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Texas · Mathematics
Every math expectation in the Texas Essential Knowledge and Skills (TEKS) for Grade 6, Grade 7, Grade 8 and Algebra I, with the free StudyQuest lessons that teach it. So far 89 of 189 expectations have a lesson. Each one is listed, covered or not, so you can see the gaps as well as the matches.
How we tag: a lesson is listed only when it teaches the whole expectation. Where the TEKS say “including”, every item named is required, so a lesson that skips one is not listed. The mathematical process standards (6.1, 7.1, 8.1 and A.1) run through every lesson and are not listed separately. The descriptions are short summaries; the official wording is in 19 TAC Chapter 111 (§111.26–111.28 and §111.39, the 2012 standards in force today).
6.2(A)
Classify whole numbers, integers and rational numbers with a visual such as a Venn diagram.
No lesson yet
6.2(B)
Name a number, its opposite and its absolute value.
6.2(C)
Locate, compare and order integers and rational numbers on a number line.
6.2(D)
Order a set of rational numbers from math and real-world situations.
6.2(E)
Read a fraction a/b as the same number as a divided by b.
No lesson yet
6.3(A)
Recognize that dividing by a rational number equals multiplying by its reciprocal.
6.3(B)
Tell whether multiplying by a fraction makes a quantity larger or smaller.
No lesson yet
6.3(C)
Model integer operations with concrete objects and connect them to the algorithms.
No lesson yet
6.3(D)
Add, subtract, multiply and divide integers fluently.
6.3(E)
Multiply and divide positive rational numbers fluently.
6.4(A)
Compare rules y = ax and y = x + a to tell multiplicative from additive relationships.
No lesson yet
6.4(B)
Solve prediction and comparison problems with ratios and rates.
6.4(C)
Give examples of ratios comparing two quantities of the same kind.
6.4(D)
Give examples of rates comparing quantities of different kinds, including as quotients.
6.4(E)
Represent ratios and percents with models, fractions and decimals.
6.4(F)
Represent benchmark fractions and percents with grids, strip diagrams and number lines.
6.4(G)
Write equivalent fractions, decimals and percents in real-world problems, including money.
6.4(H)
Convert units within one measurement system using proportions and unit rates.
6.5(A)
Represent ratio and rate problems with scale factors, tables, graphs and proportions.
6.5(B)
Find the part, the whole or the percent in real-world percent problems.
No lesson yet
6.5(C)
Use equivalent fractions, decimals and percents to show equal parts of a whole.
No lesson yet
6.6(A)
Identify independent and dependent quantities in tables and graphs.
6.6(B)
Write an equation relating independent and dependent quantities from a table.
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6.6(C)
Represent a situation in words, tables, graphs and equations y = kx or y = x + b.
No lesson yet
6.7(A)
Write equivalent numerical expressions with order of operations, exponents and prime factors.
No lesson yet
6.7(B)
Tell expressions from equations in words, numbers and symbols.
6.7(C)
Decide whether two expressions are equivalent using models and algebra.
No lesson yet
6.7(D)
Write equivalent expressions with the inverse, identity, commutative, associative and distributive properties.
6.8(A)
Use triangle angle sums, side-angle relationships and when three lengths make a triangle.
No lesson yet
6.8(B)
Model area formulas for parallelograms, trapezoids and triangles by decomposing shapes.
6.8(C)
Write equations for area of quadrilaterals and triangles and volume of rectangular prisms.
No lesson yet
6.8(D)
Solve area problems for rectangles, parallelograms, trapezoids, triangles and prism volume.
6.9(A)
Write one-step equations and inequalities that represent constraints in problems.
No lesson yet
6.9(B)
Show solutions of one-step equations and inequalities on number lines.
6.9(C)
Write a real-world problem for a given one-step equation or inequality.
No lesson yet
6.10(A)
Model and solve one-step equations and inequalities, including geometry problems.
6.10(B)
Check whether given values make a one-step equation or inequality true.
6.11
Graph points with rational coordinates in all four quadrants.
6.12(A)
Display numeric data in dot plots, stem-and-leaf plots, histograms and box plots.
No lesson yet
6.12(B)
Describe the center, spread and shape of a data distribution from its graph.
6.12(C)
Summarize numeric data with mean, median, range and IQR to describe a distribution.
6.12(D)
Summarize categorical data with mode, relative frequency tables and percent bar graphs.
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6.13(A)
Interpret numeric data shown in dot plots, stem-and-leaf plots, histograms and box plots.
No lesson yet
6.13(B)
Tell situations that produce data with variability from those without.
6.14(A)
Compare features and costs of checking accounts and debit cards from local institutions.
No lesson yet
6.14(B)
Tell debit cards from credit cards.
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6.14(C)
Keep a check register with deposits, withdrawals and transfers.
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6.14(D)
Explain why a positive credit history matters.
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6.14(E)
Describe what a credit report contains and how long it is kept.
No lesson yet
6.14(F)
Describe why credit reports matter to borrowers and lenders.
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6.14(G)
Explain ways to pay for college: savings, grants, scholarships, loans and work-study.
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6.14(H)
Compare salaries for jobs with different training and their effect on lifetime income.
No lesson yet
7.2
Use a visual such as a Venn diagram to relate sets and subsets of rational numbers.
No lesson yet
7.3(A)
Add, subtract, multiply and divide rational numbers fluently.
7.3(B)
Solve problems with all four operations on rational numbers.
7.4(A)
Represent constant rates of change in many forms, including d = rt.
No lesson yet
7.4(B)
Calculate unit rates from rates in math and real-world problems.
7.4(C)
Find the constant of proportionality k = y/x in problems.
7.4(D)
Solve multi-step ratio, rate and percent problems, including percent change and finance.
No lesson yet
7.4(E)
Convert between measurement systems using proportions and unit rates.
7.5(A)
Describe what makes shapes similar, including ratios within and between similar shapes.
7.5(B)
Describe pi as the ratio of a circle’s circumference to its diameter.
No lesson yet
7.5(C)
Solve problems with similar shapes and scale drawings.
7.6(A)
Show sample spaces for simple and compound events with lists and tree diagrams.
7.6(B)
Use simulations, with and without technology, for simple and compound events.
No lesson yet
7.6(C)
Make predictions from experimental data for simple and compound events.
No lesson yet
7.6(D)
Make predictions from theoretical probability for simple and compound events.
No lesson yet
7.6(E)
Find the probability of an event and its complement and relate the two.
No lesson yet
7.6(F)
Use data from a random sample to make inferences about a population.
7.6(G)
Solve problems with data in bar graphs, dot plots and circle graphs.
No lesson yet
7.6(H)
Make predictions and comparisons from simple experiments.
No lesson yet
7.6(I)
Find experimental and theoretical probabilities of simple and compound events.
7.7
Represent linear relationships in words, tables, graphs and equations y = mx + b.
No lesson yet
7.8(A)
Model how a rectangular pyramid’s volume relates to a prism with the same base and height.
No lesson yet
7.8(B)
Explain how a triangular pyramid’s volume relates to a triangular prism’s.
No lesson yet
7.8(C)
Use models to find the formulas for a circle’s circumference and area.
No lesson yet
7.9(A)
Solve volume problems for rectangular and triangular prisms and pyramids.
No lesson yet
7.9(B)
Find the circumference and area of circles.
7.9(C)
Find areas of composite figures, including semicircles and quarter circles.
No lesson yet
7.9(D)
Find lateral and total surface area of prisms and pyramids from their nets.
No lesson yet
7.10(A)
Write two-step equations and inequalities that represent constraints in problems.
7.10(B)
Show solutions of two-step equations and inequalities on number lines.
No lesson yet
7.10(C)
Write a real-world problem for a given two-step equation or inequality.
No lesson yet
7.11(A)
Model and solve two-step equations and inequalities.
7.11(B)
Check whether given values make a two-step equation or inequality true.
No lesson yet
7.11(C)
Write and solve equations from geometry, including triangle angle sums and angle pairs.
No lesson yet
7.12(A)
Compare two groups of numeric data with dot plots or box plots.
7.12(B)
Use a random sample to make inferences about a population.
7.12(C)
Compare two populations from random samples, with informal inferences.
7.13(A)
Calculate sales tax on a purchase and income tax on wages.
No lesson yet
7.13(B)
Identify the parts of a personal budget and each category’s percent of the total.
No lesson yet
7.13(C)
Build a record of assets and liabilities and a net worth statement.
No lesson yet
7.13(D)
Use a family budget estimator to find the budget and wage a household needs.
No lesson yet
7.13(E)
Calculate and compare simple and compound interest earnings.
7.13(F)
Analyze and compare sales, rebates, coupons and other incentives.
No lesson yet
8.2(A)
Use a visual to relate sets and subsets of real numbers.
No lesson yet
8.2(B)
Approximate irrational numbers, including pi and square roots, and place them on a number line.
8.2(C)
Convert between standard decimal notation and scientific notation.
8.2(D)
Order a set of real numbers from math and real-world situations.
8.3(A)
Show that corresponding sides of similar shapes, including dilations, are proportional.
8.3(B)
Compare a shape and its dilations on the coordinate plane.
No lesson yet
8.3(C)
Use coordinates to explain a dilation by a positive scale factor about the origin.
8.4(A)
Use similar right triangles to show slope is the same for any two points on a line.
8.4(B)
Graph proportional relationships and read the unit rate as the slope.
8.4(C)
Find the rate of change and y-intercept from a table or graph.
8.5(A)
Represent proportional situations with tables, graphs and y = kx.
8.5(B)
Represent non-proportional linear situations with tables, graphs and y = mx + b.
8.5(C)
Tell bivariate data that suggests a linear relationship from data that does not.
8.5(D)
Use a trend line through bivariate data to make predictions.
8.5(E)
Solve problems involving direct variation.
No lesson yet
8.5(F)
Tell proportional from non-proportional situations in tables, graphs and equations.
8.5(G)
Identify functions from ordered pairs, tables, mappings and graphs.
No lesson yet
8.5(H)
Find examples of proportional and non-proportional functions in problems.
No lesson yet
8.5(I)
Write y = mx + b for a linear relationship from words, numbers, tables or graphs.
8.6(A)
Describe a cylinder’s volume V = Bh using its base area and height.
8.6(B)
Model how a cone’s volume relates to a cylinder with the same base and height.
8.6(C)
Use models and diagrams to explain the Pythagorean theorem.
8.7(A)
Solve volume problems for cylinders, cones and spheres.
8.7(B)
Find lateral and total surface area of prisms and cylinders.
No lesson yet
8.7(C)
Solve problems with the Pythagorean theorem and its converse.
8.7(D)
Find the distance between two points on a coordinate plane with the Pythagorean theorem.
8.8(A)
Write one-variable equations or inequalities with variables on both sides.
No lesson yet
8.8(B)
Write a real-world problem for an equation or inequality with variables on both sides.
No lesson yet
8.8(C)
Model and solve one-variable equations with variables on both sides.
8.8(D)
Argue informally about triangle angle sums, exterior angles, transversals and AA similarity.
No lesson yet
8.9
Find and check the point that satisfies two linear equations where their graphs meet.
8.10(A)
Describe how rotations, reflections, translations and dilations affect orientation and congruence.
8.10(B)
Tell transformations that keep congruence from those that do not.
8.10(C)
Use coordinate rules for translations, reflections over the axes and quarter-turn rotations.
8.10(D)
Model how a dilation changes lengths and areas.
No lesson yet
8.11(A)
Make a scatterplot and describe the association as linear, non-linear or none.
8.11(B)
Find the mean absolute deviation of a small data set and use it as a spread.
No lesson yet
8.11(C)
Simulate random samples to see how a random sample represents its population.
No lesson yet
8.12(A)
Compare how interest rate and loan length change the cost of credit.
No lesson yet
8.12(B)
Calculate the total cost of repaying loans and credit cards at different rates and terms.
No lesson yet
8.12(C)
Explain how small regular investments for college and retirement grow over time.
No lesson yet
8.12(D)
Calculate and compare simple and compound interest earnings.
8.12(E)
Explain the pros and cons of different payment methods.
No lesson yet
8.12(F)
Judge whether decisions are financially responsible and what irresponsibility costs.
No lesson yet
8.12(G)
Estimate two- and four-year college costs and plan savings toward the first year.
No lesson yet
A.2(A)
Find the domain and range of linear functions, including real-world ones, as inequalities.
A.2(B)
Write linear equations in slope-intercept, standard and point-slope form.
No lesson yet
A.2(C)
Write a linear equation from a table, a graph and a verbal description.
No lesson yet
A.2(D)
Write and solve direct variation equations.
No lesson yet
A.2(E)
Write the equation of a line through a point, parallel to a given line.
No lesson yet
A.2(F)
Write the equation of a line through a point, perpendicular to a given line.
No lesson yet
A.2(G)
Write lines parallel or perpendicular to the axes and tell zero from undefined slope.
No lesson yet
A.2(H)
Write linear inequalities in two variables from a table, a graph and a description.
No lesson yet
A.2(I)
Write systems of two linear equations from a table, a graph and a description.
No lesson yet
A.3(A)
Find slope from a table, a graph, two points and equations in several forms.
No lesson yet
A.3(B)
Calculate the rate of change of a linear function in context.
A.3(C)
Graph linear functions and identify intercepts, zeros and slope.
A.3(D)
Graph the solution set of a linear inequality in two variables.
A.3(E)
Describe how af(x), f(x) + d, f(x - c) and f(bx) transform f(x) = x.
No lesson yet
A.3(F)
Graph systems of two linear equations and find their solutions.
A.3(G)
Estimate solutions to real-world linear systems from a graph.
No lesson yet
A.3(H)
Graph the solution set of a system of two linear inequalities.
A.4(A)
Calculate the correlation coefficient with technology and interpret its strength.
No lesson yet
A.4(B)
Compare association and causation in real-world problems.
A.4(C)
Write linear functions that fit data and use them to predict.
A.5(A)
Solve one-variable linear equations, including distributing and variables on both sides.
A.5(B)
Solve one-variable linear inequalities, including distributing and variables on both sides.
No lesson yet
A.5(C)
Solve systems of two linear equations in two variables.
A.6(A)
Find the domain and range of quadratic functions as inequalities.
No lesson yet
A.6(B)
Write quadratics in vertex form from the vertex and a point, and convert to standard form.
No lesson yet
A.6(C)
Write quadratic functions from their real solutions and graphs.
No lesson yet
A.7(A)
Graph quadratics and identify intercepts, zeros, maximum or minimum, vertex and axis.
A.7(B)
Relate the linear factors of a quadratic expression to the zeros of its function.
A.7(C)
Describe how af(x), f(x) + d, f(x - c) and f(bx) transform f(x) = x².
No lesson yet
A.8(A)
Solve quadratic equations by factoring, square roots, completing the square and the formula.
A.8(B)
Fit quadratic functions to data with technology and use them to predict.
No lesson yet
A.9(A)
Find the domain and range of exponential functions f(x) = abˣ.
No lesson yet
A.9(B)
Interpret a and b in exponential functions f(x) = abˣ in context.
No lesson yet
A.9(C)
Write exponential functions for growth and decay situations.
No lesson yet
A.9(D)
Graph exponential growth and decay and identify the y-intercept and asymptote.
No lesson yet
A.9(E)
Fit exponential functions to data with technology and use them to predict.
No lesson yet
A.10(A)
Add and subtract polynomials of degree one and two.
A.10(B)
Multiply polynomials of degree one and two.
A.10(C)
Divide polynomials of degree one and two.
No lesson yet
A.10(D)
Rewrite degree one and two polynomials with the distributive property.
A.10(E)
Factor trinomials ax² + bx + c, including perfect square trinomials.
No lesson yet
A.10(F)
Recognize and factor a difference of two squares.
No lesson yet
A.11(A)
Simplify numerical radical expressions with square roots.
No lesson yet
A.11(B)
Simplify expressions with the laws of exponents, including rational exponents.
No lesson yet
A.12(A)
Decide whether a relation in words, a table, a graph or symbols is a function.
A.12(B)
Evaluate functions written in function notation.
A.12(C)
Find terms of arithmetic and geometric sequences given recursively.
No lesson yet
A.12(D)
Write the nth-term formula for arithmetic and geometric sequences.
No lesson yet
A.12(E)
Solve formulas and other literal equations for a given variable.
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