Spatial Awareness 
Unit 
KS2 
Year 7 
Year 8 
Year 9 
Area & Volume 
 Work out the perimeters of shapes
 Find areas by counting squares
 Calculate the areas of squares and rectangles
 Identify nets of different 3D shapes
 Know the properties of 3D shapes

 Calculate the area of triangles
 Calculate the area of parallelograms
Calculate the area of kites and rhombus Calculate the perimeter of compound shapes Calculate the area of compound shapes Calculate the surface area of a prism

 Name different parts of a circle
 Calculate the circumference of a circle
 Calculate the area of a circle
 Calculate the volume of a prism

 Calculate the radius and diameter when given the circumference
 Calculate the radius and diameter given the area of a circle
 Calculate the area of a sector
 Calculate the perimeter of a sector
 Calculate the volume of pyramids/cones

Angle Facts 
 Describe the properties of quadrilaterals

 Describe the line and rotational symmetry of 2D shapes
 Use angle sum of a triangle to find a missing angle
 Use the properties of isosceles triangles to find missing angles
 Use properties of equilateral triangles to find missing angles
 Use the angle sum of a quadrilateral to find missing angles
 Work out unknown angles when two or more lines meet or cross at a point

 Combine angle rules to solve multistage problems
 Identify corresponding angles on parallel lines
 Identify alternate angles on parallel lines
 Identify cointerior angles on parallel lines
 Find missing angles using known rules for parallel lines

 Work out exterior angles of regular polygons
 Work out interior angles of a polygon
 Justify the interior angle sum of any polygon
 Read bearings from diagrams
 Draw bearing diagrams

Transformations 

 Describe and carry out translations
 Describe and carry out reflections
 Complete a rotation of a shape

 Describe a rotation
 Enlarge a shape given a scale factor
 Describe and carry out enlargements from a centre with a scale factor
 Transform 2D shapes using a combination of reflection, rotation, enlargement and translation

 Enlarge a shape using fractional scale factors
 Use the ratio of corresponding sides to work out scale factors in similar shapes
 Find missing lengths on similar shapes using scale factors
 Investigate the effect of similarity on area and volume scale factors

Constructions 
 Measure using metric units

 Convert between metric units for scale drawings
 Draw triangles accurately using a ruler and protractor (SAS) (ASA)
 Draw diagrams to scale
 Draw accurate nets of 3D shapes
 Construct triangles using a ruler and compass (SSS)

 Bisect a line using a ruler and compasses
 Construct perpendicular lines using a ruler and compasses
 Bisect angles using ruler and compasses


Right Angled Triangles 

 Use Index notation for powers and roots
 Substitute values into expressions

 Use a calculator to evaluate calculations with powers
 Use Pythagoras to determine whether a triangle is right angled
 Use Pythagoras to find the length of a hypotenuse

 Calculate the length of a short side in a right angled triangle
 Apply Pythagoras to non right angled triangles to determine missing information
 Identify which of the trigonometric ratios will work within a right angled triangle
 Use the trig ratios to calculate a missing side on a right angle triangle
