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Robot Race Day: Bigger, Smaller, or the Same? worksheet preview

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Robot Race Day: Bigger, Smaller, or the Same?

Grade 5 scaling practice: predict and explain whether multiplying by a fraction greater than, less than, or equal to 1 grows or shrinks a number.

Grade 5MathInteractive · Printable

Aligned to5.NF.B.5.b

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 11 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 5
Subject
Math
Question types
Fill in the blank, Multiple choice, Matching, Circle the answer, Sorting, Short answer

About this worksheet

What students practice

  • Students predict whether a product is greater than, less than, or equal to a factor without multiplying.
  • Students explain why multiplying by a fraction greater than 1 makes a number larger and less than 1 makes it smaller.
  • Students connect equivalent fractions to multiplying a fraction by a fraction equal to 1.

How to use

Use after students can multiply fractions by whole numbers. Have them predict first and multiply only to check, then discuss the explanations in the last section as a class.

Curriculum

Common Core standard covered

5.NF.B.5.b

Explain why multiplying by a fraction greater than 1 makes a larger product and less than 1 a smaller one.

Preview

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Name Date

Robot Race Day: Bigger, Smaller, or the Same?

Predict how multiplying by a fraction changes a number.

Predict without multiplying

Each robot has a power dial. The dial number is multiplied by the robot's normal distance. Decide if the new distance is more, less, or the same.

1.
Robot Zip drives 12 feet on normal power. Sort each dial setting without multiplying.
12 × 3/412 × 5/412 × 7/712 × 1/312 × 212 × 9/1012 × 11/812 × 6/6
More than 12 feetLess than 12 feetExactly 12 feet
2.
Robot Bolt drives 15 feet on normal power. Lena sets its dial to 2/3. Which statement about 15 × 2/3 is true?
  • A. It is more than 15, because multiplying always makes a bigger number.
  • B. It is equal to 15, because 15 can be split into thirds.
  • C. It is less than 15, because 2/3 is less than 1.
  • D. It is more than 15, because 2/3 is more than 1/2.
3.
Robot Echo drives 20 feet on normal power. Use the word bank to finish each sentence.
Word bank: greater than · less than · equal to

20 × 7/5 is   20.
20 × 3/8 is   20.
20 × 8/8 is   20.

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