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

Lesson 1.41.4 · Part II

Start hereWords, worked example, and sentence starters

Name Date Period

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

Start hereWords for this lesson

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

Word	What it means	Example
argumentSpanish: argumento	A chain of reasons — equations, drawings, or words — used to defend your thinking.	“Two jumbo boxes hold more, because 400 × 2 = 800 > 720.”
conjectureSpanish: conjetura	A mathematical statement you believe is true but have not yet proven.	“A bigger box ALWAYS holds more cereal” — believed, not yet proven.
counterexampleSpanish: contraejemplo	A single example that shows a statement is not always true.	One jumbo box sold half full of air breaks “bigger always holds more”.
volumeSpanish: volumen	The amount of space a solid figure takes up, measured in cubic units.	8 in × 3 in × 10 in = 240 cubic inches of cereal space.
cubic unitSpanish: unidad cúbica	A cube with edges 1 unit long — the unit used to measure volume.	One cube, 1 unit on every edge — the block volume is counted in.

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

Word bank argumentconjecturecounterexamplevolumecubic unit

Reporting volume without cubic units — saying the garden needs '48 feet' of soil, which is a length, or '48 square feet', which is an area.

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

Apply Day · Version ASupported practice

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.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help

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

Apply Day · Version BCore practice

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.

1Complete each step, then write the final answer.

Pack A has 4 boxes of 120 cubic inches. Pack B has 2 boxes of 200 cubic inches. Leo says Pack B holds more because its boxes are bigger. How many more cubic inches does Pack A hold?
Show your work
Final answer:
2Complete each step, then write the final answer.

Box C is 2 in by 3 in by 7 in. Box D is 3 in by 3 in by 5 in. How many more cubic inches does Box D hold?
Show your work
Final answer:
3Complete each step, then write the final answer.

A box is 7 inches long, 2 inches wide, and 10 inches tall. What is the total volume of 3 of these boxes?
Show your work
Final answer:

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help

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

Apply Day · ChallengeExtension

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.

1Complete each step, then write the final answer.

Zoe claims, “Two boxes always hold more than one box.” One big box is 10 in by 6 in by 10 in. Two small boxes are each 5 in by 4 in by 10 in. How many more cubic inches does the big box hold?
Show your work
Final answer:
2Complete each step, then write the final answer.

Box G is 5 in by 2 in by 12 in. Box H is 4 in by 4 in by 8 in. How many more cubic inches does Box H hold?
Show your work
Final answer:
3Circle the letter of the best answer. Show how you know.
Sam claims, “A taller fish tank always holds more water.” Which pair of tanks shows that Sam is wrong?
1. AA 20 in tall tank holds 2,000 cu in. A 10 in tall tank holds 3,000 cu in.
2. BA 20 in tall tank holds 2,000 cu in. A 15 in tall tank holds 1,500 cu in.
3. CTwo tanks are both 12 in tall. One holds 480 cu in and one holds 400 cu in.
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