Core concept 3.1:
Understanding multiplicative relationships
Appreciate that any two numbers can be connected via a multiplicative relationship
Ask students to describe how to get from 9 to 1 to 5 using division and multiplication.
9 ÷ 9 x 5 = 5
When they are comfortable with this ask how to get from a to a to b.
a ÷ a x b = b
Can you get from 9 to 5 without division?
9 x ⅑ x 5 = 5
9 x 5/9 = 5
Can you get from a to b without division?
a x ⅟a x b = b
a x b/a = b
126.96.36.199 Appreciate that any two numbers can be connected via a multiplicative relationship
Multiplication as Scaling
188.8.131.52 Use a double number line to represent a multiplicative relationship and connect to other known representations
184.108.40.206. Understand the language and notation of ratio and use a ratio table to represent a multiplicative relationship and connect to other known representations
220.127.116.11 Be able to determine one part, given the other part and the ratio
18.104.22.168 Calculate percentage changes (increases and decreases)
This dynamic representation shows the bar model, double number line and ratio table together.
Click the points to reveal the hidden values.