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National Numeracy Strategy references for Year 6,7,8,9
The following are quotes from the Draft yearly teaching programmes in the Framework for teaching Years 7 to 9. No doubt the wording will change when the final document appears.



Year 6
Shape, space and measures
  • Use conventions and notation for 2D coordinates in all four quadrants

Year 7
Algebra
  • Generate coordinate pairs that satisfy a simple linear rule.
  • Plot graphs of simple linear functions, where y is given explicitly in terms of x, on paper and using ICT.
  • Recognise straight line graphs parallel to the x-axis or y-axis.
  • Begin to plot and interpret graphs of simple linear functions arising from real life situations.

Shape, space and measures
  • Understand and use the language and notation associated with reflections, translations and rotations.
  • Recognise and visualise the transformation and symmetry of a 2D shape:
  • reflection in a given mirror line, and line symmetry
  • translation
  • rotation about a given point, and rotation symmetry
  • explore these transformations and symmetries using ICT

Year 8
Algebra
  • Recognise that equations of the form y=mx+c correspond to straight-line graphs
Shape, space and measures
  • Understand and use the language and notation associated with enlargement; enlarge 2D shapes, given a centre of enlargement and a positive whole number scale factor; explore enlargement using ICT.
  • Given the coordinates of point A and B, find the midpoint of the line segment AB.

Year 9
Algebra
  • Find the inverse of a linear function and plot its graph.
  • Know simple properties of quadratic functions.
  • Generate points and plot graphs of linear functions, e.g. ay+bx=c, y+bx+c=0 on paper and using ICT.
  • Given values of m and c, find the gradient of lines given by equations of the form y=mx+c.
  • Investigate the gradients of parallel lines and lines perpendicular to the lines.
  • Plot graphs of simple quadratic and cubic functions.
Shape, space and measures
  • Transform 2D shapes by combinations of translations, rotations and reflections on paper and using ICT.
  • Know that translations, rotations and reflections preserve length and angle and map objects onto congruent images.
  • Enlarge 2D shapes, given a centre of enlargement and a positive whole number scale factor, on paper and using ICT. Extends to using a fractional scale factor, recognise the similarity of the resulting shapes.
  • Identify the scale factor of an enlargement as the ratio of the lengths of any two corresponding lines segments.
  • Recognise that enlargements preserve angle but not length and understand the implications of enlargement for perimeter and area.