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Multiply using Partial Products




 

Videos to help Grade 4 students learn how to multiply two-digit by two-digit numbers using four partial products.

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

Related Topics:
Lesson Plans and Worksheets for Grade 4

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 4

Common Core For Grade 4


New York State Common Core Math Module 3, Grade 4, Lesson 36


NYS Math Module 3 Grade 4 Lesson 36 Application Problem


Mr. Goggins set up 30 rows of chairs in the gymnasium. If each row had 35 chairs, how many chairs did Mr. Goggins set up? Draw an area model to represent and to help solve this problem.
Problem 1
Use the distributive property to represent and solve two-digit by two-digit multiplication.
Problem 2
Find the product of 23 and 31 using an area model and partial products to solve.
Problem 3
Find the product of 26 and 34 using partial products. Verify partial products using the area model.
Problem 4
Find the product of 26 and 34 without using an area model. Record the partial products to solve.



NYS Math Module 3 Grade 4 Lesson 36 Concept Development


Problem 2
Find the product of 23 and 31 using an area model and partial products to solve.
Problem 4
Find the product of 26 and 34 without using an area model. Record the partial products to solve.

NYS Math Module 3 Grade 4 Lesson 36 Problem Set


1. a. In each of the two models pictured below, write the expressions that determine the area of each of the four smaller rectangles.
b. Using the distributive property, rewrite the area of the large rectangle as the sum of the areas of the four smaller rectangles. Express first in number form and then read in unit form.
14 × 12 = (4 × __ ) + (4 × __ ) + (10 × __ ) + (10 × __ )


 

NYS Math Module 3 Grade 4 Lesson 36 Problem Set

2. Use an area model to represent the following expressions. Record the partial products and solve.
a. 14 × 22

Draw an area model to represent the following expressions. Record the partial products vertically and solve.
3. 25 × 32
4. 35 × 42


2. Use an area model to represent the following expressions. Record the partial products and solve.
a. 14 × 22

NYS Math Module 3 Grade 4 Lesson 36 Homework

1. a. In each of the two models pictured below, write the expressions that determine the area of each of the four smaller rectangles.
b. Using the distributive property, rewrite the area of the large rectangle as the sum of the areas of the four smaller rectangles. Express first in number form and then read in unit form.
Use an area model to represent the following expressions. Record the partial products and solve.
Draw an area model to represent the following expressions. Record the partial products vertically and solve.
Visualize the area model and solve the following numerically using four partial products. (You may sketch an area model if it helps.)


 

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.




 

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