AC9M8M05Year 8MeasurementPractised on site

AC9M8M05 — Year 8 Measurement

Official Curriculum Content Description:

recognise and use rates to solve problems involving the comparison of 2 related quantities of different units of measure

Worked Examples (1)

Example 1Direct Proportion via Unitary Method

The fete stall buys

2\text{ metres}

of ribbon for

\$6

. Using the unitary method (finding the cost per single metre first), calculate the cost of

3\text{ metres}

Common mistake: Multiplying the original total cost (

\$6

) directly by the target quantity (3) without dividing by 2 first.

Correct Answer:

\$9

Accepted: A unit is optional ($ or dollars accepted).

Worked Solution:

1. Find the unit value (cost per 1 metre):

\$6 \div 2 = \$3

. 2. Multiply the unit value by the target quantity (

3

\$3 \times 3 = \$9

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