This page maps Texas TEKS math student expectations from grade 3 through high school to the Brilliant lessons that teach them. Search by student expectation code or skill to find the closest match. A student expectation is listed only where Brilliant content fully or in part addresses the student expectation directly.
Grade 3
Number and operations
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| 3.3.A | Representing fractions with models and number lines | Fractions — Coloring fractions on shapes, Reading fractions from shapes, Shading fractions on divided shapes, Spotting incorrect fraction shapes |
| 3.3.C | Understanding unit fractions as equal parts | Fractions — Selecting correct fraction shapes |
| 3.3.F | Representing equivalent fractions with models | Fractions — Reading equivalent fractions from shapes |
| 3.3.G | Explaining why fractions are equivalent | Fractions — Recognizing equivalent fractions visually |
| 3.3.H | Comparing fractions with like numerators or denominators | Fractions — Comparing fractions with matching parts, Comparing same-denominator fractions, Comparing same-numerator fractions |
Geometry and measurement
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| 3.6.E | Equal areas as unit fractions of a whole | Fractions — Shading fractions with unequal parts |
Grade 4
Number and operations
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| 4.3.C | Determining whether fractions are equivalent | Fractions — Writing equivalent fractions |
| 4.3.D | Comparing fractions with unlike numerators and denominators | Fractions — Comparing any two fractions, Comparing fractions using shapes, Comparing fractions with unlike denominators |
| 4.3.E | Adding and subtracting fractions with like denominators | Fractions — Adding same-denominator fractions |
| 4.4.H | One- and two-step multiplication and division problems | Visual Algebra — Using remainders to predict repeating patterns |
Geometry and measurement
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| 4.7.E | Find an unknown angle from adjacent angles | Geometry and Measurement — Find unknown angles around a point or on a line |
Grade 5
Number and operations
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| 5.3.H | Adding and subtracting fractions with unlike denominators | Fractions — Adding fractions with different denominators, Adding fractions with shapes, Adding related fractions, Adding unrelated fractions, Showing fraction sums on shapes |
| 5.3.I | Multiplying whole numbers by fractions | Fractions — Multiplying whole numbers by fractions, Showing fraction multiples on shapes, Writing fraction multiples |
Algebraic reasoning
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| 5.4.H | Perimeter, area, and volume problems | Geometry and Measurement — Find and compare perimeters of figures |
Geometry and measurement
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| 5.8.A | Describe the key attributes of the coordinate plane | Coordinate Plane — Distinguishing x and y coordinates, Identifying the origin, Identifying the x-axis and y-axis |
Data analysis
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| 5.9.C | Solve problems using data displays | Clustering & Classification — Comparing similarity on a scatter plot; Exploring Data Visually — Read coordinates of points on a scatter plot, Reading and comparing bar charts, Reading scatter plots |
Grade 6
Number and operations
Proportionality
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| 6.4.B | Solving prediction problems with ratios and rates | Proportional Reasoning — Comparing unit prices |
| 6.4.C | Ratios as multiplicative comparisons | Proportional Reasoning — Adjusting ratios in mixtures |
| 6.4.F | Benchmark fractions and percents | Percents — Visualizing percentages on bars |
| 6.4.G | Equivalent fractions, decimals, and percents | Percents — Converting percentages to fractions |
| 6.5.A | Ratios and rates with tables, graphs, and proportions | Proportional Reasoning — Comparing proportional graphs, Finding the scale factor, Finding totals from ratios, Graphing proportional relationships, Identifying equivalent ratios, Scaling by a given factor, Scaling recipes to a target, Scaling with non-whole numbers, Simplifying ratios, Writing equivalent ratios |
| 6.5.B | Solving part, whole, and percent problems | Percents — Calculating a percentage of a number, Finding the percentage from two numbers, Reversing a percentage calculation |
Expressions, equations, and relationships
Measurement and data
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| 6.11 | Graphing points in all four quadrants | Coordinate Plane — Reading and plotting coordinate pairs, Working with negative coordinates |
| 6.12.A | Represent numeric data graphically | Everyday Statistics — Matching data to box plots |
| 6.12.C | Summarize data with center and spread measures | Everyday Statistics — Comparing mean, median, and mode, Finding quartiles, Finding the mean (the average) of a data set, Finding the mean of uneven data, Finding the median |
| 6.13.A | Interpret data in plots and histograms | Exploring Data Visually — Find frequencies and percentiles from a histogram, Read median, quartiles, and extremes from a boxplot, Reading histograms; Everyday Statistics — Reading box plots |
Grade 7
Proportionality
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| 7.4.A | Representing constant rates of change | Visual Algebra — Identifying what each step adds |
| 7.4.B | Calculating unit rates | Proportional Reasoning — Comparing ratios with unit rates, Finding unit rates |
| 7.4.C | Finding the constant of proportionality | Proportional Reasoning — Relating totals, rates, and amounts |
| 7.4.D | Multi-step ratio, rate, and percent problems | Percents — Calculating compound percent changes, Comparing split and single changes, Computing repeated percent growth, Writing compound change expressions, Writing percent change expressions; Linear Equations — Comparing deals with percentages, Writing percent change expressions |
| 7.5.A | Critical attributes of similarity | Geometry and Measurement — Match corresponding angles in similar shapes |
| 7.5.C | Similar shapes and scale drawings | Geometry and Measurement — Find the scale factor and unknown lengths |
| 7.6.A | Represent sample spaces with lists and tree diagrams | Probability and Chance — Counting possible outcomes |
| 7.6.B | Simulations for simple and compound events | Probability in Data — Choosing inputs for a simulation |
| 7.6.C | Predictions from experimental data | Probability in Data — Estimating probabilities from past data |
| 7.6.D | Solutions from theoretical probability | Probability and Chance — Changing probability by removing options, Comparing the likelihood of outcomes |
| 7.6.E | Probability of an event and its complement | Probability in Data — Adding probabilities of separate outcomes; Probability and Chance — Finding the probability something won't happen |
| 7.6.G | Solve problems with bar graphs, dot plots, and circle graphs | Exploring Data Visually — Find percents of a whole from a pie chart, Read and compare bars on a bar chart, Reading pie charts |
| 7.6.I | Experimental and theoretical probabilities | Probability and Chance — Calculating probability, Finding the probability of both events, Finding the probability of either event; Probability in Data — Combining probabilities with a formula |
| 7.7 | Linear relationships with tables, graphs, and equations | Coordinate Plane — Plotting horizontal and vertical lines |
Expressions, equations, and relationships
Measurement and data
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| 7.12.A | Compare groups with dot plots or box plots | Exploring Data Visually — Compare boxplots across datasets; Everyday Statistics — Comparing data sets with box plots |
Grade 8
Number and operations
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| 8.2.B | Approximating irrational numbers | Exponents and Radicals — Estimating non-perfect square roots |
| 8.2.C | Converting between scientific and decimal notation | Exponents and Radicals — Expressing numbers in scientific notation |
Proportionality
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| 8.3.C | Effects of scale factors on coordinates | Coordinate Transformations — Scaling from the origin |
| 8.4.C | Slope and y-intercept from tables and graphs | Linear Relationships — Calculating rates of change, Computing slope, Finding constant change, Finding starting values; Visual Algebra — Describing steady growth |
| 8.5.B | Representing non-proportional linear situations | Linear Relationships — Evaluating linear equations, Graphing real-world relationships |
| 8.5.C | Identifying linear patterns in bivariate data | Exploring Data Visually — Judging how strongly things relate; Linear Relationships — Recognizing linear relationships; Regression — Spotting nonlinear relationships |
| 8.5.G | Identifying functions from tables and graphs | Introduction to Functions — Applying the vertical line test |
| 8.5.I | Writing equations for linear relationships | Visual Algebra — Building expressions from rate and start; Linear Relationships — Writing slope-intercept equations |
Expressions, equations, and relationships
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| 8.6.C | Explaining the Pythagorean theorem with models | Coordinate Geometry — Applying the Pythagorean theorem to areas |
| 8.7.B | Connect surface area to its formulas | Geometry and Measurement — Find surface area from base area and perimeter, Interpret variables in a surface area formula |
| 8.7.C | Solving problems with the Pythagorean theorem | Coordinate Geometry — Finding side lengths with the Pythagorean theorem |
| 8.7.D | Distance between points on the coordinate plane | Coordinate Geometry — Calculating a circle's radius, Calculating distance from coordinates; Clustering & Classification — Finding distance with several variables |
| 8.8.A | Writing equations with variables on both sides | Linear Equations — Modeling with linear equations; Solving Equations — Writing balanced equations, Writing inequalities from scales |
| 8.8.C | Solving equations with variables on both sides | Linear Equations — Combining negatives to solve, Solving equations with fractions, Solving with variables on both sides; Solving Equations — Finding unknown values |
| 8.8.D | Informal arguments about angle relationships | Geometry and Measurement — Compare angle measures in a diagram |
| 8.9 | Solutions of systems from graph intersections | Linear Systems — Finding solutions by graphing, Testing points in equations |
Two-dimensional shapes
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| 8.10.A | Properties of transformations on the coordinate plane | Coordinate Transformations — Recognizing mirror images |
| 8.10.C | Algebraic effects of rigid transformations | Coordinate Transformations — Computing 180-degree rotations, Computing axis reflections, Computing quarter-turn rotations, Reflecting across axes, Rotating around the origin, Rotating clockwise, Sliding points and shapes, Translating with coordinates |
| 8.10.D | Effect of dilations on length and area | Geometry and Measurement — Relate areas of similar shapes using scale factor |
Measurement and data
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| 8.11.A | Construct and describe scatterplots | Exploring Data Visually — Describe the relationship in a scatter plot, Describing how two things relate |
Algebra I
Linear functions, equations, and inequalities
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| A1.2.B | Linear equations from slope and points | Linear Relationships — Writing point-slope equations, Writing standard form equations |
| A1.2.C | Linear equations from tables, graphs, and descriptions | Introduction to Functions — Identifying function rules, Writing numeric function rules |
| A1.2.E | Equations of parallel lines | Linear Relationships — Writing parallel line equations |
| A1.2.F | Equations of perpendicular lines | Linear Relationships — Writing perpendicular line equations |
| A1.2.H | Writing linear inequalities in two variables | Linear Relationships — Writing linear inequalities |
| A1.2.I | Writing systems of two linear equations | Linear Systems — Writing equations from constraints |
| A1.3.B | Rate of change of linear functions | Visual Algebra — Comparing pattern growth rates |
| A1.3.C | Graphing linear functions and key features | Linear Relationships — Graphing from point-slope form, Graphing lines from intercepts, Interpreting intercepts |
| A1.3.D | Graphing linear inequalities in two variables | Linear Systems — Graphing inequality constraints; Linear Relationships — Graphing linear inequalities, Identifying inequality solutions; Equations and Curves — Identifying inequality regions; Coordinate Plane — Reading solid and dashed boundaries, Shading regions for inequalities |
| A1.3.F | Graphing systems of linear equations | Linear Systems — Counting solutions to a system, Solving systems by graphing; Vectors and Matrices — Solving systems graphically |
| A1.3.H | Graphing systems of linear inequalities | Coordinate Plane — Combining two inequalities, Identifying strip regions; Equations and Curves — Finding regions for multiple inequalities; Linear Systems — Graphing inequality solutions |
| A1.4.A | Calculate and interpret the correlation coefficient | Regression — Choosing the best predictor, Interpreting correlations in context, Reading correlation from a scatter plot |
| A1.4.B | Compare association and causation | Regression — Checking the groups inside data |
| A1.4.C | Fit linear functions to data and make predictions | Regression — Fitting a line to data, Modeling one subgroup at a time, Predicting from a model equation, Predicting from a regression line |
| A1.5.B | Solving linear inequalities in one variable | Linear Equations — Solving compound inequalities |
| A1.5.C | Solving systems of two linear equations | Linear Systems — Eliminating by adding equations, Scaling equations to eliminate; Solving Equations — Multiplying to eliminate, Solving by subtracting equations, Solving systems by combining, Solving systems by substitution, Solving with substitution; Vectors and Matrices — Solving systems with inverses |
Quadratic functions and equations
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| A1.6.B | Writing quadratics in vertex and standard form | Quadratics — Writing vertex form equations |
| A1.6.C | Writing quadratics from solutions and graphs | Quadratics — Writing equations from graphs |
| A1.7.A | Graphing quadratics and identifying key attributes | Quadratics — Finding maximum and minimum values, Finding the axis of symmetry, Finding vertices using symmetry, Graphing by factoring, Reading solutions from graphs |
| A1.7.B | Linear factors and zeros of quadratics | Quadratics — Connecting intercepts to factors |
| A1.7.C | Transformations of the quadratic parent function | Quadratics — Graphing parabolas from vertex form |
| A1.8.A | Solving quadratic equations by multiple methods | Quadratics — Completing squares with fractions, Isolating squared variables, Solving by completing the square, Solving equations by factoring, Solving shifted square equations, Solving with square roots, Using the quadratic formula |
Exponential functions and equations
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| A1.9.B | Interpreting parameters of exponential functions | Visual Algebra — Describing exponential growth; Exponential Functions — Identify exponential decay from a dot pattern, Identify exponential growth from a dot pattern |
| A1.9.C | Writing exponential growth and decay 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, Compare two exponential functions, Deduce an exponential function from two points, Express decay with a negative exponent, Find the base of an exponential function, Graph and compare compound interest functions, Set the coefficient of an exponential function, Write a compound growth or decay expression; Visual Algebra — Writing exponential expressions |
Number and algebraic methods
Geometry
Coordinate and transformational geometry
Logical argument and constructions
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| G.5.A | Investigate patterns to conjecture geometric relationships | Geometry and Measurement — Find a regular polygon's exterior and interior angles, Find the interior angle sum of a polygon |
Proof and congruence
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| G.6.C | Congruence through rigid transformations | Coordinate Transformations — Proving congruence |
Similarity, proof, and trigonometry
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| G.7.A | Similarity through dilations | Coordinate Transformations — Proving similarity |
| G.9.A | Solving right triangles with trigonometric ratios | Complex Numbers — Interpreting angle sum diagrams |
| G.9.B | Special right triangles and Pythagorean triples | Trigonometric Functions — Finding special right triangle sides |
Circles
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| G.12.B | Arc length and circumference proportions | Trigonometric Functions — Computing arc length, Constructing unit circle arcs; Polar Coordinate Plane — Computing arc lengths from angles, Computing arc lengths from fractions, Finding angles from arc lengths |
| G.12.E | Equations of circles | Coordinate Geometry — Using the circle equation at the origin, Using the general circle equation |
Probability
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| G.13.C | Identify independence and joint probability | Probability in Data — Combining probabilities across cases, Finding probability of two related events, Identifying when events affect each other; Probability and Chance — Finding probability of two unrelated events |
| G.13.D | Conditional probability in context | Predicting with Probability — Applying Bayes' theorem; Probability in Data — Finding conditional probabilities from data, Judging how often a rule fails, Updating probabilities with new evidence; Probability and Chance — Finding probability given a condition |
| G.13.E | Apply independence in context | Probability in Data — Finding probabilities of multi-step outcomes |
Algebra II
Attributes of functions and their inverses
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| A2.2.B | Graphing and writing inverse functions | Introduction to Functions — Finding inverse functions; Equations and Curves — Graphing the square root function |
| A2.2.C | Functions and their inverses with domain restrictions | Equations and Curves — Evaluating squaring and square roots |
| A2.2.D | Verifying inverses using composition | Equations and Curves — Evaluating roots and inverse compositions |
Systems of equations and inequalities
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| A2.3.A | Formulating systems of equations | Equations and Curves — Building equations from intersections |
| A2.3.D | Reasonableness of linear-quadratic system solutions | Equations and Curves — Controlling the number of intersections |
| A2.3.E | Formulating systems of linear inequalities | Linear Systems — Writing inequality systems |
| A2.3.F | Solving systems of linear inequalities | Linear Systems — Classifying inequality solutions |
| A2.3.G | Solution sets of linear inequality systems | Linear Systems — Checking points in inequalities, Identifying inequality solutions |
Quadratic and square root functions, equations, and inequalities
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| A2.4.C | Transformations of the square root function | Equations and Curves — Applying reflections and equivalent stretches, Combining multiple transformations, Identifying transformed graphs, Shifting the square root graph, Stretching and reflecting root graphs, Transforming the square root graph, Writing transformations from constraints |
| A2.4.D | Converting quadratics to vertex form | Quadratics — Converting to vertex form, Finding the vertex |
| A2.4.F | Solving quadratic and square root equations | Complex Numbers — Solving equations with complex solutions; Quadratics — Solving with imaginary numbers |
Exponential and logarithmic functions and equations
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| A2.5.C | Converting between exponential and logarithmic form | Logarithms — Convert between exponential and logarithmic form, Evaluate a logarithm exactly |
| A2.5.D | Solving exponential and logarithmic equations | Logarithms — Find the exponent in an exponential equation |
| A2.5.E | Reasonableness of logarithmic equation solutions | Logarithms — Check solutions of logarithmic equations |
Cubic, cube root, absolute value and rational functions, equations, and inequalities
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| A2.6.G | Transformations of the reciprocal function | Equations and Curves — Applying shifts and stretches, Completing hyperbola equations, Finding equation parameters, Transforming hyperbola graphs |
| A2.6.K | Domain and range of rational functions | Equations and Curves — Determining domain and range, Finding hyperbola domain and range, Finding vertical asymptotes |
Number and algebraic methods
Data
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| A2.8.A | Choosing linear, quadratic, or exponential models | Visual Algebra — Identifying types of growth |
| A2.8.C | Predict and make decisions and critical judgments from a given set of data using linear, quadratic, and exponential models. | Exponential Functions — Compare exponential growth to linear growth, Compare exponential growth to quadratic growth |
Precalculus
Functions
Relations and geometric reasoning
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| P.3.D | Polar coordinates and conversions | Polar Coordinate Plane — Computing angles with inverse tangent, Computing x and y from polar, Converting to polar coordinates, Locating points from coordinates, Plotting points using radians, Plotting polar points, Plotting polar points on x-y grids, Reading polar coordinates |
| P.3.E | Graphing polar equations | Polar Coordinate Plane — Matching equations to polar graphs |
| P.3.H | Writing equations of ellipses | Equations and Curves — Writing circle and ellipse equations |
Number and measure
Algebraic reasoning
How this page is built
Every skill in Brilliant's math skill hierarchy is mapped to the single student expectation it aligns with most closely, using the Texas Essential Knowledge and Skills for Mathematics, 19 TAC Chapter 111 as the authority for what each student expectation requires and where its boundaries fall. Skills that build toward a student expectation without teaching its stated content are excluded, so a skill appears here only where it addresses the student expectation 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.
