Students

Spatial Awareness

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

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