Multiply - Area Diagrams & Standard Algorithm

Examples, solutions, videos and lessons to help Grade 5 students learn how to connect area diagrams and the distributive property to partial products of the standard algorithm without renaming.

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

New York State Common Core Math Module 2, Grade 5, Lesson 6

Worksheets for Grade 5, Module 2, Lesson 6

The following figures give an example to compare multiplication using the area model, partial products, and the standard algorithm. Scroll down the page for more examples and solutions.

 

Lesson 6 Concept Development
Compare the Area Model to the Standard Multiplication Algorithm
Problem 1
64 × 73
Problems 2–3
814 × 39
624 × 82

• Show Step-by-step Solutions

Lesson 6 Problem Set

1. Draw an area model, and then solve using the standard algorithm. Use arrows to match the partial products from your area model to the partial products in the algorithm.
   a. 48 × 35
   b. 648 × 35

Lesson 6 Homework
3. Each of the 25 students in Mr. McDonald’s class sold 16 raffle tickets. If each ticket cost $15, how much money did Mr. McDonald’s students raise?
4. Jayson buys a car and pays by installments. Each installment is $567 per month. After 48 months, Jayson owes $1250. What was the total price of the vehicle?

• Show Step-by-step Solutions

Lesson 6 Homework
This video shows how to use more complex area models to solve double digit multiplication problems.

1. Draw an area model, and then solve using the standard algorithm. Use arrows to match the partial products from your area model to the partial products in the algorithm.
   a. 27 × 36 = ___________________

• Show Step-by-step Solutions

b. 527 x 36 = _________________
4. Jayson buys a car and pays by installments. Each installment is $567 per month. After 48 months, Jayson owes $1250. What was the total price of the vehicle?

• Show Step-by-step Solutions

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.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.