 8.EE.3 6th 100 Days of Puzzles Misleading Marathoners 8.EE.3, 7.SP.8, HSF.IF.2 8th 100 Days of Puzzles Make Six Twice 6.NS.3, 7.NS.1, 8.EE.7 6th 100 Days of Puzzles Taking Their Time 7.RP.3, 8.EE.7 8th 100 Days of Puzzles Knight, Knave, or Joker? 8.EE.3, HSF.IF.2 8th 100 Days of Puzzles Cherry Production 6.NS.3, 7.EE.4, 8.EE.7 7th 100 Days of Puzzles The Short Pour 6.NS.3, 7.EE.4, 8.EE.7 7th 100 Days of Puzzles Exactly 3 Divisors? 6.NS.4, 7.NS.2, 8.EE.2 8th 100 Days of Puzzles Humans and Werewolves 8.EE.3, HSF.IF.2 8th 100 Days of Puzzles The Eye of... 7.NS.3, 8.EE.7, HSA.REI.1 8th 100 Days of Puzzles Too Many Twos 6.EE.2, 7.EE.3, 8.EE.7 6th, 7th 100 Days of Puzzles What Color is Shinoy's Hat? 8.EE.3, HSF.IF.2 8th 100 Days of Puzzles The Maximum Maximum 7.EE.1, 7.EE.2 7th Math History Rectangle by Squaring 7.EE.4, 8.EE.7 7th Math History The Prime Sieve 6.NS.4, 7.NS.2, 8.EE.3 8th Math History Even Patterns 8.EE.3, HSN.RN.3 Algebra 1 Math History Perfect Numbers 6.NS.4, 7.NS.2, 8.EE.2 8th Visual Algebra Building Patterns 6.EE.9, 7.RP.2, 8.F.4 6th Visual Algebra Pattern Rules 6.EE.9, 7.EE.4, 8.F.4 6th Visual Algebra Linear Patterns 6.EE.2, 6.EE.9 6th Visual Algebra Growing Patterns 6.EE.9, 7.EE.4 6th Visual Algebra Describing Patterns 6.EE.2 6th Visual Algebra Building Expressions 7.EE.2, 8.EE.2, HSA.CED.2 7th Visual Algebra Constant Terms 8.EE.5 8th Visual Algebra Linear Expressions 8.EE.5, 8.EE.6 8th Visual Algebra More Linear Expressions 8.EE.5, 8.EE.6 8th Visual Algebra Describing Linear Patterns 8.EE.5, 8.EE.6, HSF.BF.1 8th Visual Algebra Building Linear Expressions 8.EE.2, 8.EE.7, 8.F.1 8th Visual Algebra Two-Shape Patterns 7.EE.4, 7.RP.2 7th Visual Algebra Combining Expressions 6.EE.2, 6.EE.3, 6.EE.4 6th Visual Algebra Comparing Expressions 8.EE.7, HSF.LE.1, HSA.CED.1 7th Visual Algebra Removing a Shape 8.EE.5, 7.EE.4, 6.EE.9 7th Visual Algebra Combining Linear Expressions 8.EE.3, 8.EE.7, 8.EE.8 Algebra 1 Visual Algebra Comparing Linear Expressions 8.EE.3 Algebra 1 Visual Algebra Comparing Constants 8.EE.3, 8.EE.7, HSF.IF.2 8th Visual Algebra Using a Table 6.EE.9, 7.RP.2, 8.F.5 7th Visual Algebra Comparing Rates 8.EE.5, 8.EE.6 8th Visual Algebra Comparing More Rates 7.RP.2, 8.EE.5, HSA.CED.2 7th Visual Algebra Comparing Expressions 8.EE.7, HSF.LE.1, HSA.CED.1 Algebra 1 Visual Algebra Quadratic Patterns 8.EE.3 8th Visual Algebra Patterns with a Punch 8.EE.3, HSF.IF.2 Algebra 1 Visual Algebra Rectangle Patterns 8.EE.2, 8.F.1, 7.G.6 8th Visual Algebra Using Rectangle Area 6.EE.2, 6.G.1 6th Visual Algebra A Complicated Area 8.EE.2, HSF.IF.1, HSA.CED.2 Algebra 1 Visual Algebra Equivalent Expressions 8.EE.7, HSF.BF.1, HSA.SSE.1 Algebra 1 Visual Algebra Shifting the Steps — Algebra 1 Visual Algebra Taking a Bite 6.EE.9, 7.G.4, 8.G.6 8th Visual Algebra The Frame 7.EE.2 7th Visual Algebra The Monster Jaw 8.EE.2, 8.G.9 8th Visual Algebra A Triangular Pattern 8.EE.3, HSF.IF.2 8th Visual Algebra Comparing Kinds of Growth 8.EE.5, HSF.IF.3, HSA.CED.1 Algebra 1 Visual Algebra Exponential Patterns 8.EE.1 8th Visual Algebra Growth Factors 8.EE.3, HSF.IF.2 Algebra 1 Visual Algebra Building Exponential Patterns 8.EE.3, HSF.IF.2 8th Visual Algebra Building Linear Patterns 8.EE.5, HSF.IF.1 Algebra 1 Visual Algebra Building Exponential Expressions 8.EE.1 8th Visual Algebra To the Zero Power 8.EE.1 8th Visual Algebra Writing Exponential Expressions 8.EE.1, 8.F.2, HSF.IF.8 8th Visual Algebra Expressing Remainders 7.NS.2, 7.NS.3, 8.EE.3 7th Visual Algebra Periodic Pattern Gallery 7.EE.1, 8.F.5 7th Visual Algebra Periodic Pattern Gallery 2 6.EE.1, 7.NS.2, 8.F.5 7th Visual Algebra Alternating Patterns 6.EE.9, 7.EE.4 6th, 7th Visual Algebra Even and Odd Steps 6.EE.1, 7.RP.3 7th Visual Algebra Adding Two Shapes 6.EE.2, 7.EE.4, 8.F.1 7th Visual Algebra Describing Linear Patterns 8.EE.5, 8.EE.6, HSF.BF.1 8th, Algebra 1 Visual Algebra Describing Exponential Patterns 8.EE.1, HSF.IF.3, HSF.LE.1 Algebra 1 Visual Algebra Two Ways to See 7.EE.1, 7.EE.2 7th Visual Algebra Other Ways to See 8.EE.3, HSF.IF.2 Algebra 1 Geometry Squares and Roots 8.EE.2, 8.G.6, 8.NS.1 8th Functions Seeing Solutions 8.EE.8 8th Functions Graphing Solutions 8.EE.5, 8.F.4, HSF.IF.7 Algebra 1 Functions Revealing Patterns 8.EE.5, 8.F.1, 8.F.4 8th Functions Choosing Values 8.EE.5, 8.EE.6, HSF.IF.7 Algebra 1 Functions Intercepts 8.EE.5, HSF.IF.7, HSA.REI.11 Algebra 1 Functions Up and Down 8.EE.5, HSF.IF.1, HSF.IF.7 Algebra 1 Functions Rate of Change 8.EE.5, 8.F.2, 8.F.4 8th Functions Slope and Parameters 8.EE.5, 8.EE.6, HSF.IF.6 Algebra 1 Functions The y-Intercept 8.EE.5, 8.EE.6, HSA.CED.2 Algebra 1 Functions Horizontal and Vertical Lines 8.EE.5, 8.EE.6 Algebra 1 Functions Linear Systems 8.EE.8 Algebra 1 Functions Finding How Many Solutions 8.EE.8 Algebra 1 Functions Apply: Rules of Thumb 8.EE.5, 8.F.3, HSF.IF.7 8th Exploring Data Visually Log Scales 8.EE.3 High School Infinity What's Infinite? 8.EE.3, HSF.IF.2 Algebra 1 Geometric Thinking The Distributive Property 7.EE.1, 7.EE.2, 8.EE.7 7th Geometric Thinking Difference of Squares 8.EE.3, HSF.IF.2 Algebra 1 Geometric Thinking Coordinate Geometry 8.G.8, 8.EE.8, HSN.CN.6 Algebra 1 Geometric Thinking Infinite Areas 7.RP.3, 8.EE.4 8th Geometric Thinking Counting All Possible Solutions 8.EE.3, HSF.IF.1 Algebra 1 Contest Math Algebra 8.EE.3, 8.EE.5, HSF.IF.2 Algebra 1 Contest Math Number Theory 6.NS.4, 7.NS.2, 8.EE.2 Algebra 1 Contest Math Math Requires Creativity 7.EE.3, 7.SP.5, 8.G.5 8th Contest Math Diagnostic: Ratios and Percentages 7.RP.3, 7.EE.3 7th Contest Math Diagnostic: Simple Equations 8.EE.7, HSA.CED.1, HSA.CED.4 Algebra 1 Contest Math Equations with Ratios 8.EE.7, 8.EE.8, HSA.CED.3 Algebra 1 Contest Math Equations Practice Quiz 1 8.EE.7, 7.RP.3, HSA.CED.1 Algebra 1 Contest Math Equations Practice Quiz 2 8.EE.7, 7.RP.3, HSF.IF.2 Algebra 1 Contest Math Coordinate Geometry HSG.GPE.4, HSG.GPE.5, HSG.GPE.6 Algebra 1 Contest Math Diagnostic: Counting 7.SP.8, 8.EE.3, 6.RP.3 7th Contest Math Diagnostic: Efficiency 6.NS.3, 7.EE.1, 8.EE.7 Algebra 1 Contest Math Calculations 7.NS.3, 8.EE.7, HSF.BF.2 Algebra 1 Contest Math Exponents 8.EE.1, HSF.IF.8, HSN.RN.2 Algebra 1 Contest Math Roots HSF.IF.7, HSA.APR.3, HSA.REI.11 Algebra 1 Contest Math What's the Number? 6.NS.2, 6.EE.2, 7.EE.4 8th Contest Math Efficiency Practice Quiz 1 7.EE.3, 8.EE.1, HSN.RN.2 Algebra 1 Contest Math Efficiency Practice Quiz 2 8.EE.3, HSF.IF.2 Algebra 1 Contest Math Number of Divisors 6.NS.4, 7.NS.2, 8.EE.2 Algebra 1 Contest Math Cryptograms 6.NS.4, 7.NS.2, 8.EE.1 Algebra 1 Contest Math Factorization Practice Quiz 1 6.NS.4, 7.NS.2, 8.EE.2 Algebra 1 Contest Math Factorization Practice Quiz 2 6.NS.4, 7.NS.2, 8.EE.2 Algebra 1 Contest Math Rates and Ratios 7.RP.3, 8.EE.7, HSA.CED.1 Algebra 1 Contest Math Exponents 8.EE.1, HSF.IF.8, HSN.RN.2 Algebra 1 Contest Math Prime Factorization 6.NS.4, 7.NS.2, 8.EE.2 Algebra 1 Contest Math GCD/LCM 6.NS.4, 8.EE.1 Algebra 1 Contest Math Counting Factors 7.NS.2, 8.EE.2, HSA.SSE.2 Algebra 1 Real-World Algebra Using Formulas 6.EE.2, 6.EE.6, 7.EE.4 6th Real-World Algebra Using Variables 6.EE.2, 6.EE.2.A, 6.EE.2.B 6th Real-World Algebra Adjusting Formulas 6.EE.2, 7.EE.4, 8.EE.7 7th Real-World Algebra Equivalent Formulas 7.EE.4 7th Real-World Algebra More Than One Variable 7.EE.4, 8.EE.7, HSA.CED.1 Algebra 1 Real-World Algebra Controlling Costs 7.RP.3, 6.RP.3, 6.EE.2 7th Negative Numbers Opposites 6.NS.6, 7.NS.1, 7.EE.4 6th, 7th Percentages Exponential Growth 8.EE.1, HSF.LE.1, HSF.LE.5 Algebra 1 Coordinate Plane From Points to Lines 8.EE.5, 8.G.1, HSG.GPE.4 8th, Algebra 1 Coordinate Plane Horizontal Lines 8.EE.5, 8.EE.6 8th Coordinate Plane Vertical Lines 8.EE.5, 8.EE.6 8th Coordinate Plane Horizontal and Vertical Lines 8.EE.5, 8.EE.6 8th Coordinate Plane y Inequalities 8.EE.5 8th Coordinate Plane x Inequalities 6.EE.8, 8.EE.5 8th Coordinate Plane Identifying Regions 8.EE.5, 8.EE.6, HSA.REI.12 Algebra 1 Number Theory Secret Messages 8.EE.3, 8.EE.4, HSF.IF.2 8th Number Theory Last Digits 8.EE.3, 8.EE.4 8th Number Theory Arithmetic with Remainders 6.NS.4, 7.NS.2, 8.EE.1 8th Number Theory Prime Factorization 6.NS.4, 8.EE.2 8th Number Theory Factoring Factorials 6.NS.4, 7.NS.2, 8.EE.1 Algebra 1 Number Theory Counting Divisors 6.NS.4, 7.NS.2, 8.EE.2 Algebra 1 Number Theory 100 Doors 6.NS.4, 7.NS.2, 8.EE.2 7th Number Theory 100 Doors Revisited 6.NS.4, 7.NS.2, 8.EE.1 7th Number Theory The LCM 6.NS.4, 7.NS.2, 8.EE.1 6th Number Theory The GCD 6.NS.4, 7.NS.2, 8.EE.2 7th Number Theory Number Jumping (I) 7.NS.1, 8.EE.3, 8.EE.8 7th Number Theory Number Jumping (II) 6.NS.4, 7.NS.1, 8.EE.2 8th Number Theory Relating LCM and GCD 6.NS.4, 8.EE.1 8th Number Theory Billiard Tables Revisited (I) 8.EE.3, HSF.IF.2 Algebra 1 Number Theory Billiard Tables Revisited (II) 7.NS.1, 8.EE.3 8th Number Theory Divisibility by 11 8.EE.2, HSN.RN.3 Algebra 1 Number Theory Star Drawing (II) 8.EE.3, HSF.IF.2 Algebra 1 Number Theory Star Drawing (III) 6.NS.4, 7.NS.2, 8.EE.2 Algebra 1 Number Theory Die-Hard Decanting (II) 7.NS.1, 8.EE.3, HSF.IF.2 Algebra 1 Number Theory Introducing Binary 6.NS.6, 7.NS.1, 8.EE.3 6th Number Theory Binary on Computers 8.EE.3 Algebra 1 Number Theory Exploding Dots 8.EE.3, 8.NS.1, HSF.BF.1 8th Number Theory Binary Operations 8.EE.3 8th Number Theory Perfect Shuffles 7.NS.2, 8.EE.1, HSN.CN.1 Algebra 1 Number Theory Hexadecimal 8.EE.3, HSN.Q.1 Algebra 2 Number Theory Hexadecimal Operations 8.EE.4 Algebra 1 Number Theory Cryptogram Addition Puzzles 7.NS.1, 8.EE.3, HSF.IF.2 Algebra 1 Number Theory Digital Roots 7.NS.2, 8.EE.3, HSN.RN.3 7th Number Theory Repeating Decimals 8.NS.1, 8.EE.2 8th Number Theory Problem Solving 6.NS.3, 7.NS.2, 8.EE.4 Algebra 1 Number Theory Hexadecimal Divisibility Shortcuts (I) 8.EE.1, HSN.CN.1, HSF.IF.2 Algebra 1 Number Theory Hexadecimal Divisibility Shortcuts (III) 8.EE.3, HSN.CN.1 Algebra 1 Number Theory Divisibility Shortcuts in Other Bases 8.EE.3, HSN.CN.1 Algebra 2 Logic Order Logic 6.NS.6, 7.NS.2, 8.EE.5 7th Logic Neighbors — 6th Logic Heights 6.SP.5, 7.EE.4, 8.SP.1 7th Logic Comparisons 6.RP.3, 7.EE.3 6th Logic Value Logic 8.EE.3 8th Logic Negation 7.G.1, 8.EE.5 8th Logic Between 8.EE.3 8th Logic Swapping 7.SP.8, 8.EE.5, 6.RP.3 7th Logic Either/Or 7.RP.3, 8.EE.8 7th Logic At Least 6.NS.6, 6.EE.5, 7.EE.4 6th, 7th Logic At Most 6.EE.5, 6.EE.8, 7.EE.4 7th Logic Differences 7.EE.3, 7.NS.1, 7.RP.2 7th Logic Assigning Sizes 7.RP.3, 8.EE.5, 8.SP.1 7th Logic Even and Odd 5.OA.3, 6.EE.2, 7.NS.1 6th Logic More — 7th Logic Fewer 8.EE.3, HSF.IF.2 8th Logic Mixing Quantifiers 8.EE.3, HSF.IF.2 Algebra 1 Logic Not and No 8.EE.3, 7.RP.1 8th Logic Minimizing 7.RP.3, 8.EE.3, HSF.IF.1 7th, 8th Logic Maximizing 8.EE.3, HSF.IF.2 8th Clustering & Classification Similarity 8.EE.3 High School Clustering & Classification More Than Two Variables 8.EE.3 High School Truth and Lies Driving to Conclusions 8.EE.3 8th Truth and Lies Managing Duplicates 8.EE.3, 7.EE.4, 8.SP.1 8th Truth and Lies Configuring Grids 8.EE.3, 7.RP.3 8th Truth and Lies Sharing Information 7.RP.3, 8.EE.3, 8.EE.5 7th, 8th Truth and Lies Cascading Lights 8.EE.3, HSF.IF.2 8th Truth and Lies Patterns of Lights 8.EE.3 8th Truth and Lies Using Parity 7.NS.1, 8.EE.3 7th, 8th Truth and Lies Rows and Columns 8.EE.3, 8.EE.4, 7.RP.3 8th Truth and Lies Insufficient Information 8.EE.3 8th Truth and Lies Reasoning with Unknowns 8.EE.3, 8.EE.5, HSF.IF.2 Algebra 1 Truth and Lies Counting 8.EE.3, 8.EE.5, 8.SP.1 8th Truth and Lies Robots Ordering Dessert 7.RP.3, 8.EE.4 7th, 8th Truth and Lies Opening Safes 8.EE.3, 7.RP.3, HSF.IF.2 8th Truth and Lies Opening Complex Safes 8.EE.3, HSF.IF.2 Algebra 1 Truth and Lies Androids 8.EE.3, HSF.IF.2 8th Truth and Lies Extrapolate 8.EE.3, HSF.IF.2 8th Truth and Lies Unknown Answers 8.EE.3 8th Truth and Lies Jokers 8.EE.3, HSF.IF.2 8th Truth and Lies Rebels 8.EE.3, HSF.IF.2 8th Truth and Lies Guessing Cards 8.EE.3, 8.EE.5, HSF.IF.2 8th Math History Rectangle by Squaring 7.EE.4, 8.EE.7 7th Math History The Prime Sieve 6.NS.4, 7.NS.2, 8.EE.3 8th Math History Even Patterns 8.EE.3, HSN.RN.3 Algebra 1 Math History Perfect Numbers 6.NS.4, 7.NS.2, 8.EE.2 8th Geometry (Grades 6-8 & High School) Course Lesson Standards Grade Levels or Subjects Mathematical Thinking Splitting and Combining 3.NF.1, 3.NF.2, 3.G.2 6th Mathematical Thinking Equal Parts 3.G.2, 3.NF.1 3rd Math Puzzles Complete This Triangle 8.EE.7, HSG.CO.10 7th Math Puzzles What was the Original Area? 8.EE.5, HSF.BF.1, HSG.SRT.2 Algebra 1 Math Puzzles Rearrange the Dots 8.EE.2, 8.G.1, HSF.BF.1 8th Math Puzzles How Much Space Is Left Empty? 7.G.4, 7.G.6, 8.G.9 7th Math Puzzles Aim Carefully 8.G.1, 8.EE.8, HSF.IF.7 Algebra 1 Math Puzzles Find the Total Shaded Area — 7th Math Puzzles What Is the Sum of These Angles? 8.G.5, HSF.TF.8 Trigonometry Math Puzzles Find the Yellow Area 8.G.1, 8.G.7, HSF.IF.7 Algebra 1 Math Puzzles How Much Is Shaded? — 7th Math Puzzles Is This True or False? — Geometry Math Puzzles Find the Sum of These Angles 7.G.5 7th Math Puzzles Find the Shortest Path 8.G.7 8th Math Puzzles Compare the Shaded Areas 7.G.1, 7.G.6, 8.G.4 7th Math Puzzles Find the Area 7.G.6, 8.G.7 8th Math Puzzles When Will Two Dots Collide? HSN.RN.3 Pre-Calculus Math Puzzles What Happens in the Long Run? HSF.IF.8, HSF.BF.2, HSG.GMD.1 Pre-Calculus Math Puzzles Compare the Areas HSG.GMD.1, HSG.GMD.4 Geometry Math Puzzles Where Should Xavier Set Up Shop? 8.G.8, HSF.IF.7, HSG.GPE.6 8th Math Puzzles What Area Remains Shaded? 8.G.4, HSF.BF.1, HSF.IF.8 Algebra 1 Math Puzzles How Much Variety Is Possible? HSG.CO.2, HSG.CO.3 8th Math Puzzles When Does the Ship Disappear? 8.G.7 Geometry Math Puzzles Let's Tile the Plane with Fractals! 8.G.9, HSF.IF.2 Algebra 1 Math Puzzles Where Does the Ball Fall? 7.G.1, 8.G.9, HSF.IF.2 8th Vectors Meet Vectors 8.EE.5, 8.G.3, HSN.VM.1 Algebra 1 Vectors Length of a Vector HSN.VM.4, HSG.GPE.7 Algebra 2 Vectors Between Two Vectors HSN.VM.3, HSN.VM.4, HSG.GPE.6 Algebra 2 Vectors Moving Along a Line HSN.VM.3, HSN.VM.4, HSG.GPE.2 Algebra 1 Vectors Transformations with Vectors 8.G.1, 8.G.2, 8.G.3 8th Vectors Translations HSG.CO.2 Algebra 1 Vectors Dilations 8.G.3, 8.G.4 8th Vectors Reflections HSG.CO.2, HSG.CO.4, HSG.CO.5 Algebra 1 Vectors Length and Direction 8.G.1, 8.G.2, HSN.VM.1 Algebra 1 Vectors Rotations HSN.VM.3, HSG.CO.2 Trigonometry Vectors Speed Boosts 8.EE.5, 8.G.4 8th Strategy Puzzles Here's a Simple Matchstick Design 7.G.2, 7.G.6 7th Strategy Puzzles Can You Find Them All? — 7th Strategy Puzzles Compare These Two Approximations of 2 Pi HSF.IF.8 Geometry Strategy Puzzles Meet the Cuboctahedron 7.G.6 7th Strategy Puzzles What Happens to This Ball? 8.G.1, 8.G.3, HSF.IF.7 8th Reasoning with Logic Arguments 8.G.5, HSG.MG.1, HSF.IF.1 Algebra 1 Reasoning with Logic Arguments with Negation HSF.IF.1, HSG.CO.2, HSA.CED.2 Algebra 1 Reasoning with Logic Arguing Existence and Negation HSF.IF.1, HSA.CED.2, HSG.CO.2 Algebra 1 100 Days of Puzzles Checkered Cubes 7.G.6, 8.G.9 7th 100 Days of Puzzles Shaded Stars 6.G.1, 7.G.4, 8.G.9 7th 100 Days of Puzzles Venn Rectangles — 7th 100 Days of Puzzles Striking Measure 7.G.5 7th 100 Days of Puzzles Draw the Line 7.G.4, 7.G.6, 8.G.9 7th 100 Days of Puzzles There Are More Than Four Triangles! — 7th 100 Days of Puzzles The Star Area 7.G.6 7th 100 Days of Puzzles Inner and Outer Angles 8.G.5 8th 100 Days of Puzzles Fill the Diagonal 8.G.9, HSF.BF.1, HSF.IF.8 Algebra 1 100 Days of Puzzles Did You Miss Any? — 7th 100 Days of Puzzles Two Triangles, One Trapezoid — 8th 100 Days of Puzzles Keep Coloring Forever — 8th 100 Days of Puzzles There's a Quick Solution 7.G.6 7th 100 Days of Puzzles Gears and Ants 7.RP.3, 8.G.9, HSF.IF.2 8th 100 Days of Puzzles Triangles in Line 7.G.5 7th 100 Days of Puzzles Piece of a Circle — 8th 100 Days of Puzzles Does It Change? 8.G.7, HSG.GMD.1, HSG.GMD.3 Algebra 1 100 Days of Puzzles Can You Find Them All? — 6th 100 Days of Puzzles Red or Blue? 7.G.6, 8.G.7, HSN.Q.1 8th 100 Days of Puzzles Yellow Plus Blue 8.G.5 8th 100 Days of Puzzles Does It Make a Cube? — 6th 100 Days of Puzzles Parallelogram and Circles 7.G.4, 7.G.6, HSG.GPE.7 8th 100 Days of Puzzles Which Has More Faces? 7.G.6 7th 100 Days of Puzzles Overlapping Areas 7.G.6, 8.G.7 7th 100 Days of Puzzles Diagonal Thinking 8.G.6, 8.G.7, 8.G.8 8th 100 Days of Puzzles Angle Hunt — 7th 100 Days of Puzzles Overlapping Rectangles 7.G.6 7th 100 Days of Puzzles Only Two Pieces? 7.G.6 7th 100 Days of Puzzles Perimeter from Perimeters? 7.G.6 7th 100 Days of Puzzles Octagons and Squares 8.G.1, 8.G.4, 8.G.6 8th 100 Days of Puzzles Elephant Ears 8.G.4, HSF.IF.8, HSN.Q.2 8th Group Theory Symmetry HSG.CO.2, HSG.CO.3, HSG.CO.4 Algebra 2 Group Theory Combining Symmetries HSG.CO.2 Algebra 1 Group Theory Cube Symmetries HSG.CO.3 Geometry Group Theory More Group Examples HSN.CN.1, HSA.CED.2, HSG.CO.2 Algebra 2 Visual Algebra Rectangle Patterns 8.EE.2, 8.F.1, 7.G.6 8th Visual Algebra Using Rectangle Area 6.EE.2, 6.G.1 6th Visual Algebra Taking a Bite 6.EE.9, 7.G.4, 8.G.6 8th Visual Algebra The Monster Jaw 8.EE.2, 8.G.9 8th Geometry Angles in Polygons 7.G.5 7th Geometry Exterior and Interior Angles 7.G.5 7th Geometry Polygon Angle Relationships 7.G.2, 8.G.5 7th Geometry Angles Made by Lines 7.G.5 7th Geometry Parallel Lines — 8th Geometry Triangle Sides and Angles — 8th Geometry Perimeters 6.G.1, 7.G.6 6th Geometry Circumference 7.G.4 7th Geometry Arc Length — 7th Geometry Scaling Shapes — 7th Geometry Scaling Lengths 7.G.1, 7.RP.2, 8.G.4 7th Geometry Reasoning About Area 6.G.1, 7.G.6 6th Geometry Polygon Areas 6.G.1, 7.G.6, 8.G.9 7th Geometry Circle Areas — 8th Geometry Scaling Areas 7.G.1, 8.G.4 7th Geometry The Pythagorean Theorem 8.G.6, 8.G.7 8th Geometry Pythagorean Triples 8.G.6, 8.G.7, 8.G.8 8th Geometry Squares and Roots 8.EE.2, 8.G.6, 8.NS.1 8th Geometry Special Right Triangles 8.G.6, 8.G.7, 8.G.8 8th Geometry Applications 8.G.7, 8.G.6, 8.G.8 8th Geometry Surface Area 7.G.6 7th Geometry Surface Area Shortcut — 7th Geometry Pyramids and Cones 7.G.6 8th Geometry Volume 7.G.6 7th Geometry Pyramids and Cones 7.G.6 8th Geometry Trigonometric Ratios HSF.TF.1, HSF.TF.2, HSG.SRT.6 Trigonometry Geometry Solving Right Triangles HSF.TF.3, HSF.TF.8, HSG.SRT.8 Trigonometry Geometry Law of Cosines HSG.SRT.10, HSG.SRT.11 Trigonometry Geometry Law of Sines HSG.SRT.10, HSG.SRT.11 Trigonometry Geometry Ambiguous Cases HSG.SRT.10, HSG.SRT.11 Trigonometry Functions Bounded Graphs HSF.IF.7, HSF.BF.3, HSG.GPE.1 Algebra 1 Geometric Thinking Pythagoras' Theorem 8.G.6, 8.G.7, 8.G.8 8th Geometric Thinking Triangles and Hexagons 7.G.6, 8.G.9, HSG.CO.2 8th Geometric Thinking Strategic Geometry 8.G.2, 7.G.1 8th Geometric Thinking Driving on a Polygon 8.G.5 8th Geometric Thinking Angle Hunting Axioms — 8th Geometric Thinking Advanced Mental Shortcuts 7.G.5 8th Geometric Thinking Internal Angles in a Polygon 7.G.5 7th Geometric Thinking Invariant Angle Sets 7.G.5, 8.G.5, HSG.CO.9 8th Geometric Thinking Advanced Angle Hunts — 8th Geometric Thinking The Triangle Inequality 8.G.7 8th Geometric Thinking Congruent and Similar Triangles 8.G.2, 8.G.4, HSG.SRT.2 8th Geometric Thinking Bass Fishing HSG.SRT.3, HSG.SRT.5 Geometry Geometric Thinking Curry's Paradox HSF.BF.1, HSG.GPE.5, HSN.Q.1 Algebra 2 Geometric Thinking Composite Figure Warm-ups 7.G.6, 8.G.7 7th Geometric Thinking Adding Lines and Grids — 7th Geometric Thinking Complementary Areas 7.G.6, 8.G.7, HSG.GMD.1 8th Geometric Thinking Inclusion and Exclusion — Geometry Geometric Thinking Invariant Areas 7.G.1, 8.G.4, HSG.CO.1 8th Geometric Thinking Angles of Regular Polygons 7.G.5, HSG.CO.9 8th Geometric Thinking Is It Regular? 7.G.2, 8.G.5 8th Geometric Thinking Polygon Areas and Lengths 7.G.6, 8.G.9, HSG.GMD.1 Geometry Geometric Thinking Matchstick Polygons 7.G.6, 8.G.7, 8.G.9 8th Geometric Thinking Stellations HSG.CO.1, HSG.CO.9, HSG.GPE.4 Geometry Geometric Thinking Dissections 7.G.2, 7.G.6 7th Geometric Thinking Central Angles and Arcs 7.G.4, 8.G.9 8th Geometric Thinking Thales's Theorem — Geometry Geometric Thinking Inscribed Angles — Geometry Geometric Thinking Puzzles with Inscribed Angles — Geometry Geometric Thinking Cyclic Quadrilaterals — Geometry Geometric Thinking Power of a Point I — Geometry Geometric Thinking Intersecting Secants — Geometry Geometric Thinking Power of a Point II — Geometry Geometric Thinking Tangents — Geometry Geometric Thinking Problem-Solving Challenges — Geometry Geometric Thinking Right Triangles 8.G.6, 8.G.7, 8.G.8 8th Geometric Thinking Thales + Pythagoras 8.G.6, 8.G.7, 8.G.8 8th Geometric Thinking Cevians HSG.CO.9, HSG.SRT.5 Geometry Geometric Thinking Pegboard Triangles 8.G.1, 8.G.2, 8.G.4 8th Geometric Thinking Three Different Centers HSG.CO.10, HSG.GPE.7 Geometry Geometric Thinking The Circumcenter HSG.CO.10 Geometry Geometric Thinking Euler's Line HSG.CO.10, HSG.GPE.4, HSG.SRT.5 Geometry Geometric Thinking Morley's Triangle HSG.CO.10, HSG.CO.11, HSG.SRT.5 Geometry Geometric Thinking Geometric Stumpers 7.G.1, 8.G.7, HSG.MG.1 8th Geometric Thinking Challenging Composites — 8th Geometric Thinking Coordinate Geometry 8.G.8, 8.EE.8, HSN.CN.6 Algebra 1 Geometric Thinking Advanced Angle Hunting 8.G.5, HSG.CO.9, HSG.CO.10 Geometry Geometric Thinking Applying the Pythagorean Theorem 8.G.7 8th Geometric Thinking Polyomino Tiling 8.G.1, 7.G.6 8th Geometric Thinking Guards in the Gallery HSG.CO.1, HSG.CO.2 Geometry Geometric Thinking Regular Tessellations 7.G.5, 8.G.1 8th Geometric Thinking Semiregular Tessellations 8.G.4 8th Geometric Thinking Transforming Tiles Part 1 8.G.1, 8.G.3, 8.G.4 8th Geometric Thinking Transforming Tiles Part 2 8.G.1, 8.G.2, 8.G.4 8th Geometric Thinking Irregular Tiles HSG.CO.2 Geometry Geometric Thinking Reptiles 7.G.1 8th Geometric Thinking Bigger Polyomino Blocks 8.G.1, 8.G.2, 8.G.3 8th Geometric Thinking Challenging Packing Puzzles 7.G.6 7th Geometric Thinking X-Only 6.G.1, 7.G.6, 8.G.9 7th Geometric Thinking Tiling and Cutting 8.G.1, 8.G.2 8th Geometric Thinking Congruent Cutting 7.G.1, 8.G.1, 8.G.2 8th Geometric Thinking Mathematical Origami HSG.CO.1, HSG.CO.2, HSG.CO.12 Geometry Geometric Thinking Dragon Folding 8.G.1, 8.G.3 8th Geometric Thinking 1D Flat Folding HSG.CO.2 Algebra 1 Geometric Thinking 2D Holes and Cuts HSG.CO.2 Algebra 1 Geometric Thinking 2D Single-Vertex Flat Folding (I) HSG.CO.2 Geometry Geometric Thinking 2D Single-Vertex Flat Folding (II) HSG.CO.2 Geometry Geometric Thinking Strange Polygons 7.G.1, 7.G.6, 8.G.5 8th Geometric Thinking Convex vs. Concave HSG.CO.1, HSG.CO.2 Geometry Geometric Thinking Quadrilateral and Pentagonal Galleries HSG.CO.2 Geometry Geometric Thinking Efficient Guard Placement HSG.CO.2, HSG.MG.1 Geometry Geometric Thinking Worst-Case Designs HSG.CO.2 Algebra 1 Geometric Thinking Fisk's Coloring Proof HSG.CO.2, HSF.IF.1 Geometry Geometric Thinking Further Art Gallery Research HSG.CO.2 Geometry Geometric Thinking Pegboard Rectangles 8.G.1, 8.G.2, HSG.GPE.7 Algebra 1 Geometric Thinking Pegboard Triangles 8.G.1, 8.G.2, 8.G.4 8th Geometric Thinking Pick's Theorem Generalized 8.G.6 8th Geometric Thinking Pick's Theorem with One Hole 8.G.1, 8.G.2 8th Contest Math Geometry 8.G.6, 8.G.7 Geometry Contest Math Math Requires Creativity 7.EE.3, 7.SP.5, 8.G.5 8th Contest Math Non-numeric Geometric Ratios 7.RP.3, 8.G.7, HSG.MG.1 8th Contest Math Diagnostic: Measures — 8th Contest Math Diagnostic: Angle Hunting 7.G.5, 8.G.5 Geometry Contest Math Polygon Angle Hunting 7.G.5, 8.G.5, HSG.CO.9 Geometry Contest Math Special Right Triangles 8.G.6, 8.G.7 Geometry Contest Math Creating Right Triangles — Algebra 1 Contest Math Measures Practice Quiz 1 7.G.6, 8.G.7, HSG.SRT.8 Algebra 1 Contest Math Measures Practice Quiz 2 — Algebra 1 Contest Math Diagnostic: Similarity 8.G.4, 8.G.5, 8.G.6 8th Contest Math Scaling 7.G.1, 8.G.4, HSF.BF.1 8th Contest Math Exploring Similarity 8.G.4, 8.G.5, HSG.SRT.2 8th Contest Math Applying Similarity 8.G.4, HSG.SRT.2, HSG.SRT.5 Geometry Contest Math Coordinate Geometry HSG.GPE.4, HSG.GPE.5, HSG.GPE.6 Algebra 1 Contest Math Similarity Practice Quiz 1 8.G.4, 8.G.5 Geometry Contest Math Similarity Practice Quiz 2 8.G.5, HSG.SRT.2, HSG.SRT.5 Algebra 1 Contest Math Diagnostic: Composites — Algebra 1 Contest Math Lunes & Leaves — Algebra 1 Contest Math Inscribed Figures — Geometry Contest Math Ratios Meet Geometry 7.RP.3, 8.G.7, HSG.MG.1 8th Contest Math Working in 3D 7.G.6, 8.G.9 8th Contest Math Composites Practice Quiz 1 HSG.GMD.1, HSG.GMD.3, HSG.MG.1 Geometry Contest Math Composites Practice Quiz 2 7.G.4, 8.G.9, HSG.GMD.1 Geometry Contest Math Symmetry 8.G.1, HSF.BF.1, HSG.CO.2 Algebra 1 Contest Math Counting Practice Quiz 1 7.SP.8, HSN.CN.9, HSG.CO.10 Algebra 1 Contest Math Color Cube Assembly 8.G.9 8th Contest Math Cauchy-Schwarz HSN.VM.8, HSF.IF.8, HSG.GPE.7 Algebra 2 Contest Math Pythagorean Theorem 8.G.6, 8.G.7, 8.G.8 8th Contest Math Triangle Areas HSG.GMD.1, HSG.SRT.8 Geometry Contest Math Similar Triangles HSG.SRT.2, HSG.SRT.3, HSG.GPE.5 Geometry Contest Math Angle Bisector Theorem HSG.SRT.5 Geometry Contest Math Power of a Point — Geometry Contest Math Cyclic Quadrilaterals — Geometry Contest Math Circles HSG.GPE.1 Geometry Contest Math Coordinate Geometry HSG.GPE.4, HSG.GPE.5, HSG.GPE.6 Algebra 2 Contest Math Conics HSG.GPE.2, HSG.GPE.3, HSG.GPE.1 Pre-Calculus Contest Math Mass Points HSG.CO.1, HSG.SRT.1, HSG.MG.1 Geometry Contest Math Complex Number Geometry HSN.CN.1, HSN.CN.3, HSG.CO.2 Pre-Calculus Contest Math Law of Cosines HSG.SRT.10 Trigonometry Contest Math Law of Sines HSG.SRT.10, HSG.SRT.11, HSG.SRT.9 Trigonometry Contest Math Casework HSF.IF.2, HSA.CED.1, HSG.CO.1 Algebra 2 Contest Math Using Symmetry HSF.IF.2, HSF.BF.1, HSG.CO.9 Algebra 2 Coordinate Plane From Points to Lines 8.EE.5, 8.G.1, HSG.GPE.4 8th, Algebra 1 Coordinate Plane Selecting for Distance 6.NS.6, 6.NS.6.B 6th Coordinate Plane Giving Coordinates 6.NS.6, 6.NS.6.B, 8.G.8 6th, 7th Number Theory Dots on the Diagonal 6.NS.4, 8.G.1, 8.G.4 8th Number Theory Star Drawing (I) 7.G.2, 8.G.1, HSF.BF.1 8th Logic Neighbors — 6th Logic Negation 7.G.1, 8.EE.5 8th Logic Shuffling 6.G.1, 7.SP.8, 5.OA.1 7th Truth and Lies Hat Puzzles 8.SP.1, 7.SP.8, 7.G.1 8th Group Theory Symmetry HSG.CO.2, HSG.CO.3, HSG.CO.4 Algebra 2 Group Theory Combining Symmetries HSG.CO.2 Algebra 1 Group Theory Cube Symmetries HSG.CO.3 Geometry Group Theory More Group Examples HSN.CN.1, HSA.CED.2, HSG.CO.2 Algebra 2 Contest Math Simplifications — Geometry Geometric Thinking Pick's Theorem with Multiple Holes — Algebra 1 Statistics & Probability (Grades 6-8 & High School) Course Lesson Standards Grade Levels or Subjects Math Puzzles How Often Does Sam Win? 7.SP.5, 7.SP.6 7th Math Puzzles How Often Do They Converge? 7.SP.8 8th Math Puzzles How Many are Being Honest? 8.SP.1, 8.SP.2, HSF.IF.4 8th Math Puzzles Which is More Likely? 7.SP.8 7th Math Puzzles Is It Fair? 7.SP.5, 7.SP.7, 7.SP.8 7th Strategy Puzzles You Decide To Play a Hard Game 7.SP.5, 7.SP.7, 7.SP.8 7th Strategy Puzzles Gina's on a Roll! — 7th Strategy Puzzles Can You Do It Differently? 7.SP.8, 8.EE.8, HSF.IF.7 7th Strategy Puzzles Let's mix up some candy! 7.RP.3, 7.SP.5 7th Strategy Puzzles The High Roll Wins! 7.SP.5, 7.SP.7 7th Strategy Puzzles Who Gets There First? 7.SP.8 7th Strategy Puzzles It's a Gift Swap! 7.SP.8, HSF.IF.4 8th Strategy Puzzles Odd or Even? 7.SP.8 7th Reasoning with Logic Introducing Venn Diagrams 7.SP.8, 8.SP.4 7th, 8th Reasoning with Logic Sets 7.SP.8, 8.SP.4 7th Reasoning with Logic Counting in Sets 7.SP.8, HSS.CP.1, HSS.CP.7, S.CP.1, S.CP.7 7th, Algebra 1 Reasoning with Logic Intersection 7.SP.8, 8.SP.1, HSS.CP.1, S.CP.1 7th, Algebra 1 Reasoning with Logic Nonempty Sets 7.SP.8, HSS.CP.1, HSS.CP.4, S.CP.1, S.CP.4 Algebra 1 Reasoning with Logic Counting with Unknowns 7.SP.8, 8.SP.1 7th Reasoning with Logic Limited Knowledge 8.SP.4, HSF.IF.1, HSF.IF.2 Algebra 1 Reasoning with Logic Nested Subsets 7.SP.8, HSS.CP.1, HSS.CP.3, S.CP.1, S.CP.3 Algebra 1 Reasoning with Logic Subsets and Venn Diagrams 7.SP.8, 8.SP.1 7th Reasoning with Logic Disjoint 8.SP.1, HSS.ID.1, S.ID.1 Algebra 1 100 Days of Puzzles In Order or All at Once? 7.SP.8, HSS.CP.9, S.CP.9 7th, Statistics 100 Days of Puzzles Where's the Gold? 8.SP.1, 8.SP.4, HSF.IF.4 8th 100 Days of Puzzles On a Roll 7.SP.5, 7.SP.7, 7.SP.8 7th 100 Days of Puzzles Advances in Wolf Fence Design 7.SP.8, HSS.MD.7, S.MD.7 Statistics 100 Days of Puzzles In the Cards 7.SP.5 7th 100 Days of Puzzles One More Flip 7.SP.5, 7.SP.7, 7.SP.8 7th 100 Days of Puzzles Sock Hop 7.SP.8, HSS.CP.9, S.CP.9 Algebra 1 100 Days of Puzzles Pigeonholed Numbers S.A.1 7th 100 Days of Puzzles Wandering Robots 7.SP.5, 7.SP.6 7th 100 Days of Puzzles Should You Stop Rolling? 7.SP.5, 7.SP.6, HSF.IF.7 Algebra 1 100 Days of Puzzles The Brilliant Hotel 7.SP.8, HSS.CP.9, S.CP.9 Algebra 1 100 Days of Puzzles How Many Werewolves? 8.EE.3, 8.SP.1 8th 100 Days of Puzzles Dice Wars 7.SP.5, 7.SP.7, 8.SP.1 7th 100 Days of Puzzles Crack the Code! 8.SP.1 8th 100 Days of Puzzles Stylish Socks 7.SP.5, 7.SP.6 7th 100 Days of Puzzles How Many Ways to Fill the Grid? 7.SP.5, 7.SP.8, 8.EE.5 8th 100 Days of Puzzles Coins in Boxes 7.SP.5, 7.SP.6, 7.SP.8 7th 100 Days of Puzzles Misleading Marathoners 8.EE.3, 7.SP.8, HSF.IF.2 8th 100 Days of Puzzles How Many Marbles? 7.SP.5, 7.SP.6, 7.SP.7 7th 100 Days of Puzzles Shopping for Socks 7.SP.5, 7.SP.7, 7.SP.8 7th 100 Days of Puzzles Random Numbers 7.SP.5, 7.SP.6 7th Exploring Data Visually Reading Bar Charts 6.SP.4 Middle School Exploring Data Visually Analyzing Bar Charts 6.SP.4 Middle School Exploring Data Visually Pie Charts 6.SP.4 Middle School Exploring Data Visually Histograms 6.SP.4 Middle School Exploring Data Visually Boxplots 6.SP.4 Middle School Exploring Data Visually Observing Relationships 8.SP.1 Middle School Exploring Data Visually Reading Scatter Plots 8.SP.1 High School Predicting with Probability From Data to Probabilities 7.SP.5 High School Contest Math Math Requires Creativity 7.EE.3, 7.SP.5, 8.G.5 8th Contest Math Diagnostic: Data 6.SP.2, 6.SP.3, 6.SP.5 6th Contest Math Data Measures 6.SP.2, 6.SP.3, 6.SP.5 6th Contest Math Changing Data Sets 6.SP.5, 7.SP.1, 7.SP.2 7th Contest Math Determine the Set 7.SP.4, 8.SP.1, HSS.ID.1, S.ID.1 Algebra 1 Contest Math Multiple Possibilities 6.SP.5, 7.SP.1, 7.SP.3 7th Contest Math Data Practice 1 6.SP.1, 6.SP.2, 7.SP.3 Statistics Contest Math Data Practice Quiz 2 6.SP.5, 7.SP.1, 8.SP.1 Algebra 1 Contest Math Diagnostic: Counting 7.SP.8, 8.EE.3, 6.RP.3 7th Contest Math Venn Diagrams 7.SP.8, HSS.CP.7, S.CP.7 Algebra 1 Contest Math Branch Diagrams 7.SP.8 7th Contest Math Over-Counting 7.SP.8, 8.SP.1, HSS.CP.9, S.CP.9 Algebra 1 Contest Math Counting Practice Quiz 1 7.SP.8, HSN.CN.9, HSG.CO.10 Algebra 1 Contest Math Diagnostic: Probability 7.NS.1, 7.SP.5, 7.SP.8 7th Contest Math Probability by Outcomes 7.SP.5, 7.SP.7, 7.SP.8 7th Contest Math PIE and Complements 7.SP.7, 7.SP.8 7th Contest Math Choosing 7.SP.8, HSF.IF.7 Algebra 1 Contest Math Symmetry and Conditional 7.SP.5, 7.SP.6, 7.SP.7 7th Contest Math Probability Practice Quiz 1 7.SP.5, 7.SP.7, 7.SP.8 7th Contest Math Probability Practice Quiz 2 7.SP.5, 7.SP.7, 7.SP.8 8th Contest Math Reframing Problems 7.SP.8, HSA.CED.1, HSA.CED.3 Algebra 1 Contest Math Probability 7.SP.5, 7.SP.7, HSS.CP.1, S.CP.1 Statistics Logic Heights 6.SP.5, 7.EE.4, 8.SP.1 7th Logic Shuffling 6.G.1, 7.SP.8, 5.OA.1 7th Logic Swapping 7.SP.8, 8.EE.5, 6.RP.3 7th Logic Assigning Sizes 7.RP.3, 8.EE.5, 8.SP.1 7th Logic Bigger and Smaller 7.SP.8 7th Logic Multiple Properties 8.SP.1, 7.SP.5 8th Truth and Lies Managing Duplicates 8.EE.3, 7.EE.4, 8.SP.1 8th Truth and Lies Counting 8.EE.3, 8.EE.5, 8.SP.1 8th Truth and Lies Dice Rolls — 7th, 8th Truth and Lies Hat Puzzles 8.SP.1, 7.SP.8, 7.G.1 8th Bayesian Probability Guess Who 8.SP.4 Statistics Bayesian Probability Find the Counterfeit Coin 7.SP.5, 7.SP.6, 7.SP.8 7th Bayesian Probability Measuring Uncertainty 7.SP.5, 7.SP.8 7th Bayesian Probability Information Decreases Uncertainty 8.SP.4, HSF.IF.7, HSF.LE.1 Statistics Everyday Statistics Means 6.SP.5 6th Everyday Statistics Balancing 6.SP.3, 6.SP.5, 7.SP.4 6th Everyday Statistics Distributions 6.SP.2, 6.SP.3, 6.SP.5 6th Everyday Statistics Mean Values 6.SP.2, 6.SP.3, 6.SP.5 6th Everyday Statistics Finding Totals 6.SP.5, 7.SP.1, 7.SP.2 7th Everyday Statistics Predicting Means 6.SP.5, 7.SP.3, 7.SP.5 6th, 7th, 8th Everyday Statistics Rebalancing 6.SP.3, 6.SP.5, 7.SP.2 6th Everyday Statistics Asymmetric Distributions 6.SP.5.C, 7.SP.3 6th Everyday Statistics Means of Lists 6.SP.2, 6.SP.3, 7.SP.1 6th, 7th Everyday Statistics Splitting 6.SP.5, 7.SP.4 7th Everyday Statistics Finding Means 6.SP.5, 7.SP.2 6th, 7th Everyday Statistics Adding a Point 6.SP.5, 7.SP.4 7th Everyday Statistics Updating Means 6.SP.5, 7.SP.1, 7.SP.2 7th Everyday Statistics Comparisons 6.SP.2, 6.SP.3, 7.SP.1 6th, 7th Everyday Statistics Median 6.SP.5, 7.SP.4 6th, 7th Everyday Statistics Finding Medians 6.SP.5, 6.SP.2, 6.SP.4 6th Everyday Statistics Splitting 6.SP.5, 7.SP.4 6th, 7th Everyday Statistics Medians of Lists 6.SP.5, 7.SP.4 6th, 7th Everyday Statistics Adding a Point 6.SP.5, 7.SP.4 7th Everyday Statistics Comparing Median and Mean 6.SP.5, 7.SP.4 7th Everyday Statistics Modes 6.SP.2, 6.SP.3 6th Everyday Statistics Middle 50% 6.SP.5, 7.SP.2, 7.SP.4 7th Everyday Statistics Segmenting Data 6.SP.4, 6.SP.5, 7.SP.1 6th, 7th Everyday Statistics Quartiles 6.SP.4, 6.SP.5 6th Everyday Statistics Interquartile Range 6.SP.4, 6.SP.5 6th, 7th Everyday Statistics Quartiles of Lists 6.SP.4, 6.SP.5 6th Everyday Statistics Boxplots 6.SP.4, 6.SP.5, 7.SP.3 7th Everyday Statistics Adding Whiskers 6.SP.4, 6.SP.5 6th Everyday Statistics Matching the Boxplot 6.SP.4, 6.SP.5 Statistics Everyday Statistics The Range 6.SP.2, 6.SP.3, 6.SP.4 6th Everyday Statistics Comparing Distributions 6.SP.4, 6.SP.5 6th Everyday Statistics Outliers 6.SP.5, 7.SP.1, 7.SP.2 7th Everyday Statistics Skewing the Mean 6.SP.3, 6.SP.5, 7.SP.1 6th Everyday Statistics Defining Outliers 6.SP.4, 6.SP.5 8th Everyday Statistics Identifying Outliers 6.SP.4, 6.SP.5 6th Everyday Statistics Outside the Whiskers 6.SP.4, 6.SP.5 6th, 7th Probability and Chance Comparing Likelihoods 7.SP.5, 7.SP.6, 7.SP.7 7th Probability and Chance Multiple Decks 7.SP.5, 7.SP.6, 7.SP.7 7th Probability and Chance Counting Outcomes 7.SP.8, 7.SP.8.B 7th Probability and Chance Possibilities and Probability 7.SP.5, 7.SP.6, 7.SP.7 7th Probability and Chance Two Card Totals 7.SP.5, 7.SP.7, 7.SP.8 7th Probability and Chance Selecting Success 7.SP.5, 7.SP.6 7th Probability and Chance Calculating Probability 7.SP.5, 7.SP.6, 7.SP.7 7th Probability and Chance Dice and Coins 7.SP.5, 7.SP.7, 7.SP.8 7th Probability and Chance Comparing Combinations 7.SP.8, 8.SP.4 7th, 8th Probability and Chance Stacking the Deck 7.SP.5, 7.SP.7, 7.SP.8 7th Probability and Chance Changing the Odds 7.SP.5, 7.SP.6, 7.SP.8 7th Probability and Chance Probability and Value 7.SP.5, 7.SP.6, 7.SP.7 7th Probability and Chance Expected Value 7.SP.5, 7.SP.6, 7.SP.7 7th Probability and Chance Comparing Value 7.SP.5, 7.SP.6, 7.SP.7 7th Probability and Chance Multiple Event Value — 7th Probability and Chance Multiple Event Comparisons 7.SP.5, 7.SP.6, 7.SP.7 7th Probability and Chance Venn Diagrams 7.SP.8, HSS.CP.1, HSS.CP.2, S.CP.1, S.CP.2 7th Probability and Chance AND Probabilities 7.SP.7, 7.SP.8 7th Probability and Chance OR Probabilities 7.SP.7, 7.SP.8 7th Probability and Chance Outcomes in OR 7.SP.7, 7.SP.8 7th Probability and Chance Calculating OR 7.SP.8, HSS.CP.7, S.CP.7 Statistics Probability and Chance Not Probability 7.SP.5, 7.SP.6 7th Probability and Chance Dependent or Independent 7.SP.5, 7.SP.6, 7.SP.7 7th Probability and Chance Identifying Dependence 7.SP.5, 7.SP.7, 7.SP.8 7th Probability and Chance Calculating Conditionals — 7th Probability and Chance Independent AND 7.SP.8, 7.SP.8.A, 7.SP.8.B 7th Number & Quantity (High School) Course Lesson Standards Grade Levels or Subjects Math Puzzles When Will Two Dots Collide? HSN.RN.3 Pre-Calculus Math Puzzles Are They All Equal? HSN.CN.1 Algebra 2 Math Puzzles This Is Not Base Ten. 8.EE.3, HSN.RN.1 Algebra 1 Vectors Meet Vectors 8.EE.5, 8.G.3, HSN.VM.1 Algebra 1 Vectors Adding Vectors HSN.VM.4 Algebra 1 Vectors From One to Another 8.EE.3, HSN.VM.4, HSN.VM.5 Algebra 1 Vectors Length of a Vector HSN.VM.4, HSG.GPE.7 Algebra 2 Vectors Scaling Vectors HSN.VM.4, HSN.VM.5 Algebra 2 Vectors Between Two Vectors HSN.VM.3, HSN.VM.4, HSG.GPE.6 Algebra 2 Vectors Moving Along a Line HSN.VM.3, HSN.VM.4, HSG.GPE.2 Algebra 1 Vectors Length and Direction 8.G.1, 8.G.2, HSN.VM.1 Algebra 1 Vectors Polar Coordinates HSN.VM.3, HSF.TF.8 Pre-Calculus Vectors Polar to Rectangular HSN.VM.3, HSN.VM.4, HSN.VM.5 Pre-Calculus Vectors Vectors in Any Direction HSN.VM.1, HSN.VM.2, HSF.TF.2 Trigonometry Vectors Rotations HSN.VM.3, HSG.CO.2 Trigonometry Vectors The Dot Product HSN.VM.12 Algebra 2 Vectors A Formula for Dot Product HSN.VM.12, HSN.VM.11 Pre-Calculus Vectors Dot Product and Direction HSN.VM.12, HSN.VM.13 Algebra 2 Vectors Dot Product with Components HSN.VM.12, HSN.VM.13 Pre-Calculus 100 Days of Puzzles Red or Blue? 7.G.6, 8.G.7, HSN.Q.1 8th 100 Days of Puzzles Elephant Ears 8.G.4, HSF.IF.8, HSN.Q.2 8th Math History Even Patterns 8.EE.3, HSN.RN.3 Algebra 1 Math History Mersenne Primes HSN.RN.2, HSN.Q.1, HSA.SSE.2 Algebra 2 Group Theory Group Axioms HSN.CN.1, HSF.IF.1, HSF.F.3 Algebra 2 Group Theory Axioms and Basic Examples HSN.CN.1, HSF.IF.1, HSA.CED.2 Algebra 2 Group Theory More Group Examples HSN.CN.1, HSA.CED.2, HSG.CO.2 Algebra 2 Group Theory Subgroups HSN.CN.1, HSA.CED.4 Algebra 2 Group Theory Abelian Groups HSN.CN.1 Algebra 2 Group Theory Homomorphisms HSN.CN.1, HSA.CED.4, HSF.IF.1 Algebra 2 Group Theory Quotient Groups HSN.CN.1, HSA.CED.2 Algebra 2 Group Theory Number Theory HSN.CN.1, HSF.IF.1 Algebra 2 Group Theory Puzzle Games HSN.CN.1 Algebra 2 Group Theory Normal Subgroups HSN.CN.1 Algebra 2 Group Theory Isomorphism Theorems HSN.CN.1, HSF.IF.1, HSA.CED.2 Algebra 2 Group Theory Conjugacy Classes HSN.CN.1 Algebra 2 Group Theory Signs of Permutations HSN.CN.1, HSF.IF.1, HSA.CED.2 Algebra 2 Group Theory Semidirect Products HSN.CN.1, HSF.IF.2 Algebra 2 Group Theory Sylow Theorems HSN.CN.1, HSA.CED.2 Algebra 2 Infinity Cantor's Quest HSN.CN.1 Algebra 2 Geometric Thinking Difference of Squares Challenges HSN.CN.1, HSA.SSE.2, HSA.REI.4 Algebra 1 Geometric Thinking Curry's Paradox HSF.BF.1, HSG.GPE.5, HSN.Q.1 Algebra 2 Geometric Thinking Coordinate Geometry 8.G.8, 8.EE.8, HSN.CN.6 Algebra 1 Contest Math Counting Practice Quiz 1 7.SP.8, HSN.CN.9, HSG.CO.10 Algebra 1 Contest Math Roots HSF.IF.7, HSA.APR.3, HSA.REI.11 Algebra 1 Contest Math Efficiency Practice Quiz 1 7.EE.3, 8.EE.1, HSN.RN.2 Algebra 1 Contest Math Factorials HSF.IF.2, HSA.CED.2, HSN.CN.1 Algebra 2 Contest Math Quadratics HSN.CN.1, HSF.IF.7, HSA.REI.4 Algebra 2 Contest Math Exponents 8.EE.1, HSF.IF.8, HSN.RN.2 Algebra 1 Contest Math Cauchy-Schwarz HSN.VM.8, HSF.IF.8, HSG.GPE.7 Algebra 2 Contest Math Vieta's Formulas HSN.CN.9, HSA.APR.3 Algebra 2 Contest Math System of Congruences HSN.CN.1, HSA.CED.2 Algebra 2 Contest Math Fractions HSN.CN.1, HSF.IF.2 Algebra 2 Contest Math Units Digit HSN.CN.1, HSA.CED.4, HSF.IF.2 Algebra 2 Contest Math Complex Number Geometry HSN.CN.1, HSN.CN.3, HSG.CO.2 Pre-Calculus Contest Math Roots of Unity HSN.CN.1, HSN.CN.2, HSN.CN.3 Pre-Calculus Number Theory Modular Congruence HSN.CN.1, HSF.IF.2 Algebra 1 Number Theory Modular Arithmetic HSN.CN.1, HSN.CN.2, HSN.CN.3 Algebra 1 Number Theory Divisibility by 11 8.EE.2, HSN.RN.3 Algebra 1 Number Theory Additive Cycles HSN.CN.1, HSA.CED.2 Algebra 2 Number Theory Modular Multiplicative Inverses HSN.RN.3 Algebra 2 Number Theory Multiplicative Cycles HSN.CN.1, HSF.IF.1 Algebra 2 Number Theory Fermat's Little Theorem HSN.CN.1, HSN.CN.2, HSN.CN.3 Algebra 2 Number Theory Totients HSN.CN.1, HSN.CN.2 Algebra 2 Number Theory Last Digits Revisited HSN.CN.1, HSF.IF.2 Algebra 2 Number Theory Perfect Shuffling HSN.CN.1, HSA.CED.2 Algebra 2 Number Theory Multiple Infinities HSN.CN.1, HSF.IF.1 Pre-Calculus Number Theory The Invention of Number Bases 7.NS.2, 8.NS.1, HSN.RN.3 8th Number Theory Perfect Shuffles 7.NS.2, 8.EE.1, HSN.CN.1 Algebra 1 Number Theory Hexadecimal 8.EE.3, HSN.Q.1 Algebra 2 Number Theory An Unusual Computer Base 8.NS.1, HSN.CN.1 Algebra 1 Number Theory Digital Roots 7.NS.2, 8.EE.3, HSN.RN.3 7th Number Theory Hexadecimal Divisibility Shortcuts (I) 8.EE.1, HSN.CN.1, HSF.IF.2 Algebra 1 Number Theory Hexadecimal Divisibility Shortcuts (II) 8.NS.1, 8.NS.2, HSN.RN.3 Algebra 1 Number Theory Hexadecimal Divisibility Shortcuts (III) 8.EE.3, HSN.CN.1 Algebra 1 Number Theory Divisibility Shortcuts in Other Bases 8.EE.3, HSN.CN.1 Algebra 2 Number Theory Hexadecimal Last Digits HSN.CN.1, HSN.CN.2 Algebra 2 Number Theory Last Digits in Other Bases HSN.CN.1, HSN.CN.2, HSN.CN.3 Algebra 2 Group Theory Group Axioms HSN.CN.1, HSF.IF.1, HSF.F.3 Algebra 2 Group Theory Axioms and Basic Examples HSN.CN.1, HSF.IF.1, HSA.CED.2 Algebra 2 Group Theory More Group Examples HSN.CN.1, HSA.CED.2, HSG.CO.2 Algebra 2 Group Theory Subgroups HSN.CN.1, HSA.CED.4 Algebra 2 Group Theory Abelian Groups HSN.CN.1 Algebra 2 Group Theory Homomorphisms HSN.CN.1, HSA.CED.4, HSF.IF.1 Algebra 2 Group Theory Quotient Groups HSN.CN.1, HSA.CED.2 Algebra 2 Group Theory Number Theory HSN.CN.1, HSF.IF.1 Algebra 2 Group Theory Puzzle Games HSN.CN.1 Algebra 2 Group Theory Normal Subgroups HSN.CN.1 Algebra 2 Group Theory Isomorphism Theorems HSN.CN.1, HSF.IF.1, HSA.CED.2 Algebra 2 Group Theory Conjugacy Classes HSN.CN.1 Algebra 2 Group Theory Signs of Permutations HSN.CN.1, HSF.IF.1, HSA.CED.2 Algebra 2 Group Theory Semidirect Products HSN.CN.1, HSF.IF.2 Algebra 2 Group Theory Sylow Theorems HSN.CN.1, HSA.CED.2 Algebra 2 Math History Even Patterns 8.EE.3, HSN.RN.3 Algebra 1 Math History Mersenne Primes HSN.RN.2, HSN.Q.1, HSA.SSE.2 Algebra 2 Algebra (High School) Course Lesson Standards Grade Levels or Subjects Mathematical Thinking Adding Same-Sized Fractions 4.NF.3, 4.NF.3.A, 4.NF.3.B 4th Math Puzzles What Costs the Most? 8.EE.8, HSA.CED.1, HSA.REI.3 Algebra 1 Math Puzzles Measure Carefully! 8.EE.7, HSA.CED.1, HSA.REI.3 Algebra 1 Math Puzzles Which Is Greater? HSF.IF.2, HSF.BF.1, HSA.CED.1 Algebra 2 Math Puzzles Who Has the Biggest Class? 8.EE.8, HSA.CED.1, HSA.REI.3 Algebra 1 Math Puzzles One, Two, Three, Four... HSF.IF.2, HSA.CED.2 Physics Math Puzzles How Long Does It Take Sally? HSF.IF.2, HSA.CED.4 Algebra 1 Strategy Puzzles How Tall Is Kim? 8.EE.7, HSA.CED.1, HSA.CED.2 Algebra 1 Reasoning with Logic Arguments with Negation HSF.IF.1, HSG.CO.2, HSA.CED.2 Algebra 1 Reasoning with Logic Handling Existence HSF.IF.1, HSA.CED.2 Algebra 1 Reasoning with Logic Arguing Existence HSF.IF.1, HSA.CED.2 Algebra 1 Reasoning with Logic Arguing Existence and Negation HSF.IF.1, HSA.CED.2, HSG.CO.2 Algebra 1 Reasoning with Logic Analyzing Arguments HSF.IF.1, HSA.CED.2, HSA.CED.4 Algebra 1 Regression Understand Coefficients HSA.CED.2 High School Solving Equations Building Expressions 6.EE.2, 6.EE.2.A, 6.EE.2.B 6th Solving Equations Finding Solutions 8.EE.7, HSA.CED.1, HSA.REI.1 8th Solving Equations Solving Multiple Equations 8.EE.8, HSA.CED.3, HSA.REI.3 Algebra 1 Solving Equations Isolating Unknowns 8.EE.7, HSA.CED.1, HSA.REI.1 Algebra 1 Solving Equations Solving an Equation 8.EE.7, 8.EE.7.A, 8.EE.7.B Algebra 1 Solving Equations Working with Groups 6.EE.7, 7.EE.4.A 6th, 7th Solving Equations Strategic Moves 8.EE.7, HSA.CED.1, HSA.REI.1 Algebra 1 Solving Equations Combining and Solving 8.EE.7, HSA.SSE.1, HSA.CED.1 8th Solving Equations Finding the Boundary 8.EE.8, HSA.CED.1, HSA.CED.3 Algebra 1 Solving Equations Solving Inequalities 8.EE.8, HSA.REI.3 Algebra 1 Solving Equations Putting It All Together 8.EE.8, HSA.CED.1, HSA.REI.3 8th Solving Equations Writing Systems of Equations 8.EE.8, 8.EE.8.A, 8.EE.8.B 8th Solving Equations Substituting Groups 8.EE.3, HSA.CED.2, HSA.CED.4 8th Solving Equations Isolating and Substituting 8.EE.8, HSA.REI.3, HSA.CED.4 8th Solving Equations Substitution Strategy 8.EE.8, HSA.REI.6 8th Solving Equations Subtracting Scales 8.EE.8, 8.EE.8.A, 8.EE.8.B 8th Solving Equations Multiplying to Eliminate 8.EE.8, HSA.REI.5 8th Solving Equations Balancing with Two Variables 8.EE.7, HSA.CED.1 Algebra 1 Solving Equations Reasoning with Equations 8.EE.7, HSA.CED.1, HSA.REI.3 8th Solving Equations Constraints 8.EE.8, HSA.CED.3 Algebra 1 Solving Equations More Constraints HSA.CED.1, HSA.CED.3, HSA.REI.3 Algebra 1 Solving Equations Constraints in Scale Systems 8.EE.8, HSA.CED.1, HSA.CED.3 Algebra 1 100 Days of Puzzles The Heavier Side 7.EE.3, 8.EE.8, HSA.CED.1 7th 100 Days of Puzzles The Eye of... 7.NS.3, 8.EE.7, HSA.REI.1 8th Math History Mersenne Primes HSN.RN.2, HSN.Q.1, HSA.SSE.2 Algebra 2 Group Theory Axioms and Basic Examples HSN.CN.1, HSF.IF.1, HSA.CED.2 Algebra 2 Group Theory More Group Examples HSN.CN.1, HSA.CED.2, HSG.CO.2 Algebra 2 Group Theory Subgroups HSN.CN.1, HSA.CED.4 Algebra 2 Group Theory Homomorphisms HSN.CN.1, HSA.CED.4, HSF.IF.1 Algebra 2 Group Theory Quotient Groups HSN.CN.1, HSA.CED.2 Algebra 2 Group Theory Rubik's Cubes HSA.CED.1, HSA.CED.2, HSA.REI.2 Algebra 2 Group Theory Isomorphism Theorems HSN.CN.1, HSF.IF.1, HSA.CED.2 Algebra 2 Group Theory Signs of Permutations HSN.CN.1, HSF.IF.1, HSA.CED.2 Algebra 2 Group Theory Sylow Theorems HSN.CN.1, HSA.CED.2 Algebra 2 Visual Algebra Building Expressions 7.EE.2, 8.EE.2, HSA.CED.2 7th Visual Algebra Linear Pattern Gallery HSF.IF.1, HSF.LE.1, HSA.CED.1 Algebra 1 Visual Algebra Comparing More Rates 7.RP.2, 8.EE.5, HSA.CED.2 7th Visual Algebra Comparing Expressions 8.EE.7, HSF.LE.1, HSA.CED.1 Algebra 1 Visual Algebra Quadratics with a Linear Term HSF.IF.1, HSA.CED.2 Algebra 1 Visual Algebra A Complicated Area 8.EE.2, HSF.IF.1, HSA.CED.2 Algebra 1 Visual Algebra Equivalent Expressions 8.EE.7, HSF.BF.1, HSA.SSE.1 Algebra 1 Visual Algebra Shifting the Steps — Algebra 1 Visual Algebra Describing Quadratic Growth HSF.IF.1, HSF.IF.2, HSA.CED.2 Algebra 1 Visual Algebra Comparing Kinds of Growth 8.EE.5, HSF.IF.3, HSA.CED.1 Algebra 1 Visual Algebra ID'ing the Type of Pattern HSF.LE.1 Algebra 1 Visual Algebra Describing Quadratic Patterns HSF.IF.1, HSF.IF.3, HSA.CED.2 Algebra 1 Functions Intercepts 8.EE.5, HSF.IF.7, HSA.REI.11 Algebra 1 Functions The y-Intercept 8.EE.5, 8.EE.6, HSA.CED.2 Algebra 1 Functions Interval Notation HSF.IF.1, HSF.IF.2, HSA.CED.2 Algebra 1 Functions Multiple Intervals HSF.IF.2, HSA.CED.1, HSA.CED.3 Algebra 1 Functions Transforming Parabolas HSF.IF.7, HSF.BF.3, HSA.CED.2 Algebra 1 Functions Optimizing Revenue HSF.IF.4, HSF.IF.7, HSA.CED.1 Algebra 1 Functions Solving Quadratics HSF.IF.2, HSA.CED.2 Algebra 1 Functions Factored Form HSF.IF.8, HSF.IF.7, HSA.SSE.3 Algebra 1 Functions Factoring a Quadratic HSA.SSE.3, HSF.IF.8 Algebra 1 Functions Perfect Squares HSF.IF.8, HSF.BF.1, HSA.SSE.2 Algebra 1 Functions Completing the Square HSA.REI.4 Algebra 1 Functions General Solution HSF.IF.8, HSA.REI.4 Algebra 1 Functions Solving with the Quadratic Formula HSF.IF.7, HSA.REI.4 Algebra 1 Functions Counting Zeros HSF.IF.7, HSF.IF.8, HSA.REI.4 Algebra 1 Exploring Data Visually Filters with Inequalities HSA.CED.3 High School Geometric Thinking Difference of Squares Challenges HSN.CN.1, HSA.SSE.2, HSA.REI.4 Algebra 1 Geometric Thinking The Quadratic Formula — Algebra 1 Contest Math Diagnostic: Simple Equations 8.EE.7, HSA.CED.1, HSA.CED.4 Algebra 1 Contest Math Sequences and Series HSF.BF.1, HSF.IF.3, HSA.SSE.1 Algebra 1 Contest Math Equations with Ratios 8.EE.7, 8.EE.8, HSA.CED.3 Algebra 1 Contest Math Equations Practice Quiz 1 8.EE.7, 7.RP.3, HSA.CED.1 Algebra 1 Contest Math Factorials HSF.IF.2, HSA.CED.2, HSN.CN.1 Algebra 2 Contest Math Reframing Problems 7.SP.8, HSA.CED.1, HSA.CED.3 Algebra 1 Contest Math Key Strategies HSF.IF.1, HSF.IF.2, HSA.CED.2 Algebra 2 Contest Math Systems of Equations HSA.REI.6, HSA.CED.3, HSA.APR.3 Algebra 2 Contest Math Rates and Ratios 7.RP.3, 8.EE.7, HSA.CED.1 Algebra 1 Contest Math Quadratics HSN.CN.1, HSF.IF.7, HSA.REI.4 Algebra 2 Contest Math Logarithms HSF.IF.7, HSF.BF.5, HSA.REI.11 Algebra 2 Contest Math Basic Inequalities HSA.CED.1, HSA.REI.3 Algebra 1 Contest Math AM-GM HSF.IF.2, HSA.CED.1, HSA.CED.4 Algebra 2 Contest Math Roots HSF.IF.7, HSA.APR.3, HSA.REI.11 Algebra 2 Contest Math Equations HSA.REI.4, HSF.IF.7, HSF.BF.1 Algebra 2 Contest Math Vieta's Formulas HSN.CN.9, HSA.APR.3 Algebra 2 Contest Math Transformations HSF.IF.2, HSF.BF.3, HSA.REI.4 Algebra 2 Contest Math Counting Factors 7.NS.2, 8.EE.2, HSA.SSE.2 Algebra 1 Contest Math System of Congruences HSN.CN.1, HSA.CED.2 Algebra 2 Contest Math Units Digit HSN.CN.1, HSA.CED.4, HSF.IF.2 Algebra 2 Contest Math Binomial Coefficients HSA.APR.5 Algebra 2 Contest Math Balls and Urns HSF.IF.2, HSA.CED.4 Algebra 2 Contest Math Casework HSF.IF.2, HSA.CED.1, HSG.CO.1 Algebra 2 Contest Math Extreme Cases and Invariants HSF.IF.7, HSA.CED.1, HSA.CED.3 Algebra 2 Contest Math Generalization HSF.IF.2, HSF.BF.1, HSA.SSE.1 Algebra 2 Contest Math Eliminating Choices HSA.CED.2, HSA.REI.2, HSF.IF.7 Algebra 2 Real-World Algebra Using Variables 6.EE.2, 6.EE.2.A, 6.EE.2.B 6th Real-World Algebra More Than One Variable 7.EE.4, 8.EE.7, HSA.CED.1 Algebra 1 Negative Numbers Positives and Negatives 6.NS.6, 7.NS.1, 7.NS.1.A 6th, 7th Negative Numbers Adding Negatives and Positives 7.NS.1, 7.NS.1.A 7th Coordinate Plane Coordinates 6.NS.6, 6.NS.6.A, 6.NS.6.B 6th Coordinate Plane Axes 6.NS.6, 6.NS.6.A, 6.NS.6.B 6th Coordinate Plane x and y Coordinates 6.NS.6, 6.NS.6.A, 6.NS.6.B 6th Coordinate Plane Identifying Points 6.NS.6, 6.NS.6.A, 6.NS.6.B 6th Coordinate Plane Negative Coordinates 6.NS.6, 6.NS.6.A, 6.NS.6.B 6th Coordinate Plane Selecting Quadrants 6.NS.6, 6.NS.6.B, 6.NS.6.A 6th Coordinate Plane Points in Quadrants 6.NS.6, 6.NS.6.B, 6.NS.6.A 6th Coordinate Plane Plotting Negative Coordinates 6.NS.6, 6.NS.6.A, 6.NS.6.B 6th Coordinate Plane Identifying More Points 6.NS.6, 6.NS.6.A, 6.NS.6.B 6th Coordinate Plane Identifying Regions 8.EE.5, 8.EE.6, HSA.REI.12 Algebra 1 Coordinate Plane Distance From Axes 6.NS.6, 6.NS.6.A, 6.NS.6.B 6th Coordinate Plane Distance Between Points 6.NS.6, 6.NS.6.A 6th Number Theory Last Digits 8.EE.3, 8.EE.4 Algebra 1 Number Theory Additive Cycles HSN.CN.1, HSA.CED.2 Algebra 2 Number Theory Perfect Shuffling HSN.CN.1, HSA.CED.2 Algebra 2 Number Theory Factorial Refresher HSF.IF.2, HSA.SSE.1, HSF.BF.1 Algebra 1 Logic Sums 6.NS.6.A 6th Calculus Apply: Falling objects HSF.IF.2, HSA.CED.2, HSF.F.3 Calculus Calculus Harmonic Sum HSF.IF.7, HSF.BF.1, HSA.REI.11 Calculus Calculus Apply: The Tower of Lire HSF.IF.2, HSA.CED.4 Algebra 2 Calculus Intermediate Value Theorem HSF.IF.2, HSF.IF.7, HSA.REI.11 Calculus Probability and Chance Independent AND 7.SP.8, 7.SP.8.A, 7.SP.8.B 7th Group Theory Axioms and Basic Examples HSN.CN.1, HSF.IF.1, HSA.CED.2 Algebra 2 Group Theory More Group Examples HSN.CN.1, HSA.CED.2, HSG.CO.2 Algebra 2 Group Theory Subgroups HSN.CN.1, HSA.CED.4 Algebra 2 Group Theory Homomorphisms HSN.CN.1, HSA.CED.4, HSF.IF.1 Algebra 2 Group Theory Quotient Groups HSN.CN.1, HSA.CED.2 Algebra 2 Group Theory Rubik's Cubes HSA.CED.1, HSA.CED.2, HSA.REI.2 Algebra 2 Group Theory Isomorphism Theorems HSN.CN.1, HSF.IF.1, HSA.CED.2 Algebra 2 Group Theory Signs of Permutations HSN.CN.1, HSF.IF.1, HSA.CED.2 Algebra 2 Group Theory Sylow Theorems HSN.CN.1, HSA.CED.2 Algebra 2 Math History Mersenne Primes HSN.RN.2, HSN.Q.1, HSA.SSE.2 Algebra 2 Functions (Grades 8 & High School) Course Lesson Standards Grade Levels or Subjects Math Puzzles Why Is It Imbalanced? 8.EE.7, 8.EE.8, HSF.IF.7 8th Math Puzzles What was the Original Area? 8.EE.5, HSF.BF.1, HSG.SRT.2 Algebra 1 Math Puzzles Rearrange the Dots 8.EE.2, 8.G.1, HSF.BF.1 8th Math Puzzles Aim Carefully 8.G.1, 8.EE.8, HSF.IF.7 Algebra 1 Math Puzzles What Is the Sum of These Angles? 8.G.5, HSF.TF.8 Trigonometry Math Puzzles Find the Yellow Area 8.G.1, 8.G.7, HSF.IF.7 Algebra 1 Math Puzzles What Does Average Look Like? 7.RP.3, 8.EE.5, HSF.IF.2 Algebra 1 Math Puzzles Which Waves Make These Waves? HSF.IF.7, HSF.BF.3 Trigonometry Math Puzzles Which Is Greater? HSF.IF.2, HSF.BF.1, HSA.CED.1 Algebra 2 Math Puzzles Which Is Bigger? HSF.IF.2 Algebra 2 Math Puzzles What Happens in the Long Run? HSF.IF.8, HSF.BF.2, HSG.GMD.1 Pre-Calculus Math Puzzles What Is Her Flight Path? HSF.IF.1 Pre-Calculus Math Puzzles Where Should Xavier Set Up Shop? 8.G.8, HSF.IF.7, HSG.GPE.6 8th Math Puzzles How Many are Being Honest? 8.SP.1, 8.SP.2, HSF.IF.4 8th Math Puzzles One, Two, Three, Four... HSF.IF.2, HSA.CED.2 Physics Math Puzzles Find the Derivative HSF.IF.7, HSF.BF.3, HSF.CED.1 Calculus Math Puzzles What Area Remains Shaded? 8.G.4, HSF.BF.1, HSF.IF.8 Algebra 1 Math Puzzles How Long Does It Take Sally? HSF.IF.2, HSA.CED.4 Algebra 1 Math Puzzles Let's Tile the Plane with Fractals! 8.G.9, HSF.IF.2 Algebra 1 Math Puzzles Where Does the Ball Fall? 7.G.1, 8.G.9, HSF.IF.2 8th Math Puzzles How Far Is Anna From Tobias? HSF.IF.2 Algebra 1 Vectors Polar Coordinates HSN.VM.3, HSF.TF.8 Pre-Calculus Vectors Cosine and Sine HSF.TF.2, HSF.TF.8 Trigonometry Vectors Vectors in Any Direction HSN.VM.1, HSN.VM.2, HSF.TF.2 Trigonometry Strategy Puzzles This Puzzle Has Two Solutions 8.EE.3, HSF.IF.2 8th Strategy Puzzles Is Statement #1 True or False? 8.EE.3, HSF.IF.2 Algebra 1 Strategy Puzzles Can You Do It Differently? 7.SP.8, 8.EE.8, HSF.IF.7 7th Strategy Puzzles Compare These Two Approximations of 2 Pi HSF.IF.8 Geometry Strategy Puzzles Is One Question Enough? 8.EE.3, HSF.IF.2 8th Strategy Puzzles Which Cards Do You Turn? 8.EE.3, HSF.IF.2 8th Strategy Puzzles What Happens to This Ball? 8.G.1, 8.G.3, HSF.IF.7 8th Strategy Puzzles It's a Gift Swap! 7.SP.8, HSF.IF.4 8th Proportional Reasoning Graphing from an Equation 8.EE.5, 8.F.4 8th Reasoning with Logic Union 8.EE.3, HSF.IF.2 Algebra 1 Reasoning with Logic Empty Sets 8.EE.3, HSF.IF.2 Algebra 1 Reasoning with Logic Limited Knowledge 8.SP.4, HSF.IF.1, HSF.IF.2 Algebra 1 Reasoning with Logic Subsets 8.EE.3, HSF.IF.2 Algebra 1 Reasoning with Logic Determining Existence 8.EE.3, HSF.IF.2 Algebra 1 Reasoning with Logic Arguments 8.G.5, HSG.MG.1, HSF.IF.1 Algebra 1 Reasoning with Logic Validity HSF.IF.1, HSF.F.3 Algebra 1 Reasoning with Logic False Premises 8.EE.3, HSF.IF.2 Algebra 1 Reasoning with Logic Soundness HSF.IF.1, HSF.IF.2 Algebra 1 Reasoning with Logic Diagramming Arguments 8.EE.3, HSF.IF.2 8th Reasoning with Logic Arguments with Negation HSF.IF.1, HSG.CO.2, HSA.CED.2 Algebra 1 Reasoning with Logic Handling Existence HSF.IF.1, HSA.CED.2 Algebra 1 Reasoning with Logic Arguing Existence HSF.IF.1, HSA.CED.2 Algebra 1 Reasoning with Logic Arguing Existence and Negation HSF.IF.1, HSA.CED.2, HSG.CO.2 Algebra 1 Reasoning with Logic Analyzing Arguments HSF.IF.1, HSA.CED.2, HSA.CED.4 Algebra 1 Regression Correlation Extremes HSF.IF.2 High School Regression Simple Linear Regression HSF.LE.1 High School Regression Calculating Error HSF.IF.2 High School Regression Regression and Prediction HSF.IF.7 High School Regression Nonlinear Relationships HSF.IF.7 High School Regression Optimize Coefficients HSF.IF.4 High School Regression Assess the Model HSF.IF.2 High School Regression Choose Variables HSF.IF.2 High School Regression Avoid Overfitting HSF.IF.2 High School Regression Use Categorical Variables HSF.IF.2 High School Regression Explore Interactions HSF.IF.7 High School Regression Battery Electric Vehicles HSF.IF.2 High School Regression Plug-in Hybrid Electric Vehicles HSF.IF.2 High School Regression Changing the Shape of the Data HSF.IF.7 High School Solving Equations Reasoning about Packing Boxes 8.EE.3, 8.EE.7, HSF.IF.7 8th 100 Days of Puzzles Count the Werewolves 8.EE.3, HSF.IF.2 8th 100 Days of Puzzles Where's the Gold? 8.SP.1, 8.SP.4, HSF.IF.4 8th 100 Days of Puzzles Stack of Squares HSF.IF.8, HSF.BF.1 Pre-Calculus 100 Days of Puzzles Two Wrongs Make a Right 8.EE.3, HSF.IF.2 Algebra 1 100 Days of Puzzles Werewolves Are Liars 8.EE.3, HSF.IF.2 8th 100 Days of Puzzles Rearrange the Dots Again 8.EE.2, HSF.BF.1, HSF.IF.8 Algebra 1 100 Days of Puzzles Go for the Gold 8.EE.3, HSF.IF.2 8th 100 Days of Puzzles Fill the Diagonal 8.G.9, HSF.BF.1, HSF.IF.8 Algebra 1 100 Days of Puzzles An Infinitely-Zig-Zagging Line 7.RP.2, 8.EE.7, HSF.IF.8 Algebra 1 100 Days of Puzzles Where Is the Gold? 8.EE.3, HSF.IF.2 8th 100 Days of Puzzles Should You Stop Rolling? 7.SP.5, 7.SP.6, HSF.IF.7 Algebra 1 100 Days of Puzzles Gears and Ants 7.RP.3, 8.G.9, HSF.IF.2 8th 100 Days of Puzzles Running Round in Circles 8.EE.5, HSF.IF.4 Algebra 1 100 Days of Puzzles Mind Your Ps and Q 7.EE.4, 8.EE.8, HSF.BF.1 8th 100 Days of Puzzles Misleading Marathoners 8.EE.3, 7.SP.8, HSF.IF.2 8th 100 Days of Puzzles Knight, Knave, or Joker? 8.EE.3, HSF.IF.2 8th 100 Days of Puzzles Humans and Werewolves 8.EE.3, HSF.IF.2 8th 100 Days of Puzzles What Makes Squares a Little Odd? HSF.BF.1, HSF.IF.8, HSF.LE.2 Algebra 1 100 Days of Puzzles What Color is Shinoy's Hat? 8.EE.3, HSF.IF.2 8th 100 Days of Puzzles Elephant Ears 8.G.4, HSF.IF.8, HSN.Q.2 8th Math History Mathematical Stories HSF.BF.2, HSF.IF.8, HSF.LE.1 Algebra 1 Group Theory Group Axioms HSN.CN.1, HSF.IF.1, HSF.F.3 Algebra 2 Group Theory Axioms and Basic Examples HSN.CN.1, HSF.IF.1, HSA.CED.2 Algebra 2 Group Theory Homomorphisms HSN.CN.1, HSA.CED.4, HSF.IF.1 Algebra 2 Group Theory Number Theory HSN.CN.1, HSF.IF.1 Algebra 2 Group Theory Isomorphism Theorems HSN.CN.1, HSF.IF.1, HSA.CED.2 Algebra 2 Group Theory The Symmetric Group HSF.IF.2 Algebra 2 Group Theory Signs of Permutations HSN.CN.1, HSF.IF.1, HSA.CED.2 Algebra 2 Group Theory Group Actions HSF.BF.1 Algebra 2 Group Theory Burnside's Lemma HSF.IF.2 Algebra 2 Group Theory Semidirect Products HSN.CN.1, HSF.IF.2 Algebra 2 Visual Algebra Building Patterns 6.EE.9, 7.RP.2, 8.F.4 6th Visual Algebra Pattern Rules 6.EE.9, 7.EE.4, 8.F.4 6th Visual Algebra Describing Linear Patterns 8.EE.5, 8.EE.6, HSF.BF.1 8th Visual Algebra Building Linear Expressions 8.EE.2, 8.EE.7, 8.F.1 8th Visual Algebra Linear Pattern Gallery HSF.IF.1, HSF.LE.1, HSA.CED.1 Algebra 1 Visual Algebra Comparing Constants 8.EE.3, 8.EE.7, HSF.IF.2 8th Visual Algebra Using a Table 6.EE.9, 7.RP.2, 8.F.5 7th Visual Algebra Comparing Expressions 8.EE.7, HSF.LE.1, HSA.CED.1 Algebra 1 Visual Algebra Quadratics with a Constant HSF.IF.2 Algebra 1 Visual Algebra Quadratics with a Linear Term HSF.IF.1, HSA.CED.2 Algebra 1 Visual Algebra Patterns with a Punch 8.EE.3, HSF.IF.2 Algebra 1 Visual Algebra Rectangle Patterns 8.EE.2, 8.F.1, 7.G.6 8th Visual Algebra A Complicated Area 8.EE.2, HSF.IF.1, HSA.CED.2 Algebra 1 Visual Algebra Equivalent Expressions 8.EE.7, HSF.BF.1, HSA.SSE.1 Algebra 1 Visual Algebra Shifting the Steps — Algebra 1 Visual Algebra A Different Kind of Growth 8.F.4, 8.F.5, HSF.IF.4 Algebra 1 Visual Algebra Quadratic Growth HSF.IF.2, HSF.BF.1, HSF.LE.1 Algebra 1 Visual Algebra A Triangular Pattern 8.EE.3, HSF.IF.2 8th Visual Algebra Describing Quadratic Growth HSF.IF.1, HSF.IF.2, HSA.CED.2 Algebra 1 Visual Algebra Linear or Quadratic 8.F.2, HSF.LE.1, HSF.IF.7 Algebra 1 Visual Algebra Comparing Kinds of Growth 8.EE.5, HSF.IF.3, HSA.CED.1 Algebra 1 Visual Algebra Quadratic Versus Linear HSF.IF.7, HSF.BF.1, HSF.LE.3 Algebra 1 Visual Algebra Growth Factors 8.EE.3, HSF.IF.2 Algebra 1 Visual Algebra Building Exponential Patterns 8.EE.3, HSF.IF.2 8th Visual Algebra Building Linear Patterns 8.EE.5, HSF.IF.1 Algebra 1 Visual Algebra ID'ing the Type of Pattern HSF.LE.1 Algebra 1 Visual Algebra Writing Exponential Expressions 8.EE.1, 8.F.2, HSF.IF.8 8th Visual Algebra Extending Periodic Patterns 8.F.4 8th Visual Algebra Periodic Pattern Gallery 7.EE.1, 8.F.5 7th Visual Algebra Periodic Pattern Gallery 2 6.EE.1, 7.NS.2, 8.F.5 7th Visual Algebra Adding Two Shapes 6.EE.2, 7.EE.4, 8.F.1 7th Visual Algebra Describing Linear Patterns 8.EE.5, 8.EE.6, HSF.BF.1 8th, Algebra 1 Visual Algebra Describing Quadratic Patterns HSF.IF.1, HSF.IF.3, HSA.CED.2 Algebra 1 Visual Algebra Describing Exponential Patterns 8.EE.1, HSF.IF.3, HSF.LE.1 Algebra 1 Visual Algebra Other Ways to See 8.EE.3, HSF.IF.2 Algebra 1 Geometry Defining Angles HSF.TF.1, HSF.TF.2 Trigonometry Geometry Trigonometric Ratios HSF.TF.1, HSF.TF.2, HSG.SRT.6 Trigonometry Geometry The Unit Circle HSF.TF.2, HSF.TF.3 Trigonometry Geometry Solving Right Triangles HSF.TF.3, HSF.TF.8, HSG.SRT.8 Trigonometry Geometry Solving for Angles HSF.TF.2, HSF.TF.3 Trigonometry Geometry Trigonometry Graphs HSF.IF.7, HSF.BF.3, HSF.TF.5 Trigonometry Geometry Other Trigonometric Graphs HSF.TF.5, HSF.TF.7, HSF.IF.7 Trigonometry Geometry Trigonometric Graph Problem Solving HSF.TF.5, HSF.BF.3, HSF.IF.7 Trigonometry Geometry Trigonometric Graph Symmetry HSF.IF.7, HSF.BF.3 Trigonometry Geometry Inverse Trigonometry HSF.TF.4, HSF.TF.7 Trigonometry Geometry Polar Coordinates HSF.IF.2, HSF.BF.1, HSF.BF.4 Pre-Calculus Geometry Roses, Cardioids and Limaçon HSF.IF.7, HSF.BF.3, HSF.TF.5 Pre-Calculus, Trigonometry Geometry Function Transformations HSF.IF.7, HSF.BF.3, HSF.TF.5 Pre-Calculus Geometry Reciprocal and Quotient Identities HSF.TF.8, HSF.TF.9 Trigonometry Geometry Triangle Identities HSF.TF.8, HSF.TF.9 Trigonometry Geometry Sum and Difference Identities HSF.TF.9 Trigonometry Geometry Double- and Half-Angle Identities HSF.TF.8 Trigonometry Functions Graphing Solutions 8.EE.5, 8.F.4, HSF.IF.7 Algebra 1 Functions Revealing Patterns 8.EE.5, 8.F.1, 8.F.4 8th Functions Choosing Values 8.EE.5, 8.EE.6, HSF.IF.7 Algebra 1 Functions Continuity HSF.IF.2 Algebra 1 Functions Using Continuity HSF.IF.5, HSF.BF.1, HSF.LE.1 Algebra 1 Functions Diminishing Returns HSF.IF.7, HSF.BF.1, HSF.LE.1 Algebra 1 Functions Intercepts 8.EE.5, HSF.IF.7, HSA.REI.11 Algebra 1 Functions Up and Down 8.EE.5, HSF.IF.1, HSF.IF.7 Algebra 1 Functions Minimums and Maximums HSF.IF.7, HSF.IF.8, HSF.BF.3 Algebra 1 Functions Bounded Graphs HSF.IF.7, HSF.BF.3, HSG.GPE.1 Algebra 1 Functions Graphs with Gaps 8.F.1, 8.F.2, HSF.IF.7 Algebra 1 Functions Apply: Training an AI HSF.IF.7, HSF.IF.8 Algebra 1 Functions Rate of Change 8.EE.5, 8.F.2, 8.F.4 8th Functions Slope and Parameters 8.EE.5, 8.EE.6, HSF.IF.6 Algebra 1 Functions Apply: Rules of Thumb 8.EE.5, 8.F.3, HSF.IF.7 8th Functions What is a Function? 8.F.1, 8.F.2 8th Functions Function Tables 8.F.1 8th Functions Function Graphs HSF.IF.1, HSF.IF.2 Algebra 1 Functions Domain HSF.IF.1, HSF.IF.2 Algebra 1 Functions Range HSF.IF.1, HSF.IF.2 Algebra 1 Functions Interval Notation HSF.IF.1, HSF.IF.2, HSA.CED.2 Algebra 1 Functions Multiple Intervals HSF.IF.2, HSA.CED.1, HSA.CED.3 Algebra 1 Functions Vertical Shift — Algebra 1 Functions Horizontal Shift — Algebra 1 Functions Vertical Stretch and Shrink HSF.BF.3, HSF.IF.7, HSF.IF.9 Algebra 1 Functions Horizontal Stretch and Shrink — Algebra 1 Functions Vertical Reflections — Algebra 1 Functions Horizontal Reflections — Algebra 1 Functions Transforming Parabolas HSF.IF.7, HSF.BF.3, HSA.CED.2 Algebra 1 Functions Points on Parabolas HSF.IF.4, HSF.IF.7, HSF.IF.8 Algebra 1 Functions Optimizing Revenue HSF.IF.4, HSF.IF.7, HSA.CED.1 Algebra 1 Functions Solving Quadratics HSF.IF.2, HSA.CED.2 Algebra 1 Functions Factored Form HSF.IF.8, HSF.IF.7, HSA.SSE.3 Algebra 1 Functions Factoring a Quadratic HSA.SSE.3, HSF.IF.8 Algebra 1 Functions Difference of Squares HSF.IF.8 Algebra 1 Functions Perfect Squares HSF.IF.8, HSF.BF.1, HSA.SSE.2 Algebra 1 Functions General Solution HSF.IF.8, HSA.REI.4 Algebra 1 Functions Solving with the Quadratic Formula HSF.IF.7, HSA.REI.4 Algebra 1 Functions Counting Zeros HSF.IF.7, HSF.IF.8, HSA.REI.4 Algebra 1 Exploring Data Visually Percentiles HSF.IF.2 High School Exploring Data Visually Comparing Boxplots HSF.IF.4 High School Exploring Data Visually Seasonal Variation HSF.IF.4 High School Exploring Data Visually Line Graphs HSF.IF.4 High School Exploring Data Visually Trends HSF.IF.4 High School Exploring Data Visually Comparing Trends HSF.IF.2 High School Exploring Data Visually Comparing on Log Scales HSF.IF.2 High School Exploring Data Visually Data Tables HSF.IF.2 High School Exploring Data Visually Drawing Conclusions HSF.IF.2 High School Exploring Data Visually Transforming Data HSF.IF.2 High School Exploring Data Visually Counting Cafes HSF.IF.2 High School Exploring Data Visually Best Property Type HSF.IF.1 High School Exploring Data Visually Rental Rate Recommendation HSF.IF.2 High School Exploring Data Visually Best Neighborhood HSF.IF.2 High School Exploring Data Visually Peak Seasons HSF.IF.2 High School Exploring Data Visually Ratings HSF.IF.1 High School Exploring Data Visually Guest Reviews HSF.IF.2 High School Infinity What's Infinite? 8.EE.3, HSF.IF.2 Algebra 1 Infinity How to Count to Infinity HSF.IF.2 Algebra 2 Infinity Visualizing Infinity HSF.IF.2, HSF.BF.1, HSF.LE.1 Calculus Infinity Cardinality HSF.IF.2 Algebra 2 Infinity Countably Infinite HSF.IF.1, HSF.IF.2, HSF.BF.1 Algebra 2 Infinity Hilbert's Infinite Hotel HSF.IF.2 Algebra 2 Infinity Subsets HSF.IF.2 Algebra 2 Infinity Cantor's Theorem HSF.IF.2 Calculus Infinity Infinite Areas HSF.IF.2 Calculus Infinity Infinite Sums HSF.IF.2 Calculus Infinity The Koch Snowflake HSF.IF.8, HSF.BF.2, HSF.LE.1 Pre-Calculus Infinity More Fractals HSF.IF.7, HSF.BF.1, HSF.BF.2 Pre-Calculus Geometric Thinking Difference of Squares 8.EE.3, HSF.IF.2 Algebra 1 Geometric Thinking The Quadratic Formula — Algebra 1 Geometric Thinking Strategic Geometry 8.G.2, 7.G.1 8th Geometric Thinking Curry's Paradox HSF.BF.1, HSG.GPE.5, HSN.Q.1 Algebra 2 Geometric Thinking Infinite Arithmetic HSF.IF.8, HSF.BF.1, HSF.BF.2 Algebra 2 Geometric Thinking Counting All Possible Solutions 8.EE.3, HSF.IF.1 Algebra 1 Geometric Thinking Fisk's Coloring Proof HSG.CO.2, HSF.IF.1 Geometry Predicting with Probability Accumulating Probability HSF.IF.2 High School Predicting with Probability Comparing Distributions HSF.IF.7 High School Predicting with Probability Spotify's Top 100 HSF.IF.2 High School Predicting with Probability Matching a Single Feature HSF.IF.2 High School Predicting with Probability The Law of Total Probability HSF.IF.2 High School Predicting with Probability Boosting Performance HSF.IF.2 High School Contest Math Algebra 8.EE.3, 8.EE.5, HSF.IF.2 Algebra 1 Contest Math Sequences and Series HSF.BF.1, HSF.IF.3, HSA.SSE.1 Algebra 1 Contest Math Equations Practice Quiz 2 8.EE.7, 7.RP.3, HSF.IF.2 Algebra 1 Contest Math Scaling 7.G.1, 8.G.4, HSF.BF.1 8th Contest Math Coordinate Geometry HSG.GPE.4, HSG.GPE.5, HSG.GPE.6 Algebra 1 Contest Math Symmetry 8.G.1, HSF.BF.1, HSG.CO.2 Algebra 1 Contest Math Choosing 7.SP.8, HSF.IF.7 Algebra 1 Contest Math Calculations 7.NS.3, 8.EE.7, HSF.BF.2 Algebra 1 Contest Math Efficiency Practice Quiz 2 8.EE.3, HSF.IF.2 Algebra 1 Contest Math Factorials HSF.IF.2, HSA.CED.2, HSN.CN.1 Algebra 2 Contest Math Key Strategies HSF.IF.1, HSF.IF.2, HSA.CED.2 Algebra 2 Contest Math Autobiographical Numbers HSF.IF.2 Algebra 1 Contest Math Quadratics HSN.CN.1, HSF.IF.7, HSA.REI.4 Algebra 2 Contest Math Exponents 8.EE.1, HSF.IF.8, HSN.RN.2 Algebra 1 Contest Math Special Functions HSF.IF.7, HSF.BF.1, HSF.BF.2 Algebra 2 Contest Math Logarithms HSF.IF.7, HSF.BF.5, HSA.REI.11 Algebra 2 Contest Math AM-GM HSF.IF.2, HSA.CED.1, HSA.CED.4 Algebra 2 Contest Math Cauchy-Schwarz HSN.VM.8, HSF.IF.8, HSG.GPE.7 Algebra 2 Contest Math Roots HSF.IF.7, HSA.APR.3, HSA.REI.11 Algebra 2 Contest Math Equations HSA.REI.4, HSF.IF.7, HSF.BF.1 Algebra 2 Contest Math Transformations HSF.IF.2, HSF.BF.3, HSA.REI.4 Algebra 2 Contest Math Arithmetic Sequences HSF.BF.1, HSF.BF.2, HSF.IF.3 Algebra 1 Contest Math Geometric Sequences HSF.IF.3, HSF.BF.1, HSF.LE.2 Algebra 2 Contest Math Telescoping Series HSF.BF.1, HSF.IF.8, HSF.APR.6 Calculus Contest Math Fractions HSN.CN.1, HSF.IF.2 Algebra 2 Contest Math Units Digit HSN.CN.1, HSA.CED.4, HSF.IF.2 Algebra 2 Contest Math Euler's Theorem HSF.IF.2 Algebra 2 Contest Math Trigonometric Functions HSF.TF.1, HSF.TF.2, HSF.TF.3 Trigonometry Contest Math Trigonometric Identities HSF.TF.8, HSF.TF.9 Trigonometry Contest Math Complementary Counting HSF.IF.2, HSS.CP.1, HSS.CP.9, S.CP.1, S.CP.9 Algebra 2 Contest Math Principle of Inclusion-Exclusion HSF.IF.2 Algebra 2 Contest Math Balls and Urns HSF.IF.2, HSA.CED.4 Algebra 2 Contest Math Recursion HSF.IF.2 Algebra 2 Contest Math Events with States HSF.IF.7, HSF.BF.1, HSS.MD.6, S.MD.6 Statistics Contest Math Casework HSF.IF.2, HSA.CED.1, HSG.CO.1 Algebra 2 Contest Math Extreme Cases and Invariants HSF.IF.7, HSA.CED.1, HSA.CED.3 Algebra 2 Contest Math Generalization HSF.IF.2, HSF.BF.1, HSA.SSE.1 Algebra 2 Contest Math Using Symmetry HSF.IF.2, HSF.BF.1, HSG.CO.9 Algebra 2 Contest Math Eliminating Choices HSA.CED.2, HSA.REI.2, HSF.IF.7 Algebra 2 Percentages Exponential Growth 8.EE.1, HSF.LE.1, HSF.LE.5 Algebra 1 Probability in Data Simulating Outcomes HSF.IF.7 High School Probability in Data Tuning Models HSF.IF.2 High School Probability in Data Influence Probabilities HSF.IF.2 High School Number Theory Secret Messages 8.EE.3, 8.EE.4, HSF.IF.2 8th Number Theory Billiard Tables Revisited (I) 8.EE.3, HSF.IF.2 Algebra 1 Number Theory Modular Congruence HSN.CN.1, HSF.IF.2 Algebra 1 Number Theory Star Drawing (I) 7.G.2, 8.G.1, HSF.BF.1 8th Number Theory Star Drawing (II) 8.EE.3, HSF.IF.2 Algebra 1 Number Theory Die-Hard Decanting (II) 7.NS.1, 8.EE.3, HSF.IF.2 Algebra 1 Number Theory Multiplicative Cycles HSN.CN.1, HSF.IF.1 Algebra 2 Number Theory Last Digits Revisited HSN.CN.1, HSF.IF.2 Algebra 2 Number Theory Counting to Infinity HSF.IF.2 Algebra 1 Number Theory Multiple Infinities HSN.CN.1, HSF.IF.1 Pre-Calculus Number Theory Hilbert's Hotel HSF.IF.2 Algebra 2 Number Theory Infinitely Large HSF.IF.2, HSF.IF.7, HSF.BF.1 Algebra 2 Number Theory Exploding Dots 8.EE.3, 8.NS.1, HSF.BF.1 8th Number Theory Cryptogram Addition Puzzles 7.NS.1, 8.EE.3, HSF.IF.2 Algebra 1 Number Theory Factorial Refresher HSF.IF.2, HSA.SSE.1, HSF.BF.1 Algebra 1 Number Theory Hexadecimal Divisibility Shortcuts (I) 8.EE.1, HSN.CN.1, HSF.IF.2 Algebra 1 Logic More — 7th Logic Fewer 8.EE.3, HSF.IF.2 8th Logic Mixing Quantifiers 8.EE.3, HSF.IF.2 Algebra 1 Logic Minimizing 7.RP.3, 8.EE.3, HSF.IF.1 7th, 8th Logic Maximizing 8.EE.3, HSF.IF.2 8th Clustering & Classification Forming Clusters HSF.IF.1 High School Clustering & Classification Interpreting Clusters HSF.IF.1 High School Clustering & Classification Min-Max Scaling HSF.IF.1 High School Clustering & Classification Misclassified Data HSF.IF.1 High School Clustering & Classification Probabilities From the Sigmoid HSF.IF.1 High School Clustering & Classification Image Classifier Optimization HSF.IF.1 High School Truth and Lies Cascading Lights 8.EE.3, HSF.IF.2 8th Truth and Lies Reasoning with Unknowns 8.EE.3, 8.EE.5, HSF.IF.2 Algebra 1 Truth and Lies Opening Safes 8.EE.3, 7.RP.3, HSF.IF.2 8th Truth and Lies Opening Complex Safes 8.EE.3, HSF.IF.2 Algebra 1 Truth and Lies Androids 8.EE.3, HSF.IF.2 8th Truth and Lies Extrapolate 8.EE.3, HSF.IF.2 8th Truth and Lies Jokers 8.EE.3, HSF.IF.2 8th Truth and Lies Rebels 8.EE.3, HSF.IF.2 8th Truth and Lies Guessing Cards 8.EE.3, 8.EE.5, HSF.IF.2 8th Calculus Rate Of Change HSF.IF.2, HSF.IF.6, HSF.IF.7 Calculus Calculus Tangents HSF.IF.2, HSF.IF.6, HSF.BF.1 Calculus Calculus Critical Points HSF.IF.7, HSF.IF.8, HSF.BF.1 Calculus Calculus Apply: Drop Testing HSF.IF.2, HSF.IF.6, HSF.BF.1 Calculus Calculus Identifying Extremes HSF.IF.4, HSF.IF.7, HSF.BF.1 Calculus Calculus Higher-Order Derivatives HSF.IF.7, HSF.IF.8, HSF.IF.9 Calculus Calculus Apply: From Distance To Jerk HSF.IF.2, HSF.IF.4, HSF.BF.1 Calculus Calculus Products and Powers HSF.IF.1, HSF.IF.2, HSF.F.3 Calculus Calculus Chain Rule HSF.IF.2, HSF.F.3, HSF.IF.7 Calculus Calculus Quotients HSF.IF.2, HSF.IF.7, HSF.BF.1 Calculus Calculus Apply: Optimization HSF.IF.7, HSF.IF.8, HSF.BF.1 Calculus Calculus The Area Problem HSF.IF.7, HSF.IF.8, HSF.BF.2 Calculus Calculus The Integral HSF.IF.2, HSF.IF.4, HSF.BF.1 Calculus Calculus The Fundamental Theorem HSF.IF.2, HSF.F.3, HSF.IF.1 Calculus Calculus Antiderivatives HSF.IF.2 Calculus Calculus Apply: Falling objects HSF.IF.2, HSA.CED.2, HSF.F.3 Calculus Calculus Volume With Integrals HSF.IF.7, HSF.BF.1, HSF.BF.2 Calculus Calculus Surface Area via Integrals HSF.IF.7, HSF.BF.1, HSF.BF.2 Calculus Calculus Apply: Gabriel's Horn HSF.IF.7, HSF.BF.1, HSF.BF.4 Calculus Calculus Sequences and Limits HSF.IF.8, HSF.BF.1, HSF.LE.1 Calculus Calculus Apply: Carbon Dating HSF.IF.8, HSF.LE.1, HSF.LE.5 Algebra 1 Calculus What is an Infinite Sum? HSF.IF.8, HSF.BF.2, HSF.LE.1 Calculus Calculus Geometric Sums HSF.IF.2, HSF.BF.1, HSF.LE.4 Pre-Calculus Calculus Harmonic Sum HSF.IF.7, HSF.BF.1, HSA.REI.11 Calculus Calculus Apply: The Tower of Lire HSF.IF.2, HSA.CED.4 Algebra 2 Calculus Quadratic Approximations HSF.IF.7, HSF.BF.1, HSF.BF.2 Calculus Calculus Apply: The Spring Equation HSF.IF.8, HSF.BF.1, HSF.BF.2 Calculus Calculus Function Limits HSF.IF.1, HSF.IF.2, HSF.IF.7 Calculus Calculus Limit Theorems HSF.IF.2 Calculus Calculus Smooth Functions HSF.IF.7, HSF.IF.8 Calculus Calculus Intermediate Value Theorem HSF.IF.2, HSF.IF.7, HSA.REI.11 Calculus Calculus Extreme Value Theorem HSF.IF.7, HSF.IF.8 Calculus Calculus Sine and Cosine HSF.TF.2, HSF.TF.3, HSF.IF.7 Trigonometry Calculus The Exponential Function HSF.IF.2, HSF.BF.1, HSF.LE.4 Calculus Calculus Taylor Series HSF.IF.2 Calculus Calculus Geometric Series Revisited HSF.IF.2, HSF.IF.3 Calculus Calculus Apply: Normal Curves HSF.IF.7, HSF.BF.1, HSF.BF.2 Calculus Bayesian Probability What's the Fastest Language? HSF.IF.2 Statistics Bayesian Probability Information Decreases Uncertainty 8.SP.4, HSF.IF.7, HSF.LE.1 Statistics Bayesian Probability Entropy HSF.IF.2 Statistics Bayesian Probability Compression HSF.IF.2 Statistics Bayesian Probability A Trit of Information HSF.IF.2 Statistics Bayesian Probability Bayes' Rule HSF.IF.2, HSS.IC.1, S.IC.1 Statistics Group Theory Group Axioms HSN.CN.1, HSF.IF.1, HSF.F.3 Algebra 2 Group Theory Axioms and Basic Examples HSN.CN.1, HSF.IF.1, HSA.CED.2 Algebra 2 Group Theory Homomorphisms HSN.CN.1, HSA.CED.4, HSF.IF.1 Algebra 2 Group Theory Number Theory HSN.CN.1, HSF.IF.1 Algebra 2 Group Theory Isomorphism Theorems HSN.CN.1, HSF.IF.1, HSA.CED.2 Algebra 2 Group Theory The Symmetric Group HSF.IF.2 Algebra 2 Group Theory Signs of Permutations HSN.CN.1, HSF.IF.1, HSA.CED.2 Algebra 2 Group Theory Group Actions HSF.BF.1 Algebra 2 Group Theory Burnside's Lemma HSF.IF.2 Algebra 2 Group Theory Semidirect Products HSN.CN.1, HSF.IF.2 Algebra 2 Math History Mathematical Stories HSF.BF.2, HSF.IF.8, HSF.LE.1 Algebra 1 Statistics & Probability (High School) Course Lesson Standards Grade Levels or Subjects Math Puzzles How Likely Is a Short Run — Statistics Math Puzzles What Can You Expect From Repeated Sampling? — Statistics Math Puzzles Don't Double-Count Your Wins! HSS.CP.9, S.CP.9 Statistics Reasoning with Logic Counting in Sets 7.SP.8, HSS.CP.1, HSS.CP.7, S.CP.1, S.CP.7 7th, Algebra 1 Reasoning with Logic Complement HSS.CP.1, HSS.CP.4, S.CP.1, S.CP.4 Algebra 1 Reasoning with Logic Intersection 7.SP.8, 8.SP.1, HSS.CP.1, S.CP.1 7th, Algebra 1 Reasoning with Logic Set Operations and Counting HSS.CP.1, HSS.CP.7, S.CP.1, S.CP.7 Algebra 1 Reasoning with Logic Nonempty Sets 7.SP.8, HSS.CP.1, HSS.CP.4, S.CP.1, S.CP.4 Algebra 1 Reasoning with Logic Nested Subsets 7.SP.8, HSS.CP.1, HSS.CP.3, S.CP.1, S.CP.3 Algebra 1 Reasoning with Logic Disjoint 8.SP.1, HSS.ID.1, S.ID.1 Algebra 1 Regression Correlation — High School Regression Simpson's Paradox — High School Regression Use Multiple Variables — High School Regression Interpret the Model — High School Regression Transform Variables HSS.ID.6, S.ID.6 High School Regression EV Trends HSS.ID.6, S.ID.6 High School Regression Exploring EV Correlations HSS.ID.8, S.ID.8 High School 100 Days of Puzzles In Order or All at Once? 7.SP.8, HSS.CP.9, S.CP.9 7th, Statistics 100 Days of Puzzles Advances in Wolf Fence Design 7.SP.8, HSS.MD.7, S.MD.7 Statistics 100 Days of Puzzles Sock Hop 7.SP.8, HSS.CP.9, S.CP.9 Algebra 1 100 Days of Puzzles The Brilliant Hotel 7.SP.8, HSS.CP.9, S.CP.9 Algebra 1 100 Days of Puzzles How Much Will You Win? — Statistics Predicting with Probability Visualizing Probabilities — High School Predicting with Probability Probabilities with Conditions HSS.CP.3, S.CP.3 High School Predicting with Probability Joint Probabilities HSS.CP.6, S.CP.6 High School Predicting with Probability Bayes' Theorem HSS.CP.6, S.CP.6 High School Predicting with Probability Using Conditional Probability HSS.CP.6, S.CP.6 High School Contest Math Combinatorics HSS.CP.9, HSS.CP.1, HSS.MD.7, S.CP.9, S.CP.1, S.MD.7 Algebra 2 Contest Math Determine the Set 7.SP.4, 8.SP.1, HSS.ID.1, S.ID.1 Algebra 1 Contest Math Venn Diagrams 7.SP.8, HSS.CP.7, S.CP.7 Algebra 1 Contest Math Over-Counting 7.SP.8, 8.SP.1, HSS.CP.9, S.CP.9 Algebra 1 Contest Math Counting Practice Quiz 2 HSS.CP.9, HSS.CP.2, HSS.CP.3, S.CP.9, S.CP.2, S.CP.3 Algebra 2 Contest Math Constructive Counting HSS.CP.9, HSS.CP.5, S.CP.9, S.CP.5 Algebra 2 Contest Math Complementary Counting HSF.IF.2, HSS.CP.1, HSS.CP.9, S.CP.1, S.CP.9 Algebra 2 Contest Math Probability 7.SP.5, 7.SP.7, HSS.CP.1, S.CP.1 Statistics Contest Math Conditional Probability HSS.CP.3, HSS.CP.4, HSS.CP.5, S.CP.3, S.CP.4, S.CP.5 Statistics Contest Math Expected Value — Statistics Contest Math Linearity of Expectation HSS.MD.2, HSS.MD.3, S.MD.2, S.MD.3 Statistics Contest Math Events with States HSF.IF.7, HSF.BF.1, HSS.MD.6, S.MD.6 Statistics Probability in Data The Past And The Future HSS.IC.1, S.IC.1 High School Probability in Data Mutually Exclusive Events HSS.CP.7, S.CP.7 High School Probability in Data Combining Probabilities HSS.CP.7, S.CP.7 High School Probability in Data Conditional Probability HSS.CP.3, S.CP.3 High School Probability in Data Total Probability HSS.CP.5, S.CP.5 High School Probability in Data Updating Predictions HSS.CP.5, S.CP.5 High School Probability in Data Dependence and Independence HSS.CP.2, S.CP.2 High School Probability in Data Building Models HSS.CP.2, S.CP.2 High School Probability in Data Updating the Influence Probabilities HSS.CP.5, S.CP.5 High School Probability in Data Twitter Bots HSS.CP.5, S.CP.5 High School Probability in Data Using Tweet Features HSS.CP.5, S.CP.5 High School Probability in Data A Simple Classifier HSS.CP.5, S.CP.5 High School Bayesian Probability Bayes' Rule HSF.IF.2, HSS.IC.1, S.IC.1 Statistics Bayesian Probability The Monty Hall Problem HSS.CP.6, HSS.CP.7, S.CP.6, S.CP.7 Statistics Bayesian Probability The Problem with P-values — Statistics Bayesian Probability The Cause of Bayes' Rule HSS.CP.5, HSS.CP.6, HSS.IC.1, S.CP.5, S.CP.6, S.IC.1 Statistics Probability and Chance Venn Diagrams 7.SP.8, HSS.CP.1, HSS.CP.2, S.CP.1, S.CP.2 7th Probability and Chance Calculating OR 7.SP.8, HSS.CP.7, S.CP.7 Statistics Probability and Chance Conditional Probability HSS.CP.3, HSS.CP.4, HSS.CP.5, S.CP.3, S.CP.4, S.CP.5 Statistics Probability and Chance Two Way Dependence HSS.CP.3, HSS.CP.5, S.CP.3, S.CP.5 Statistics Probability and Chance Multiplying with Dependence HSS.CP.1, HSS.CP.2, HSS.CP.3, S.CP.1, S.CP.2, S.CP.3 Statistics Math Puzzles This Is Why You Test Twice. S.CP.3, S.CP.5, S.IC.6 Statistics Strategy Puzzles How Worried Should You Be? S.CP.5, S.CP.6 Statistics Science and Technology Course Lesson Standards Grade Levels or Subjects Circuits Current Loops — Middle School Circuits Short Circuits — Middle School Circuits Choosing Bulbs HS-PS2-6 High School Circuits Splitting Current HS-PS3-5 High School Circuits The Path of Least Resistance HS-PS3-5 High School Circuits Bulb Brightness — High School Circuits Changing Current HS-PS3-5 High School Circuits Different Bulbs — High School Circuits Conserving Current HS-PS3-5 High School Circuits Voltage — High School Circuits Measuring Voltage — High School Circuits Voltage Around Paths — High School Circuits Branched Voltage — High School Circuits Power and Brightness HS-PS3-3 High School Circuits Deducing Power — High School Circuits Resistance — High School Circuits Solving for Resistance HS-PS3-5 High School Circuits Predicting Current — High School Circuits Controlling Current — High School Circuits Combining Resistance — High School Circuits Dividing Resistance HS-PS3-2 High School Circuits Total Resistance HS-PS3-5 High School Circuits Voltage and Resistance — High School Circuits Resistance and Brightness HS-PS3-1 High School Circuits Relative Resistance — High School Circuits Sharing Amps and Volts — High School Circuits Parallel Volt Shares — High School Circuits Power and Bulb Pairs — High School Circuits Subtracting Volts — High School Circuits Comparing Points HS-PS3-5 High School Circuits Bulbs with Voltage — High School Classical Mechanics Formula One Racing — High School Classical Mechanics Cellular Automaton — High School Classical Mechanics Kinematics in the City — High School Classical Mechanics The Kinematic Equations — High School Classical Mechanics Angular Kinematics — High School Classical Mechanics Projectile Motion — High School Classical Mechanics Gene Expression Problem — High School Classical Mechanics What are Forces? HS-PS2-1 High School Classical Mechanics The Three Laws of Motion HS-PS2-1 High School Classical Mechanics Weight and Scales — High School Classical Mechanics Pressure — High School Classical Mechanics Buoyancy — High School Classical Mechanics Drag Forces — High School Classical Mechanics Banked Curve Problem HS-PS2-1 High School Classical Mechanics Exploring Energy — High School Classical Mechanics Work-Energy Theorem — High School Classical Mechanics Conservation of Energy — High School Classical Mechanics Power — High School Classical Mechanics Elastic Energy — High School Classical Mechanics Potential Energy — High School Classical Mechanics Drone Battery Problem HS-PS3-3 High School Classical Mechanics Momentum in the Office — High School Classical Mechanics Impulse-Momentum Theorem — High School Classical Mechanics Rocket Equation — High School Classical Mechanics Ideal Gas Law — High School Classical Mechanics Photon Problem — High School Classical Mechanics Relativity on the Train — High School Classical Mechanics Center-of-Mass Frame — High School Classical Mechanics Rotating Frames — High School Classical Mechanics Einstein's Theory of Relativity — High School Classical Mechanics Tower of Cards — High School Classical Mechanics Irregular Towers — High School Classical Mechanics Static Equilibrium — High School Classical Mechanics Rope Statics — High School Classical Mechanics Body Statics — High School Classical Mechanics Plank Statics — High School Classical Mechanics Energy Landscapes — High School Classical Mechanics Elastic Forces — High School Classical Mechanics Simple Harmonic Oscillators — High School Classical Mechanics Pendulums — High School Classical Mechanics Large-Angle Pendulum — High School Classical Mechanics Vibrations in Molecules — High School Classical Mechanics Coupled Oscillations — High School Classical Mechanics Strings — High School Classical Mechanics Loaded Strings — High School Classical Mechanics Firefly Problem — High School Classical Mechanics Natural Units — High School Classical Mechanics Lagrangian Mechanics — High School Classical Mechanics Formula One Racing — High School Classical Mechanics Cellular Automaton — High School Classical Mechanics Kinematics in the City — High School Classical Mechanics The Kinematic Equations — High School Classical Mechanics Angular Kinematics — High School Classical Mechanics Projectile Motion — High School Classical Mechanics Gene Expression Problem — High School Classical Mechanics What are Forces? HS-PS2-1 High School Classical Mechanics The Three Laws of Motion HS-PS2-1 High School Classical Mechanics Weight and Scales — High School Classical Mechanics Pressure — High School Classical Mechanics Buoyancy — High School Classical Mechanics Drag Forces — High School Classical Mechanics Banked Curve Problem HS-PS2-1 High School Classical Mechanics Exploring Energy — High School Classical Mechanics Work-Energy Theorem — High School Classical Mechanics Conservation of Energy — High School Classical Mechanics Power — High School Classical Mechanics Elastic Energy — High School Classical Mechanics Potential Energy — High School Classical Mechanics Drone Battery Problem HS-PS3-3 High School Classical Mechanics Momentum in the Office — High School Classical Mechanics Impulse-Momentum Theorem — High School Classical Mechanics Rocket Equation — High School Classical Mechanics Ideal Gas Law — High School Classical Mechanics Photon Problem — High School Classical Mechanics Relativity on the Train — High School Classical Mechanics Center-of-Mass Frame — High School Classical Mechanics Rotating Frames — High School Classical Mechanics Einstein's Theory of Relativity — High School Classical Mechanics Tower of Cards — High School Classical Mechanics Irregular Towers — High School Classical Mechanics Static Equilibrium — High School Classical Mechanics Rope Statics — High School Classical Mechanics Body Statics — High School Classical Mechanics Plank Statics — High School Classical Mechanics Energy Landscapes — High School Classical Mechanics Elastic Forces — High School Classical Mechanics Simple Harmonic Oscillators — High School Classical Mechanics Pendulums — High School Classical Mechanics Large-Angle Pendulum — High School Classical Mechanics Vibrations in Molecules — High School Classical Mechanics Coupled Oscillations — High School Classical Mechanics Strings — High School Classical Mechanics Loaded Strings — High School Classical Mechanics Firefly Problem — High School Classical Mechanics Natural Units — High School Classical Mechanics Lagrangian Mechanics — High School Kurzgesagt – Beyond the Nutshell Terraforming Mars HS-ESS1-4 High School Kurzgesagt – Beyond the Nutshell Black Holes — High School Kurzgesagt – Beyond the Nutshell Limits of Humanity — High School Kurzgesagt – Beyond the Nutshell Nearby Supernova — High School Kurzgesagt – Beyond the Nutshell Climate Change HS-ESS3-5 High School Kurzgesagt – Beyond the Nutshell Supervolcanoes HS-ESS2-1 High School Kurzgesagt – Beyond the Nutshell Size of Life — High School Kurzgesagt – Beyond the Nutshell Rabies — High School Physics of the Everyday Toilets — High School Physics of the Everyday Water Towers HS-PS2-6 High School Physics of the Everyday Refrigerators — High School Physics of the Everyday Helicopter Toy HS-PS2-1 High School Physics of the Everyday Water Contamination — High School Physics of the Everyday Axe Throwing — High School Physics of the Everyday BMX HS-PS2-1 High School Physics of the Everyday Motocross — High School Physics of the Everyday Tug of War — High School Physics of the Everyday Skiing — High School Physics of the Everyday Gymnastics: Spinning — High School Physics of the Everyday Baseball: Hitting & Catching — High School Physics of the Everyday Baseball: Throwing & Running — High School Physics of the Everyday Fossil Fuels HS-PS3-1 High School Physics of the Everyday Mammalian Caloric Intake — High School Physics of the Everyday Solar Power — High School Physics of the Everyday Nuclear Energy — High School Physics of the Everyday Dyson Sphere — High School Physics of the Everyday Seasons — Middle School Physics of the Everyday The Greenhouse Effect — High School Physics of the Everyday Weather Systems HS-ESS2-4 High School Physics of the Everyday The Water Cycle — Middle School Physics of the Everyday Hurricanes — High School Physics of the Everyday Tides — High School Physics of the Everyday Fluoridated Water HS-PS1-7 High School Physics of the Everyday Airplanes — High School Physics of the Everyday Traffic HS-PS2-6 High School Physics of the Everyday Beam and Truss Bridges — High School Physics of the Everyday Arch and Suspension Bridges HS-PS2-6 High School Physics of the Everyday Skyscrapers — High School Physics of the Everyday Queen of the Monsters — High School Physics of the Everyday Toilets — High School Physics of the Everyday Water Towers HS-PS2-6 High School Physics of the Everyday Refrigerators — High School Physics of the Everyday Helicopter Toy HS-PS2-1 High School Physics of the Everyday Water Contamination — High School Physics of the Everyday Axe Throwing — High School Physics of the Everyday BMX HS-PS2-1 High School Physics of the Everyday Motocross — High School Physics of the Everyday Tug of War — High School Physics of the Everyday Skiing — High School Physics of the Everyday Gymnastics: Spinning — High School Physics of the Everyday Baseball: Hitting & Catching — High School Physics of the Everyday Baseball: Throwing & Running — High School Physics of the Everyday Fossil Fuels HS-PS3-1 High School Physics of the Everyday Mammalian Caloric Intake — High School Physics of the Everyday Solar Power — High School Physics of the Everyday Nuclear Energy — High School Physics of the Everyday Dyson Sphere — High School Physics of the Everyday Seasons — Middle School Physics of the Everyday The Greenhouse Effect — High School Physics of the Everyday Weather Systems HS-ESS2-4 High School Physics of the Everyday The Water Cycle — Middle School Physics of the Everyday Hurricanes — High School Physics of the Everyday Tides — High School Physics of the Everyday Fluoridated Water HS-PS1-7 High School Physics of the Everyday Airplanes — High School Physics of the Everyday Traffic HS-PS2-6 High School Physics of the Everyday Beam and Truss Bridges — High School Physics of the Everyday Arch and Suspension Bridges HS-PS2-6 High School Physics of the Everyday Skyscrapers — High School Physics of the Everyday Queen of the Monsters — High School Quantum Computing The Nature of Computation — Intermediate Quantum Computing Computing with Circuits — Intermediate Quantum Computing Quantum Bits — Intermediate Quantum Computing A Black Box Puzzle — Intermediate Quantum Computing Information and Bits — Intermediate Quantum Computing Qubit Playground — Intermediate Quantum Computing Gates Galore — Intermediate Quantum Computing Superpositions — Intermediate Quantum Computing The Bloch Sphere — Intermediate Quantum Computing A Universal Gate Set — Advanced Quantum Computing Entanglement — Advanced Quantum Computing Unitary Transformations (Optional) — Advanced Quantum Computing Entanglement Circuit — Intermediate Quantum Computing Quantum Cryptography — Advanced Quantum Computing Quantum Communication — Advanced Quantum Computing Superdense Coding — Advanced Quantum Computing Quantum Teleportation — Advanced Quantum Computing Problem Complexity — Advanced Quantum Computing Quantum Parallelism — Advanced Quantum Computing The Problem with Oracles — Advanced Quantum Computing Bigger Problems — Advanced Quantum Computing The Promised Bits — Advanced Quantum Computing Counterfeit Coins Redux — Advanced Quantum Computing Inspired by Nature — Advanced Quantum Computing Spin Systems — Intermediate Quantum Computing The Knapsack Problem — Advanced Science Puzzles Who Gets Their Tea Cooler? HS-PS3-4 High School Science Puzzles Redesign This Gravity Ring — High School Science Puzzles Which One's the Heaviest? — High School Science Puzzles What Happens to the Gaps? — Middle School Science Puzzles Share the Volts — High School Science Puzzles Where Is the Reaction Force the Greatest? — High School Science Puzzles How Do the Trade Winds Flow? — High School Science Puzzles Will It Sink or Float? — Middle School Science Puzzles What Happens on the Right? — Middle School Science Puzzles Let's Lift an Elephant — High School Science Puzzles Brilliantiums Are Lovely Flowers HS-LS3-1 High School Science Puzzles Which One Will Be Brighter? — High School Science Puzzles Label This Bimetal Thermometer — High School Science Puzzles Keep It Balanced — Middle School Science Puzzles How Fast Is the New Gear? — Middle School Science Puzzles Where Is the Earth Best Protected? — High School Science Puzzles Which Elephant Will Fall? — High School Science Puzzles Fuzz and Duke Love Fetch — Middle School Science Puzzles Is Heat Used or Produced? HS-PS3-4 High School Science Puzzles Is She Accelerating? — High School Science Puzzles What Will a Voltmeter Read? HS-PS3-5 High School Science Puzzles Where Does the Energy Go? — High School Science Puzzles What Are the Father's Alleles? — High School Science Puzzles Is It Balanced? — Middle School Science Puzzles Beware of the Cheese! — Middle School Science Puzzles You Eat Like a Bird — Middle School Science Puzzles Can You Free the Nut? — High School Science Puzzles How Fast is the Last Gear? — Middle School Science Puzzles Make It a Bit Brighter — High School Science Puzzles Fix This Mobile — Middle School Science Puzzles How Can They Land Safely? HS-PS2-1 High School Science Puzzles What Does an Atom Weigh? — High School Science Puzzles Can You Loosen the Fit? HS-PS3-3 High School Science Puzzles Who's the Tug-of-War Winner? — High School Science Puzzles Find the Unknown Weights — High School Science Puzzles Can You Pull Off This Trick? — High School Science Puzzles What Happens in a Faster Flow? — High School Science Puzzles How Much Sulfur Is Needed? — High School Science Puzzles How Fast Can She Fly? — High School Science Puzzles Where Will Lightning NOT Strike? HS-PS2-4 High School Science Puzzles What's Lost Each Bounce? — High School Science Puzzles Is There Enough Information? — High School Science Puzzles Which Will Run Out First? — High School Science Puzzles How Many Springs Are Needed? — High School Science Puzzles Did Someone Deflate This Football? — High School Science Puzzles Catch Up If You Can! — High School Science Puzzles Let's Make Rocket Fuel — High School Science Puzzles Add Some Spin to It! HS-PS2-1 High School Science Puzzles How Much Does It Compress? — High School Science Puzzles Which One Will Distort? — High School Science Puzzles Which Counterweight Is Heavier? — High School Science Puzzles Is Your Chemistry a Little Rusty? — High School Science Puzzles The Distance Doesn't Matter HS-PS2-1 High School Science Puzzles What Happens to the Top Ball? — High School Science Puzzles Where Is There the Most Friction? — High School Science Puzzles Which Feels Colder? — Middle School Science Puzzles How Much Does It Dip? — High School Science Puzzles This Is Pascal's Paradox — High School Scientific Thinking Connecting Gears — Middle School Scientific Thinking Gears Changing Speeds — Middle School Scientific Thinking Compound Gears — Middle School Scientific Thinking Compound Gear Chains HS-PS2-6 High School Scientific Thinking Balancing Weights — Middle School Scientific Thinking Moments — Middle School Scientific Thinking Adding Moments — Middle School Scientific Thinking Adding a Level — Middle School Scientific Thinking Multiple Levels HS-PS2-1 High School Scientific Thinking A Mystery Weight — Middle School Scientific Thinking Multiple Unknowns — Middle School Scientific Thinking Simultaneous Solving — Middle School Scientific Thinking Playing Pool — High School Scientific Thinking Combination Shots — High School Scientific Thinking Predetermined Collisions — High School Scientific Thinking Chain Reactions HS-PS2-1 High School Scientific Thinking Momentum Transfer HS-PS2-2 High School Scientific Thinking Momentum Components HS-PS2-2 High School Scientific Thinking Chains of Prediction HS-PS2-2 High School Scientific Thinking Structure Components — Middle School Scientific Thinking Rigid Shapes — Middle School Scientific Thinking Extending Structures — Middle School Scientific Thinking Building Structures — High School Scientific Thinking Degrees of Freedom — High School Scientific Thinking Equivalent Structures — High School Scientific Thinking Analyzing Beams — High School Scientific Thinking Analyzing Joints — High School Scientific Thinking Analyzing Screws — High School Scientific Thinking Adjusting Mirrors HS-PS4-3 High School Scientific Thinking Light Bulbs HS-PS4-2 High School Scientific Thinking Images — High School Scientific Thinking Apparent Distance HS-PS4-2 High School Scientific Thinking Refraction — Middle School Scientific Thinking Triangular Prisms HS-PS4-1 High School Scientific Thinking Jammed Gears — Middle School Scientific Thinking Counting Rotations — Middle School Scientific Thinking Rates of Rotation — High School Scientific Thinking The Fastest Gear — High School Scientific Thinking Shifting Gears — Middle School Special Relativity Relative Motion of Observers — High School Special Relativity Propagation of Light — High School Special Relativity The Mystery of the Luminiferous Aether — High School Special Relativity Einstein's Postulates — High School Special Relativity Derive: Lorentz Transformations — High School Special Relativity Length Contraction & Time Dilation — High School Special Relativity Relativistic Laser Tag — High School Special Relativity Cosmic Ray Muons — High School Special Relativity Spacetime Intervals and Causality — High School Special Relativity Chimp Twin Paradox — High School Special Relativity Rotations in Spacetime — High School Special Relativity Plight of the ABC Jungle Fruit — High School Special Relativity Superluminal Observations — High School Special Relativity UFO Encounter — High School Special Relativity Four-Velocity — High School Special Relativity Energy-Momentum Conservation — High School Special Relativity High-Energy Particles — High School Special Relativity Photons — High School Special Relativity Relative Motion of Observers — High School Special Relativity Propagation of Light — High School Special Relativity The Mystery of the Luminiferous Aether — High School Special Relativity Einstein's Postulates — High School Special Relativity Derive: Lorentz Transformations — High School Special Relativity Length Contraction & Time Dilation — High School Special Relativity Relativistic Laser Tag — High School Special Relativity Cosmic Ray Muons — High School Special Relativity Spacetime Intervals and Causality — High School Special Relativity Chimp Twin Paradox — High School Special Relativity Rotations in Spacetime — High School Special Relativity Plight of the ABC Jungle Fruit — High School Special Relativity Superluminal Observations — High School Special Relativity UFO Encounter — High School Special Relativity Four-Velocity — High School Special Relativity Energy-Momentum Conservation — High School Special Relativity High-Energy Particles — High School Special Relativity Photons — High School Computer Science Course Lesson Standards Grade Levels or Subjects Algorithmic Thinking The Scheduling Problem — Intermediate Algorithmic Thinking Solving Instances — Intermediate Algorithmic Thinking Describing Algorithms — Intermediate Algorithmic Thinking Multiple Solutions — Intermediate Algorithmic Thinking Identifying Invariants — Intermediate Algorithmic Thinking Finding Counterexamples — Intermediate Algorithmic Thinking Adapting to New Criteria — Intermediate Algorithmic Thinking Testing Algorithms — Intermediate Algorithmic Thinking Modifying an Algorithm — Advanced Algorithmic Thinking Controlling Order — Intermediate Algorithmic Thinking Verifying Correctness — Intermediate Algorithmic Thinking Finding an Algorithm's Limits — Advanced Algorithmic Thinking Updating a Strategy — Intermediate Algorithmic Thinking Proving Incorrectness — Intermediate Algorithmic Thinking Updating an Algorithm — Intermediate Algorithmic Thinking Reasoning about Criteria — Intermediate Algorithmic Thinking Testing the Strategy — Intermediate Algorithmic Thinking Optimizing — Intermediate Algorithmic Thinking Crafting Counterexamples — Intermediate Algorithmic Thinking Greedy Optimization — Intermediate Algorithmic Thinking Optimal Substructures — Intermediate Algorithmic Thinking Problem Equivalence — Intermediate Computer Science Fundamentals Discovering Algorithms — Beginner Computer Science Fundamentals Looping — Beginner Computer Science Fundamentals Conditional Logic — Beginner Computer Science Fundamentals Complex Logic — Intermediate Computer Science Fundamentals Manipulating Numbers — Beginner Computer Science Fundamentals Puzzles with Inputs — Intermediate Computer Science Fundamentals Arrays — Beginner Computer Science Fundamentals Repetition and Arrays — Intermediate Computer Science Fundamentals Searching an Array — Intermediate Computer Science Fundamentals Binary Search — Intermediate Computer Science Fundamentals Compare and Swap — Beginner Computer Science Fundamentals Sorting an Array — Intermediate Computer Science Fundamentals Insertion Sort — Intermediate Computer Science Fundamentals Timing Programs — Intermediate Computer Science Fundamentals Counting Operations — Intermediate Computer Science Fundamentals Best and Worst Case — Intermediate Computer Science Fundamentals Average Case — Intermediate Computer Science Fundamentals Comparing Algorithms — Intermediate Computer Science Fundamentals Understanding Big O — Advanced Computer Science Fundamentals The Mathematics of Big O — Advanced Computer Science Fundamentals The Stable Matching Problem — Intermediate Computer Science Fundamentals Using Greediness — Intermediate Computer Science Fundamentals Deferred Acceptance Algorithm — Intermediate Computer Science Fundamentals Correctness — Intermediate Computer Science Fundamentals Termination — Intermediate Computer Science Fundamentals Running Time — Intermediate Computer Science Fundamentals Variants — Intermediate Computer Science Fundamentals Decision Trees — Beginner Computer Science Fundamentals Fewer Questions — Intermediate Computer Science Fundamentals Binary Search — Beginner Computer Science Fundamentals Parallelism — Intermediate Computer Science Fundamentals Pipelining — Intermediate Computer Science Fundamentals Resource Tradeoffs — Intermediate Computer Science Fundamentals Resource Allocation — Beginner Computer Science Fundamentals Abstraction — Beginner Computer Science Fundamentals Interfaces — Beginner Computer Science Fundamentals The Bridges of Königsberg — Beginner Computer Science Fundamentals Brute Force — Intermediate Computer Science Fundamentals Thinking with Graphs — Beginner Computer Science Fundamentals Eulerian Paths — Intermediate Computer Science Fundamentals Representing Games and Puzzles — Intermediate Computer Science Fundamentals Completing the Graph — Intermediate Computer Science Fundamentals Graph Search — Intermediate Cryptocurrency A Brief History of Currency — Beginner Cryptocurrency The Fable of Cryptonia — Beginner Cryptocurrency Cryptographic Signatures — Intermediate Cryptocurrency Decentralizing Cryptonia — Intermediate Cryptocurrency Cryptonian Vulnerabilities — Intermediate Cryptocurrency Cracking Cryptonia — Intermediate Cryptocurrency Cryptographic Hash Functions — Intermediate Cryptocurrency Exploring Hash Functions — Intermediate Cryptocurrency Inverting Hash Functions — Intermediate Cryptocurrency Securing Hash Functions — Intermediate Cryptocurrency Blockchains — Intermediate Cryptocurrency Merkle Trees — Intermediate Cryptocurrency Introducing ZooCash — Intermediate Cryptocurrency Account Management — Advanced Cryptocurrency Blockchain Ledger — Intermediate Cryptocurrency Double-Spending — Intermediate Cryptocurrency Proof of Work — Intermediate Cryptocurrency Robustness of ZooCash — Advanced Cryptocurrency Smart Contracts — Advanced Digital Circuits AND Gates — Beginner Digital Circuits OR Gates — Beginner Digital Circuits Combining Gates — Intermediate Digital Circuits NOT Gates — Beginner Digital Circuits Choosing Components — Intermediate Digital Circuits Reversing Outputs — Intermediate Digital Circuits Building Circuits — Intermediate Digital Circuits Crossing and Connecting — Intermediate Digital Circuits Truth Tables — Beginner Digital Circuits Building the Truth — Intermediate Digital Circuits Multiple Outputs — Intermediate Digital Circuits The Missing Circuits — Intermediate Digital Circuits Exclusive OR — Beginner Digital Circuits Equivalent Circuits — Intermediate Digital Circuits Bits and Digits — Beginner Digital Circuits Adding Binary — Beginner Digital Circuits Carrying Over — Beginner Digital Circuits A Half Adder — Beginner Digital Circuits Adding Larger Numbers — Beginner Digital Circuits Adding 1s — Beginner Digital Circuits Carrying The Two — Intermediate Digital Circuits A Full Adder — Intermediate Digital Circuits Combining Adders — Intermediate Digital Circuits Expressing Logic — Beginner Digital Circuits Logical Statements — Beginner Digital Circuits Combining Statements — Intermediate Digital Circuits Building Statements — Intermediate Digital Circuits Statements of Truth — Intermediate Digital Circuits NAND Gates — Intermediate Digital Circuits Using Only NAND — Intermediate Digital Circuits NOR Gates — Intermediate Digital Circuits Using NAND and NOR — Intermediate Event-Driven Programming Programming a Game — Beginner Event-Driven Programming Decomposition — Intermediate Event-Driven Programming Event-Driven Programming — Intermediate Event-Driven Programming Intro to Functions — Beginner Event-Driven Programming Debugging Functions — Intermediate Event-Driven Programming Arguments and Scope — Beginner Event-Driven Programming Internal Variables — Intermediate Event-Driven Programming Programming a Game — Beginner Event-Driven Programming Decomposition — Intermediate Event-Driven Programming Event-Driven Programming — Intermediate Event-Driven Programming Intro to Functions — Beginner Event-Driven Programming Debugging Functions — Intermediate Event-Driven Programming Arguments and Scope — Beginner Event-Driven Programming Internal Variables — Intermediate How AI Works Intro to Language Models — Beginner How AI Works Predicting the Next Word — Beginner How AI Works Larger Context Windows — Intermediate How AI Works Calculating Word Probabilities — Intermediate How AI Works Temperature — Intermediate How AI Works Improving Models — Beginner How AI Works Loss — Intermediate How AI Works Preprocessing — Beginner How AI Works Capitalization — Beginner How AI Works Punctuation — Intermediate How AI Works Tokenization — Intermediate How AI Works Byte-Pair Encoding — Intermediate How AI Works Deep Networks — Intermediate How AI Works Training — Intermediate How AI Works Gradient Descent — Intermediate How AI Works Neural Networks — Intermediate How AI Works Folding Data — Intermediate How AI Works Multiple Layers — Intermediate How AI Works Reading Digits — Intermediate How AI Works Pattern Recognition — Intermediate How AI Works Compressing Images — Intermediate How AI Works Classifying Faces — Intermediate How AI Works A Space of Faces — Intermediate How AI Works Semantic Geometry — Intermediate How AI Works Turning Text into Data — Beginner How AI Works Using Dictionaries — Beginner How AI Works Counting Unique Words — Intermediate How AI Works Bigrams and Mutability — Intermediate How AI Works Bigram Frequency and Tuples — Intermediate How AI Works Bigram Analysis — Intermediate How AI Works Building a Language Model — Intermediate How Technology Works How Strong Passwords Work — Beginner How Technology Works How Video Compression Works — Intermediate How Technology Works How Recommendation Engines Work — Intermediate How Technology Works How Wireless Communication Works — Intermediate How Technology Works How GPS Works — Intermediate How Technology Works How Computer Memory Works — Intermediate Introduction to Neural Networks Neural Networks — Beginner Introduction to Neural Networks The Computer Vision Problem — Intermediate Introduction to Neural Networks The Folly of Computer Programming — Intermediate Introduction to Neural Networks Can Computers Learn? — Intermediate Introduction to Neural Networks The Decision Box — Intermediate Introduction to Neural Networks Activation Arithmetic — Intermediate Introduction to Neural Networks Decision Boundaries — Intermediate Introduction to Neural Networks Building an XOR Gate — Intermediate Introduction to Neural Networks Classification — Intermediate Introduction to Neural Networks Sigmoid Neurons — Intermediate Introduction to Neural Networks Training a Single Neuron — Intermediate Introduction to Neural Networks Hidden Layers — Intermediate Introduction to Neural Networks Curve Fitting — Intermediate Introduction to Neural Networks Universal Approximator — Advanced Introduction to Neural Networks A Shape-Recognizing Network — Intermediate Programming with Functions Filtering Images — Beginner Programming with Functions Adjusting Images — Intermediate Programming with Functions Functions — Beginner Programming with Functions Returning Values — Intermediate Programming with Functions Debugging Functions — Intermediate Programming with Functions Multiple Functions — Intermediate Programming with Functions Coloring with Tuples — Beginner Programming with Functions Erasing Colors — Intermediate Programming with Functions Local Variables — Intermediate Programming with Functions Inverting Colors — Beginner Programming with Functions Tinkering with Functions — Intermediate Programming with Functions Tracing Errors — Intermediate Programming with Functions Testing with Images — Intermediate Programming with Functions Debugging with Images — Intermediate Programming with Functions Function Dependency — Intermediate Programming with Functions Building Functions — Intermediate Programming with Functions Using Functions — Intermediate Programming with Functions Debugging Dependencies — Intermediate Programming with Functions Composing Functions — Intermediate Programming with Functions Ordering Compositions — Intermediate Programming with Functions Reusing Functions — Intermediate Programming with Functions Using Multiple Inputs — Intermediate Programming with Functions Customizing Functions — Intermediate Programming with Functions Passing Values — Intermediate Programming with Variables Writing Programs — Beginner Programming with Variables Using Variables — Beginner Programming with Variables Multiple Variables — Beginner Programming with Variables Debugging Variables — Beginner Programming with Variables Updating Variables — Beginner Programming with Variables Updating with Expressions — Beginner Programming with Variables Variables and Loops — Beginner Programming with Variables Geometric Expressions — Beginner Programming with Variables Using Logic — Beginner Programming with Variables Variable Logic — Beginner Programming with Variables The For Loop — Beginner Programming with Variables Patterns with Variables — Beginner Programming with Variables Manipulating Variables — Intermediate Programming with Variables Coloring with Numbers — Beginner Programming with Variables Randomness — Beginner Search Engines Searching the Whole World — Beginner Search Engines Four Thousand Years of Search Engines — Intermediate Search Engines Crawling the Web — Beginner Search Engines Searching with Sherlock Holmes — Beginner Search Engines Word Search — Beginner Search Engines Many Words at Once — Intermediate Search Engines Exact Phrases — Intermediate Search Engines Searching with Logic — Intermediate Search Engines Search Challenges — Advanced Search Engines Introducing Indexes — Intermediate Search Engines Building an Index — Beginner Search Engines An Algorithm for Indexing — Intermediate Search Engines Word Search with an Index — Intermediate Search Engines Queries with AND and OR Operators — Intermediate Search Engines Queries with NOT Operators — Intermediate Search Engines Limitations of the Index — Intermediate Search Engines Lossless Indexing — Intermediate Search Engines Storing the Index — Intermediate Search Engines Phrases and Wildcards — Intermediate Search Engines Improving Search — Intermediate Thinking in Code Writing Programs — Beginner Thinking in Code Sequencing Commands — Beginner Thinking in Code Repeating Patterns — Beginner Thinking in Code Debugging Programs — Beginner Thinking in Code Looping With Logic — Intermediate Thinking in Code While Loop Challenge — Intermediate Thinking in Code Recognizing Patterns — Beginner Thinking in Code Controlling with Logic — Intermediate Thinking in Code Nesting Loops — Intermediate Thinking in Code Combining Loops — Intermediate Thinking in Code Loop Combo Challenge — Intermediate Thinking in Code Using if Statements — Beginner Thinking in Code Preventing Errors — Beginner Thinking in Code Using if-else Statements — Beginner Thinking in Code Branching with Logic — Beginner Thinking in Code Branching Challenge — Intermediate Thinking in Code Nesting Logic — Intermediate Thinking in Code Complex Branching — Intermediate Thinking in Code Complex Logic — Intermediate Thinking in Code Designing Programs — Intermediate Thinking in Code Programming a Website — Intermediate Thinking in Code Automating Emails — Beginner Thinking in Code Automating Social Media — Beginner Thinking in Code Programming an App — Intermediate Thinking in Code Structuring Code — Intermediate Thinking in Code Combining Commands — Intermediate Thinking in Code Using Inputs — Beginner Thinking in Code Using Variables — Beginner Thinking in Code Updating Variables — Beginner Thinking in Code Incrementing Variables — Beginner Thinking in Code Looping with Variables — Beginner Thinking in Code Looping with Lists — Beginner Thinking in Code Processing Input — Beginner Thinking in Code Dealing with Cases — Beginner Thinking in Code Navigating a Grid — Intermediate Thinking in Code Nesting For Loops — Intermediate Thinking in Code Controlling Loops — Beginner Thinking in Code Avoiding Obstacles — Intermediate Thinking in Code Finding Shortcuts — Beginner Thinking in Code Chaining Conditionals — Intermediate Thinking in Code Using Boolean Logic — Intermediate Thinking in Code Extending Logic — Intermediate Thinking in Code Building Helpers — Beginner Thinking in Code Logical Ordering — Beginner Thinking in Code Streamlining Logic — Intermediate Thinking in Code Solving Mazes — Intermediate Thinking in Code Building Programs — Intermediate Thinking in Python Variables — Beginner Thinking in Python Updating Variables — Beginner Thinking in Python Printing — Beginner Thinking in Python Variable Self-Update — Beginner Thinking in Python Variable Dependency — Intermediate Thinking in Python Boolean Expressions — Beginner Thinking in Python Conditional Statements — Beginner Thinking in Python Branching Conditionals — Intermediate Thinking in Python Setting Boolean Variables — Beginner Thinking in Python Testing Programs — Intermediate Thinking in Python Combining Boolean Expressions — Intermediate Thinking in Python Storing Boolean Values — Intermediate Thinking in Python Negating Booleans — Beginner Thinking in Python Organizing Logic — Intermediate Thinking in Python Complex Logic — Intermediate Thinking in Python For Loops — Beginner Thinking in Python Structuring Loops — Intermediate Thinking in Python Loop Variable Dependency — Intermediate Thinking in Python Logic Inside Loops — Intermediate Thinking in Python Complex Dependencies — Intermediate Data Science Course Lesson Standards Grade Levels or Subjects Bayesian Probability A Medical Examination S.IC.6 Statistics Clustering & Classification K-Means Algorithm — High School Clustering & Classification Initial Guesses — High School Clustering & Classification Inertia — High School Clustering & Classification Total Inertia — High School Clustering & Classification Optimization — High School Clustering & Classification Number of Clusters — High School Clustering & Classification Magnitudes — High School Clustering & Classification Outliers — High School Clustering & Classification Classification — Middle School Clustering & Classification Building a Simple Classifier — High School Clustering & Classification Probabilistic Classification — High School Clustering & Classification Logistic Regression — High School Clustering & Classification Pixels — High School Clustering & Classification Weights — High School Clustering & Classification Heat Maps — High School Clustering & Classification Bias — High School Clustering & Classification Log Likelihood — High School Clustering & Classification Multi-class Regression — High School Clustering & Classification The Softmax Function — High School Exploring Data Visually Filtering with Logic — High School Exploring Data Visually Grouping Data — High School Exploring Data Visually Grouping and Filtering — High School Predicting with Probability Dealing with Uncertainty — High School Predicting with Probability Matching Multiple Features — High School Predicting with Probability Recommender First Steps — High School Probability in Data Estimating Probabilities — Middle School Probability in Data Changing Fortunes — High School Probability in Data Simulation I — High School Probability in Data Spreading False News — High School Regression Exploring Data Subpopulations — High School