A straight line connecting one vertex to another, but is not the side or edge.

Investigate the shapes made when rectangles are cut on the diagonal

Maths

Make different sized angles by rotating two lines around a fixed point

Identify and describe right angles

Know that a right angle describes a quarter turn

Identify properties of triangles

Identify properties of quadrilaterals

Know that a rectangle is a four-sided polygon with four right angles

Know that a square is a rectangle in which the four sides are of equal length

Join four right angles at a point using different right-angled polygons

Investigate and draw other polygons with right angles

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

In the prior unit pupils ordered and arranged combinations of objects in patterns and sequences. They consolidated understanding of whole, half, quarter and three-quarter turns, in terms of right angles, using mathematical vocabulary to describe position, direction and movement. In this unit pupils will rotate 2 lines around a fixed point to make different sized angles. They will identify vertices

In this unit pupils will rotate 2 lines around a fixed point to make different angles. They identify vertices and describe half, quarter and three-quarter turns in terms of right angles.

Right angles

Aisha cuts this rectangle in half using a vertical line. 
What shape will both halves be?

Aisha cuts this rectangle in half using a diagonal line. 
What shapes will both halves be?

Both triangles have two sides of equal length.

Aisha cuts this square into two triangles using one diagonal line. 
Which of these statements is true?

Laura uses two diagonal lines, cutting from each vertex at the top of the square to each at the bottom. 
How many triangles would the rectangle be cut up into?

Aisha cuts a rectangle into four triangles. This is one of the triangles. How many angles inside the shape are smaller than a right angle?

…each triangle will have at least two sides the same length. 

 …you always end up with four triangles.

…all of the triangles will have right angles.

Which statements are always true? 
When you make two diagonal cuts through any rectangle…

It does not have any sides of equal length.

A four-sided polygon with 4 right angles. 

A four-sided polygon with 4 right angles and 4 equal sides.

Match the description to the type of shape. 

Look at this pattern. How many rectangles are there altogether?

Investigate the shapes made when rectangles are cut on the diagonal

Lesson outcome