Home        Schemes of work        Key Stage 3        Key Stage 4        Post 16

YEAR 8 : shape, space and measures

The content for this section is sub-divided into the following areas:

Geometrical reasoning Transformations Co-ordinates
Construction and loci Measures and mensuration  

Geometrical reasoning: lines angles and shapes        Top

Y6 Objectives Y7 Objectives Y8 Objectives Resources
 
  • Use correct vocabulary and labelling conventions
  • Identify alternate angles and corresponding angles
 
 
  • Identify parallel and perpendicular lines
   
 
  • Know the sum of angles in a triangle
  • Know the sum of angles at a point
  • Know the sum of angles on a straight line
  • Understand a proof that angles in triangle add up to 180º
  • Understand proof that angles in quadrilaterals add to 360º
  • proof that ext. angle of triangle = sum of opp. int. angles
O  Angle rules
 
  • Recognise vertically opposite angles
   
 
  • Begin to use properties of shapes to solve problems
  • Know and use properties of shapes to solve problems
 
   
  • Know properties of congruent shapes
 
   
  • Know/use properties of cuboids and composite shapes
 
 
  • Use 2-D representations to visualise 3-D shapes
  • Begin to use plans and elevations
O O isometric grids

Transformations                                                            Top

Y6 Objectives Y7 Objectives Y8 Objectives Resources
 
  • Understand the language and notation
  • Transform 2-D shapes by combinations of transformations
S Bathroom tiles (BBC Maths file)
 
  • Reflection in given mirror lines
   
 
  • Line and rotational symmetry
  • Identify all the symmetries of 2-D shapes
O squared paper grid
 
  • Translation
   
 
  • Rotation about a given point
   
 
  • Explore transformation and symmetries using ICT
  • Understand/use the language and notation of enlargement
  • Enlarge 2-D shapes, given centre and +ve scale factor
  • Explore enlargements using ICT
S Bathroom tiles (BBC Maths file)
   
  • Make simple scale drawings
 

Co-ordinates                                                                        Top

Y6 Objectives Y7 Objectives Y8 Objectives Resources
 
  • Use convention and notation - all four quadrants
   
 
  • Find co-ordinates of points from geometric information
  • Given the co-ords of A and B, find the midpoint of AB
O W W co-ordinate grids

Construction and loci                                                           Top

Y6 Objectives Y7 Objectives Y8 Objectives Resources
 
  • Measure and draw lines to the nearest mm

  • Measure and draw angles to the nearest degree (all types)
  • Construct the midpoint and perpendicular bisector
  • Construct the bisector of an angle
  • Construct the perpendicular from a point to a line
  • Construct the perpendicular from a point on a line
 
 
  • Construct triangles (ASA or SSA)
  • Construct triangles (SSS)
 
   
  • Find simple loci to produce shapes and paths
 
 
  • Construct nets of simple shapes using ruler and protractor
   
 
  • Explore constructions using ICT
  • Use ICT to explore constructions
 

Measures and mensuration                                                Top

Y6 Objectives Y7 Objectives Y8 Objectives Resources
 
  • Use names and abbreviations of units 
  • Estimate, calculate and solve problems in contexts
  • problems involving length 
  • problems involving area
  • problems involving volume and capacity
  • problems involving mass
  • problems involving time
W time - how long?
 
  • Convert one metric unit to another
 
  • Know rough metric equivalents of imperial measures
S animal weigh in (BBC Maths file)

L&W lemon meringue pie

 
  • Read and interpret scales on a range of equipment
   
 
  • Distinguish between acute, obtuse and reflex angles
  • Estimate the size of any angle
  • Use bearings to specify direction
  • problems involving angles and bearings
 
 
  • Calculate perimeters of shapes made from rectangles
   
 
  • Calculate areas of shapes made from rectangles

 

  • Deduce and use formula for the area of a triangle
  • Deduce and use formula for the area of a parallelogram
  • Deduce and use formula for the area of a trapezium
  • Calculate areas of compound shapes
 
 
  • Calculate the surface area of cubes and cuboids
   
   
  • Know and use formula for the volume of a cuboid
 
   
  • Calculate s.area and volumes of cuboids and composites
W Cubes