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
• 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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