Unit 4

Section A: Equations in One Variable

• Lesson 1: Tape Diagrams and Equations

  Let’s see how tape diagrams and equations can show relationships between amounts.

  • Lesson Activities
  • Practice Problems

• Lesson 2: Truth and Equations

  Let’s use equations to represent stories and see what it means to solve equations.

  • Lesson Activities
  • Practice Problems

• Lesson 3: Staying in Balance

  Let’s use balanced hangers to help us solve equations.

  • Lesson Activities
  • Practice Problems

• Lesson 4: Practice Solving Equations and Representing Situations with Equations

  Let’s solve equations by doing the same to each side.

  • Lesson Activities
  • Practice Problems

• Lesson 5: A New Way to Interpret a over b

  Let’s investigate what a fraction means when the numerator and denominator are not whole numbers.

  • Lesson Activities
  • Practice Problems

Section B: Equal and Equivalent

• Lesson 6: Write Expressions Where Letters Stand for Numbers

  Let’s use expressions with variables to describe situations.

  • Lesson Activities
  • Practice Problems

• Lesson 7: Revisit Percentages

  Let’s use equations to find percentages.

  • Lesson Activities
  • Practice Problems

• Lesson 8: Equal and Equivalent

  Let’s use diagrams to figure out which expressions are equivalent and which are just sometimes equal.

  • Lesson Activities
  • Practice Problems

• Lesson 9: The Distributive Property (Part 1)

  Let’s use the distributive property to make calculating easier.

  • Lesson Activities
  • Practice Problems

• Lesson 10: The Distributive Property (Part 2)

  Let’s use rectangles to understand the distributive property with variables.

  • Lesson Activities
  • Practice Problems

Section C: Expressions with Exponents

• Lesson 11: Squares and Cubes

  Let’s investigate perfect squares and perfect cubes.

  • Lesson Activities
  • Practice Problems

• Lesson 12: Surface Area of a Cube

  Let’s write a formula to find the surface area of a cube.

  • Lesson Activities
  • Practice Problems

• Lesson 13: Meaning of Exponents

  Let’s see how exponents show repeated multiplication.

  • Lesson Activities
  • Practice Problems

• Lesson 14: Expressions with Exponents

  Let’s use the meaning of exponents to decide if equations are true.

  • Lesson Activities
  • Practice Problems

• Lesson 15: Evaluating Expressions with Exponents

  Let’s find the values of expressions with exponents.

  • Lesson Activities
  • Practice Problems

• Lesson 16: Equivalent Exponential Expressions

  Let’s investigate expressions with variables and exponents.

  • Lesson Activities
  • Practice Problems

Section D: Relationships Between Quantities

• Lesson 17: Two Related Quantities (Part 1)

  Let’s use equations and graphs to describe relationships with ratios.

  • Lesson Activities
  • Practice Problems

• Lesson 18: Two Related Quantities (Part 2)

  Let’s use equations and graphs to describe stories with constant speed.

  • Lesson Activities
  • Practice Problems

Section E: Let’s Put It to Work

• Optional

  Lesson 19: Tables, Equations, and Graphs, Oh My!

  • Let’s explore some equations from real-world situations.

  • Lesson Activities