Grade 6 Mathematics · Pre-UnitStandard 5.MD.C.5

Lesson 1.41.4 · Part II

Apply Day · Set BSecond form · new problems, same idea

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

Learning target I can construct an argument using equations, drawings, or words, and use volume to defend a recommendation.

Remember1.4 · Part II

Math Practices: Mathematical Arguments & Justification

  1. State a clear claim or conjecture supported by calculations
  2. Use accurate units and vocabulary (e.g. cubic units for volume)
  3. Test with counterexamples to verify that the rule holds true every time

Words: argument (argumento)conjecture (conjetura)counterexample (contraejemplo)volume (volumen)cubic unit (unidad cúbica)

  1. 1Complete each step, then write the final answer.
    3 in5 in2 in

    A box is 3 inches long, 2 inches wide, and 5 inches tall. What is its volume?

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

    A box is 9 inches long, 3 inches wide, and 12 inches tall. What is the total volume of 2 of these boxes?

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

    Pack A has 3 boxes, each 10 in by 2 in by 9 in. Pack B has 2 boxes, each 9 in by 4 in by 8 in. How many more cubic inches does Pack B hold?

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

    Tank A is 20 inches long, 10 inches wide, and 12 inches tall. Tank B is 15 inches long, 12 inches wide, and 14 inches tall. How many more cubic inches does the bigger tank hold?

    Show your work
    Final answer:
  5. 5Complete each step, then write the final answer.

    Box P is 2 in by 3 in by 10 in. Box Q has a 5 in by 6 in bottom. What is the shortest whole-inch height that makes Box Q hold more than Box P?

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

    A student claims: “Greater box volume ALWAYS means more cereal inside.” Which is the best counterexample?

    1. AA large box that costs more than a jumbo box
    2. BA jumbo box with more volume that is sold half-filled with air
    3. CTwo jumbo boxes that are easier to store than three large boxes
    4. DA box of a different cereal brand
    Show your work
  7. 7Circle the letter of the best answer. Show how you know.

    An egg muffin is about 60 calories. A plate holds 4 egg muffins. About how many calories are on the plate?

    1. AAbout 15
    2. BAbout 64
    3. CAbout 240
    4. DAbout 600
    Show your work
  8. 8Circle the letter of the best answer. Show how you know.

    A large cereal box is 8 in long, 3 in wide, and 10 in tall. What is its volume?

    1. A21 cubic inches
    2. B80 cubic inches
    3. C240 cubic inches
    4. D240 square inches
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  9. 9Circle the letter of the best answer. Show how you know.

    Each jumbo box holds 400 cubic inches. How much do TWO jumbo boxes hold?

    1. A200 cubic inches
    2. B402 cubic inches
    3. C800 cubic inches
    4. D4,000 cubic inches
    Show your work
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help