NY Next Generation Math NY-5.NF.5.a
The Standard
Compare the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students compare a product with one factor by considering whether the other factor is greater than, equal to, or less than one. They reason without multiplying.
What Mastery Looks Like
- The student predicts that 12 times 3/4 is less than 12 and that 12 times 5/4 is greater. The student explains the comparison using fraction size.
Common Misconceptions
- Students may believe multiplication always makes a number larger. They may compare only numerators and ignore whether the multiplier is above or below one.
How to Assess It
- Without calculating, ask students to compare 18 times 7/6 and 18, then compare 18 times 5/8 and 18. Require explanations.
Lesson moves
Ways to Teach It
Use fraction strips to scale one length by factors below, equal to, and above one.
Ask students how the size of a multiplier predicts whether a positive product grows or shrinks.
Play Product Size Sort with expressions grouped as less than, equal to, or greater than the starting factor.
Predict whether resizing a recipe by 3/4 or 5/4 changes each ingredient amount up or down.
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Printable NY-5.NF.5.a Worksheet
A ready-to-print activity worksheet aligned to NY-5.NF.5.a, with an answer key for the teacher on its own page. No account needed.
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