# Partial Products and Standard Algorithm

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 Module 3, Grade 4, Lesson 11
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.
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 area model.
5. 3 times as many as 2,805.

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