A property is a character or quality something has.

Draw shapes with given properties on a range of geometric grids

Maths

Make shapes by joining two polygons in different ways

Investigate different ways of decomposing a polygon

Draw polygons on isometric paper

Construct quadrilaterals with and without parallel and perpendicular sides

Make and draw shapes with and without parallel and perpendicular sides

Identifying parallel lines

Make and draw triangles on circular geoboards

Make and draw quadrilaterals on circular geoboards

Draw shapes with given properties

In this unit pupils will investigate ways to compose and decompose polygons. They will investigate quadrilaterals with and without parallel and perpendicular sides. In the future unit pupil will learn perimeter as the distance around the edge of a 2D shape. They will learn perimeter is measured in units of length found by counting units and by calculating by adding the side lengths of a 2D shape.

In the prior unit pupils rotated two lines around a fixed point to make different sized angles. They identified vertices. In this unit pupils will investigate ways to compose and decompose polygons. They will investigate quadrilaterals with and without parallel and perpendicular sides.

In this unit pupils will investigate ways to compose and decompose polygons. They will investigate quadrilaterals with and without parallel and perpendicular sides.

Parallel and perpendicular sides in polygons

How many pairs of perpendicular sides does this polygon have?

Shape B no longer has perpendicular sides.

Shape B now has a pair of parallel sides.

Andeep moves one vertex to change shape A to shape B. What has changed?

True or false? This triangle has one right angle and therefore a pair of perpendicular sides.

Sofia begins to draw a septagon. The points will become vertices. How many more points does she need to have to make a septagon?

Sofia says if she connects the vertices shown here she will have a quadrilateral with a pair of perpendicular sides. Do you agree?

Sofia completes a shape to make a pentagon. Tick the correct statements.

They all have at least one pair of parallel sides.

They all have at least one pair of perpendicular sides.

Look at these four shapes. What do they have in common?

Order the shapes starting with the shape with the highest number of vertices.

True or false? A trapezium must have a pair of perpendicular sides.

… only one pair of perpendicular sides.

Complete the definition. A parallelogram has four sides, four vertices and …

Which shape does this describe? A quadrilateral with four equal length sides. It has two pairs of parallel lines.

The hexagon has been decomposed into three parts. One is a parallelogram. Name one of the other two parts.

Starter Quiz

Look at these four shapes. What do they have in common?