Georgia 7.NR.1.6
The Standard
Make sense of multiplication of rational numbers using realistic applications.
Georgia's K-12 Mathematics Standards · Solve relevant, mathematical problems, including multi-step problems, involving the four operations with rational numbers and quantities in any form (integers, percentages, fractions, and decimal numbers).
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students represent repeated gains, losses, rates, and scaling with multiplication of positive and negative fractions or decimals. They calculate the product and explain its meaning in the situation.
What Mastery Looks Like
- Students choose multiplication for a situation involving equal changes or scaling. They find the correct product, include units, and explain what its sign and size mean in context.
Common Misconceptions
- Students may think any negative factor makes the product negative, even when both factors are negative. They may ignore units or choose multiplication just because two numbers appear in the problem.
How to Assess It
- Use this exit ticket: “A submarine descends 3.5 meters per minute for 4 minutes. Write a multiplication equation and explain the product’s sign.”
Lesson moves
Ways to Teach It
Use a floor number line to model four temperature drops of 2.5 degrees, then write and explain the matching product.
Ask students to explain how 3 × negative 4 differs from negative 3 × negative 4 in a realistic situation.
Play a card match game linking rational number products to equations, answers, and short situation cards.
Give pairs a bank statement with repeated $4.75 fees, then have them calculate and explain the total account change.
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Printable 7.NR.1.6 Worksheet
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Related Standards
- 7.NR.1.8
Represent the multiplication and division of integers using a variety of strategies and interpret products and quotients of rational numbers by describing them ...
- 7.NR.1.9
Apply properties of operations as strategies to solve multiplication and division problems involving rational numbers represented in an applicable scenario.
- 7.NR.1
Solve relevant, mathematical problems, including multi-step problems, involving the four operations with rational numbers and quantities in any form (integers, ...
- 8.NR.1
Solve problems involving irrational numbers and rational approximations of irrational numbers to explain realistic applications.
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