Explain how to make different shapes with the same area

Maths

In this unit pupils will explain what area is and measure using counting as a strategy. They will make different shapes with the same area and compare the area of different shapes. In the future unit pupils will calculate the area of a rectangle using multiplication and use their knowledge of area to solve problems.

In the prior unit pupils completed and composed symmetrical shapes from two congruent shapes and investigated lines of symmetry in 2D shapes. In this unit pupils will explain what area is and measure using counting as a strategy. They will make different shapes with the same area and compare the area of different shapes.

Understand the concept of area

Complete the definition: Rectilinear shapes are 2D polygons composed of one or more __________.

Look at Shape A and Shape B. Which of the following statements is true? 

Remove a square unit from Shape A and from Shape C.

How can these shapes be made equal? Select all options that apply. 

Each of the two shapes has been made by combining two pentominoes. 

The two shapes have the same area as each other. 

The two shapes have a different area to each other. 

Each of the shapes has an area of ten square units. 

If the two pentominoes in each shape were re-positioned, the area would change. 

Tick all of the statements that are true about the two shapes shown in the image.

If two more half-squares were added to b, the two shapes would be equal. 

If a square unit was added to b, the two shapes would be equal. 

If two square units were removed from a, the two shapes would be equal. 

Tick all of the statements that are true. 

Which of these combinations would combine to create a non-rectilinear shape with an area of 6 square units? Select all that apply.

Which of the following shapes is rectilinear? 

This shape has an area of {{  }} square units. 

This shape has an area of {{  }} square units. Count squares efficiently.

Which of the following methods would help to work out the area of this rectilinear shape? Select all that apply. 

What is the area of this shape in square units? 

What is the area of this shape in square units? {{  }}

This lesson will be removed by end of Summer Term 2025.

Explain how to make different shapes with the same area

Lesson outcome

This lesson will be removed by end of Summer Term 2025.