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Recycling Drive: Counts and Corrections worksheet preview

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Recycling Drive: Counts and Corrections

Practice signed multiplication through a recycling drive, using record corrections, distributive reasoning, and material counts.

Grade 7MathInteractive · Printable

Aligned to7.NS.A.2.a

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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, Circle the answer, Short answer

About this worksheet

What students practice

  • Students interpret signed products as changes in recycling counts and records.
  • Students use the distributive property to justify products of two negative numbers.
  • Students distinguish a positive record correction from an increase in physical materials.

How to use

Review the record conventions before students begin. Have students work independently, then discuss how signed products describe corrections without implying negative physical counts.

Curriculum

Common Core standard covered

7.NS.A.2.a

Understand why multiplying signed numbers follows rules like (-1)(-1) = 1, and interpret products in context.

Preview

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Name Date

Recycling Drive: Counts and Corrections

Use signed products to track materials and check the drive's records.

Track the Materials

A positive change adds to a recorded total. A negative change subtracts from it. Physical counts of cans, bottles, and paper bundles are never negative.

1.
Each collection station reports the same can-count changes.
Changes at Each Station
ActionCan-count change
Accept donated cans+17
Remove unusable cans−5

What is the combined signed change for 4 stations?   cans

2.
Volunteers remove 7 bags of unusable bottles. Each bag contains 6 bottles. Which statement correctly interprets (−7) × 6 = −42?
  • A. The recorded bottle total decreases by 42 bottles.
  • B. The recorded bottle total increases by 42 bottles.
  • C. The recorded bottle total increases by 13 bottles.
  • D. The recorded bottle total decreases by 13 bottles.
3.
A paper record contains 3 incorrect deductions of 8 pounds each. Deleting a record entry multiplies its signed value by −1. Deleting all 3 deductions is modeled by (−3) × (−8).

What is the signed change in the recorded paper total?   pounds

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