# Partial Products and Standard Algorithm

Related Topics:
Lesson Plans and Worksheets for Grade 4
Lesson Plans and Worksheets for all Grades

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.

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