Grade 6 Mathematics · Unit 10: Math Is...Standard MPP.7

Lesson 10.310.1–10.3 Catch-Up

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can show I am caught up on Lessons 10.1–10.3 by using each lesson's big idea in mixed practice.

Why This Matters Missed a lesson — or just want a refresher? This catch-up station reviews Lessons 10.1–10.3: 10.1 Math is Everywhere, 10.2 Math is Beauty, 10.3 Math is Playful. 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
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.
symmetricSpanish: simétrico Having two halves that match — one side is a mirror image of the other. A butterfly: the left wing is the mirror of the right.

How it worksWorked example

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

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

  1. Multiply length × width to find the area: 4 × 2 = 8
  2. Multiply by the depth to find the volume: 4 × 2 × 1 = 8
  3. The area is 8 square feet. The volume is 8 cubic feet of soil.
  4. The y-axis is a line of symmetry. A point is at (−3, 2). Where is its mirror point?
  5. Count how far the point is from the line: (−3, 2) → 3 units left
  6. Count the same distance on the other side: 3 units right → (3, 2)
  7. The mirror point is at (3, 2).
  8. Towers of 1, 2, and 3 discs take 1, 3, and 7 steps. How many steps does a 4-disc tower take?
  9. Find the rule from one row to the next: 1 × 2 + 1 = 3; 3 × 2 + 1 = 7
  10. Use the rule on 7 steps: 7 × 2 + 1 = 15
  11. A 4-disc tower takes 15 steps.

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 3 feet long, 2 feet wide, and 1 foot deep. How many cubic feet of soil fill it?

Answer:

Say it and write itSentence starters

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

Word bank professioninventoryportionareavolumesymmetric

Watch out!A common mistake

Doubling the previous number of steps but forgetting to add 1

Grade 6 Mathematics · Unit 10: Math Is...Standard MPP.7

Lesson 10.310.1–10.3 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 Lessons 10.1–10.3 by using each lesson's big idea in mixed practice.

Why This Matters Missed a lesson — or just want a refresher? This catch-up station reviews Lessons 10.1–10.3: 10.1 Math is Everywhere, 10.2 Math is Beauty, 10.3 Math is Playful. 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.
    Sandwiches110Cheese (slices)2?× ?× ?
    Each sandwich uses 2 slices of cheese.

    A chef makes 10 sandwiches. Each sandwich uses 2 slices of cheese. How many slices of cheese does the chef need?

    Show your work

    Hint Multiply the sandwiches by the slices in one sandwich.

    Final answer:
  2. 2Complete each step, then write the final answer.
    6 ft1 ft2 ft

    A planter is 6 feet long, 2 feet wide and 1 foot deep. How many cubic feet of soil fill it?

    Show your work

    Hint Multiply length × width × depth.

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

    The y-axis is a line of symmetry. A point is at (−4, 1). Its mirror point is at (?, 1). What is the missing number?

    Show your work

    Hint The point is 4 units left of the y-axis. Count 4 units to the right.

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

    A plant has 5 layers. Each layer has 2 leaves that are mirror images. How many leaves does the plant have?

    Show your work

    Hint Multiply the layers by the leaves in one layer.

    Final answer:
  5. 5Complete each step, then write the final answer.
    DiscsMoves
    23
    3?

    Use the rule “double, then add 1.” A 2-disc tower takes 3 moves. How many moves does a 3-disc tower take?

    Show your work

    Hint Double 3. Then add 1.

    Final answer:
  6. 6Complete each step, then write the final answer.

    Towers of 3 and 4 discs take 7 and 15 moves. How many moves does a 5-disc tower take?

    Show your work

    Hint Find the rule from 7 to 15. Use it on 15.

    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