# Area Diagrams & Standard Algorithm with Renaming

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 with renaming.

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

New York State Common Core Math Grade 5, Module 2, Lesson 7

Worksheets for Grade 5, Module 2, Lesson 7

Lesson 7 Concept Development
Problem 1
524 × 136
Problem 2
4,519 × 326
Problem 3
4,509 × 326 (Estimate the product first.)

Lesson 7 Homework
This video demonstrates how to use an area model and a standard algorithm to solve a three digit by three digit multiplication problem.

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 your algorithm. a. 273 × 346 = ___________
b. 273 × 306 = ___________
1. At the farmer’s market, each of the 94 vendors makes \$502 in profit each weekend. How much profit will all vendors make on Saturday?<

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. 