An equation of a line is any equation whose graph forms a straight line. These equations can be written in the form y = mx + c.

Shapes on coordinate grids

Maths

Checking and securing understanding of converting between metric and imperial measures

Checking and securing understanding of scales and conversion

Checking and securing understanding of perimeter for compound shapes

Checking and securing understanding of area for compound shapes

Perimeter and area in a contextual setting

Calculating arc length

Area of a sector

Area of compound shapes

Shapes within shapes

Equations from complex shapes

Problem solving with complex 2D shapes

In this unit, pupils built upon their prior learning of the area of different shapes. In the future unit, pupils will continue to further develop their understanding of shapes by considering surface area and volume of pyramids, spheres and cones.

In the prior unit, pupils derived the formula for the circumference and area of a circle. In this unit, this knowledge is combined with knowledge of fractions to find the arc length and area of a sector.

In this unit, knowledge of circles and polygons is drawn upon to find the arc length and area of a circle sector and areas of complex compound shapes.

2D and 3D shape: compound shapes

To find the length of the line segment CD you need to use {{}} theorem.

The perimeter of trapezium ABCD is {{ }} units (to 1 decimal place).

The area of triangle QPR is {{ }} units².

Calculate the area of the triangle bound by the three straight lines with equations:
$$y=2$$, 
$$y=x$$, 
$$x+y=12$$.
The area is {{ }} units².

Choose the pair of coordinates that is the midpoint of the line segment AB.

The pair of coordinates that is the midpoint of the line segment CD are {{ }}.

Which of these calculations finds the gradient of the line segment AB?

The gradient of the line segment CD is {{ }} to 3 decimal places.

The length of the hypotenuse of this triangle is {{ }} cm to 2 decimal places.

Find the perimeter of this triangle. Give your answer in metres, correct to the nearest metre.

Shapes on coordinate grids

Lesson outcome