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

Lesson 9.49.4 Catch-Up

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can show I am caught up on Lesson 9.4 by using the lesson's big idea in mixed practice.

Why This Matters Missed a lesson — or just want a refresher? This catch-up station reviews Lesson 9.4: 9.4 Apply Two-Variable Relationships to Solve Problems. Work one example from each lesson, then prove you're caught up in the mixed practice.

Start hereWords for this lesson

Read each word before you begin. Say it out loud.

WordWhat it meansExample
solutionSpanish: solución A value of the variable that makes an equation true. the number you solve for
substituteSpanish: sustituir To replace a variable with a number so you can compute. put 8 in for x
at leastSpanish: al menos That amount or more — the smallest amount that still works. “At least $500” means $500 counts, and so does anything more.
predictSpanish: predecir To make a reasonable guess about a future amount using information you already have. We measured up to 5 minutes → 6,000 feet. Reach PAST what was measured: 6 minutes should be about 7,200.
justifySpanish: justificar To explain WHY an answer or recommendation makes sense, using the mathematics. “35 cars at $14.30 raises $500.50, which clears the $500 goal.”
equationSpanish: ecuación A math sentence with an equals sign. c = 4n

How it worksWorked example

These numbers are not on your problems. The steps are. Follow them with your own numbers.

A bakery makes 24 rolls each hour: r = 24h. Is 5 hours enough for 150 rolls?

  1. Substitute h = 5: r = 24 × 5 = 120 rolls.
  2. Compare: 120 < 150.

Answer: No, 5 hours makes only 120 rolls

Now you trySame steps, your turn

The steps are the same as the worked example. The numbers are yours. Do the work.

A machine fills 6 bottles every minute. How many minutes does it take to fill 84 bottles?

Answer:

Say it and write itSentence starters

Finish each sentence out loud with a partner. Then use them in your writing.

  • I let stand for and stand for .
  • My equation is , so I substitute for .
  • The solution is , which means in this situation.
  • This answer is reasonable because .

Word bank equationsubstitutesolutionratevariablemultiplypertotalreasonablecheckinputoutput

Watch out!A common mistake

Adding the rate instead of multiplying

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

Lesson 9.49.4 Catch-Up

Catch-UpSkill bridge

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

Learning target I can show I am caught up on Lesson 9.4 by using the lesson's big idea in mixed practice.

Why This Matters Missed a lesson — or just want a refresher? This catch-up station reviews Lesson 9.4: 9.4 Apply Two-Variable Relationships to Solve Problems. Work one example from each lesson, then prove you're caught up in the mixed practice.

  1. 1Complete each step, then write the final answer.
    Hours1?Toys896× ?× ?
    The machine makes 8 toys each hour.

    A machine makes 8 toys every hour. Let h = hours and t = toys. How many hours does it take to make 96 toys?

    Show your work

    Hint Solve 8h = 96. Divide both sides by 8.

    Final answer:
  2. 2Complete each step, then write the final answer.
    Bags1?Pounds2.550× ?× ?
    Each bag holds 2.5 pounds of apples.

    A farm puts 2.5 pounds of apples in each bag. Let b = bags and p = pounds. How many bags hold 50 pounds of apples?

    Show your work

    Hint Write p = 2.5b. Put in 50 for p. Then divide by 2.5.

    Final answer:
3-Point Exit Checklist: ☐ 1. Units & Labels Verified ☐ 2. Mathematical Reasoning Stated ☐ 3. Calculations Double-Checked
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help