When a 2D shape is decomposed and the parts rearranged, the areas remains the same

Maths

Use knowledge of shape properties to sketch and identify shapes

Use knowledge of shape properties to draw shapes accurately using rulers and protractors

3D shapes can be composed from 2D nets

The same 3D shapes can be composed from different 2D nets

Any parallelogram can be decomposed and the parts rearranged to form a rectangular parallelogram

Two congruent triangles can be arranged to compose a parallelogram

Shapes with the same areas can have different perimeters and vice versa

Reason about shapes using the relationship between side lengths and area and perimeter

Reason about compound shapes using the relationship between side lengths and area and perimeter

In this unit pupils will use knowledge of shape properties to draw, sketch and identify shapes  In the future unit pupils will explain how to calculate the area of a parallelogram and a triangle and describe the relationship between scale factors and side lengths of two shapesThey will describe positions in all four quadrants drawing and translating simple shapes and reflecting them in the axes

In the prior unit pupils compared the size of angles with a clear visual difference and use the terms acute obtuse and reflex when describing the size of angles or amount of rotation with relation to right angles using a unit called degrees In this unit pupils will use knowledge of shape properties to draw, sketch and identify shapes

In this unit pupils will use knowledge of shape properties to draw, sketch and identify shapes.

Draw, compose and decompose shapes

Which of these compound shapes have the same area as each other?

The three shapes are composed of parts that are the same size. Select the shapes that have the same area.

Select the shapes that have the same area.

Nothing. They already have the same area.

What can be done so that the shapes have the same area?

These compound shapes are composed of identical smaller shapes. Which have the same area?

The area of a is greater than the area of b.

The area of b is greater than the area of a.

The two compound shapes have been composed of identical smaller shapes. Which of these statements is true?

Which words describe the smaller shapes the larger square is composed of?

The distance around the edge of a shape. 

Which of these properties must a shape have for it to have an area?

Break it into parts that are the same as the original when put back together.

If you decompose a shape, what do you do?

Yes, as long as they take up the same amount of space.

Yes, as long as they are different types of the same shape,for example triangle.

No, two 2D shapes cannot have the same area.

Is it possible for two 2D shapes to have the same area?

Exit Quiz

Which of these compound shapes have the same area as each other?