Lesson 1.41.4 Small Group · Group 1
Group 1 · Set BSecond form · new problems, same idea
Learning target With my small group, I can construct an argument using equations, drawings, or words, and use volume to defend a recommendation — one step at a time, with support.
Remember1.4 Small Group · Group 1
A strong argument states a claim and backs it with reasons, like a volume in cubic units or a clear reason in words. A math argument is a claim with reasons. Volume can be a strong reason, and words can be reasons too.
Words: argument (argumento)conjecture (conjetura)counterexample (contraejemplo)volume (volumen)cubic unit (unidad cúbica)
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1Complete each step, then write the final answer.
A box is 5 inches long, 2 inches wide, and 10 inches tall. What is its volume?
Show your workHint Multiply length × width × height: 5 × 2 × 10.
Final answer: -
2Complete 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 workHint Find one box's volume. Then multiply by 3.
Final answer: -
3Complete 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 workHint Find the volume of each tank. Then subtract the smaller from the bigger.
Final answer: -
4Complete each step, then write the final answer.
Option 1 is 3 boxes that are each 6 in by 5 in by 8 in. Option 2 is 4 boxes that are each 5 in by 4 in by 9 in. How many more cubic inches does one option hold?
Show your workHint Find the total volume of each option. The answer may surprise you.
Final answer:
Explain your thinkingLeo chose Pack B. Give one reason with numbers and one reason with words for the pack you recommend.
Sentence starter I recommend ___ because ___ cubic inches is more than ___ cubic inches. · Another reason, in words, is ___.