Peer Review

Peer Review

Critique

Opening

Critique

Review your work on the Self Check problem and think about these questions:

  • What does x represent?
  • How else could you write the expression 4(x + 7)?
  • How do you write 1 more than x using algebra?
  • How can you check whether your value for x is correct?

Math Mission

Opening

Apply what you know about writing expressions and equations and using them to solve problems.

What Is the Number?

Work Time

What Is the Number?

Use what you learned from the Self Check problem to approach this similar task. Work with your partner.

I am thinking of a number. When I add 8 and then multiply by 3, the result is 66. What is my number?

  • Which of the equations represent this problem? Select all that apply, and justify your choices.

x + 24 = 663

x + 24 = 66

3x + 8 = 66

3(x + 8) = 66

  • For each equation that you identified, find the value of x and explain what it represents.

Three Consecutive Numbers

Work Time

Three Consecutive Numbers

Suppose three consecutive numbers are added together, and the sum is then multiplied by 3.

  • Which of the following expressions represent this situation? Select all that apply, and justify your choices.

3x + 3x + 1 + 3x + 2

3x + 3(x + 1) + 3(x + 2)

3x + 3x + 3 + 3x + 6

x + x + 3 + x + 6

  • The total is 162. What are the three consecutive numbers? Explain your answer.

Figure and Expressions

Work Time

Figure and Expressions

  • Which figure(s) do not represent the expression 4x + 4?
  • Explain your answer.

Make Connections

Performance Task

Ways of Thinking: Make Connections

Take notes about the approaches your classmates used to write expressions and equations to represent and solve the problems.

Hint:

As your classmates present, ask questions such as:

  • How did you organize your work?
  • In solving the problems, did you ever choose a strategy that was unproductive? If so, what did you do?

Reflect On Your Work

Work Time

Reflection

Write a reflection about the ideas discussed in class today. Use the sentence starter below if you find it to be helpful.

Something I have learned that has really helped me to solve equations is …