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
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- 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
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- Name different parts of a circle
- Calculate the circumference of a circle
- Calculate the area of a circle
- Calculate the volume of a prism
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- 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
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Angle Facts |
- Describe the properties of quadrilaterals
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- 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
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- 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
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- 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
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Transformations |
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- Describe and carry out translations
- Describe and carry out reflections
- Complete a rotation of a shape
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- 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
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- 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
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Constructions |
- Measure using metric units
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- 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)
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- Bisect a line using a ruler and compasses
- Construct perpendicular lines using a ruler and compasses
- Bisect angles using ruler and compasses
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Right Angled Triangles |
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- Use Index notation for powers and roots
- Substitute values into expressions
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- 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
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- 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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