New
New
Solve problems involving counting and drawing the areas of different shapes
I can use understanding of area and counting strategies to solve problems involving area.
Lesson 5 of 5
New
New
- Year 5
Solve problems involving counting and drawing the areas of different shapes
I can use understanding of area and counting strategies to solve problems involving area.
Lesson details
Key learning points
- The units of counting area must be the same if you want to compare the areas of different shapes.
- The units of area should be squares.
- Square units can be counted even if they cannot always be seen.
Keywords
Area - The measurement of a flat surface. It measures 2D space.
Rectilinear - 2D polygons composed of one or more rectangles.
Common misconception
Inaccuracy when drawing can mean pupils fail to correctly answer questions relating to drawing area.
Access to tools such as visualisers allows the teacher to model drawing lines with great accuracy, using the gridlines to guide.
Many of the tasks in Cycle 2 ask pupils to create rectilinear shapes. Pupils will be naturally inclined to draw rectangles. To add an extra layer of challenge for certain pupils, ask them to try a rectilinear shape which is not a rectangle.
Teacher tip
Licence
This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Which of these shapes is rectilinear?
Which of these shapes is rectilinear?
a
b
c
Q2.What is the area of the shaded triangle?
What is the area of the shaded triangle?
Impossible to say because not all of the squares are complete.
1 square unit.
3 square units.
Q3.What is the area of the shape? square units.
What is the area of the shape? square units.
Q4.What is the area of this shape? square units.
What is the area of this shape? square units.
Q5.What is the area in this shape? square units.
What is the area in this shape? square units.
Q6.Select all of the strategies that could be used to calculate the area of the shape.
Select all of the strategies that could be used to calculate the area of the shape.
Add all of the squares with green in them (10)
Work out half of the 3 x 4 rectangle.
Assessment exit quiz
6 Questions
Q1.A shape with half the area of this shape would have an area of square units.
A shape with half the area of this shape would have an area of square units.
Q2.A shape with double the area of this shape would have an area of square units.
A shape with double the area of this shape would have an area of square units.
Q3.Part of this rectangle is covered by spilled tea. What is the area of the whole shape in square units?
Part of this rectangle is covered by spilled tea. What is the area of the whole shape in square units?
Q4.What is the area of the shaded shape?
What is the area of the shaded shape?
It is impossible to tell, because you cannot see the square units.
1 square unit.
3 square units.
Q5.The area of the triangle is how many square units?
The area of the triangle is how many square units?
Impossible to tell.
1
3
Q6.The area of the triangle is how many square units?
The area of the triangle is how many square units?
