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Explanation: Unit 2, Lesson 1

(20 – 25 minutes)

Student-Centered Learning Option

7.10B and 7.11A SOLVING TWO-STEP EQUATIONS

  • Allow time for students to read the Tell Me More… section on page 78 and the stepped-out examples on pages 79-81.
  • Have students try the You Try It! problem on page 79.
  • As needed, support student reasoning and productive struggle through questioning (see below).
  • Bring students back together as a whole group to debrief the content and examples.

Explicit Instruction Option

7.10B and 7.11A SOLVING TWO-STEP EQUATIONS

  • Read the Tell Me More…  section on page 78.
  • Work through each example. If necessary, use the provided steps.
  • Guide students to try the corresponding You Try It! problem on page 79.

Instructional Hints

  • Emphasize the connections between a concrete model (cups and counters), pictorial model (strip diagram), and properties of operations that justify the steps taken to solve an equation.
  • The additive inverse allows you to add the opposite of a number to generate 0. Adding 0 to any side of the equation does not change its value.
  • The multiplicative inverse allows you to divide any number by itself and get 1. Multiplying by 1 on any side of the equation does not change its value.

Questioning Strategies

  • Clarifying Question(s)
    • What does the problem ask?
    • Can you explain that in a different way?
  • Focusing Question(s)
    • What is this problem about?
  • Advancing Question(s) [ask and walk away]
    • What would you need to add to or subtract from both sides of the equation to make the addend 0?
    • What would you need to multiply or divide both sides of the equation by to make the coefficient 1?
  • Assessing Question(s)
    • How do you know your answer is correct?

Assessment Strategies

Formative Assessment

  • Assign the Practice questions to students. Use student responses to gauge their proficiency with the content. 
  • Use the Additional Questions as needed.
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