8th Grade Math (Texas TEKS)

111.28(b)(1) Mathematical process standards

• 111.28(b)(1) Uses mathematical processes to acquire and demonstrate understanding of mathematics.
• 111.28(b)(1)(A) Apply mathematics to problems from everyday life, society, and the workplace.
• 111.28(b)(1)(B) Use a problem-solving model: analyze information, plan, solve, justify, and evaluate reasonableness.
• 111.28(b)(1)(C) Choose suitable tools and techniques, such as manipulatives, technology, mental math, and estimation.
• 111.28(b)(1)(D) Communicate ideas and reasoning using symbols, diagrams, graphs, and language.
• 111.28(b)(1)(E) Create and use representations to organize, record, and communicate mathematical ideas.
• 111.28(b)(1)(F) Analyze mathematical relationships to connect and communicate ideas.
• 111.28(b)(1)(G) Explain and justify ideas and arguments using precise mathematical language.

111.28(b)(2) Number and operations

• 111.28(b)(2) Represents and uses real numbers in multiple forms.
• 111.28(b)(2)(A) Use visual representations to describe relationships among sets of real numbers.
• 111.28(b)(2)(B) Approximate irrational numbers, including pi and square roots under 225, and plot them on number lines.
• 111.28(b)(2)(C) Convert between standard decimal notation and scientific notation.
• 111.28(b)(2)(D) Order real numbers arising from mathematical and real-world contexts.

111.28(b)(3) Proportionality

• 111.28(b)(3) Uses proportional relationships to describe dilations of shapes.
• 111.28(b)(3)(A) Show that corresponding sides of similar shapes, including dilations, are proportional.
• 111.28(b)(3)(B) Compare and contrast a shape and its dilations on a coordinate plane.
• 111.28(b)(3)(C) Use algebra to explain how a positive scale factor dilates two-dimensional figures centered at the origin.

111.28(b)(4) Proportionality

• 111.28(b)(4) Explains proportional and non-proportional relationships involving slope.
• 111.28(b)(4)(A) Use similar right triangles to show slope is the same between any two points on a line.
• 111.28(b)(4)(B) Graph proportional relationships, interpreting the unit rate as the line's slope.
• 111.28(b)(4)(C) Use tables or graphs to find rate of change, slope, and y-intercept in problems.

111.28(b)(5) Proportionality

• 111.28(b)(5) Uses proportional and non-proportional relationships to build foundational function concepts.
• 111.28(b)(5)(A) Represent linear proportional situations with tables, graphs, and equations of the form y = kx.
• 111.28(b)(5)(B) Represent linear non-proportional situations with tables, graphs, and equations of the form y = mx + b.
• 111.28(b)(5)(C) Distinguish graphed data that suggest a linear relationship from data that do not.
• 111.28(b)(5)(D) Use a trend line approximating linear bivariate data to make predictions.
• 111.28(b)(5)(E) Solve problems involving direct variation.
• 111.28(b)(5)(F) Tell apart proportional and non-proportional situations using tables, graphs, and equations.
• 111.28(b)(5)(G) Identify functions from ordered pairs, tables, mappings, and graphs.
• 111.28(b)(5)(H) Give examples of proportional and non-proportional functions from math and real life.
• 111.28(b)(5)(I) Write linear equations in slope-intercept form to model relationships from multiple representations.

111.28(b)(6) Expressions, equations, and relationships

• 111.28(b)(6) Connects geometric formulas to relationships between volumes and the Pythagorean theorem.
• 111.28(b)(6)(A) Describe the cylinder volume formula in terms of base area and height.
• 111.28(b)(6)(B) Model how cylinders and cones with congruent bases and heights are related in volume, and connect this to formulas.
• 111.28(b)(6)(C) Use models and diagrams to explain the Pythagorean theorem.

111.28(b)(7) Expressions, equations, and relationships

• 111.28(b)(7) Uses geometry to solve problems involving volume, surface area, and right triangles.
• 111.28(b)(7)(A) Solve volume problems involving cylinders, cones, and spheres.
• 111.28(b)(7)(B) Use surface area knowledge to connect formulas and solve problems for prisms and cylinders.
• 111.28(b)(7)(C) Apply the Pythagorean theorem and its converse to solve problems.
• 111.28(b)(7)(D) Find the distance between two points on a coordinate plane using the Pythagorean theorem.

111.28(b)(8) Expressions, equations, and relationships

• 111.28(b)(8) Uses one-variable equations or inequalities with variables on both sides to represent and solve problems.
• 111.28(b)(8)(A) Write such equations or inequalities with rational coefficients and constants to represent problems.
• 111.28(b)(8)(B) Write a real-world problem matching a one-variable equation or inequality with variables on both sides.
• 111.28(b)(8)(C) Model and solve such equations for mathematical and real-world problems with rational coefficients.
• 111.28(b)(8)(D) Use informal arguments to establish facts about triangle angles, parallel lines with transversals, and AA similarity.

111.28(b)(9) Expressions, equations, and relationships

• 111.28(b)(9) Identify and verify the x and y values that satisfy two linear equations using their graphed intersection.

111.28(b)(10) Two-dimensional shapes

• 111.28(b)(10) Develops transformational geometry concepts for two-dimensional shapes on a coordinate plane.
• 111.28(b)(10)(A) Generalize how rotations, reflections, translations, and dilations affect orientation and congruence.
• 111.28(b)(10)(B) Distinguish transformations that preserve congruence from those that do not.
• 111.28(b)(10)(C) Use algebra to explain translations, reflections over the x- or y-axis, and rotations of 90, 180, 270, or 360 degrees.
• 111.28(b)(10)(D) Model how dilations affect linear and area measurements of two-dimensional shapes.

111.28(b)(11) Measurement and data

• 111.28(b)(11) Uses statistical procedures to describe and analyze data.
• 111.28(b)(11)(A) Construct scatterplots and describe association in bivariate data as linear, non-linear, or none.
• 111.28(b)(11)(B) Calculate mean absolute deviation for data sets of no more than 10 points as average distance from the mean.
• 111.28(b)(11)(C) Simulate random samples of equal size from known populations to show samples represent the population.

111.28(b)(12) Personal financial literacy

• 111.28(b)(12) Develops economic thinking and problem solving as a knowledgeable consumer and investor.
• 111.28(b)(12)(A) Compare how interest rate and loan length affect the cost of credit.
• 111.28(b)(12)(B) Calculate total loan repayment costs under various rates and periods using an online calculator.
• 111.28(b)(12)(C) Explain how small regular investments, including college and retirement savings, grow over time.
• 111.28(b)(12)(D) Calculate and compare simple and compound interest earnings.
• 111.28(b)(12)(E) Identify advantages and disadvantages of different payment methods.
• 111.28(b)(12)(F) Analyze whether situations reflect financially responsible decisions and identify their benefits and costs.
• 111.28(b)(12)(G) Estimate two-year and four-year college costs, including family contribution, and plan periodic savings for the first year.