7.6 Unit Overview

In this unit, students extend what they learned in Grade 6 about solving one-step equations to solve equations of the form `px+q=r` and `p(x+q)=r`, and equations that include expanding, factoring, or adding terms. Students also solve inequalities and graph their solutions on a number line.

By Amplify Classroom

Grades: 7th Grade

Subject: Math

Learning goals: Sub-Unit 1: Equations and Tape Diagrams (Lessons 1–4) • Use tape diagrams to represent equations and situations in context and to determine unknown values. • Analyze descriptions of situations in context using tape diagrams and equations to interpret the solution. Sub-Unit 2: Solving Equations (Lessons 5–12 + Practice Day + Quiz) • Solve equations of the form `px+q=r` and `p(x+q)=r` in real-world and mathematical problems. • Write equivalent expressions by adding, subtracting, expanding, and factoring. • Describe and use strategies for solving equivalent expressions that involve adding, subtracting, factoring, expanding, and reordering terms. Sub-Unit 3: Inequalities (Lessons 13–17 + Practice Day) • Solve inequalities of the form `px+q>r` and `px+q<r` that represent real-world and mathematical problems. • Create graphs that represent solutions to inequalities, including those with `\le` or `\ge`. • Analyze descriptions of situations in context to interpret the solution of inequalities.