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Partial Products and Standard Algorithm

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Lesson Plans and Worksheets for Grade 4
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 4
Common Core For Grade 4



Examples, solutions, and videos to help Grade 4 students learn how to connect the area model and the partial products method to the standard algorithm.

Common Core Standards: 4.NBT.5, 4.OA.1, 4.OA.2, 4.NBT.1

New York State Common Core Math Grade 4, Module 3, Lesson 11

Grade 4, Module 3, Lesson 11 Worksheets (pdf)

NYS Math Module 3 Grade 4 Lesson 11 Concept Development
Problem 1: Multiply a three-digit number by a one-digit number using the area model.

Problem 2: Multiply a three-digit number by a one-digit number, connecting the area model to the standard algorithm.

Problem 3: Solve a word problem using the standard algorithm, area model, or partial products strategy.
A cafeteria makes 4,408 lunches each day. How many lunches are made Monday through Friday? NYS Math Module 3 Grade 4 Lesson 11 Homework
1. Solve the following expressions using the standard algorithm, the partial products method, and the area model.
a. 302 × 8
b. 216 × 5
c. 593 × 9

2. Solve using the partial products method.
On Monday 475 people visited the museum. On Saturday there were 4 times as many visitors as there were on Monday. How many people visited the museum on Saturday?

3. Model with a tape diagram and solve.
6 times as much as 384.

Solve using the standard algorithm, the area model, the distributive property, or the partial products method.
4. 253 3
5. 7 times as many as 3,073.

6. A cafeteria makes 2,516 pounds of white rice and 608 pounds of brown rice every month. After 6 months, how many pounds of rice does the cafeteria make? Write your answer as a statement.



NYS Math Module 3 Grade 4 Lesson 11 Problem Set
1. Solve the following expressions using the standard algorithm, the partial products method, and the area model.
a. 425 × 4
4 (400 + 20 + 5)
(4 × __ ) + (4 × __ ) + (4 × _ )

Solve using the distributive property.
5. 3 times as many as 2,805.

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