Unit 6

Section A: Representing Situations of the Form and

• Lesson 1: Relationships between Quantities

  Let’s try to solve some new kinds of problems.

  • Lesson Activities
  • Practice Problems

• Lesson 2: Reasoning About Contexts with Tape Diagrams (Part 1)

  Let’s use tape diagrams to make sense of different kinds of stories.

  • Lesson Activities
  • Practice Problems

• Lesson 3: Reasoning About Contexts with Tape Diagrams (Part 2)

  Let’s see how equations can describe tape diagrams.

  • Lesson Activities
  • Practice Problems

• Lesson 4: Reasoning About Equations and Tape Diagrams (Part 1)

  Let’s see how tape diagrams can help us answer questions about unknown amounts in stories.

  • Lesson Activities
  • Practice Problems

• Lesson 5: Reasoning About Equations and Tape Diagrams (Part 2)

  Let’s use tape diagrams to help answer questions about situations where the equation has parentheses.

  • Lesson Activities
  • Practice Problems

• Lesson 6: Distinguishing between Two Types of Situations

  Let’s think about equations with and without parentheses and the kinds of situations they describe.

  • Lesson Activities
  • Practice Problems

Section B: Solving Equations of the Form and

• Lesson 7: Reasoning About Solving Equations (Part 1)

  Let’s see how a balanced hanger is like an equation and how moving its weights is like solving the equation.

  • Lesson Activities
  • Practice Problems

• Lesson 8: Reasoning About Solving Equations (Part 2)

  Let’s use hangers to understand two different ways of solving equations with parentheses.

  • Lesson Activities
  • Practice Problems

• Lesson 9: Dealing with Negative Numbers

  Let’s show that doing the same to each side works for negative numbers too.

  • Lesson Activities
  • Practice Problems

• Lesson 10: Different Options for Solving One Equation

  Let’s think about which way is easier when we solve equations with parentheses.

  • Lesson Activities
  • Practice Problems

• Lesson 11: Using Equations to Solve Problems

  Let’s use tape diagrams, equations, and reasoning to solve problems.

  • Lesson Activities
  • Practice Problems

• Lesson 12: Solving Problems About Percent Increase or Decrease

  Let’s use tape diagrams, equations, and reasoning to solve problems with negatives and percents.

  • Lesson Activities
  • Practice Problems

Section C: Inequalities

• Lesson 13: Reintroducing Inequalities

  Let’s work with inequalities.

  • Lesson Activities
  • Practice Problems

• Lesson 14: Finding Solutions to Inequalities in Context

  Let’s solve more complicated inequalities.

  • Lesson Activities
  • Practice Problems

• Lesson 15: Efficiently Solving Inequalities

  Let’s solve more complicated inequalities.

  • Lesson Activities
  • Practice Problems

• Lesson 16: Interpreting Inequalities

  Let’s write inequalities.

  • Lesson Activities
  • Practice Problems

• Lesson 17: Modeling with Inequalities

  Let’s look at solutions to inequalities.

  • Lesson Activities
  • Practice Problems

Section D: Writing Equivalent Expressions

• Lesson 18: Subtraction in Equivalent Expressions

  Let’s find ways to work with subtraction in expressions.

  • Lesson Activities
  • Practice Problems

• Lesson 19: Expanding and Factoring

  Let’s use the distributive property to write expressions in different ways.

  • Lesson Activities
  • Practice Problems

• Lesson 20: Combining Like Terms (Part 1)

  Let’s see how we can tell that expressions are equivalent.

  • Lesson Activities
  • Practice Problems

• Lesson 21: Combining Like Terms (Part 2)

  Let’s see how to use properties correctly to write equivalent expressions.

  • Lesson Activities
  • Practice Problems

• Lesson 22: Combining Like Terms (Part 3)

  Let’s see how we can combine terms in an expression to write it with less terms.

  • Lesson Activities
  • Practice Problems

Section E: Let’s Put It to Work

• Optional

  Lesson 23: Applications of Expressions

  • Let’s use expressions to solve problems.

  • Lesson Activities