Grade 6 Mathematics · Unit 10: Math Is...Standard MPP.3

Lesson 10.110.1 Small Group · Group 2

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can find applications of math outside of school — in professions like being a chef, in hobbies like gardening, and around my own house, explain why the method works, and use it on a problem I have not seen before.

Why This Matters This is your challenge small group for Lesson 10.1. 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.

Start hereWords for this lesson

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

WordWhat it meansExample
professionSpanish: profesión A job someone is trained to do, like chef, nurse, or carpenter. A chef prices a menu; a nurse measures a dose; a carpenter cuts to length.
inventorySpanish: inventario The supply of items a business keeps on hand, tracked by counting. The kitchen counts 40 lb of flour and 12 dozen eggs on hand.
portionSpanish: porción The measured amount of food served to one person. Each bowl of soup uses 2 cups of broth — one person's serving.
areaSpanish: área The amount of flat space a surface covers, measured in square units. A 4 ft by 2 ft planter covers 8 square feet of ground.
volumeSpanish: volumen The amount of space something fills, measured in cubic units. 4 ft × 2 ft × 1 ft of soil = 8 cubic feet.

How it worksWorked example

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

A chef expects 80 customers. 1 out of every 4 customers orders soup. Each bowl uses 2 cups of broth. How many cups of broth should the chef make?

  1. Find the scale factor from 4 customers to 80: 80 ÷ 4 = 20
  2. Multiply the soup orders by 20 too: 1 × 20 = 20
  3. Multiply the bowls by the cups per bowl: 20 × 2 = 40
  4. Check that the answer is reasonable: 80 × 2 = 160
  5. The chef should make 40 cups of broth.

Now you trySame steps, your turn

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

A planter is 4 feet long and 2 feet wide. The soil must be 1 foot deep. Find the area and the volume. Then compare them.

Answer:

Say it and write itSentence starters

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

Word bank professioninventoryportionareavolume

Watch out!A common mistake

Believing math only 'counts' when it happens in a classroom

Grade 6 Mathematics · Unit 10: Math Is...Standard MPP.3

Lesson 10.110.1 Small Group · Group 2

Group 2Challenge practice

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

Learning target I can find applications of math outside of school — in professions like being a chef, in hobbies like gardening, and around my own house, explain why the method works, and use it on a problem I have not seen before.

Why This Matters This is your challenge small group for Lesson 10.1. 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.

  1. 1Complete each step, then write the final answer.
    Customers3120Salads1?× ?× ?
    1 out of every 3 customers orders a salad.

    A chef expects 120 customers. 1 out of every 3 customers orders a salad. Each salad uses 2 tomatoes. How many tomatoes does the chef need?

    1. 1What do you multiply 3 customers by to get 120 customers?
    2. 2Multiply 1 salad by 40 too. How many salads?
    3. 3Each salad uses 2 tomatoes. How many tomatoes?
    4. 4Is 80 reasonable? Compare with all 120 customers ordering a salad.
    Final answer:
  2. 2Complete each step, then write the final answer.
    6 ft2 ft4 ft

    A garden bed is 6 feet long and 4 feet wide. The soil must be 2 feet deep. Soil costs $3 for each cubic foot. How much will the soil cost?

    1. 1What is the area of the bed?
    2. 2What is the volume of soil?
    3. 3What does the soil cost?
    4. 4Why do you multiply the volume by $3, not the area?
    Final answer:
  3. 3Complete each step, then write the final answer.
    Customers590Soup orders1?× ?× ?
    1 out of every 5 customers orders soup.

    A cafe expects 90 customers. 1 out of every 5 customers orders soup. Each bowl uses 3 cups of broth. How many cups of broth are needed?

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

    A planter is 8 feet long, 3 feet wide and 1.5 feet deep. How many cubic feet of soil fill it?

    Show your work
    Final answer:
  5. 5Complete each step, then write the final answer.
    Pizzas130Sales ($)14?Costs ($)5?× ?× ?
    One pizza sells for $14 and costs $5.

    A chef sells each pizza for $14. Each pizza costs $5 to make. The chef sells 30 pizzas. How much profit does the chef make?

    Show your work
    Final answer:
  6. 6Circle the letter of the best answer. Show how you know.

    A gardener has 60 cubic feet of soil. Planter A is 5 by 4 by 2 feet. Planter B is 6 by 3 by 3 feet. Can she fill both planters?

    1. ANo. Together they need 94 cubic feet.
    2. BYes. Each planter needs less than 60 cubic feet.
    3. CYes. Their areas add to 38 square feet.
    Show your work

Explain your thinkingReal plans take more than one step. In the salad problem, why must you find the part of the crowd first? How do you know your answer makes sense?

ChallengeWrite your own problem

Write a new word problem that uses this lesson's idea. Then solve it and show every step.

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