NY Next Generation Math NY-5.NBT.5
The Standard
Fluently multiply multi-digit whole numbers using a standard algorithm.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students fluently multiply multi-digit whole numbers with a standard algorithm. They align place values, record partial products correctly, and combine them accurately.
What Mastery Looks Like
- The student solves 3,406 times 27 with an efficient standard algorithm and obtains 91,962. The student checks reasonableness with an estimate.
Common Misconceptions
- Students may misalign a second partial product or forget the place-value shift. They may make basic-fact errors and accept an unreasonable product.
How to Assess It
- Ask students to calculate 2,718 times 34 with a standard algorithm and use rounding to check the product's size.
Lesson moves
Ways to Teach It
Use a place-value chart beside the standard algorithm to track each partial product's position.
Ask students to explain why the tens-row partial product begins one place left.
Play algorithm error hunt with misaligned partial products, omitted regrouping, and incorrect sums.
Calculate a large total from equal quantities in many boxes and check it with an estimate.
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