Self Check Review

Self Check Review

Critique

Opening

Critique

Review your work on the Self Check problem and think about the following questions.

  • What can you do to both sides of the equation to get x by itself on one side?
  • What property of equality can you use to solve the equation?
  • Substitute your solution back into the original equation. Do you get a true equation?
  • Can you think of a real-world situation about the height of something, the cost of something, or earning money?
  • Can you think of a proportional situation for the last equation?

Math Mission

Opening

Show what you know about solving equations and interpreting what they mean.

Revise and Extend Your Work

Work Time

Revise and Extend Your Work

Work with your partner to revise your work on the Self Check, based on the questions from the Opening and feedback from your partner or your teacher.

Self Check

For each equation do the following.

  • Solve the equation. Name the property of equality you use and show each step.
  • Then write and solve a word problem that each equation could represent.
    • x + 5 = 17
    • 4x = 22
    • x6=58

Solve the Equations

Work Time

Solve the Equations

For each equation do the following.

  • Solve the equation. Show all steps and write the property you use.
  • Then write a word problem that the equation could represent.
    1. 8 = x + 6.5
    2. 12x=8
    3. 47=x5

Prepare a Presentation

Work Time

Prepare a Presentation

  • Explain how you use the properties of equality to solve equations.
  • Support your explanations with your work.

Challenge Problem

  • Use the Inequality Number Line  to show all possible solutions to the inequality:
    3x + 7 > 10

INTERACTIVE: Representing Inequalities on a Number Line

Make Connections

Performance Task

Make Connections

Take notes about your classmates' approaches and the steps they used to solve each equation.

Hint:

As your classmates present, ask questions such as:

  • Why didn't you add 6.5 to both sides in the problem
    8 =x + 6.5?
  • Why did you multiply both sides of the equation by 2 in the problem 12 x = 8?
  • Why did you divide when you used the multiplication property of equality?

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 still would like to learn about equations and inequalities is …