Common Core math coverage: grade-by-grade Brilliant lesson mapping

This page maps Common Core math standards from grade 3 through high school to the Brilliant lessons that teach them. Search by standard code or skill to find the closest match. A standard is listed only where Brilliant content fully or in part addresses the standard directly.

Grade 3

Number and Operations—Fractions (3.NF)

CC Standard	What the standard asks	Brilliant targeted skill
3.NF.1	Understand fractions as parts of a whole	Fractions — Coloring fractions on shapes, Reading fractions from shapes, Selecting correct fraction shapes, Shading fractions on divided shapes, Shading fractions with unequal parts, Spotting incorrect fraction shapes
3.NF.3.d	Compare fractions with same numerator or denominator	Fractions — Comparing fractions with matching parts, Comparing same-denominator fractions, Comparing same-numerator fractions

Measurement and Data (3.MD)

CC Standard	What the standard asks	Brilliant targeted skill
3.MD.3	Draw and interpret scaled bar graphs	Exploring Data Visually — Read and compare bars on a bar chart, Reading and comparing bar charts
3.MD.8	Perimeter problems with polygons	Geometry and Measurement — Find and compare perimeters of figures

Grade 4

Operations and Algebraic Thinking (4.OA)

CC Standard	What the standard asks	Brilliant targeted skill
4.OA.3	Solve multistep word problems with whole numbers	Visual Algebra — Using remainders to predict repeating patterns
4.OA.5	Generate and analyze number and shape patterns	Visual Algebra — Continuing a visual pattern

Number and Operations—Fractions (4.NF)

CC Standard	What the standard asks	Brilliant targeted skill
4.NF.1	Explain and recognize equivalent fractions	Fractions — Reading equivalent fractions from shapes, Recognizing equivalent fractions visually, Writing equivalent fractions
4.NF.2	Compare fractions with unlike numerators and denominators	Fractions — Comparing any two fractions, Comparing fractions using shapes, Comparing fractions with unlike denominators
4.NF.3.a	Fraction addition as joining and separating parts	Fractions — Showing fraction sums on shapes
4.NF.3.b	Decompose fractions into sums of fractions	Fractions — Adding same-denominator fractions
4.NF.4.a	Fractions as multiples of unit fractions	Fractions — Showing fraction multiples on shapes
4.NF.4.b	Multiply fractions by whole numbers	Fractions — Multiplying whole numbers by fractions, Writing fraction multiples

Measurement and Data (4.MD)

CC Standard	What the standard asks	Brilliant targeted skill
4.MD.7	Angle measure as additive	Geometry and Measurement — Find unknown angles around a point or on a line

Grade 5

Number and Operations—Fractions (5.NF)

CC Standard	What the standard asks	Brilliant targeted skill
5.NF.1	Add and subtract fractions with unlike denominators	Fractions — Adding fractions with different denominators, Adding related fractions, Adding unrelated fractions
5.NF.4.a	Interpret fraction multiplication	Fractions — Multiplying fractions, Shading fraction products on shapes, Showing fractions of fractions, Solving fraction multiplication equations

Geometry (5.G)

CC Standard	What the standard asks	Brilliant targeted skill
5.G.1	Define a coordinate system with perpendicular axes	Coordinate Plane — Distinguishing x and y coordinates, Identifying the origin, Identifying the x-axis and y-axis
5.G.2	Graph and interpret points in the first quadrant	Exploring Data Visually — Reading line graphs

Grade 6

Ratios and Proportional Relationships (6.RP)

CC Standard	What the standard asks	Brilliant targeted skill
6.RP.1	Ratio concepts and language	Proportional Reasoning — Adjusting ratios in mixtures
6.RP.2	Understand unit rates and rate language	Proportional Reasoning — Comparing ratios with unit rates, Finding unit rates
6.RP.3.a	Tables of equivalent ratios	Proportional Reasoning — Finding the scale factor, Finding totals from ratios, Identifying equivalent ratios, Scaling by a given factor, Scaling recipes to a target, Scaling with non-whole numbers, Simplifying ratios, Writing equivalent ratios
6.RP.3.b	Solve unit rate problems	Proportional Reasoning — Comparing unit prices
6.RP.3.c	Find percents of quantities	Percents — Calculating a percentage of a number, Converting percentages to fractions, Finding the percentage from two numbers, Reversing a percentage calculation; Exploring Data Visually — Find percents of a whole from a pie chart, Reading pie charts

The Number System (6.NS)

CC Standard	What the standard asks	Brilliant targeted skill
6.NS.6.b	Signs of coordinates and reflections across axes	Coordinate Plane — Working with negative coordinates
6.NS.6.c	Plot rational numbers on number lines and planes	Negative Numbers — Locating numbers on the number line; Coordinate Plane — Reading and plotting coordinate pairs
6.NS.7.a	Interpret inequalities as number line positions	Negative Numbers — Comparing positive and negative numbers
6.NS.7.c	Absolute value as distance from zero	Negative Numbers — Solving absolute value conditions
6.NS.8	Graph points and find distances in all quadrants	Coordinate Plane — Measuring gridline distance; Coordinate Geometry — Writing distance expressions with variables

Expressions and Equations (6.EE)

CC Standard	What the standard asks	Brilliant targeted skill
6.EE.1	Write and evaluate expressions with exponents	Exponents and Radicals — Applying order of operations with exponents, Distinguishing negation from negative bases, Evaluating expressions inside radicals, Evaluating fraction bar expressions, Evaluating multi-operation expressions, Evaluating nested grouping expressions, Evaluating powers and roots with arithmetic, Evaluating whole-number powers, Writing expressions from patterns; Visual Algebra — Finding counts when growth speeds up
6.EE.2.a	Write expressions from verbal descriptions	Exploring Data Visually — Creating new data columns
6.EE.2.c	Evaluate expressions at specific variable values	Exploring Data Visually — Create a new column from existing columns; Linear Equations — Evaluating linear expressions
6.EE.3	Generate equivalent expressions using properties	Solving Equations — Combining terms in equations, Distributing over groups, Factoring into groups; Linear Equations — Writing and simplifying expressions; Visual Algebra — Writing equivalent expressions
6.EE.4	Identify equivalent expressions	Coordinate Geometry — Identifying equivalent area expressions; Visual Algebra — Identifying equivalent expressions
6.EE.5	Understand solutions of equations and inequalities	Solving Equations — Checking value constraints, Constructing balanced equations; Exploring Data Visually — Filter a data table with conditions; Linear Equations — Finding unknown values
6.EE.6	Use variables to represent numbers in expressions	Solving Equations — Combining like terms; Coordinate Geometry — Writing area expressions with variables; Visual Algebra — Writing expressions for each shape, Writing rules for growing patterns
6.EE.7	Write and solve one-step equations	Solving Equations — Finding unknown values, Solving one-step equations, Writing equations from scales
6.EE.8	Write and graph simple inequalities	Solving Equations — Distinguishing inequality types, Finding inequality solutions, Finding value ranges, Graphing inequalities, Translating words to inequalities

Geometry (6.G)

CC Standard	What the standard asks	Brilliant targeted skill
6.G.1	Find areas of triangles and polygons	Coordinate Geometry — Calculating right triangle area, Finding compound shape area
6.G.3	Draw polygons in the coordinate plane	Coordinate Geometry — Calculating rectangle area
6.G.4	Nets and surface area	Geometry and Measurement — Find surface area by adding face areas

Statistics and Probability (6.SP)

CC Standard	What the standard asks	Brilliant targeted skill
6.SP.4	Display data in dot plots, histograms, and box plots	Everyday Statistics — Matching data to box plots; Exploring Data Visually — Reading histograms
6.SP.5.c	Quantitative measures of center and variability	Everyday Statistics — Combining groups to find the mean, Finding quartiles, Finding the mean (the average) of a data set, Finding the mean of uneven data, Finding the median, Spotting outliers, Updating the mean with new data, Updating the median with new data, Using the outlier rule; Exploring Data Visually — Find frequencies and percentiles from a histogram, Read median, quartiles, and extremes from a boxplot
6.SP.5.d	Relate measure choice to distribution shape	Everyday Statistics — Comparing mean, median, and mode, Seeing how outliers affect the mean

Grade 7

Ratios and Proportional Relationships (7.RP)

CC Standard	What the standard asks	Brilliant targeted skill
7.RP.2	Recognize and represent proportional relationships	Proportional Reasoning — Graphing proportional relationships
7.RP.2.b	Identify the constant of proportionality	Proportional Reasoning — Comparing proportional graphs, Relating totals, rates, and amounts
7.RP.2.c	Represent proportional relationships with equations	Proportional Reasoning — Writing proportional equations
7.RP.3	Solve multistep ratio and percent problems	Percents — Calculating compound percent changes, Computing repeated percent growth, Writing compound change expressions

The Number System (7.NS)

CC Standard	What the standard asks	Brilliant targeted skill
7.NS.1.a	Opposite quantities that combine to zero	Negative Numbers — Building numbers with tiles
7.NS.1.b	Understand adding rational numbers on number lines	Negative Numbers — Adding on the number line, Adding positive and negative numbers, Calculating absolute value of sums
7.NS.1.c	Understand subtraction as adding the opposite	Negative Numbers — Calculating distance with subtraction, Finding distance on the number line, Finding numbers at a given distance, Rewriting subtraction as addition, Subtracting on the number line, Subtracting positive and negative numbers
7.NS.1.d	Add and subtract rational numbers	Negative Numbers — Evaluating expressions step by step
7.NS.2.a	Understand multiplication of signed numbers	Exponents and Radicals — Evaluating negative-base powers, Evaluating powers of negative one; Linear Equations — Substituting negative values

Expressions and Equations (7.EE)

CC Standard	What the standard asks	Brilliant targeted skill
7.EE.1	Add, subtract, factor, and expand linear expressions	Visual Algebra — Combining pattern expressions; Linear Equations — Combining terms with decimals, Finding the greatest common factor; Solving Equations — Distributing over a sum, Factoring common factors
7.EE.2	Rewrite expressions to reveal meaning	Percents — Comparing split and single changes, Writing percent change expressions; Linear Equations — Writing percent change expressions
7.EE.4	Construct equations and inequalities to solve problems	Linear Equations — Modeling with linear equations; Solving Equations — Writing balanced equations, Writing inequalities from scales
7.EE.4.a	Solve word problems with two-step equations	Linear Equations — Finding missing values with negatives, Solving equations with parentheses, Solving for negative answers, Solving two-step equations, Solving with reciprocals, Working with negative coefficients; Solving Equations — Solving grouped equations
7.EE.4.b	Solve word problems with two-step inequalities	Linear Equations — Comparing deals with percentages, Dividing by negatives in inequalities, Identifying inequality solutions, Solving multi-step inequalities, Solving multi-step negative inequalities, Solving one-step inequalities; Solving Equations — Solving for boundary values

Geometry (7.G)

CC Standard	What the standard asks	Brilliant targeted skill
7.G.1	Scale drawings of geometric figures	Geometry and Measurement — Find the scale factor and unknown lengths, Relate areas of similar shapes using scale factor
7.G.4	Area and circumference of circles	Geometry and Measurement — Find circumference from radius or diameter
7.G.5	Angle relationships in multi-step problems	Geometry and Measurement — Find a regular polygon's exterior and interior angles
7.G.6	Area, volume, and surface area problems	Geometry and Measurement — Find surface area from base area and perimeter, Find volume as area of the base times height

Statistics and Probability (7.SP)

CC Standard	What the standard asks	Brilliant targeted skill
7.SP.4	Compare two populations with measures of center and spread	Exploring Data Visually — Compare boxplots across datasets; Everyday Statistics — Comparing data sets with box plots
7.SP.5	Probability as a number from 0 to 1	Probability in Data — Estimating chances without data
7.SP.6	Approximate probability from relative frequency	Probability in Data — Estimating probabilities from past data
7.SP.7.a	Uniform probability models	Probability and Chance — Calculating probability, Changing probability by removing options, Comparing the likelihood of outcomes
7.SP.8.a	Compound events as a fraction of the sample space	Probability and Chance — Finding the probability of both events, Finding the probability of either event
7.SP.8.b	Represent sample spaces for compound events	Probability and Chance — Counting outcomes across overlapping events, Counting possible outcomes
7.SP.8.c	Design simulations for compound events	Probability in Data — Choosing inputs for a simulation

Grade 8

The Number System (8.NS)

CC Standard	What the standard asks	Brilliant targeted skill
8.NS.2	Approximate irrational numbers with rationals	Exponents and Radicals — Estimating non-perfect square roots

Expressions and Equations (8.EE)

CC Standard	What the standard asks	Brilliant targeted skill
8.EE.1	Apply properties of integer exponents	Exponents and Radicals — Applying the power rule for exponents, Applying the product rule for exponents, Applying the quotient rule for exponents, Combining exponent rules to simplify, Dividing with prime factorizations, Evaluating zero-exponent expressions, Multiplying with prime factorizations, Rewriting with negative exponents, Simplifying multi-base quotients, Simplifying negative exponents in denominators, Simplifying products with exponent zero, Simplifying with negative exponents; Equations and Curves — Simplifying with exponent rules, Simplifying with exponent rules
8.EE.2	Use square roots and cube roots	Exponents and Radicals — Evaluating cube roots and higher roots, Evaluating square roots
8.EE.3	Estimate quantities with powers of ten	Exponents and Radicals — Estimating magnitude with powers of ten, Estimating with scientific notation
8.EE.4	Operations with scientific notation	Exponents and Radicals — Expressing numbers in scientific notation, Multiplying and dividing in scientific notation
8.EE.6	Derive slope and linear equations using similar triangles	Linear Relationships — Computing slope
8.EE.7.a	Equations with one, infinitely many, or no solutions	Linear Equations — Classifying equations by solutions, Recognizing equations with many solutions, Recognizing equations with no solution
8.EE.7.b	Solve linear equations with rational coefficients	Linear Equations — Combining fractional terms, Combining groups of expressions, Combining like terms to solve, Combining negatives to solve, Solving equations by distributing, Solving equations by factoring, Solving equations with fractions, Solving with subtracted variables, Solving with variables on both sides; Solving Equations — Solving after combining
8.EE.8.a	Systems solutions as intersection points	Linear Systems — Testing points in equations
8.EE.8.b	Solve systems of linear equations algebraically	Linear Systems — Counting solutions to a system, Eliminating by adding equations; Solving Equations — Multiplying to eliminate, Solving by subtracting equations, Solving systems by combining, Solving systems by substitution, Solving with substitution
8.EE.8.c	Solve real-world problems with linear systems	Linear Systems — Finding solutions by graphing

Functions (8.F)

CC Standard	What the standard asks	Brilliant targeted skill
8.F.1	Understand functions as input-output rules	Introduction to Functions — Applying the vertical line test, Following function rules, Identifying function rules, Plotting numeric functions, Recognizing non-functions; Linear Relationships — Reading linear patterns
8.F.2	Compare functions represented in different ways	Visual Algebra — Comparing pattern growth rates
8.F.3	Recognize linear and nonlinear functions	Linear Relationships — Recognizing linear relationships
8.F.4	Construct linear functions to model relationships	Visual Algebra — Building expressions from rate and start, Describing steady growth; Linear Relationships — Calculating rates of change, Evaluating linear equations, Finding constant change, Finding starting values
8.F.5	Describe functional relationships from graphs	Exploring Data Visually — Spotting trends over time

Geometry (8.G)

CC Standard	What the standard asks	Brilliant targeted skill
8.G.2	Congruence through sequences of rigid motions	Coordinate Transformations — Proving congruence
8.G.3	Describe transformations using coordinates	Coordinate Transformations — Computing 180-degree rotations, Computing axis reflections, Computing diagonal reflections, Computing quarter-turn rotations, Translating with coordinates
8.G.4	Similarity through transformations and dilations	Coordinate Transformations — Combining scaling and sliding, Proving similarity
8.G.5	Informal arguments about angle relationships	Geometry and Measurement — Compare angle measures in a diagram, Find the interior angle sum of a polygon, Find unknown angles made by lines and in triangles, Write an equation relating labeled angles
8.G.6	Explain a proof of the Pythagorean theorem	Coordinate Geometry — Applying the Pythagorean theorem to areas
8.G.7	Apply the Pythagorean theorem to find side lengths	Coordinate Geometry — Finding side lengths with the Pythagorean theorem
8.G.8	Find distances in the coordinate plane	Coordinate Geometry — Calculating a circle's radius, Calculating distance from coordinates; Clustering & Classification — Finding distance with several variables

Statistics and Probability (8.SP)

CC Standard	What the standard asks	Brilliant targeted skill
8.SP.1	Construct and interpret scatter plots	Exploring Data Visually — Describe the relationship in a scatter plot, Describing how two things relate, Judging how strongly things relate, Read coordinates of points on a scatter plot; Clustering & Classification — Interpreting clusters
8.SP.2	Straight lines model relationships between quantitative variables; for linear-looking scatter plots, informally fit a straight line and informally assess fit by closeness of points to the line.	Exploring Data Visually — Identify and extend a trend on a line graph
8.SP.4	Patterns of association in bivariate categorical data via frequencies and relative frequencies in a two-way table; construct and interpret; use row/column relative frequencies to describe possible association.	Exploring Data Visually — Group a data table to summarize categories

High school — Number and Quantity

N.RN — The Real Number System

CC Standard	What the standard asks	Brilliant targeted skill
N.RN.1	Explain the meaning of rational exponents	Exponents and Radicals — Connecting fractional exponents to radicals; Exponential Functions — Evaluate an exponential at non-integer x-values; Equations and Curves — Evaluating roots and inverse compositions
N.RN.2	Rewrite expressions with radicals and rational exponents	Exponents and Radicals — Adding and subtracting like square roots, Evaluating general fractional exponents, Evaluating unit fraction exponents, Multiplying square root expressions, Simplifying and combining unlike radicals; Equations and Curves — Evaluating square roots of squares, Simplifying fractional exponents

N.Q — Quantities

CC Standard	What the standard asks	Brilliant targeted skill
N.Q.1	Use units to guide multi-step problem solving	Exploring Data Visually — Comparing on a log scale; Regression — Rescaling for a change of units

N.CN — The Complex Number System

CC Standard	What the standard asks	Brilliant targeted skill
N.CN.1	Understand imaginary and complex numbers	Complex Numbers — Evaluating real and imaginary parts
N.CN.2	Add, subtract, and multiply complex numbers	Complex Numbers — Adding and subtracting complex numbers, Evaluating expressions with i, Multiplying complex numbers, Simplifying powers of i
N.CN.3	Conjugates, moduli, and quotients of complex numbers	Complex Numbers — Dividing complex numbers, Finding absolute value, Finding complex conjugates, Multiplying conjugate pairs
N.CN.4	Rectangular and polar forms of complex numbers	Complex Numbers — Finding magnitude and argument, Plotting complex numbers, Writing in polar form
N.CN.5	Represent complex number operations geometrically	Complex Numbers — Adding arguments to multiply, Computing powers of conjugates, Dividing by i, Dividing in polar form, Finding principal roots, Identifying complex transformations, Multiplying in polar form, Raising complex numbers to powers, Rotating by multiplying by i, Scaling complex numbers, Using conjugates in polar form
N.CN.6	Distances and midpoints in the complex plane	Complex Numbers — Finding complex number distance
N.CN.7	Solve quadratics with complex solutions	Complex Numbers — Solving equations with complex solutions; Quadratics — Solving with imaginary numbers
N.CN.9	Know the Fundamental Theorem of Algebra	Complex Numbers — Finding all complex roots

N.VM — Vector and Matrix Quantities

CC Standard	What the standard asks	Brilliant targeted skill
N.VM.1	Recognize vectors as magnitude and direction	Vectors and Matrices — Computing vector magnitude, Drawing vectors from polar form
N.VM.2	Find vector components from endpoints	Vectors and Matrices — Representing shifts as vectors
N.VM.3	Solve velocity and other vector problems	Vectors and Matrices — Adding velocity vectors, Combining velocities from bearings, Computing relative velocity
N.VM.4.a	Add vectors end-to-end and component-wise	Vectors and Matrices — Adding vectors by components, Drawing vector sums, Evaluating linear combinations
N.VM.4.b	Find the magnitude and direction of vector sums	Vectors and Matrices — Adding vectors from angles
N.VM.4.c	Understand and represent vector subtraction	Vectors and Matrices — Drawing vector differences, Finding opposite vectors, Subtracting vectors by components
N.VM.5.a	Represent and perform scalar multiplication of vectors	Vectors and Matrices — Drawing linear combinations, Identifying scalar multiples, Scaling vectors
N.VM.5.b	Magnitude and direction of scalar multiples	Vectors and Matrices — Scaling to a target magnitude
N.VM.7	Multiply matrices by scalars	Vectors and Matrices — Scaling matrices
N.VM.8	Add, subtract, and multiply matrices	Vectors and Matrices — Adding and subtracting matrices, Determining matrix product dimensions, Multiplying matrices
N.VM.9	Properties of matrix multiplication	Vectors and Matrices — Composing transformations by multiplying, Repeating matrix transformations
N.VM.10	Zero and identity matrices and determinants	Vectors and Matrices — Identifying non-invertible matrices
N.VM.11	Multiply vectors by matrices as transformations	Vectors and Matrices — Applying matrix transformations, Multiplying matrices by vectors, Transforming vectors with matrices
N.VM.12	Two-by-two matrices as transformations of the plane	Vectors and Matrices — Computing determinants, Encoding transformations as matrices, Identifying shape transformations, Reading transformation matrices, Solving determinant constraints

High school — Algebra

A.SSE — Seeing Structure in Expressions

CC Standard	What the standard asks	Brilliant targeted skill
A.SSE.1	Interpret expressions in context	Geometry and Measurement — Interpret variables in a surface area formula
A.SSE.1.b	Interpret expression parts as single entities	Visual Algebra — Seeing squares inside patterns
A.SSE.2	Use expression structure to rewrite expressions	Polynomials — Factoring biquadratic polynomials, Factoring out monomials; Quadratics — Factoring signed quadratics fully, Factoring simple quadratics, Factoring with leading coefficients, Factoring with negative constants, Recognizing perfect square patterns; Equations and Curves — Simplifying by factoring, Simplifying rational expressions
A.SSE.3.a	Factor quadratics to reveal zeros	Quadratics — Graphing by factoring
A.SSE.3.b	Complete the square to reveal extreme values	Quadratics — Converting to vertex form
A.SSE.3.c	Transform exponential expressions using exponent properties	Exponential Functions — Express decay with a negative exponent

A.APR — Arithmetic with Polynomials and Rational Expressions

CC Standard	What the standard asks	Brilliant targeted skill
A.APR.1	Add, subtract, and multiply polynomials	Polynomials — Adding polynomials, Multiplying monomials, Multiplying polynomials, Subtracting polynomials, Working with multivariable polynomials; Quadratics — Determining signs in products, Expanding binomial products
A.APR.2	Apply the remainder theorem	Polynomials — Connecting roots and factors
A.APR.3	Identify zeros of polynomials to sketch graphs	Quadratics — Connecting intercepts to factors; Polynomials — Determining sign between roots, Matching graphs to factored form, Solving by factoring
A.APR.4	Prove and use polynomial identities	Polynomials — Factoring power differences
A.APR.7	Operations with rational expressions	Equations and Curves — Adding rational expressions

A.CED — Creating Equations

CC Standard	What the standard asks	Brilliant targeted skill
A.CED.2	Create and graph equations in two variables	Linear Relationships — Graphing real-world relationships, Writing standard form equations; Linear Systems — Writing equations from constraints; Quadratics — Writing equations from graphs
A.CED.3	Represent constraints with equations and inequalities	Linear Systems — Identifying inequality solutions, Writing inequality systems; Linear Relationships — Writing linear inequalities

A.REI — Reasoning with Equations and Inequalities

CC Standard	What the standard asks	Brilliant targeted skill
A.REI.1	Justify each step in solving equations	Solving Equations — Transforming equations
A.REI.3	Solve linear equations and inequalities in one variable	Linear Equations — Solving compound inequalities
A.REI.4.a	Complete the square to derive the quadratic formula	Quadratics — Completing squares with fractions, Solving by completing the square
A.REI.4.b	Solve quadratic equations by various methods	Trigonometric Functions — Factoring non-linear trig equations; Quadratics — Isolating squared variables, Solving equations by factoring, Solving shifted square equations, Solving with square roots, Using the discriminant, Using the quadratic formula
A.REI.5	Prove elimination preserves system solutions	Linear Systems — Scaling equations to eliminate
A.REI.6	Solve pairs of linear equations exactly and approximately	Linear Systems — Solving systems by graphing; Vectors and Matrices — Solving systems graphically
A.REI.7	Solve systems of linear and quadratic equations	Equations and Curves — Solving systems and unions of curves
A.REI.8	Represent linear systems as matrix equations	Vectors and Matrices — Writing matrix equations
A.REI.9	Use matrix inverses to solve linear systems	Vectors and Matrices — Computing inverse matrices, Inverting simple matrices, Solving systems with inverses
A.REI.10	Graphs as solution sets of equations	Equations and Curves — Analyzing implicit equations, Finding points on a curve, Matching equations to graphs, Verifying points on curves; Quadratics — Evaluating quadratic equations
A.REI.11	Solve equations by finding graph intersections	Equations and Curves — Building equations from intersections, Controlling the number of intersections, Finding intersection points; Quadratics — Reading solutions from graphs
A.REI.12	Graph solutions of linear inequalities and systems	Coordinate Plane — Combining two inequalities, Identifying strip regions, Reading solid and dashed boundaries, Shading regions for inequalities; Equations and Curves — Finding regions for multiple inequalities, Identifying inequality regions; Linear Systems — Graphing inequality constraints, Graphing inequality solutions; Linear Relationships — Graphing linear inequalities, Identifying inequality solutions

High school — Functions

F.IF — Interpreting Functions

CC Standard	What the standard asks	Brilliant targeted skill
F.IF.1	Understand the definition of a function	Equations and Curves — Connecting transformations to domain and range, Determining domain and range, Finding domain and range after transformations, Finding hyperbola domain and range, Matching equations to graphs; Introduction to Functions — Finding function domains, Finding function ranges
F.IF.2	Use and interpret function notation	Exponential Functions — Evaluate an exponential at negative x-values, Evaluate an exponential expression; Polynomials — Evaluating polynomials, Evaluating power functions; Introduction to Functions — Matching input-output pairs
F.IF.4	Interpret key features of graphs	Polynomials — Finding roots from graphs, Identifying sign regions, Reading polynomial graphs; Introduction to Functions — Identifying function intervals, Reading continuous function graphs, Reading periodic function graphs; Trigonometric Functions — Identifying periodic function features, Predicting periodic values; Linear Relationships — Interpreting intercepts; Equations and Curves — Reading intervals from hyperbolas, Reading values from graphs
F.IF.5	Relate a function's domain to its graph	Logarithms — Find the domain of a logarithmic function
F.IF.7.a	Graph linear and quadratic functions	Quadratics — Finding maximum and minimum values, Graphing parabolas from vertex form; Linear Relationships — Graphing from point-slope form, Graphing lines from intercepts
F.IF.7.b	Graph square root, cube root, and piecewise functions	Introduction to Functions — Evaluating floor and ceiling functions, Plotting conditional functions, Reading discontinuous function graphs; Equations and Curves — Identifying power function graphs, Identifying transformed graphs
F.IF.7.c	Graph polynomial functions showing end behavior	Polynomials — Identifying dominant terms, Identifying transformed features, Matching equations to graphs
F.IF.7.d	Graph rational functions with zeros and asymptotes	Equations and Curves — Finding asymptotes and holes, Finding hyperbola asymptotes, Finding intercepts and sign regions, Finding vertical asymptotes, Identifying discontinuities and sign regions, Locating asymptotes, Matching rational functions to graphs
F.IF.7.e	Graph exponential, logarithmic, and trigonometric functions	Trigonometric Functions — Finding transformed function periods, Identifying amplitude and midline, Solving equations from the tangent graph, Solving equations from trig graphs; Logarithms — Graph a logarithmic function
F.IF.8.a	Factor and complete the square in quadratic functions	Quadratics — Finding the axis of symmetry, Finding the vertex, Finding vertices using symmetry
F.IF.9	Compare properties of functions across representations	Exponential Functions — Compare two exponential functions, Graph and compare compound interest functions; Polynomials — Comparing power functions

F.BF — Building Functions

CC Standard	What the standard asks	Brilliant targeted skill
F.BF.1.a	Determine explicit or recursive rules from context	Visual Algebra — Writing expressions as length times width, Writing separate even and odd rules; Introduction to Functions — Writing numeric function rules
F.BF.1.b	Combine functions using arithmetic operations	Visual Algebra — Breaking patterns into parts; Introduction to Functions — Combining functions with operations
F.BF.1.c	Compose functions to model relationships	Introduction to Functions — Evaluating composite functions, Writing composite function expressions
F.BF.3	Identify effects of function transformations on graphs	Polynomials — Applying parity properties, Applying single transformations, Classifying even and odd powers, Combining transformations, Recognizing polynomial symmetry; Equations and Curves — Applying reflections and equivalent stretches, Applying shifts and stretches, Combining multiple transformations, Completing hyperbola equations, Finding equation parameters, Shifting the square root graph, Stretching and reflecting root graphs, Transforming hyperbola graphs, Transforming the square root graph, Writing transformations from constraints; Introduction to Functions — Combining reflections and stretches, Reflecting functions across axes, Sliding Function Graphs, Stretching Function Graphs; Logarithms — Convert between log bases graphically, Transform a log graph using identities; Trigonometric Functions — Identifying phase shift relationships, Transforming periodic functions; Quadratics — Writing vertex form equations
F.BF.4.a	Write expressions for inverse functions	Introduction to Functions — Finding inverse functions
F.BF.4.b	Verify inverses by composition	Equations and Curves — Evaluating squaring and square roots
F.BF.4.c	Read inverse function values from graphs and tables	Equations and Curves — Graphing the square root function
F.BF.5	Inverse relationship between exponents and logarithms	Logarithms — Change the base of a logarithm, Check solutions of logarithmic equations, Convert between exponential and logarithmic form, Estimate a logarithm, Evaluate a logarithm exactly, Rewrite logarithms with the power rule, Rewrite logarithms with the product and quotient rules, Solve logarithmic equations

F.LE — Linear, Quadratic, and Exponential Models

CC Standard	What the standard asks	Brilliant targeted skill
F.LE.1	Distinguish linear from exponential situations	Visual Algebra — Identifying types of growth
F.LE.1.c	Recognize constant percent growth or decay	Visual Algebra — Describing exponential growth; Exponential Functions — Identify exponential decay from a dot pattern, Identify exponential growth from a dot pattern
F.LE.2	Construct linear and exponential functions	Exponential Functions — Build a decay function with a fractional base, Build an exponential function from non-integer points, Build an exponential function from plotted points, Build an exponential function over negative domain, Deduce an exponential function from two points, Find the base of an exponential function, Set the coefficient of an exponential function, Write a compound growth or decay expression; Visual Algebra — Writing exponential expressions; Linear Relationships — Writing point-slope equations, Writing slope-intercept equations
F.LE.3	Exponential growth eventually exceeds polynomial growth	Exponential Functions — Compare exponential growth to linear growth, Compare exponential growth to quadratic growth
F.LE.4	Solve exponential equations using logarithms	Logarithms — Find the exponent in an exponential equation, Solve exponential equations with logarithms

F.TF — Trigonometric Functions

CC Standard	What the standard asks	Brilliant targeted skill
F.TF.1	Understand radian measure of angles	Trigonometric Functions — Constructing angles in radians; Polar Coordinate Plane — Finding angles from arc lengths
F.TF.2	Extend trigonometric functions using the unit circle	Polar Coordinate Plane — Computing x and y from polar; Vectors and Matrices — Decomposing vectors with trigonometry; Trigonometric Functions — Evaluating sine and cosine, Evaluating tangent at an angle, Evaluating trig functions in radians, Finding angles beyond one revolution, Finding coterminal angles, Reading cosine from circular motion, Reading sine from circular motion
F.TF.3	Find exact trigonometric values for special angles	Trigonometric Functions — Evaluating trig values at key angles, Finding angle pairs for trig values
F.TF.4	Symmetry and periodicity of trigonometric functions	Trigonometric Functions — Applying symmetry and periodicity rules, Describing all solutions with periodicity, Determining tangent sign by quadrant
F.TF.5	Model periodic phenomena with trigonometric functions	Trigonometric Functions — Matching functions with transformations
F.TF.6	Restrict domains to define inverse trigonometric functions	Trigonometric Functions — Evaluating inverse trig functions; Vectors and Matrices — Finding polar angles
F.TF.7	Solve trigonometric equations using inverse functions	Polar Coordinate Plane — Computing angles with inverse tangent, Converting to polar coordinates; Trigonometric Functions — Solving equations with inverse cosine, Solving equations with inverse sine
F.TF.8	Prove and use the Pythagorean identity	Trigonometric Functions — Using the Pythagorean identity
F.TF.9	Addition and subtraction formulas for sine and cosine	Complex Numbers — Interpreting angle sum diagrams

High school — Geometry

G.CO — Congruence

CC Standard	What the standard asks	Brilliant targeted skill
G.CO.2	Represent transformations as functions in the plane	Coordinate Transformations — Combining stretches with transformations, Stretching along an axis; Vectors and Matrices — Composing geometric transformations
G.CO.3	Rotations and reflections that map shapes onto themselves	Coordinate Transformations — Finding lines of symmetry, Finding rotational symmetry, Identifying types of symmetry
G.CO.5	Draw transformed figures and transformation sequences	Polar Coordinate Plane — Applying rotations and dilations, Choosing polar transformations, Combining transformations; Coordinate Transformations — Combining rotations, Combining rotations and translations, Combining translations, Connecting reflections and rotations, Reflecting across any line, Reflecting across axes, Reversing reflections, Reversing rotations, Reversing translations, Rotating around any point, Rotating around the origin, Rotating by reflecting twice, Rotating clockwise, Sliding points and shapes, Translating by reflecting twice, Translating by rotating twice
G.CO.6	Use rigid motions to determine congruence	Coordinate Transformations — Recognizing mirror images

G.SRT — Similarity, Right Triangles, and Trigonometry

CC Standard	What the standard asks	Brilliant targeted skill
G.SRT.1	Verify properties of dilations experimentally	Coordinate Transformations — Scaling around any point, Scaling from the origin
G.SRT.2	Similarity through transformations	Geometry and Measurement — Match corresponding angles in similar shapes
G.SRT.6	Define trigonometric ratios in right triangles	Trigonometric Functions — Finding special right triangle sides
G.SRT.7	Sine and cosine of complementary angles	Trigonometric Functions — Applying complementary angle relationships; Vectors and Matrices — Using non-polar angle decomposition

G.C — Circles

CC Standard	What the standard asks	Brilliant targeted skill
G.C.5	Arc length, radian measure, and sector area	Trigonometric Functions — Computing arc length; Polar Coordinate Plane — Computing arc lengths from angles, Computing arc lengths from fractions

G.GPE — Expressing Geometric Properties with Equations

CC Standard	What the standard asks	Brilliant targeted skill
G.GPE.1	Derive and use the equation of a circle	Polar Coordinate Plane — Plotting polar points on x-y grids; Coordinate Geometry — Using the circle equation at the origin, Using the general circle equation; Equations and Curves — Writing circle and ellipse equations
G.GPE.5	Slope criteria for parallel and perpendicular lines	Linear Relationships — Finding perpendicular slopes, Writing parallel line equations, Writing perpendicular line equations

G.GMD — Geometric Measurement and Dimension

CC Standard	What the standard asks	Brilliant targeted skill
G.GMD.1	Informal arguments for circle and volume formulas	Geometry and Measurement — Compare volumes by slicing and rearranging
G.GMD.3	Volume formulas for cylinders, pyramids, cones, and spheres	Geometry and Measurement — Use the one-third relationship for pyramids and cones

High school — Statistics and Probability

S.ID — Interpreting Categorical and Quantitative Data

CC Standard	What the standard asks	Brilliant targeted skill
S.ID.3	Interpret shape, center, and spread with outliers	Predicting with Probability — Comparing a group to everyone
S.ID.6	Represent and describe two-variable data on a scatter plot	Regression — Spotting nonlinear relationships
S.ID.6.a	Fit a function to data and use it in context	Regression — Predicting from a model equation, Predicting from a regression line, Transforming variables to straighten data
S.ID.6.b	Assess a fit by analyzing residuals	Regression — Measuring how well a model fits
S.ID.6.c	Fit a linear function to a scatter plot	Regression — Fitting a line to data, Modeling one subgroup at a time
S.ID.8	Compute and interpret the correlation coefficient	Regression — Choosing the best predictor, Interpreting correlations in context, Reading correlation from a scatter plot
S.ID.9	Distinguish correlation from causation	Regression — Checking the groups inside data

S.CP — Conditional Probability and the Rules of Probability

CC Standard	What the standard asks	Brilliant targeted skill
S.CP.3	Conditional probability and independence	Predicting with Probability — Applying Bayes' theorem; Probability in Data — Finding conditional probabilities from data, Identifying when events affect each other
S.CP.4	Two-way frequency tables as sample spaces	Probability in Data — Judging how often a rule fails
S.CP.5	Conditional probability in everyday situations	Predicting with Probability — Judging how much evidence matters; Probability in Data — Updating probabilities with new evidence
S.CP.6	Conditional probability by counting outcomes	Probability and Chance — Finding probability given a condition
S.CP.7	Apply the addition rule	Probability in Data — Adding probabilities of separate outcomes, Combining probabilities with a formula; Predicting with Probability — Adding up probabilities to a threshold, Combining cases into one probability
S.CP.8	Apply the general multiplication rule	Probability in Data — Combining probabilities across cases, Finding probabilities of multi-step outcomes, Finding probability of two related events; Probability and Chance — Finding probability of two unrelated events

S.MD — Using Probability to Make Decisions

CC Standard	What the standard asks	Brilliant targeted skill
S.MD.5.a	Find the expected payoff of a game of chance	Probability and Chance — Calculating expected value, Calculating expected value for multiple events
S.MD.5.b	Compare strategies using expected value	Probability and Chance — Comparing expected values

How this page is built

Every skill in Brilliant's math skill hierarchy is mapped to the single standard it aligns with most closely, using the published Common Core State Standards for Mathematics as the authority for what each standard requires and where its boundaries fall. Skills that build toward a standard without teaching its stated content are excluded, so a skill appears here only where it addresses the standard directly.

Each skill links to a lesson where it is practised, and hovering a skill shows the description learners see for it. This page is regenerated from the mapping, so it reflects the current state rather than a fixed snapshot.