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

7.2A: The student applies mathematical process standards to represent and use rational numbers in a variety of forms. The student is expected to extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of rational numbers

7.3A: add, subtract, multiply, and divide rational numbers fluently

7.4D: solve problems involving ratios, rates, and percents, including multi-step problems involving percent increase and percent decrease, and financial literacy problems

7.4B: calculate unit rates from rates in mathematical and real-world problems

7.4E: convert between measurement systems, including the use of proportions and the use of unit rates

7.13A: calculate the sales tax for a given purchase and calculate income tax for earned wages

7.13F: analyze and compare monetary incentives, including sales, rebates, and coupons

7.6I: determine experimental and theoretical probabilities related to simple and compound events using data and sample spaces

7.6H: solve problems using qualitative and quantitative predictions and comparisons from simple experiments

7.6A: represent sample spaces for simple and compound events using lists and tree diagrams

7.6B: select and use different simulations to represent simple and compound events with and without technology

7.6C: make predictions and determine solutions using experimental data for simple and compound events

7.6D: make predictions and determine solutions using theoretical probability for simple and compound events

7.6E: find the probabilities of a simple event and its complement and describe the relationship between the two

7.6F: use data from a random sample to make inferences about a population

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

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

7.11A: model and solve one-variable, two-step equations and inequalities

7.4C: determine the constant of proportionality (k = y/x) within mathematical and real-world problems

7.10A: write one-variable, two-step equations and inequalities to represent constraints or conditions within problems

7.10B: represent solutions for one-variable, two-step equations and inequalities on number lines

7.10C: write a corresponding real-world problem given a one-variable, two-step equation or inequality

7.11B: determine if the given value(s) make(s) one-variable, two-step equations and inequalities true

7.6G: solve problems using data represented in bar graphs, dot plots, and circle graphs, including part-to-whole and part-to-part comparisons and equivalents

7.12A: compare two groups of numeric data using comparative dot plots or box plots by comparing their shapes, centers, and spreads

7.12B: use data from a random sample to make inferences about a population

7.12C: compare two populations based on data in random samples from these populations, including informal comparative inferences about differences between the two populations

7.5C: solve mathematical and real-world problems involving similar shape and scale drawings

7.5A: generalize the critical attributes of similarity, including ratios within and between similar shapes

7.9B: determine the circumference and area of circles

7.9C: determine the area of composite figures containing combinations of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles

7.5B: describe π as the ratio of the circumference of a circle to its diameter

7.8C: use models to determine the approximate formulas for the circumference and area of a circle and connect the models to the actual formulas

7.11C: write and solve equations using geometry concepts, including the sum of the angles in a triangle, and angle relationships

7.9D: 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

7.9A: solve problems involving the volume of rectangular prisms, triangular prisms, rectangular pyramids, and triangular pyramids

7.8A: 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

7.8B: 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

7.13B: identify the components of a personal budget, including income; planned savings for college, retirement, and emergencies; taxes; and fixed and variable expenses, and calculate what percentage each category comprises of the total budget