T Cap Math

Understanding Multiplication

By Phantesa Ingram

What is multiplication?

It is an operation of arithmetic used to create a product.

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Some terms we will use when multiplying are:

• ​coefficients (which numbers are being multiplied together)

• product​ (the answer to a multiplication problem)

Math| Multiplication

How does it work?

Multiplication is a more complex addition problem.

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For example:

12 x 3 = 12 + 12 + 12

4 x 11 = 11 + 11 + 11 + 11​

It's like addition!

How does it work?

Let's Practice!

Fill in the Blanks

What addition problem is similar to 14 x 5?

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What addition problem is similar to 9 x 2?

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What multiplication problem is similar to 13 + 13 + 13 + 13?

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What multiplication problem is similar to 2 + 2 + 2 + 2 + 2 + 2 + 2?

We're going to model some multiplication problems, so we can better visualize them for future assignments.

Modeling Multiplication

We create equal groups of our first coefficient, then make enough groups to match our second coefficient.

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Arrays​

Set Models

6 groups of 3 = 6 x 3

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We create rows of our first coefficient filled with items that match the number of our second coefficient.

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Number Line

Arrays

4 rows of 5 = 4 x 5​

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We use skip counting on a number line to find our product. Skip count with the first coefficient and skip as many times over as the second coefficient.

Practice!

Number Lines

Skipped by 2s, 11 times = 2 x 11

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Fill in the Blanks

What multiplication problem is shown here?

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How many frogs are in this image? (Use multiplication to solve)

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What multiplication problem is shown here?

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How many turtles are in this image? (Use multiplication to solve)

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What multiplication problem is shown here?

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What is the product of this multiplication problem?

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What multiplication problem is shown here?

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How many squares are in this image? (Use multiplication to solve)

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What multiplication problem is shown here?

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How many triangles are in the image?

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What multiplication problem is shown here?

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What is the product of this multiplication problem?

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What multiplication problem is shown here?

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How many Xs are in the image?

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What multiplication problem is shown here?

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How many controllers are in this image?

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What multiplication problem is shown here?

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What is the product of this multiplication problem?