Multiply - Area Diagrams & Standard Algorithm
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Lesson Plans and Worksheets for Grade 5
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 5
Common Core For Grade 5
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.
Compare the Area Model to the Standard Multiplication Algorithm
Problem 1
64 × 73
Problems 2–3
814 × 39
624 × 82
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? 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 = ___________________ 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?
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Lesson Plans and Worksheets for Grade 5
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 5
Common Core For Grade 5
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.
Compare the Area Model to the Standard Multiplication Algorithm
Problem 1
64 × 73
Problems 2–3
814 × 39
624 × 82
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? 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 = ___________________ 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?
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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