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Lesson

Are you ready?

Do you remember how multiplication can be thought of as  equally sized groups  ?

Examples

Example 1

Complete the statement below with the missing numbers.

The image shows five clovers with 4 leaves each.

The image shows groups of leaves.

Worked Solution
Create a strategy

Each clover is a group. Count the number of clovers and the number of leaves on one clover.

Apply the idea

There are 5 clovers, and each has 4 leaves.

The image shows 5 groups of 4 leaves.

Idea summary

Groups have the same size if they each have the same number of items.

Arrays as products

In this video we see how rows and columns (called an array), can be used to solve multiplication.

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Examples

Example 2

Select the array that shows the following statement:\quad 3 \text{ times } 7

A
An array with 7 columns and 3 rows.
B
An array with 8 columns and 3 rows.
C
An array with 7 columns and 4 rows.
D
An array with 8 columns and 4 rows.
Worked Solution
Create a strategy

3 times 7 can also be thought of as 3 groups of 7.

Apply the idea

The option that shows 3 times 7 is option A because it has 3 rows of 7.

An array with 7 columns and 3 rows.
Idea summary

We get the same answer whichever way we look at our array.

An image showing an array with 2 columns and 4 rows. Ask your teacher for more infromation.

Outcomes

MA2-6NA

uses mental and informal written strategies for multiplication and division

MA2-8NA

generalises properties of odd and even numbers, generates number patterns, and completes simple number sentences by calculating missing values

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