Exploring Partial Products in Mathematics

This video tutorial teaches a multiplication strategy using column math, similar to the area model. It involves breaking apart larger factors to find partial products and then adding them to get the final answer. The tutorial includes several example problems, such as 27 times 3 and 436 times 4, and provides step-by-step guidance on solving them. Students are encouraged to use graph paper and multiplication charts for practice. The lesson concludes with independent practice and a review of key steps, emphasizing the importance of place value alignment and regrouping.

What materials do you need to follow along with the multiplication strategy?

• A pencil and a piece of graph paper

• A pen and a piece of lined paper

• A calculator and a piece of graph paper

• A ruler and a piece of graph paper

When multiplying 27 by 3, what is the partial product of 3 times 7?

• 20

• 21

• 27

• 30

In the problem 27 times 3, what is the partial product of 3 times 20?

• 50

• 70

• 80

• 60

What is the final answer when you add the partial products 21 and 60 in the problem 27 times 3?

• 71

• 91

• 81

• 101

In the problem 436 times 4, what is the partial product of 4 times 6?

• 28

• 24

• 26

• 20

What is the partial product of 4 times 30 in the problem 436 times 4?

• 120

• 130

• 110

• 100

What is the final answer when you add the partial products 24, 120, and 1600 in the problem 436 times 4?

• 2004

• 1704

• 1904

• 1804

What is the product of 98 times 7?

• 699

• 689

• 679

• 669

In the problem 4028 times 4, why is the hundreds place not multiplied?

• Because it is already included in the thousands place

• Because multiplying by zero does not change the result

• Because it simplifies the calculation

• Because it is not necessary for this problem

What is the final answer for the problem 4028 times 4?

• 16012

• 16312

• 16112

• 16212