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.
Most codes below end in the expectation letter, as 6.4.H does. A few knowledge statements in Chapter 111 contain a single expectation with no letter at all — 6.11, 7.7 and 8.9 among them — and those are cited here exactly as the rule writes them, without a trailing letter.
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, Selecting correct fraction shapes, Shading fractions on divided shapes, Shading fractions with unequal parts, Spotting incorrect fraction shapes |
| 3.3.H | Comparing fractions with like numerators or denominators | Fractions — Comparing fractions with matching parts, Comparing same-denominator fractions, Comparing same-numerator fractions |
Grade 4
Number and operations
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| 4.3.C | Determining whether fractions are equivalent | Fractions — Reading equivalent fractions from shapes, Recognizing equivalent fractions visually, 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, Shading fraction products on shapes, Showing fraction multiples on shapes, Writing fraction multiples |
Algebraic reasoning
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| 5.4.G | Use concrete objects and pictorial models to develop the formulas for the volume of a rectangular prism, including the special form for a cube (V = l × w × h, V = s × s × s, and V = Bh). | Geometry and Measurement — Find volume as area of the base times height |
| 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 |
|---|---|---|
| 5.6.A | Recognize a cube with side length one unit as a unit cube (one cubic unit) and the volume of a 3-D figure as the number of unit cubes (n cubic units) needed to fill it with no gaps or overlaps if possible. | Geometry and Measurement — Compare volumes by slicing and rearranging |
| 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 |
Grade 6
Number and operations
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| 6.2.B | Numbers, opposites, and absolute value | Negative Numbers — Calculating absolute value of sums, Finding numbers at a given distance, Solving absolute value conditions |
| 6.2.C | Ordering rational numbers on a number line | Negative Numbers — Comparing positive and negative numbers, Locating numbers on the number line |
| 6.3.C | Modeling integer operations | Negative Numbers — Adding on the number line, Adding with signed tiles, Building numbers with tiles, Counting signed tile values, Subtracting on the number line, Subtracting with signed tiles |
| 6.3.D | Adding, subtracting, multiplying, and dividing integers | Negative Numbers — Adding positive and negative numbers, Calculating distance with subtraction, Subtracting positive and negative numbers |
| 6.3.E | Multiplying and dividing positive rational numbers | Fractions — Multiplying fractions, Showing fractions of fractions, Solving fraction multiplication equations |
Proportionality
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| 6.4.B | Solving prediction problems with ratios and rates | Proportional Reasoning — Adjusting ratios in mixtures Real-World Algebra — Scaling prices, Using a formula |
| 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 — 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 |
| 6.5.B | Solving part, whole, and percent problems | Percents — Calculating a percentage of a number, Finding the percentage from two numbers, Reversing a percentage calculation Real-World Algebra — Finding a percent of an amount |
Expressions, equations, and relationships
Measurement and data
Grade 7
Proportionality
Expressions, equations, and relationships
| TEKS | What the student expectation asks | Brilliant targeted skill |
|---|---|---|
| 7.8.A | Relate prism and pyramid volume | Geometry and Measurement — Use the one-third relationship for pyramids and cones |
| 7.9.B | Circumference and area of circles | Geometry and Measurement — Find circumference from radius or diameter |
| 7.9.C | Area of composite figures | Coordinate Geometry — Finding compound shape area |
| 7.9.D | Lateral and total surface area | Geometry and Measurement — Find surface area by adding face areas |
| 7.10.B | Represent solutions for one-variable, two-step equations and inequalities on number lines. | Linear Equations — Graphing compound inequalities |
| 7.11.A | Solving two-step equations and inequalities | Linear Equations — Combining like terms to solve, Combining negatives to solve, Dividing by negatives in inequalities, Finding missing values with negatives, Finding unknown values, Solving compound inequalities, Solving equations with parentheses, Solving for negative answers, Solving multi-step inequalities, Solving multi-step negative inequalities, Solving two-step equations, Solving with subtracted variables Solving Equations — Solving for boundary values, Solving grouped equations |
| 7.11.B | Checking solutions to two-step equations and inequalities | Linear Equations — Identifying inequality solutions |
| 7.11.C | Write and solve equations from angle relationships | Geometry and Measurement — Write an equation relating labeled angles |
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 | Limits — Building decimal approximations of a number Exponents and Radicals — Estimating non-perfect square roots |
| 8.2.C | Converting between scientific and decimal notation | Exponents and Radicals — Estimating magnitude with powers of ten, 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.B | Unit rate as slope of proportional graphs | Proportional Reasoning — Comparing proportional graphs |
| 8.4.C | Slope and y-intercept from tables and graphs | Linear Relationships — Calculating rates of change, Finding constant change, Finding starting values Visual Algebra — Describing steady growth, Identifying what each step adds |
| 8.5.C | Identifying linear patterns in bivariate data | Exploring Data Visually — Judging how strongly things relate Linear Relationships — Recognizing linear relationships |
| 8.5.D | Use a trend line that approximates the linear relationship between bivariate data to make predictions. | Exploring Data Visually — Identify and extend a trend on a line graph Proportional Reasoning — Predicting with a proportional model |
| 8.5.F | Distinguish between proportional and non-proportional situations using tables, graphs, and equations in the forms y = kx or y = mx + b (b ≠ 0). | Proportional Reasoning — Checking for proportionality Linear Relationships — Classify a relationship as linear and proportional |
| 8.5.I | Writing equations for linear relationships | 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 |
| 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 |
| 8.8.C | Solving equations with variables on both sides | Linear Equations — Classifying equations by solutions, Recognizing equations with many solutions, Recognizing equations with no solution, Solving with variables on both sides Solving Equations — Solving after combining, Solving one-step equations |
| 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 — 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 | Derivatives — Writing a tangent line equation Linear Relationships — Writing point-slope equations, Writing standard form equations |
| A1.2.C | Linear equations from tables, graphs, and descriptions | Introduction to Functions — 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 — Finding perpendicular slopes, Writing perpendicular line equations |
| A1.2.G | Write an equation of a line that is parallel or perpendicular to the x- or y-axis and determine whether the slope of the line is zero or undefined. | Linear Relationships — Slopes of horizontal and vertical lines |
| A1.2.H | Writing linear inequalities in two variables | Linear Systems — Writing inequality systems Linear Relationships — Writing linear inequalities |
| A1.2.I | Writing systems of two linear equations | Linear Systems — Set up a system from a scenario, Writing equations from constraints |
| A1.3.A | Determine the slope of a line given a table of values, a graph, two points on the line, and an equation written in various forms, including y = mx + b, Ax + By = C, and y − y₁ = m(x − x₁). | Linear Relationships — Computing slope |
| A1.3.B | Rate of change of linear functions | Derivatives — Comparing rates of change, Finding a constant rate of change, Finding average rate of change, Finding average velocity Quadratics — Understanding motion equations |
| A1.3.C | Graphing linear functions and key features | Linear Relationships — Graphing from point-slope form, Graphing lines from intercepts, Graphing lines from slope, Graphing real-world relationships, Interpreting intercepts Introduction to Functions — Plotting numeric functions |
| A1.3.D | Graphing linear inequalities in two variables | Linear Systems — Graphing inequality constraints Linear Relationships — Graphing linear inequalities Coordinate Plane — Reading solid and dashed boundaries, Shading regions for inequalities |
| A1.3.E | Determine the effects on the graph of the parent function f(x) = x when f(x) is replaced by af(x), f(x) + d, f(x − c), f(bx) for specific values of a, b, c, and d. | Introduction to Functions — Combining reflections and stretches, Reflecting functions across axes, Sliding Function Graphs, Stretching Function Graphs |
| A1.3.F | Graphing systems of linear equations | Linear Systems — Counting solutions to a system, Finding solutions by graphing, Solving systems by graphing Matrices — Solving systems graphically |
| A1.3.G | Estimate graphically the solutions to systems of two linear equations with two variables in real-world problems. | Linear Systems — Interpret the solution of a system in context |
| A1.3.H | Graphing systems of linear inequalities | Coordinate Plane — Combining two inequalities, Identifying strip regions Linear Systems — Graphing inequality solutions |
| A1.4.A | Calculate and interpret the correlation coefficient | Regression — Checking the groups inside data, Choosing the best predictor, Interpreting correlations in context, Measuring how well a model fits, Reading correlation from a scatter plot |
| A1.4.C | Fit linear functions to data and make predictions | Linear Relationships — Fit a line to data and predict Regression — Fitting a line to data, Modeling one subgroup at a time, Tuning a model to fit better |
| A1.5.A | Solve linear equations in one variable, including those requiring the distributive property and those with variables on both sides. | Linear Equations — Combining fractional terms, Solving equations by distributing, Solving equations by factoring, Solving equations with fractions, Solving with reciprocals Linear Relationships — Find the input that reaches a target value |
| 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, Substituting known values |
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 — Evaluating quadratic equations, Finding maximum and minimum values, Finding the axis of symmetry, Finding the best possible value, Finding the vertex, Finding vertices using symmetry, Graphing by factoring, Graphing parabolas from vertex form, Reading solutions from graphs Introduction to Functions — Reading continuous function 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 — Plotting points on parabolas |
| A1.8 | Solve, with and without technology, quadratic equations and evaluate the reasonableness of their solutions; formulate statistical relationships and evaluate their reasonableness based on real-world data. | Quadratics — Finding when objects arrive, Interpreting results in context |
| A1.8.A | Solving quadratic equations by multiple methods | Quadratics — Checking solutions by substitution, Classifying solution types, Completing squares with fractions, Determining number of solutions, Isolating squared variables, Solving by completing the square, Solving equations by factoring, Solving shifted square equations, Solving with square roots, Using the quadratic formula |
| A1.8.B | Write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems. | Quadratics — Writing equations for motion, Writing equations for real situations |
Exponential functions and equations
Number and algebraic methods
Geometry
Coordinate and transformational geometry
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 fractions |
| G.12.E | Equations of circles | Coordinate Geometry — Plotting shifted circles, 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 — 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, Combining cases into one probability, Judging how much evidence matters Probability in Data — Combining probabilities across cases, 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.A | Graphing parent functions and key attributes | Logarithms — Find the domain of a logarithmic function, Graph a logarithmic function Equations and Curves — Identifying symmetric points |
| 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 square roots of squares, Evaluating squaring and square roots Logarithms — Undo a logarithm or an exponential with its inverse |
| 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, Solving systems and unions of curves |
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 |
| 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.A | Transformations of exponential and logarithmic graphs | Logarithms — Convert between log bases graphically, Transform a log graph using identities |
| A2.5.C | Converting between exponential and logarithmic form | Logarithms — Convert between exponential and logarithmic form |
| 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.F | Solve absolute value linear inequalities. | Limits — Describing target intervals with inequalities, Writing intervals with absolute value |
| 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 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 | Regression — Choosing a model for curved data, Spotting nonlinear relationships, Transforming variables to straighten data Exponential Functions — Classify a relationship as linear or exponential Visual Algebra — Describing growth that speeds up, 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. | Regression — Interpreting model coefficients, Predicting from a model equation, Predicting from a regression line, Reading a model with several variables, Using categories in a model |
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 Vectors — Drawing vectors from polar form, Finding polar angles |
| 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.
