Area is a two-dimensional concept related to the geometric concept of an enclosed region. It is defined in the maths curriculum as the size of a surface expressed as a number of square units. Investigations of the size of an area should begin with comparisons between different surfaces and progress to the use of non-standard, and then standard, units. The use of formulae to calculate the areas of common polygons is the final stage of the learning sequence.
Level 1 Area
| Achievement Objectives |
Learning Outcomes |
Unit title |
|
GM1-1
|
- compare lengths from the same starting point
- use materials to make a long or short construction
- use materials to compare large and small areas
|
Worms and more |
- directly compare the area of 2 objects by superimposing
- cover a shape with smaller shapes
|
Prints and Outlines |
- cover a shape with non-standard area units and count the number used
- compare and order areas of shapes using non-standard area units
|
Great cover up |
Level 2 Area
| Achievement Objectives |
Learning Outcomes |
Unit title |
|
GM2-1
|
- recognise the need for a standard unit of area
- measure surfaces using square centimetres
- estimate the measure of surfaces using square centimetres
|
Outlining area |
Level 3 Area
| Achievement Objectives |
Learning Outcomes |
Unit title |
|
GM3-1
|
- construct a square metre and use it to measure areas
- estimate and measure to the nearest square metre
|
How much room? |
|
GM3-2
|
- use multiplication to calculate the area of a rectangle
- measure the length of a side using a ruler
- use proportional reasoning to find the area of a rectangle
|
Areas of Rectangles |
|
GM3-2
|
- understand attributes of a measurement unit for area
- understand the relationship between area and perimeter
- use patterns to find the area of shapes
|
Fill it up - flat space |
Level 4 Area
| Achievement Objectives |
Learning Outcomes |
Unit title |
GM4-1
GM4-3 |
- use a formula to calculate the area of rectangles and squares
- investigate the relationship between the perimeter and area of rectangles
|
What goes around... |
GM4-3
NA4-9 |
- explore the relationship between rows and columns in finding the area of rectangles
- calculate the area of rectangles, parallelograms, and triangles
|
You can count on squares! |
|
GM4-3
|
- recognise that two identical right angled triangles can be joined to make a rectangle
- recognise that a triangle has half the area of a rectangle with the same base and height lengths
- apply the rule 'area of triangle equals half base times height'
|
Triangles |
|
GM4-3
|
- understand and apply the rule ‘area of triangle equals half base times height’
- connect the area of a parallelogram to the area of the rectangle from which it can be created
- find the volumes of cuboids with whole number dimensions
|
Areas and volumes |
Level 5 Area
| Achievement Objectives |
Learning Outcomes |
Unit title |
|
GM5-4
|
- find areas of shapes
- find simple two-variable linear patterns relating to areas
|
Fences and Posts |
GM5-3
GM5-5
GM5-10 |
- apply Pythagoras' theorem
- use their knowledge of the sum of interior angles of a polygon
- construct angles based on halving and combining 90° and other straightforward angles
- apply knowledge of length and area
|
How High?
|
GM5-4
GM5-9
NA5-4 |
- use scale factors to investigate areas being enlarged
- use scale factors to investigate volumes being enlarged
- solve real life context probelms involving scale factors
|
Scale Factors for Areas and Volumes |
