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

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

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

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

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

Yes. Add the known side lengths together.

Is there enough information to calculate the perimeter of the shape?

Calculate the perimeter of the shape.{{  }} cm

Calculate the area of one rectangle by multiplying its known side lengths.

Subtract the area of the known rectangle from the known area.

Divide the area of the other rectangle by its known side length.

The area of the shape is 43 cm². Order the steps to work out the missing dimension.

The area of the shape is 43 cm². What is the missing side length?

It can be decomposed into two rectangles.

Select all of the statements that are true of this number shape.

Counted the squares inside the shape, giving the area.

Laura says the perimeter of this shape is 8 units. What mistakes do you think she has made?

What is the perimeter of this rectangle? {{  }} cm

What is the perimeter of this shape? Remember to include the correct units.

What is the missing side length of this rectangle? Remember to include the correct units.

What is the area of this square? {{  }}  cm$$ ^2 $$ 

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

Lesson outcome