Gizmos for Texas - Mathematics: 7th Grade (Essential Knowledge and Skills adopted 2012)

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.

7.1: : Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding.

7.1.A: : The student is expected to: apply mathematics to problems arising in everyday life, society, and the workplace;

7.1.B: : The student is expected to: 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;

7.1.C: : The student is expected to: 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;

7.1.D: : The student is expected to: communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;

7.1.E: : The student is expected to: create and use representations to organize, record, and communicate mathematical ideas;

7.1.F: : The student is expected to: analyze mathematical relationships to connect and communicate mathematical ideas; and

7.1.G: : The student is expected to: display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.

7.3: : Number and operations. The student applies mathematical process standards to add, subtract, multiply, and divide while solving problems and justifying solutions.

7.3.A: : The student is expected to: add, subtract, multiply, and divide rational numbers fluently; and

7.3.B: : The student is expected to: apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication, and division of rational numbers.

7.4: : Proportionality. The student applies mathematical process standards to represent and solve problems involving proportional relationships.

7.4.A: : The student is expected to: represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d = rt;

7.4.B: : The student is expected to: calculate unit rates from rates in mathematical and real-world problems;

7.4.C: : The student is expected to: determine the constant of proportionality (k = y/x) within mathematical and real-world problems;

7.4.D: : The student is expected to: solve problems involving ratios, rates, and percents, including multi-step problems involving percent increase and percent decrease, and financial literacy problems; and

7.4.E: : The student is expected to: convert between measurement systems, including the use of proportions and the use of unit rates.

7.5: : Proportionality. The student applies mathematical process standards to use geometry to describe or solve problems involving proportional relationships.

7.5.A: : The student is expected to: generalize the critical attributes of similarity, including ratios within and between similar shapes;

7.5.B: : The student is expected to: describe pi as the ratio of the circumference of a circle to its diameter; and

7.5.C: : The student is expected to: solve mathematical and real-world problems involving similar shape and scale drawings.

7.6: : Proportionality. The student applies mathematical process standards to use probability and statistics to describe or solve problems involving proportional relationships.

7.6.A: : The student is expected to: represent sample spaces for simple and compound events using lists and tree diagrams;

7.6.B: : The student is expected to: select and use different simulations to represent simple and compound events with and without technology;

7.6.C: : The student is expected to: make predictions and determine solutions using experimental data for simple and compound events;

7.6.D: : The student is expected to: make predictions and determine solutions using theoretical probability for simple and compound events;

7.6.E: : The student is expected to: find the probabilities of a simple event and its complement and describe the relationship between the two;

7.6.F: : The student is expected to: use data from a random sample to make inferences about a population;

7.6.G: : The student is expected to: solve problems using data represented in bar graphs, dot plots, and circle graphs, including part-to-whole and part-to-part comparisons and equivalents;

7.6.H: : The student is expected to: solve problems using qualitative and quantitative predictions and comparisons from simple experiments; and

7.6.I: : The student is expected to: determine experimental and theoretical probabilities related to simple and compound events using data and sample spaces.

7.7: : Expressions, equations, and relationships. The student applies mathematical process standards to represent linear relationships using multiple representations.

7.7.A: : The student is expected to: represent linear relationships using verbal descriptions, tables, graphs, and equations that simplify to the form y = mx + b.

7.8: : Expressions, equations, and relationships. The student applies mathematical process standards to develop geometric relationships with volume.

7.8.A: : The student is expected to: model the relationship between the volume of a rectangular prism and a rectangular pyramid having both congruent bases and heights and connect that relationship to the formulas;

7.8.B: : The student is expected to: explain verbally and symbolically the relationship between the volume of a triangular prism and a triangular pyramid having both congruent bases and heights and connect that relationship to the formulas; and

7.8.C: : The student is expected to: use models to determine the approximate formulas for the circumference and area of a circle and connect the models to the actual formulas.

7.9: : Expressions, equations, and relationships. The student applies mathematical process standards to solve geometric problems.

7.9.A: : The student is expected to: solve problems involving the volume of rectangular prisms, triangular prisms, rectangular pyramids, and triangular pyramids;

7.9.B: : The student is expected to: determine the circumference and area of circles;

7.9.C: : The student is expected to: determine the area of composite figures containing combinations of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles; and

7.9.D: : The student is expected to: solve problems involving the lateral and total surface area of a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid by determining the area of the shape's net.

7.10: : Expressions, equations, and relationships. The student applies mathematical process standards to use one-variable equations and inequalities to represent situations.

7.10.A: : The student is expected to: write one-variable, two-step equations and inequalities to represent constraints or conditions within problems;

7.10.B: : The student is expected to: represent solutions for one-variable, two-step equations and inequalities on number lines.

7.11: : Expressions, equations, and relationships. The student applies mathematical process standards to solve one-variable equations and inequalities.

7.11.A: : The student is expected to: model and solve one-variable, two-step equations and inequalities;

7.11.B: : The student is expected to: determine if the given value(s) make(s) one-variable, two-step equations and inequalities true; and

7.11.C: : The student is expected to: write and solve equations using geometry concepts, including the sum of the angles in a triangle, and angle relationships.

7.12: : Measurement and data. The student applies mathematical process standards to use statistical representations to analyze data.

7.12.A: : The student is expected to: compare two groups of numeric data using comparative dot plots or box plots by comparing their shapes, centers, and spreads;

7.12.B: : The student is expected to: use data from a random sample to make inferences about a population; and

7.12.C: : The student is expected to: compare two populations based on data in random samples from these populations, including informal comparative inferences about differences between the two populations.

7.13: : Personal financial literacy. 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.

7.13.E: : The student is expected to: calculate and compare simple interest and compound interest earnings; and

7.13.F: : The student is expected to: analyze and compare monetary incentives, including sales, rebates, and coupons.

Correlation last revised: 2/10/2025

Texas - Mathematics: 7th Grade

Essential Knowledge and Skills | Adopted: 2012