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- NZ Year 4 Maths
- Multiplying and Dividing Numbers

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Try reviewing these fundamentals first

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Get Started Now- Lesson: 1a3:08
- Lesson: 1b1:32
- Lesson: 1c1:34
- Lesson: 1d0:51
- Lesson: 2a3:41
- Lesson: 2b1:59
- Lesson: 2c1:23
- Lesson: 3a3:12
- Lesson: 3b2:12
- Lesson: 4a2:45
- Lesson: 4b1:05
- Lesson: 4c0:56
- Lesson: 5a2:17
- Lesson: 5b2:00
- Lesson: 5c1:31
- Lesson: 6a5:11
- Lesson: 6b2:54

In this lesson, we will learn:

- Factors, Products, Multiplication Statements
- Writing a product for a given array
- Drawing arrays to find factors
- Using an array to describe the distributive property of multiplication

- Numbers we can multiply to get another number
- Numbers we can multiply to get another number

- two numbers that we multiply together to get a certain product

Ex. 3 x 4 = 12

3 and 4 are both factors of 12 and 3 and 4 are a factor pair

$\quad$ 2 x 6 = 12

2 and 6 are also factors of 12, 2 and 6 are a factor pair

2 x 4 DOES NOT EQUAL 12

- Every number has 1 as a factor
- Every number has itself as a factor

- The term product in this section is used for both an expression involving multiplication and the evaluation of that expression

$\qquad \qquad$ Ex. The product of 2 and 5 is: 2 x 5 and 10

- An array is a diagram which represents a product
- You can draw an array with dots or with squares

The product is created by writing the number of rows times the number of columns

The product for the above array would be 2 x 3 or 6

- 1.
**Products and Arrays**

Write a product for each arraya)

b)

c)

d)

- 2.
**Find Factors using Arrays**

Draw an array to find the factors ofa)12b)6c)7 - 3.
**Arrays and the Distributive Property**

- Write a product for the entire diagram, the unshaded squares and the shaded squares
- Write an equation for the entire diagram (using the distributive property)

a)

b)

- 4.
**Rewriting products in expanded form**

Rewrite each product in expanded form (rewrite as a sum)a)6 x 12b)3 x 128c)7 x 408 - 5.
**Distributive Property of Multiplication (multiplying by 1-digit)**

Use the distributive property to find the product:a)4 x 36b)3 x 825c)401 x 9 - 6.
**Distributive Property of Multiplication (2-digit x 2-digit)**

Use the distributive property to find the product:a)14 x 12b)65 x 34

4.

Multiplying and Dividing Numbers

4.1

Arrays and factors

4.2

Multiplying by 10, 100, 1000

4.3

Multiplication strategies

4.4

Multiplying multi-digit numbers

4.5

Dividing multiples of 10

4.6

Dividing using place value

4.7

Dividing using area models

4.8

Dividing multi-digit numbers

4.9

Products and quotients: Word problems

4.10

Applications of the four operations