Grade 6 Mathematics · Unit 8: Equations & InequalitiesStandard 6.AT.8

Lesson 8.78.7 Small Group · Group 1

Group 1 · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
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Learning target With my small group, I can model and solve real-world problems using equations and inequalities — one step at a time, with support.

Remember8.7 Small Group · Group 1

Look for an exact amount to write an equation or a limit to write an inequality, then solve and check that the answer makes sense. Use an equation when there is one exact amount. Use an inequality when there is a limit.

Words: Model (Modelar)Equation (Ecuación)Inequality (Desigualdad)Reasonableness (Razonabilidad)Variable (Variable)

  1. 1Complete each step, then write the final answer.

    A total divided equally among 3 friends gave each friend $15. What was the total?

    Show your work

    Hint Write t ÷ 3 = 15. Multiply both sides by 3.

    Final answer:
  2. 2Complete each step, then write the final answer.

    A total divided equally among 7 people gave each person $11. What was the total?

    Show your work

    Hint Write t ÷ 7 = 11. Multiply both sides by 7.

    Final answer:
  3. 3Complete each step, then write the final answer.

    A suitcase can weigh at most 50 pounds. It has 34 pounds of clothes in it. Write and solve a model. How many more pounds can you add at most?

    Show your work

    Hint "At most" is a limit. Write 34 + w ≤ 50.

    Final answer:
  4. 4Complete each step, then write the final answer.

    Movie tickets cost $9 each. Ana has $50. Write and solve a model. What is the greatest number of tickets she can buy?

    Show your work

    Hint She cannot spend more than $50. Write 9t ≤ 50. Then think about whole tickets.

    Final answer:

Explain your thinkingHow do the words in a story tell you to use an equation or an inequality? Give one example of each.

Sentence starter I use an equation when ___. · I use an inequality when the words say ___.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help