7th Grade Math (Texas TEKS)

111.27(b)(1) Mathematical process standards

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

111.27(b)(2) Number and operations

• 111.27(b)(2) Extend knowledge of sets and subsets with visual models to describe relationships among rational numbers.

111.27(b)(3) Number and operations

• 111.27(b)(3) Student adds, subtracts, multiplies, and divides to solve problems and justify solutions.
• 111.27(b)(3)(A) Add, subtract, multiply, and divide rational numbers fluently.
• 111.27(b)(3)(B) Apply and extend understanding of operations to solve problems with rational numbers.

111.27(b)(4) Proportionality

• 111.27(b)(4) Student represents and solves problems involving proportional relationships.
• 111.27(b)(4)(A) Represent constant rates of change in multiple ways, including d = rt.
• 111.27(b)(4)(B) Calculate unit rates from rates in mathematical and real-world problems.
• 111.27(b)(4)(C) Determine the constant of proportionality (k = y/x) within problems.
• 111.27(b)(4)(D) Solve ratio, rate, and percent problems, including multi-step percent change and financial literacy problems.
• 111.27(b)(4)(E) Convert between measurement systems using proportions and unit rates.

111.27(b)(5) Proportionality

• 111.27(b)(5) Student uses geometry to describe or solve problems involving proportional relationships.
• 111.27(b)(5)(A) Generalize similarity's critical attributes, including ratios within and between similar shapes.
• 111.27(b)(5)(B) Describe π as the ratio of a circle's circumference to its diameter.
• 111.27(b)(5)(C) Solve problems involving similar shapes and scale drawings.

111.27(b)(6) Proportionality

• 111.27(b)(6) Student uses probability and statistics to describe or solve problems involving proportional relationships.
• 111.27(b)(6)(A) Represent sample spaces for simple and compound events using lists and tree diagrams.
• 111.27(b)(6)(B) Select and use simulations for simple and compound events, with or without technology.
• 111.27(b)(6)(C) Make predictions using experimental data for simple and compound events.
• 111.27(b)(6)(D) Make predictions using theoretical probability for simple and compound events.
• 111.27(b)(6)(E) Find the probability of a simple event and its complement, and describe their relationship.
• 111.27(b)(6)(F) Use random sample data to make inferences about a population.
• 111.27(b)(6)(G) Solve problems using bar graphs, dot plots, and circle graphs, including part-to-whole and part-to-part comparisons.
• 111.27(b)(6)(H) Solve problems using qualitative and quantitative predictions from simple experiments.
• 111.27(b)(6)(I) Determine experimental and theoretical probabilities for simple and compound events using data and sample spaces.

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

• 111.27(b)(7) Represent linear relationships with words, tables, graphs, and equations that simplify to y = mx + b.

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

• 111.27(b)(8) Student develops geometric relationships involving volume.
• 111.27(b)(8)(A) Model how volumes of rectangular prisms and pyramids with congruent bases and heights relate, and connect to formulas.
• 111.27(b)(8)(B) Explain verbally and symbolically how volumes of triangular prisms and pyramids with congruent bases and heights relate.
• 111.27(b)(8)(C) Use models to approximate circle circumference and area formulas, and connect them to the actual formulas.

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

• 111.27(b)(9) Student solves geometric problems involving volume, circles, composite areas, and surface area.
• 111.27(b)(9)(A) Solve volume problems for rectangular and triangular prisms and pyramids.
• 111.27(b)(9)(B) Determine the circumference and area of circles.
• 111.27(b)(9)(C) Determine the area of composite figures made of polygons, semicircles, and quarter circles.
• 111.27(b)(9)(D) Solve lateral and total surface area problems by finding the area of a shape's net.

111.27(b)(10) Expressions, equations, and relationships

• 111.27(b)(10) Student uses one-variable equations and inequalities to represent situations.
• 111.27(b)(10)(A) Write one-variable, two-step equations and inequalities that represent constraints or conditions.
• 111.27(b)(10)(B) Represent solutions of one-variable, two-step equations and inequalities on number lines.
• 111.27(b)(10)(C) Write a corresponding real-world problem for a one-variable, two-step equation or inequality.

111.27(b)(11) Expressions, equations, and relationships

• 111.27(b)(11) Student solves one-variable equations and inequalities.
• 111.27(b)(11)(A) Model and solve one-variable, two-step equations and inequalities.
• 111.27(b)(11)(B) Determine whether given values make one-variable, two-step equations and inequalities true.
• 111.27(b)(11)(C) Write and solve equations using geometry concepts, including triangle angle sums and angle relationships.

111.27(b)(12) Measurement and data

• 111.27(b)(12) Student uses statistical representations to analyze data.
• 111.27(b)(12)(A) Compare two numeric data groups using dot plots or box plots by shape, center, and spread.
• 111.27(b)(12)(B) Use random sample data to make inferences about a population.
• 111.27(b)(12)(C) Compare two populations using random sample data and make informal comparative inferences.

111.27(b)(13) Personal financial literacy

• 111.27(b)(13) Student develops economic thinking and problem solving as a consumer and investor.
• 111.27(b)(13)(A) Calculate sales tax on purchases and income tax on earned wages.
• 111.27(b)(13)(B) Identify budget components and calculate each category's percentage of the total budget.
• 111.27(b)(13)(C) Create a financial assets and liabilities record and construct a net worth statement.
• 111.27(b)(13)(D) Use a family budget estimator to find minimum household budget and average hourly wage needed.
• 111.27(b)(13)(E) Calculate and compare simple and compound interest earnings.
• 111.27(b)(13)(F) Analyze and compare monetary incentives, such as sales, rebates, and coupons.