Relevant Brilliant Courses (Online Content)
The four courses below are the foundations for all of the mathematics offered on Brilliant. If you’re an educator with a group of 10 or more students you want to give full access to these courses, contact email@example.com to learn more about Brilliant’s discounts for school groups.
Deep Diving Math Enrichment Problem Sets (Printable Content)
Too often, school math is all about “racing to finish” instead of diving deep to understand and explore creative, tangential lines of inquiry. These sets were written to inspire deep diving exploration that extends and enriches the core mathematical topics and skills introduced in the 6th grade common core curriculum.
Each of the “Practice-Challenge-Culmination” problem sets listed below takes some foundational skill in the common core curriculum for that grade and, after a few practice problems, extends the concept to more creative challenges, and then to a single, deep-dive question.
Printable PDFs Common Core Standards Description Related Course Content PATTERN HUNTING [Printable PDF] CCSS.MATH.CONTENT.6.EE.B.6 CCSS.MATH.PRACTICE.MP2 Searching for and analyzing patterns is a core critical thinking skill that spans all disciplines of mathematics. This set of problems requires students to identify a wide variety of patterns and use them to make predictions. Students may take the approach of writing and solving equations, or they may choose to apply their intuition and number sense skills. Mathematical Fundamentals: Seeing Patterns DESCRIBING PATTERNS [Printable PDF] CCSS.MATH.CONTENT.6.EE.A.2 CCSS.MATH.CONTENT.6.EE.B.6 CCSS.MATH.CONTENT.6.EE.B.7 CCSS.MATH.CONTENT.6.EE.C.9 Math isn't about memorizing formulas, it's about problem solving. It's about looking at patterns and predicting the future of those patterns. This examination of patterns requires students to use variables to generalize about patterns. The initial patterns show linear growth while while the challenge and culmination problems show more complex types of change. Mathematical Fundamentals: Describing Patterns
Printable PDFs Common Core Standards Description Related Course Content BEYOND BASIC REMAINDERS [Printable PDF] CCSS.MATH.CONTENT.6.EE.A.2 CCSS.MATH.CONTENT.6.EE.B.6 CCSS.MATH.PRACTICE.MP7 Number Theory is number magic. It's how mathemagicians seemingly "solve" difficult problems in their head. These problems pertaining to remainders involve the most fundamental number theory tools and concepts. They give your students the chance to extend their understanding of remainders beyond what is traditionally taught in school and to explore patterns in remainders. Number Theory: Arithmetic with Remainders DIVISIBILITY [Printable PDF] CCSS.MATH.CONTENT.6.EE.A.2 CCSS.MATH.CONTENT.6.EE.B.6 CCSS.MATH.PRACTICE.MP7 In another application of Number Theory, these problems combine knowledge about remainders with divisibility rules. The culmination question requires combining several different divisibility rules to determine the largest possible 5 digit number. Number Theory: Arithmetic with Remainders DIVISIBILITY PUZZLES [Printable PDF] CCSS.MATH.CONTENT.6.NS.B.2 CCSS.MATH.PRACTICE.MP8 It's time to put that knowledge of divisibility rules to the test. Each of these cryptogram puzzles requires using one or more divisibility rules, and some strategic problem solving, to solve. Mathematical Fundamentals: Cryptograms Solved By Divisibility
Printable PDFs Common Core Standards Description Related Course Content FRACTION SENSE [Printable PDF] CCSS.MATH.CONTENT.6.EE.A.2. CCSS.MATH.CONTENT.6.NS.C.7 CCSS.MATH.CONTENT.6.EE.B.6 This deep dive into the world of fractions aims to improve the conceptual ability of students to reason with fractions. Students compare and order numerical fractions and algebraic fractions. Mathematical Fundamentals: Comparing Ratios FRACTION FRENZY [Printable PDF] CCSS.MATH.CONTENT.6.EE.A.2 CCSS.MATH.CONTENT.6.NS.A.1 CCSS.MATH.CONTENT.6.EE.B.6 This fraction frenzy is designed to promote a deeper understanding of fraction operations by combining several operations at once and pushing beyond numeric fractions into fractions that contain variables. Mathematical Fundamentals: Fraction Sense REASONING WITH RATIOS [Printable PDF] CCSS.MATH.CONTENT.6.RP.A.3 CCSS.MATH.CONTENT.6.EE.A.2 CCSS.MATH.CONTENT.6.EE.B.6 Beginning with two-part ratios and moving up to multi-part ratios, these problems build upon a student's ability to compare quantities and work simultaneously with ratios, fractions, and percents. The culminating puzzle involves a pile of money, multi-part ratios, and just one hint. Mathematical Fundamentals: Exploring Ratios RATES [Printable PDF] CCSS.MATH.CONTENT.6.RP.A.2 CCSS.MATH.CONTENT.6.RP.A.3.B CCSS.MATH.CONTENT.6.RP.A.3 From filling bathtubs with water to runners making passes to trains crossing bridges, these problems explore a wide variety of problems involving rates. And it can all be done without any of use of variables! Algebra Through Puzzles: Rates & Ratios PRICKLY PERCENTS [Printable PDF] CCSS.MATH.CONTENT.6.RP.A.3.C After comparing percents and performing percents arithmetic, these problems move on to percent applications and percent puzzles. The culmination puzzle of determining how to remove people from a room to meet percentage requirements encourages the use of percent intuition. Mathematical Fundamentals: Percent Applications