An equation is used to show two expressions that are equal to each other.

The perimeter is the distance around a 2D shape.

The area is the size of the surface and states the number of unit squares needed to completely cover that surface.

Equations from complex shapes

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

Shapes on coordinate grids

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

Given that the perimeter of this rectangle is 76 cm, then $$x=$${{}}.

Which of these equations are true for this square?

The perimeter of this isosceles triangle is 53 cm. The length of the unmarked edge is {{ }} cm.

Given that this is a parallelogram, complete the equation: $$5x-9=$$___________. 

Given that these two shapes have equal areas, then $$x=$${{ }}.

The area of this rectangle is 48 square centimetres. The perimeter is {{ }} cm.

The solution to $$6(2m-7)=42$$ is $$m=$${{ }}.

The solution to $$6y-5=2y+25$$ is $$y=$${{ }}.

The solution to $$8x+9=28-2x$$ is $$x=$${{ }}.

The solution to $$\frac{5t+12}{3}=9$$ is $$t=$${{ }}.

The solution to $$6(5d+2)=3(9d-1)$$ is $$d=$${{ }}.

Equations from complex shapes

Lesson outcome