Reason about 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 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

This square road sign has a perimeter of 120 cm. What is the length of one side? {{ }} cm

What is the missing dimension of the rectangle which has an area of 104 cm² and one known side of 8 cm? {{ }} cm

The smaller rectangle has sides of 7 cm and 3 cm. The larger rectangle is composed of two of the smaller rectangles. What is the perimeter of the larger rectangle? Remember to use the correct unit.

The square has an area of 64 cm². It is decomposed into four congruent rectangles. What is the perimeter of one of the small rectangles? Remember to use the correct unit.

The larger rectangle is composed of two of the smaller rectangles. What is the area of the larger rectangle? {{ }} cm²

The larger rectangle is composed of the smaller rectangles. What is the area of the larger rectangle? {{ }} cm²

What is the perimeter of this shape? Remember to use the correct unit of measure.

A square has side lengths of 75 mm. What is its perimeter? {{ }} mm

A rectangle has side lengths of 17 cm and 4 cm. Its area is {{ }} cm².

What is the area of this square? {{  }} cm²

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

Lesson outcome