Unit 4

Section A: Puzzle Problems

• Lesson 1: Number Puzzles

  Let’s solve some puzzles!

  • Lesson Activities
  • Practice Problems

Section B: Linear Equations in One Variable

• Lesson 2: Keeping the Equation Balanced

  Let’s figure out unknown weights on balanced hangers.

  • Lesson Activities
  • Practice Problems

• Lesson 3: Balanced Moves

  Let’s rewrite equations while keeping the same solutions.

  • Lesson Activities
  • Practice Problems

• Lesson 4: More Balanced Moves

  Let’s rewrite some more equations while keeping the same solutions.

  • Lesson Activities
  • Practice Problems

• Lesson 5: Solving Any Linear Equation

  Let’s solve linear equations.

  • Lesson Activities
  • Practice Problems

• Lesson 6: Strategic Solving

  Let’s solve linear equations.

  • Lesson Activities
  • Practice Problems

• Lesson 7: All, Some, or No Solutions

  Let’s think about how many solutions an equation can have.

  • Lesson Activities
  • Practice Problems

• Lesson 8: How Many Solutions?

  Let’s solve equations with different numbers of solutions.

  • Lesson Activities
  • Practice Problems

• Lesson 9: When Are They the Same?

  Let’s use equations to think about situations.

  • Lesson Activities
  • Practice Problems

Section C: Systems of Linear Equations

• Lesson 10: On or Off the Line?

  Let’s interpret the meaning of points in a coordinate plane.

  • Lesson Activities
  • Practice Problems

• Lesson 11: On Both of the Lines

  Let’s use lines to think about situations.

  • Lesson Activities
  • Practice Problems

• Lesson 12: Systems of Equations

  Let’s learn what a system of equations is.

  • Lesson Activities
  • Practice Problems

• Lesson 13: Solving Systems of Equations

  Let’s solve systems of equations.

  • Lesson Activities
  • Practice Problems

• Lesson 14: Solving More Systems

  Let’s solve systems of equations.

  • Lesson Activities
  • Practice Problems

• Lesson 15: Writing Systems of Equations

  Let’s write systems of equations from real-world situations.

  • Lesson Activities
  • Practice Problems

Section D: Let’s Put It to Work

• Optional

  Lesson 16: Solving Problems with Systems of Equations

  Let’s solve some gnarly problems.

  • Lesson Activities

Section E: Linear Inequalities in One Variable

• Lesson 17: Representing Situations with Inequalities

  Let’s use inequalities to represent constraints in situations.

  • Lesson Activities
  • Practice Problems

• Lesson 18: Solutions to Inequalities in One Variable

  Let’s find and interpret solutions to inequalities in one variable.

  • Lesson Activities
  • Practice Problems

• Lesson 19: Writing and Solving Inequalities in One Variable

  Let’s solve problems by writing and solving inequalities in one variable.

  • Lesson Activities
  • Practice Problems

Section F: Linear Inequalities in Two Variables

• Lesson 20: Graphing Linear Inequalities in Two Variables (Part 1)

  Let’s find out how to use graphs to represent solutions to inequalities in two variables.

  • Lesson Activities
  • Practice Problems

• Lesson 21: Graphing Linear Inequalities in Two Variables (Part 2)

  Let’s write inequalities in two variables and make sense of the solutions by reasoning and by graphing.

  • Lesson Activities
  • Practice Problems

• Lesson 22: Solving Problems with Inequalities in Two Variables

  Let’s practice writing, interpreting, and graphing solutions to inequalities in two variables.

  • Lesson Activities
  • Practice Problems