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Algebra
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Framework for Teaching Mathematics at Key Stage 3
(Year 6 also included)
The resources referenced for Algebra and Shape, Space and Measures are either to material already existing on MathsNet, or to new (indicated with new) material created specifically for the NNS.

MathsNet's Number cruncher numeracy collection
References to ICT in the Framework
Further details, sources, credits, technical





Algebra
A complete course in graphs

Year 7
year 7 algebra
  • Simplify linear expressions. new: Linear expressions
  • Read and plot coordinates in all four quadrants. new: Coordinates
  • Generate coordinate pairs that satisfy a simple linear rule. new: Coordinate pairs
  • Plot graphs of simple linear functions, where y is given explicitly in terms of x, using ICT. new: Straight lines 1
  • Recognise straight line graphs parallel to the x-axis or y-axis.new: Straight lines 2
  • Begin to plot and interpret graphs of simple linear functions arising from real life situations.
Year 8
year 8 algebra Year 9
year 9 algebra
  • Find the inverse of a linear function and plot its graph. new: Straight lines
  • Know simple properties of quadratic functions.
  • Generate points and plot graphs of linear functions. new: ax+by=c, y+bx+c=0 using ICT.
  • Given values of m and c, find the gradient of lines given by equations of the form y=mx+c. new: gradient
  • Investigate the gradients of parallel lines. new: parallel
  • I nvestigate the gradients of perpendicular lines. new: perpendicular
  • Plot graphs of simple quadratic functions. new: y=ax², y=ax²+5, y=ax²+b
  • Plot graphs of simple quadratic and cubic functions. new: y=ax³, y=ax³-3, y=ax³+b

Shape, space and measures
An interactive glossary of terms

Year 6
year 6 shape, space and measures
  • Classify quadrilaterals, using criteria such as parallel sides, equal angles, equal sides... MathsNet: Shape
  • Recognise where a shape will be after reflection MathsNet: Reflection
  • Read and plot coordinates in all four quadrants. new: Coordinates
  • Recognise and estimate angles MathsNet: Shape
  • Recognise where a shape will be after a rotation through 90 degrees about one of its vertices MathsNet: Rotation
Year 7
year 7 shape, space and measures
  • Understand and use the language and notation associated with reflections, translations and rotations. MathsNet: Transformations
  • Recognise and visualise the transformation and symmetry of a 2D shape:
  • reflection in a given mirror line, and line symmetry. MathsNet: Shape
  • translation. MathsNet: Transformations
  • rotation about a given point, and rotation symmetry.MathsNet: Rotation
  • explore these transformations and symmetries using ICT . MathsNet: Transformations
Year 8
year 8 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. MathsNet: Transformations
  • Given the coordinates of point A and B, find the midpoint of the line segment AB. MathsNet: Construction
Year 9
year 9 shape, space and measures
  • Transform 2D shapes by combinations of translations, rotations and reflections using ICT. MathsNet: Transformations.
  • Know that translations, rotations and reflections preserve length and angle and map objects onto congruent images. MathsNet: Transformations
  • Enlarge 2D shapes, given a centre of enlargement and a positive whole number scale factor, using ICT. Extends to using a fractional scale factor, recognise the similarity of the resulting shapes. MathsNet: Transformations
  • Identify the scale factor of an enlargement as the ratio of the lengths of any two corresponding lines segments. MathsNet: Transformations
  • Recognise that enlargements preserve angle but not length and understand the implications of enlargement for perimeter and area. MathsNet: Transformations
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