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

Lesson 8.38.3 Small Group · Group 2

Group 2 · Set BSecond challenge form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
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Learning target I can solve one-step multiplication and division equations using inverse operations, explain why the method works, and use it on a problem I have not seen before.

Remember8.3 Small Group · Group 2

Undo multiplying by dividing and undo dividing by multiplying, even with decimals, then check that the size of the answer fits the story. The same inverse steps work when the numbers are decimals. Check that the answer makes sense.

Words: Inverse operation (Operación inversa)Multiply (Multiplicar)Divide (Dividir)Isolate (Despejar)Coefficient (Coeficiente)

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

    A ribbon is cut into 8 equal pieces. Each piece is 1.5 feet long. Write and solve an equation to find the length r of the whole ribbon.

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

    Solve 0.25x = 7.

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

    A runner ran 4.5 miles in 0.75 hours at the same speed. Write and solve an equation for her speed s in miles per hour.

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

    A pack of 6 pens costs $4.50. A pack of 10 pens costs $7.20. Write and solve an equation for each pack. What is the lower price for one pen?

    Show your work
    Final answer:

Explain your thinkingWhen does dividing give a greater answer, and when does multiplying give a smaller one? Use 0.5x = 9 or y ÷ 0.4 = 15.

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