1. Can we determine the area and perimeter of a range of rectangles?
Alice Vigors
2017

2. Can we determine the area and perimeter of a range of rectangles?
Level One
Level Two
Level Three
Use the formula A = l x b to calculate the area of different rectangles in square centimetres.
Using 12 square tiles, how many different rectangles can you make?
Calculate the area of the rectangles in square metres (this task includes decimals)
Draw some rectangles that have an area of 24 cm₂
A rectangle has an area of 36 cm². What might the perimeter be?
Break the compound shapes into rectangles in order to work out the area (this task require multiple steps)
I want to make a vegetable garden in the shape of a rectangle. I have 60m of fence for my garden. What might the area of the garden be?
Can you draw a square in which the perimeter is numerically equal to the area?
Alice Vigors 2017

3. Can we investigate and explain the relationship between the area of a triangle and the area of a rectangle?
Main Task: Create a formula for determining the area of a triangle. Explain your reasoning and prove that your formula works.
How is the area of a triangle related to the area of a rectangle?
What do you think the formula for a triangle might be?
Alice Vigors 2017

4. Level 1
Level 2
Level 3
I am thinking of a shape with an area of 30 square tiles. What might the shape look like?
Solve problems comparing Australian areas to other countries:
What is the difference in area between Victoria (227600km²) and Italy (301000km²)
What is the difference in area between Victoria (227600km²) and Vietnam (333000km²)
Is the combined area of Turkey (780000km²) and Vietnam (333000km²) larger than the combined area of NSW (801600km²) and Victoria (227600km²)
Would the combined areas of Turkey (780000km²), Sweden (450000km²), Norway (324000km²) and Greece (132000km²) be larger than Queensland ( km²)
Calculate the area of each state and territory:
The ACT’s area is 2000km²
TAS is 66000km² larger than the ACT
VIC is km² larger than TAS
NSW is km² larger than VIC
SA is km² larger than NSW
NT is km² larger than SA
QLD is km² larger than NT
WA is km² larger than QLD
2. A shape made from two rectangles has an area of 16 square centimetres. What might this shape look like?
Alice Vigors 2017