Skills available for
Texas eighth-grade math standards
Standards
are in bold, followed by a list of the IXL math
skills that are aligned to that
standard.
Students can practice
these skills
online at www.ixl.com.
Standards: Texas Essential Knowledge and Skills (TEKS)
1 The student uses mathematical processes to acquire and demonstrate mathematical understanding.
A apply mathematics to problems arising in everyday life, society, and the workplace;
GCF and LCM: word problems (Eighth grade - A.7)
Add and subtract integers: word problems (Eighth grade - C.5)
Add and subtract rational numbers: word problems (Eighth grade - E.3)
Multiply and divide rational numbers: word problems (Eighth grade - E.6)
Equivalent ratios: word problems (Eighth grade - H.3)
Compare ratios: word problems (Eighth grade - H.4)
Do the ratios form a proportion: word problems (Eighth grade - H.7)
Solve proportions: word problems (Eighth grade - H.9)
Estimate population size using proportions (Eighth grade - H.10)
Scale drawings and scale factors (Eighth grade - H.13)
Find the constant of variation: word problems (Eighth grade - I.3)
Proportional relationships: word problems (Eighth grade - I.6)
Find what percent one number is of another: word problems (Eighth grade - J.4)
Percents of numbers: word problems (Eighth grade - J.7)
Percent of change: word problems (Eighth grade - J.11)
Price lists (Eighth grade - K.1)
Unit prices (Eighth grade - K.2)
Unit prices with unit conversions (Eighth grade - K.3)
Unit prices: find the total price (Eighth grade - K.4)
Percent of a number: tax, discount, and more (Eighth grade - K.5)
Find the percent: tax, discount, and more (Eighth grade - K.6)
Sale prices: find the original price (Eighth grade - K.7)
Multi-step problems with percents (Eighth grade - K.8)
Estimate tips (Eighth grade - K.9)
Simple interest (Eighth grade - K.10)
Compound interest (Eighth grade - K.11)
Convert rates and measurements: customary units (Eighth grade - L.1)
Convert rates and measurements: metric units (Eighth grade - L.2)
Mixed customary units (Eighth grade - L.3)
Convert between customary and metric systems (Eighth grade - L.4)
Convert between Celsius and Fahrenheit (Eighth grade - L.6)
Multi-step word problems (Eighth grade - M.1)
Guess-and-check word problems (Eighth grade - M.2)
Use Venn diagrams to solve problems (Eighth grade - M.3)
Elapsed time word problems (Eighth grade - M.4)
Coordinate graphs as maps (Eighth grade - P.3)
Area and perimeter: word problems (Eighth grade - Q.17)
Circles: word problems (Eighth grade - Q.21)
Linear function word problems (Eighth grade - V.14)
B use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;
Multi-step problems with percents (Eighth grade - K.8)
Multi-step word problems (Eighth grade - M.1)
Guess-and-check word problems (Eighth grade - M.2)
Use Venn diagrams to solve problems (Eighth grade - M.3)
Elapsed time word problems (Eighth grade - M.4)
Does x satisfy the equation? (Eighth grade - U.1)
Solve multi-step equations (Eighth grade - U.6)
Does (x, y) satisfy the linear equation? (Eighth grade - V.1)
Does (x, y) satisfy a nonlinear equation? (Eighth grade - W.2)
C select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;
Integer addition and subtraction rules (Eighth grade - C.1)
Add and subtract integers using counters (Eighth grade - C.2)
Add and subtract integers (Eighth grade - C.3)
Add and subtract three or more integers (Eighth grade - C.4)
Integer multiplication and division rules (Eighth grade - C.6)
Estimate positive and negative square roots (Eighth grade - F.15)
Estimate cube roots (Eighth grade - F.19)
Understanding ratios (Eighth grade - H.1)
Find what percent one number is of another (Eighth grade - J.3)
Estimate percents of numbers (Eighth grade - J.5)
Percents of numbers and money amounts (Eighth grade - J.6)
Solve percent equations (Eighth grade - J.9)
Model and solve equations using algebra tiles (Eighth grade - U.2)
Model polynomials with algebra tiles (Eighth grade - Z.2)
Add and subtract polynomials using algebra tiles (Eighth grade - Z.3)
Multiply polynomials using algebra tiles (Eighth grade - Z.11)
D communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;
Prime or composite (Eighth grade - A.3)
Classify numbers (Eighth grade - A.8)
Identify rational and irrational numbers (Eighth grade - D.1)
Write an equation for a proportional relationship (Eighth grade - I.5)
Proportional relationships: word problems (Eighth grade - I.6)
Write variable expressions for arithmetic sequences (Eighth grade - S.7)
Write variable expressions (Eighth grade - T.1)
Write variable expressions to represent diagrams (Eighth grade - T.2)
Write a rule for a function table (Eighth grade - V.16)
Identify linear and nonlinear functions (Eighth grade - W.1)
G display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.
Divisibility rules (Eighth grade - A.2)
Properties of addition and multiplication (Eighth grade - AA.1)
Distributive property (Eighth grade - AA.2)
Simplify variable expressions using properties (Eighth grade - AA.3)
Properties of equality (Eighth grade - AA.4)
2 The student applies mathematical process standards to represent and use real numbers in a variety of forms.
A extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of real numbers;
Classify numbers (Eighth grade - A.8)
B approximate the value of an irrational number, including π and square roots of numbers less than 225, and locate that rational number approximation on a number line;
Estimate positive and negative square roots (Eighth grade - F.15)
Circles, semicircles, and quarter circles (Eighth grade - Q.20)
Circles: word problems (Eighth grade - Q.21)
C convert between standard decimal notation and scientific notation; and
Convert between standard and scientific notation (Eighth grade - G.1)
Compare numbers written in scientific notation (Eighth grade - G.2)
Multiply numbers written in scientific notation (Eighth grade - G.3)
Divide numbers written in scientific notation (Eighth grade - G.4)
D order a set of real numbers arising from mathematical and real-world contexts.
Integers on number lines (Eighth grade - B.1)
Compare and order integers (Eighth grade - B.4)
Integer inequalities with absolute values (Eighth grade - B.5)
Compare rational numbers (Eighth grade - D.7)
Put rational numbers in order (Eighth grade - D.8)
Compare numbers written in scientific notation (Eighth grade - G.2)
Compare percents to fractions and decimals (Eighth grade - J.2)
Compare percents of numbers (Eighth grade - J.8)
3 The student applies mathematical process standards to use proportional relationships to describe dilations.
A generalize that the ratio of corresponding sides of similar shapes are proportional, including a shape and its dilation;
Similar and congruent figures (Eighth grade - Q.10)
Similar figures: side lengths and angle measures (Eighth grade - Q.11)
Similar solids (Eighth grade - Q.32)
Dilations: graph the image (Eighth grade - R.8)
Dilations: find the coordinates (Eighth grade - R.9)
B compare and contrast the attributes of a shape and its dilation(s) on a coordinate plane; and
Volume and surface area of similar solids (Eighth grade - Q.33)
Perimeter, area, and volume: changes in scale (Eighth grade - Q.34)
C use an algebraic representation to explain the effect of a given positive rational scale factor applied to two-dimensional figures on a coordinate plane with the origin as the center of dilation.
Scale drawings and scale factors (Eighth grade - H.13)
Dilations: graph the image (Eighth grade - R.8)
Dilations: find the coordinates (Eighth grade - R.9)
Dilations: scale factor and classification (Eighth grade - R.10)
4 The student applies mathematical process standards to explain proportional and non-proportional relationships involving slope.
A use similar right triangles to develop an understanding that slope, m, given as the rate comparing the change in y-values to the change in x-values, (y_{2} - y_{1})/ (x_{2} - x_{1}), is the same for any two points (x_{1}, y_{1}) and (x_{2}, y_{2}) on the same line;
Graph a line from an equation (Eighth grade - V.6)
Find the slope of a graph (Eighth grade - V.7)
Find slope from two points (Eighth grade - V.8)
Find slope from an equation (Eighth grade - V.10)
Graph a linear function (Eighth grade - V.12)
B graph proportional relationships, interpreting the unit rate as the slope of the line that models the relationship; and
Unit rates (Eighth grade - H.5)
Do the ratios form a proportion? (Eighth grade - H.6)
Do the ratios form a proportion: word problems (Eighth grade - H.7)
Solve proportions (Eighth grade - H.8)
Solve proportions: word problems (Eighth grade - H.9)
Find the constant of variation: graphs (Eighth grade - I.2)
Graph a proportional relationship (Eighth grade - I.4)
Proportional relationships: word problems (Eighth grade - I.6)
C use data from a table or graph to determine the rate of change or slope and y-intercept in mathematical and real-world problems.
Rate of change (Eighth grade - H.11)
Constant rate of change (Eighth grade - H.12)
Find the constant of variation: graphs (Eighth grade - I.2)
Find the slope of a graph (Eighth grade - V.7)
Find slope from two points (Eighth grade - V.8)
5 The student applies mathematical process standards to use proportional and non-proportional relationships to develop foundational concepts of functions.
A represent linear proportional situations with tables, graphs, and equations in the form of y = kx;
Write an equation for a proportional relationship (Eighth grade - I.5)
Proportional relationships: word problems (Eighth grade - I.6)
B represent linear non-proportional situations with tables, graphs, and equations in the form of y = mx + b, where b ≠ 0;
Does (x, y) satisfy the linear equation? (Eighth grade - V.1)
Evaluate a linear function (Eighth grade - V.2)
Complete a function table (Eighth grade - V.3)
Find points on a function graph (Eighth grade - V.4)
Graph a line from a function table (Eighth grade - V.5)
Graph a line from an equation (Eighth grade - V.6)
Linear function word problems (Eighth grade - V.14)
Write a rule for a function table (Eighth grade - V.16)
C contrast bivariate sets of data that suggest a linear relationship with bivariate sets of data that do not suggest a linear relationship from a graphical representation;
Scatter plots (Eighth grade - N.14)
D use a trend line that approximates the linear relationship between bivariate sets of data to make predictions;
Scatter plots: line of best fit (Algebra 1 - N.7)
E solve problems involving direct variation;
Rate of change (Eighth grade - H.11)
Constant rate of change (Eighth grade - H.12)
Find the constant of variation: word problems (Eighth grade - I.3)
Proportional relationships: word problems (Eighth grade - I.6)
F distinguish between proportional and non-proportional situations using tables, graphs, and equations in the form y = kx or y = mx + b, where b ≠ 0;
G identify functions using sets of ordered pairs, tables, mappings, and graphs;
Complete a function table (Eighth grade - V.3)
Find points on a function graph (Eighth grade - V.4)
Graph a line from a function table (Eighth grade - V.5)
H identify examples of proportional and non-proportional functions that arise from mathematical and real-world problems; and
Identify linear and nonlinear functions (Eighth grade - W.1)
I write an equation in the form y = mx + b to model a linear relationship between two quantities using verbal, numerical, tabular, and graphical representations.
Find the slope of a graph (Eighth grade - V.7)
Find slope from two points (Eighth grade - V.8)
Linear function word problems (Eighth grade - V.14)
Write a rule for a function table (Eighth grade - V.16)
Linear equations: solve for y (Algebra 1 - S.9)
6 The student applies mathematical process standards to develop mathematical relationships and make connections to geometric formulas.
A describe the volume formula V = Bh of a cylinder in terms of its base area and its height;
Volume of prisms and cylinders (Eighth grade - Q.29)
B model the relationship between the volume of a cylinder and a cone having both congruent bases and heights and connect that relationship to the formulas; and
C use models and diagrams to explain the Pythagorean theorem.
7 The student applies mathematical process standards to use geometry to solve problems.
A solve problems involving the volume of cylinders, cones, and spheres;
Volume of prisms and cylinders (Eighth grade - Q.29)
Volume of pyramids and cones (Eighth grade - Q.30)
Volume and surface area of spheres (Eighth grade - Q.31)
B use previous knowledge of surface area to make connections to the formulas for lateral and total surface area and determine solutions for problems involving rectangular prisms, triangular prisms, and cylinders;
Surface area of prisms and cylinders (Eighth grade - Q.27)
Surface area of pyramids and cones (Eighth grade - Q.28)
C use the Pythagorean Theorem and its converse to solve problems; and
Pythagorean theorem: find the length of the hypotenuse (Eighth grade - O.1)
Pythagorean theorem: find the missing leg length (Eighth grade - O.2)
Pythagorean theorem: find the perimeter (Eighth grade - O.3)
Pythagorean theorem: word problems (Eighth grade - O.4)
Converse of the Pythagorean theorem: is it a right triangle? (Eighth grade - O.5)
D determine the distance between two points on a coordinate plane using the Pythagorean Theorem.
Distance between two points (Eighth grade - P.4)
8 The student applies mathematical process standards to use one-variable equations or inequalities in problem situations.
A write one-variable equations or inequalities with variables on both sides that represent problems using rational number coefficients and constants;
Write a rule for a function table (Eighth grade - V.16)
B write a corresponding real-world problem when given a one-variable equation or inequality with variables on both sides of the equal sign using rational number coefficients and constants;
C model and solve one-variable equations with variables on both sides of the equal sign that represent mathematical and real-world problems using rational number coefficients and constants; and
Model and solve equations using algebra tiles (Eighth grade - U.2)
Write and solve equations that represent diagrams (Eighth grade - U.3)
Solve one-step linear equations (Eighth grade - U.4)
Solve two-step linear equations (Eighth grade - U.5)
Solve multi-step equations (Eighth grade - U.6)
Solve equations involving like terms (Eighth grade - U.7)
D use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.
9 The student applies mathematical process standards to use multiple representations to develop foundational concepts of simultaneous linear equations. The student is expected to identify and verify the values of x and y that simultaneously satisfy two linear equations in the form y = mx + b from the intersections of the graphed equations.
10.00 The student applies mathematical process standards to develop transformational geometry concepts.
A generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two-dimensional shapes on a coordinate plane;
Translations: graph the image (Eighth grade - R.2)
Reflections: graph the image (Eighth grade - R.4)
Rotations: graph the image (Eighth grade - R.6)
Dilations: graph the image (Eighth grade - R.8)
B differentiate between transformations that preserve congruence and those that do not;
Identify reflections, rotations, and translations (Eighth grade - R.1)
C explain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90°, 180°, 270°, and 360° as applied to two-dimensional shapes on a coordinate plane using an algebraic representation; and
Identify reflections, rotations, and translations (Eighth grade - R.1)
Translations: graph the image (Eighth grade - R.2)
Translations: find the coordinates (Eighth grade - R.3)
Reflections: graph the image (Eighth grade - R.4)
Reflections: find the coordinates (Eighth grade - R.5)
Rotations: graph the image (Eighth grade - R.6)
Rotations: find the coordinates (Eighth grade - R.7)
Dilations: graph the image (Eighth grade - R.8)
Dilations: find the coordinates (Eighth grade - R.9)
Dilations: scale factor and classification (Eighth grade - R.10)
D model the effect on linear and area measurements of dilated two-dimensional shapes.
Perimeter, area, and volume: changes in scale (Eighth grade - Q.34)
11 The student applies mathematical process standards to use statistical procedures to describe data.
A construct a scatterplot and describe the observed data to address questions of association such as linear, non-linear, and no association between bivariate data;
Scatter plots (Eighth grade - N.14)
B determine the mean absolute deviation and use this quantity as a measure of the average distance data are from the mean using a data set of no more than 10 data points; and
Mean absolute deviation (Algebra 1 - KK.4)
C simulate generating random samples of the same size from a population with known characteristics to develop the notion of a random sample being representative of the population from which it was selected.
12 The student applies mathematical process standards to develop an economic way of thinking and problem solving useful in one's life as a knowledgeable consumer and investor.
A solve real-world problems comparing how interest rate and loan length affect the cost of credit;
B calculate the total cost of repaying a loan, including credit cards and easy access loans, under various rates of interest and over different periods using an online calculator;
C explain how small amounts of money invested regularly, including money saved for college and retirement, grow over time;
D calculate and compare simple interest and compound interest earnings;
Simple interest (Eighth grade - K.10)
Compound interest (Eighth grade - K.11)
E identify and explain the advantages and disadvantages of different payment methods;
F analyze situations to determine if they represent financially responsible decisions and identify the benefits of financial responsibility and the costs of financial irresponsibility; and
G estimate the cost of a two-year and four-year college education, including family contribution, and devise a periodic savings plan for accumulating the money needed to contribute to the total cost of attendance for at least the first year of college.