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Water Lab: Reasoning with Signed Products worksheet preview

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Water Lab: Reasoning with Signed Products

Explain signed multiplication using patterns, properties, and water-quality lab records. Interpret products involving rates and past times.

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, Sorting, Short answer

About this worksheet

What students practice

  • Students use patterns and the distributive property to explain the signs of products.
  • Students interpret signed products as changes in water-quality measurements and records.
  • Students distinguish the effects of positive, negative, and zero factors.

How to use

Have students complete the pattern and property questions before interpreting lab records. Discuss why a negative time describes an earlier time, not a negative duration.

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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Water Lab: Reasoning with Signed Products

Use patterns and multiplication properties to explain changes in water-quality records.

Establish the Sign Rules

The community science lab uses signed numbers to record changes. Use patterns and multiplication properties to reason about each product.

1.
Continue the multiplication pattern.
A Fixed Factor of −7
First factorProduct with −7
2−14
1−7
00
−1?

What product belongs in the last row?  

2.
Which statement explains why (−6) × (−1) must equal 6?
  • A. The products (−6) × 1 and (−6) × (−1) must be equal.
  • B. The sum (−6) × 1 + (−6) × (−1) must equal zero.
  • C. The product must equal the sum of the two negative factors.
  • D. The product must be negative because its first factor is negative.
3.
Multiplying by −1 gives the opposite of a number.

What is the opposite of −1? (−1) × (−1) =  

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