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.4 | Find factor pairs and identify multiples | Exponents and Radicals — Finding prime factorizations |
| 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 — Adding fractions with shapes, Adding same-denominator fractions, Showing fraction sums on shapes |
| 4.NF.4.b | Multiply fractions by whole numbers | Fractions — Multiplying whole numbers by fractions, Shading fraction products on shapes, Showing fraction multiples on shapes, 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, Showing fractions of fractions, Solving fraction multiplication equations |
Measurement and Data (5.MD)
| CC Standard | What the standard asks | Brilliant targeted skill |
|---|---|---|
| 5.MD.5.b | Apply V = l × w × h and V = b × h for right rectangular prisms with whole-number edge lengths in problem contexts. | Geometry and Measurement — Find volume as area of the base times height |
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 |
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 — Finding unit rates |
| 6.RP.3 | Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., via tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. | Proportional Reasoning — Finding the scale factor, Finding totals from ratios, Scaling by a given factor, Scaling recipes to a target, Scaling with non-whole numbers |
| 6.RP.3.a | Tables of equivalent ratios | Proportional Reasoning — Identifying equivalent ratios, Simplifying ratios, Writing equivalent ratios |
| 6.RP.3.b | Solve unit rate problems | Proportional Reasoning — Comparing ratios with unit rates, Comparing unit prices, Relating totals, rates, and amounts Real-World Algebra — Scaling 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, Visualizing percentages on bars Exploring Data Visually — Find percents of a whole from a pie chart, Reading pie charts Real-World Algebra — Finding a percent of an amount |
The Number System (6.NS)
| CC Standard | What the standard asks | Brilliant targeted skill |
|---|---|---|
| 6.NS.5 | Understand positive and negative numbers describe quantities with opposite directions/values (temperature, elevation, credits/debits, charge); use them to represent real-world quantities, explaining the meaning of 0 in each situation. | Negative Numbers — Building numbers with tiles, Counting signed tile values |
| 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)
Geometry (6.G)
| CC Standard | What the standard asks | Brilliant targeted skill |
|---|---|---|
| 6.G.1 | Find areas of triangles and polygons | Coordinate Geometry — Calculating rectangle area, Calculating right triangle area, Finding compound shape area Integrals — Finding the area under a graph |
| 6.G.4 | Nets and surface area | Geometry and Measurement — Find surface area by adding face areas |
Statistics and Probability (6.SP)
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.a | Decide whether two quantities are proportional (equivalent ratios in a table; graph is a straight line through the origin). | Proportional Reasoning — Checking for proportionality |
| 7.RP.2.b | Identify the constant of proportionality | Proportional Reasoning — Comparing proportional graphs |
| 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, Comparing split and single changes, Computing repeated percent growth, Showing percent increases and decreases, Visualizing compound percent changes |
The Number System (7.NS)
| CC Standard | What the standard asks | Brilliant targeted skill |
|---|---|---|
| 7.NS.1 | Apply and extend understandings of addition and subtraction to add and subtract rational numbers; represent on horizontal/vertical number lines. | Negative Numbers — Calculating absolute value of sums, Subtracting on the number line, Subtracting positive and negative numbers, Subtracting with signed tiles |
| 7.NS.1.b | Understand adding rational numbers on number lines | Negative Numbers — Adding on the number line, Adding positive and negative numbers, Adding with signed tiles |
| 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 |
| 7.NS.1.d | Add and subtract rational numbers | Negative Numbers — Evaluating expressions step by step |
Expressions and Equations (7.EE)
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 — Write an equation relating labeled angles |
| 7.G.6 | Area, volume, and surface area problems | Geometry and Measurement — Find surface area from base area and perimeter |
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 | Limits — Building decimal approximations of a number Exponents and Radicals — Estimating non-perfect square roots |
Expressions and Equations (8.EE)
Functions (8.F)
Geometry (8.G)
Statistics and Probability (8.SP)
| CC Standard | What the standard asks | Brilliant targeted skill |
|---|---|---|
| 8.SP.1 | Construct and interpret scatter plots | Clustering & Classification — Comparing similarity on a scatter plot, Interpreting clusters, Spotting the variable that takes over Exploring Data Visually — Describe the relationship in a scatter plot, Describing how two things relate, Read coordinates of points on a scatter plot, Reading scatter plots |
| 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. | Linear Relationships — Fit a line to data and predict Exploring Data Visually — Judging how strongly things relate Proportional Reasoning — Predicting with a proportional model |
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 |
| 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 — 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 Integrals — Reading areas above and below zero Regression — Rescaling for a change of units |
N.CN — The Complex Number System
N.VM — Vector and Matrix Quantities
High school — Algebra
A.SSE — Seeing Structure in Expressions
| CC Standard | What the standard asks | Brilliant targeted skill |
|---|---|---|
| A.SSE.1.a | Interpret parts of an expression: terms, factors, coefficients. | Trigonometric Functions — Interpreting trig models Quadratics — Understanding motion equations |
| A.SSE.1.b | Interpret expression parts as single entities | Trigonometric Functions — Interpreting changing oscillation models |
| A.SSE.2 | Use expression structure to rewrite expressions | Quadratics — Completing factors with negatives, Completing partial factorizations, Factoring signed quadratics fully, Factoring simple quadratics, Factoring with leading coefficients, Factoring with negative constants, Recognizing perfect square patterns Polynomials — Factoring biquadratic polynomials, Factoring out monomials, Factoring power differences Equations and Curves — Rewriting equivalent equations, 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 — Combining like terms, Combining signed terms, Combining terms with coefficients, Determining signs in products, Expanding binomial products, Finding constant terms, Finding linear terms, Multiplying with area models, Multiplying with negative numbers |
| A.APR.3 | Identify zeros of polynomials to sketch graphs | Quadratics — Connecting intercepts to factors Polynomials — Connecting roots and factors, Determining sign between roots, Matching graphs to factored form, Solving by factoring |
| 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.1 | Create equations and inequalities in one variable and use them to solve problems, including equations arising from linear and quadratic functions, and simple rational and exponential functions. (modeling ★) | Limits — Describing target intervals with inequalities, Finding terms outside a target interval |
| A.CED.2 | Create and graph equations in two variables | Linear Relationships — Graphing lines from intercepts, Graphing real-world relationships, Writing standard form equations Linear Systems — Set up a system from a scenario, Writing equations from constraints Quadratics — Writing equations for motion, Writing equations for real situations |
| A.CED.3 | Represent constraints with equations and inequalities | Quadratics — Finding when objects arrive Linear Systems — Identifying inequality solutions, Writing inequality systems Linear Relationships — Writing linear inequalities |
A.REI — Reasoning with Equations and Inequalities
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 | Introduction to Functions — 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 Integrals — Tracking a running total |
| F.IF.3 | Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers (e.g., Fibonacci: f(0) = f(1) = 1, f(n+1) = f(n) + f(n–1)). | Limits — Finding and plotting sequence terms |
| F.IF.4 | Interpret key features of graphs | Limits — Classifying sequences from a formula, Reading sequence properties from a graph Trigonometric Functions — Describing how oscillations change, Identifying periodic function features, Predicting periodic values Derivatives — Finding maximums and minimums, Reading slope on a wave graph, Sketching a derivative graph, Sorting intervals by direction of change Polynomials — Finding roots from graphs, Finding the y-intercept, Identifying sign regions, Reading polynomial graphs Quadratics — Finding the axis of symmetry, Finding the best possible value, Finding vertices using symmetry, Interpreting results in context Introduction to Functions — Identifying function intervals, Reading continuous function graphs, Reading discontinuous function graphs, Reading periodic function graphs 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 | Equations and Curves — Connecting transformations to domain and range, Determining domain and range, Finding domain and range after transformations Logarithms — Find the domain of a logarithmic function Introduction to Functions — Finding function domains |
| F.IF.6 | Calculate and interpret the average rate of change of a function (symbolic or table) over a specified interval; estimate the rate of change from a graph. (modeling ★) | Derivatives — Comparing rates of change, Completing a difference quotient, Finding a constant rate of change, Finding average rate of change, Finding average velocity |
| F.IF.7 | Graph functions expressed symbolically and show key features, by hand in simple cases and using technology for more complicated cases. (modeling ★) | Introduction to Functions — Plotting numeric functions |
| 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 slope |
| F.IF.7.b | Graph square root, cube root, and piecewise functions | Introduction to Functions — Evaluating floor and ceiling functions, Plotting conditional functions Equations and Curves — Identifying power function graphs |
| F.IF.7.c | Graph polynomial functions showing end behavior | Polynomials — Identifying dominant terms, Matching equations to graphs |
| F.IF.7.d | Graph rational functions with zeros and asymptotes | Equations and Curves — 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 | Logarithms — Graph a logarithmic function Trigonometric Functions — Solving equations from the tangent graph, Solving equations from trig graphs |
| F.IF.8.a | Factor and complete the square in quadratic functions | Quadratics — Finding the vertex |
| F.IF.8.b | Use properties of exponents to interpret expressions for exponential functions (e.g., classify y = (1.02)^t, (0.97)^t, (1.01)^(12t), (1.2)^(t/10) as growth or decay and identify percent rate). | Limits — Finding limits of geometric sequences |
| F.IF.9 | Compare properties of functions across representations | Polynomials — Comparing power functions |
F.BF — Building Functions
F.LE — Linear, Quadratic, and Exponential Models
F.TF — Trigonometric Functions
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 | Polar Coordinate Plane — Applying rotations and dilations Coordinate Transformations — Combining stretches with transformations, Stretching along an axis |
| 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 | Matrices — Applying sequential transformations, Composing geometric transformations Polar Coordinate Plane — Choosing polar transformations, Combining transformations |
G.SRT — Similarity, Right Triangles, and Trigonometry
| CC Standard | What the standard asks | Brilliant targeted skill |
|---|---|---|
| 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 — Using non-polar angle decomposition |
| G.SRT.8 | Solve right triangles in applied problems | Vectors — Computing vector magnitude, Decomposing vectors with trigonometry |
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 |
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 — Plotting shifted circles, 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 |
High school — Statistics and Probability
S.ID — Interpreting Categorical and Quantitative Data
| CC Standard | What the standard asks | Brilliant targeted skill |
|---|---|---|
| S.ID.2 | Use statistics appropriate to the shape of the distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more data sets. | Clustering & Classification — Comparing clusters by inertia |
| S.ID.3 | Interpret shape, center, and spread with outliers | Predicting with Probability — Comparing a group to everyone Regression — Detecting hidden groups in data |
| 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 — Choosing a model for curved data, Predicting from a model equation, Predicting from a regression line, Transforming variables to straighten data, Tuning a model to fit better, Using categories in a model |
| 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.7 | Interpret slope and intercept of a linear model | Regression — Interpreting interacting variables, Interpreting model coefficients, Reading a model with several variables |
| S.ID.8 | Compute and interpret the correlation coefficient | Regression — Checking the groups inside data, Choosing the best predictor, Interpreting correlations in context, Reading correlation from a scatter plot |
S.IC — Making Inferences and Justifying Conclusions
| CC Standard | What the standard asks | Brilliant targeted skill |
|---|---|---|
| S.IC.6 | Evaluate reports based on data | Exploring Data Visually — Making a data-backed recommendation |
S.CP — Conditional Probability and the Rules of Probability
S.MD — Using Probability to Make Decisions
| CC Standard | What the standard asks | Brilliant targeted skill |
|---|---|---|
| S.MD.2 | Expected value of a random variable | 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 |
| S.MD.7 | Analyze decisions and strategies using probability concepts (product testing, medical testing, pulling a hockey goalie at the end of a game). (+) | Probability in Data — Judging how often a rule fails |
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 practiced, 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.
