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Unit 4 - Lesson 3 - Grade 5: Illustrative Mathematics

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Grade 5 Unit 4
Lesson 3: Partial Products in Algorithms
CC BY 2021 Illustrative Mathematics®
Grade 5 Unit 4
Lesson 3: Partial Products in Algorithms
CC BY 2021 Illustrative Mathematics®
Lesson: Partial Products in Algorithms

Which One Doesn't Belong: Multiplying Large Numbers (Warm Up)

Which one doesn't belong?

Partial Products Everywhere

Take turns picking out a set of expressions that are equal to 245 x 35 when added together. Use the diagrams if they are helpful.

Explain how you know the sum of your expressions is equal to 245 x 35.

What is the value of 245 x 35? Explain or show your reasoning.

Record Partial Products

How are Andre’s and Clare’s strategies the same? How are they different?


Create a list of equations to match the partial products Andre and Clare found.


Cool Down: Using Partial Products

Find the value of 415 x 43 using partial products.