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

Lesson 9.49.4 Small Group · Group 2

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

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

Learning target I can write an equation to represent the relationship between two variable quantities and use it to solve a real problem, explain what each part stands for, and build one for a situation I have not seen before.

Why This Matters This is your challenge small group for Lesson 9.4. You can already get the answer — so in here the answer is the starting point. We ask when the method holds, when it breaks, and how you would convince someone who disagrees.

Remember9.4 Small Group · Group 2

Solving the equation is not the last step: decide what the answer means, and round up or down so it fits the situation. Some problems start with an amount already there. Then you must undo the addition before you divide.

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

  1. 1Complete each step, then write the final answer.
    Tickets1?Cost$12$100× ?× ?
    Each ticket costs $12. Sam has $100.

    Movie tickets cost $12 each. Sam has $100. Let n = number of tickets. What is the greatest number of tickets Sam can buy?

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

    A pool has 300 gallons of water. A pump adds 25 gallons each minute. Let m = minutes. How many minutes until the pool has 1,000 gallons?

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

    A bus company charges a $50 fee plus $3 for each mile. A school has $400 to spend. What is the greatest number of whole miles the bus can go?

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

    Ms. Lee has $150. She must buy a $12 pump and 7 basketballs that all cost the same. Let p = price of one ball. What is the most each ball can cost, to the cent?

    Show your work
    Final answer:

Explain your thinkingThe magnets came out 38.75 and we rounded up. The boxes came out 26.25 and we rounded down. What in each situation told you which way to go?

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