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Swim Practice: Pace Notes worksheet preview

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Swim Practice: Pace Notes

Analyze swim practice times using signed division, rational quotients, equivalent negative fractions, and the restriction on division by zero.

Grade 7MathInteractive · Printable

Aligned to7.NS.A.2.b

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What’s included

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

Details

Format
Interactive · Printable
Grade
Grade 7
Subject
Math
Question types
Fill in the blank, Multiple choice, Matching, Circle the answer, Sorting, Short answer

About this worksheet

What students practice

  • Students divide integers with nonzero divisors and identify the resulting quotients as rational numbers.
  • Students recognize equivalent placements of a negative sign in a quotient.
  • Students interpret signed average time differences and explain why division by zero is undefined.

How to use

Use during a lesson on signed division. Have students complete the pace calculations, check equivalent fractions, and explain the final average using the lap data.

Curriculum

Common Core standard covered

7.NS.A.2.b

Know integers can be divided when the divisor is not 0, that the result is rational, and that -(p/q) = (-p)/q = p/(-q).

Preview

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Name Date

Swim Practice: Pace Notes

Use signed quotients to analyze lap times and check fraction forms.

Read the Practice Log

A signed time difference is actual time minus target time. Negative means faster than the target; positive means slower. Divide the total difference by the number of completed laps to find the average difference per lap.

1.
Nia completed this practice set.
Nia's Practice Set
LapsActual time (s)Target time (s)
4247250

What was her average signed time difference per lap?   second per lap

2.
Mateo's actual time for 8 laps was 366 seconds. His target for the set was 360 seconds.

What was his average signed time difference per lap?   second per lap

3.
Leila finished 6 laps in exactly her target time. Which calculation gives her average signed time difference per lap?
  • A. 6 ÷ 6 = 1 second per lap.
  • B. 6 ÷ 0 is undefined.
  • C. 0 ÷ 6 = 0 seconds per lap.
  • D. 0 ÷ 6 = 6 seconds per lap.

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