What is the connection between area models and the distributive property?
Using Partial Products to Apply the Distributive Property
Partial products is a math strategy that helps 5th grade students decompose a multiplication problem into smaller, more manageable parts. Using area models, students can break down the problem into two separate parts: the product of each factor and the sum of the two products. By using partial products, students can apply the distributive property to solve the multiplication problem.
3 Digit By 2 Digit Multiplication Using Area Models
Area models are a visual way to represent multiplication. They can help you visualize the base-ten structure of numbers. To solve a 3 digit by 2 digit multiplication problem, you will need to break down each number into expanded form, draw an area model for each, and then add the area models together. The area model can help you solve any 3 digit by 2 digit multiplication problem quickly and accurately.
Multiplying 3 Digit Numbers with Area Models
Area models are used to help visualize the multiplication process. Break apart the numbers into hundreds, tens, and ones. Multiply each column separately.
Did you know?
The area model is sometimes called the 'box method' because it resembles a box shape. The area model was first used by the ancient Babylonians over 4,000 years ago! In the area model, the 3-digit number is the length of the rectangle and the 2-digit number is the width.
What is a way to represent multiplication using pictures?
In pairs: Select one task
Question: You are a math teacher and your students need help understanding 3-digit by 2-digit multiplication using area models. How can you help them?
Remind them that multiplication is repeated addition. Show them how to draw an area model that shows the two factors. Help them understand that the product is found by completing the area model.
A: Have students work in pairs to solve a multiplication problem using an area model. B: Have students explain their solution through a drawing.
What is the product of 427 multiplied by 34 using area models?
What is the result of 572 multiplied by 23 using area models?
Calculate the value of 689 multiplied by 45 using area models.
- 31 ,025
Find the solution for 543 multiplied by 28 using area models.
- 14 ,924
- 16 ,044
- 15 ,012
- 15 ,204
What is the product of 934 multiplied by 17 using area models?
- 16 ,038
- 16 ,218
- 16 ,078
- 15 ,878
Brain break: Draw a dinosaur doing the 👍thumbs up👍 pose while wearing a party hat and blowing bubbles with a bubblegum
What is the product of 345 multiplied by 23 using an area model?
What is the result of multiplying 462 by 12 using an area model?
Using an area model, what is the solution to 678 multiplied by 15?
Using an area model, what is the value of multiplying 437 by 27?
Work together in pairs: What is the most important step in solving a 3 digit by 2 digit multiplication problem using an area model?