Multiplying Numbers

Using Friendly Numbers

Learning Goal: I will be able to solve problems involving the multiplication and division of numbers, using a variety of tools (e.g., concrete materials, drawings, calculators )and strategies

Success Criteria: I can..

• break numbers into tens and ones
• use mental math strategies to help me estimate
• multiply by 10, 100 and 1 000
• use order of operations

Minds On....

Topic 3.1: Multiplication Properties

Action!!

Represent the following multiplication sentence in as many ways as you can.

23 x 5

Multiplying Using the Distributive Property

Here's an example: multiply 17 101 using the distributive property.

1. Simplify the numbers. In this example, 101 = 100 + 1, so: ...
2. Split the problem into two easier problems. Take the number outside the parentheses, and multiply it by each number inside the parentheses, one at a time. ...

Action!!!!

Multiply the following numbers. Show your work.

a) 35 x 6

b) 22 x 10

c) 47 x 200

d) 53 x 1000

Can you come up with a rule when multiplying by 10s 100s and 1 000s? Explain.

Minds On...

Representing Multiplying Decimals with Base Ten Blocks

ACTION!!!

Choose two decimal numbers to multiply together. Represent your multiplication showing at least two strategies.

Minds On...

What do you notice about the following images?
Perfect Squares (Dark Horse Parody, Katy Perry)

Action!!!!

Option 1: Draw a picture that would help someone compare 130 and 260

OR

Option 2: Draw a picture that would help someone compare 121 and 484

CONSOLIDATE!!!

Grade 7: Why might squaring a number and taking the square root of a number be thought of as opposite operations? Give an example to justify your answer. (Nelson Math pg. 25 #19

Grade 8: Owen calculated the square root of a number. Then he calculated the square root of the square root. His answer was 25. What was his original number? Explain your thinking? (Nelson Math pg. 31 #20

Minds On...

Math Antics - Order Of Operations

Action!!!

Using Order of Operations, and two sets of parenthesis, write an equation that is equal to

128 divided by 2

Minds On...

What would happen if you didn't use order of operations?

Action!

Explain what would happen if you didn't use order of operations in the following questions.