Shape and Space - Shape and Space

  1. Step 6
    Transform 2-D shapes by simple combinations of rotations, reflections and translations, on paper and using ICT; identify all the symmetries of 2-D shapes. View step.

  2. Step 7
    Use a straight edge and compasses to construct:
    • the midpoint and perpendicular bisector of a line segment;
    • the bisector of an angle;
    • the perpendicular from a point to a line;
    • the perpendicular from a point on a line.
    Construct a triangle, given three sides (SSS); use ICT to explore these constructions. View step.

     
    Identify alternate and corresponding angles; understand a proof that the sum of the angles of a triangle is 180° and of a quadrilateral is 360°. View step.

     
    Classify quadrilaterals by their geometric properties. View step.

     
    Enlarge 2-D shapes, given a centre of enlargement and a positive whole-number scale factor. View step.

  3. Step 8
    Know that translations, rotations and reflections preserve length and angle, and map objects on to congruent images. View step.

     
    Visualise and use 2-D representations of 3-D objects; analyse 3-D shapes through 2-D projections, including plans and elevations. View step.

  4. Step 9
    Explain how to find, calculate and use the interior and exterior angles of regular polygons. View step.

     
    Enlarge 2-D shapes by a positive whole-number or fractional scale factor. View step.

     
    Find the locus of a point that moves according to a given rule, both by reasoning and by using ICT. View step.

  5. Step 10
    Solve problems using properties of angles, of parallel and intersecting lines, and of triangles and other polygons, justifying inferences and explaining reasoning with diagrams and text. View step.

Steps 1 to 5