Expressions, Equations, and Inequalities

• 7.6 Unit Overview

• Pre-Unit

• 7.6 Readiness Check

• Section 1: Equations and Tape Diagrams

  Students use tape diagrams to represent equations and situations in context and to determine unknown values. This builds on students’ work with tape diagrams in Grade 7, Unit 4 and with determining unknown values in equations in Grade 7, Unit 5.

• Toothpicks and Tiles
• Smudged Receipts
• Equations
• Seeing Structure

• Section 2: Solving Equations

  Students learn how to solve equations of the form `px+q=r` and `p(x+q)=r` in and out of context. They also rewrite expressions using fewer terms by adding, expanding, and factoring, which can help make complex equations look more familiar before solving. This section builds on work from Grade 6 with solving one-step equations.

• Balancing Moves
• Balancing Equations
• Keeping It True
• Factoring and Expanding
• Always-Equal Machines
• Collect the Squares
• Equation Roundtable
• Community Day
• 7.6 Practice Day 1
• 7.6 Quiz

• Section 3: Inequalities

  Students use what they have learned about solving equations to solve inequalities that represent situations in and out of context. They also create graphs that represent solutions to inequalities, including those with `\ge` or `\le`.

• I Saw the Signs
• Unbalanced Hangers
• Budgeting
• Shira the Sheep
• Write Them and Solve Them
• 7.6 Practice Day 2

• End-Unit

• 7.6 End Assessments
• Reflection and Synthesis

• Resources

• 7.6 Practice Sets
• 7.6 Cool-Downs