Grade 6 Mathematics · Unit 9: Relationships Between Two VariablesStandard 6.AT.11

Lesson 9.49.4 Small Group · Group 1

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

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target With my small group, I can write an equation to represent the relationship between two variable quantities and use it to solve a real problem — one step at a time, with support.

Remember9.4 Small Group · Group 1

Use the equation to answer a real question: substitute what you know, solve for what you do not know, and check that the answer fits the situation. Write an equation, put in the number you know, and solve. Then check if the answer makes sense.

Words: solution (solución)substitute (sustituir)at least (al menos)predict (predecir)justify (justificar)

  1. 1Complete each step, then write the final answer.
    Minutes1?Pages460× ?× ?
    The printer prints 4 pages each minute.

    A printer prints 4 pages every minute. Let m = minutes and p = pages. How many minutes does it take to print 60 pages?

    Show your work

    Hint Write 1 min → 4 pages. What times 4 makes 60? Do the same to 1 minute.

    Final answer:
  2. 2Complete each step, then write the final answer.
    Minutes1?Gallons4.590× ?× ?
    The pump moves 4.5 gallons each minute.

    A pump moves 4.5 gallons of water every minute. Let m = minutes and g = gallons. How many minutes does it take to move 90 gallons?

    Show your work

    Hint Write g = 4.5m. Put in 90 for g. Then divide both sides by 4.5.

    Final answer:
  3. 3Complete each step, then write the final answer.
    Hours1?Miles60210× ?× ?
    The train goes 60 miles each hour.

    A train travels 60 miles each hour. Let h = hours and d = distance in miles. How many hours does it take to travel 210 miles?

    Show your work

    Hint Write d = 60h. Put in 210 for d. Then divide both sides by 60.

    Final answer:
  4. 4Complete each step, then write the final answer.
    Minutes1?Pages12150× ?× ?
    25 copies of 6 pages is 150 pages.

    A printer prints 12 pages each minute. Mr. Diaz needs 25 copies of a 6-page packet. Let m = minutes. How many minutes will the printing take?

    Show your work

    Hint First find the total number of pages. Then solve 12m = total pages.

    Final answer:

Explain your thinkingThe bracelets needed 34, not 33.3. Kim could buy 6, not 6.7. When do you round up, and when do you round down?

Sentence starter I round up when ___. · I round down when ___.

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