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Partial Products to Standard Algorithm

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Lesson Plans and Worksheets for Grade 4
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Common Core For Grade 4



Examples, solutions, and videos to help Grade 4 students learn how to transit from four partial products to the standard algorithm for two-digit by two-digit multiplication.

Common Core Standards: 4.NBT.5, 4.OA.3, 4.MD.3

New York State Common Core Math Module 3, Grade 4, Lesson 38

Download worksheets for Grade 4, Module 3, Lesson 38

NYS Math Module 3 Grade 4 Lesson 38 Concept Development

Problem 3
Solve 46 x 63 involving a regrouping in the second partial product.

NYS Math Module 3 Grade 4 Lesson 38 Problem Set


1. Express 23 × 54 as two partial products using the distributive property. Solve.
23 × 54 = (___ fifty-fours) + (___ fifty-fours)

2. Express 46 × 54 as two partial products using the distributive property. Solve.
46 × 54 = (___ fifty-fours) + (___ fifty-fours)

4. Solve the following using 2 partial products. 6. 53 × 63 7. 84 × 73



NYS Math Module 3 Grade 4 Lesson 38 Homework

1. Express 26 × 43 as two partial products using the distributive property. Solve.
2. Express 47 × 63 as two partial products using the distributive property. Solve.
3. Express 54 × 67 as two partial products using the distributive property. Solve.

Solve the following using 2 partial products.
Solve using the multiplication algorithm.


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