Objectives:


Support:

  • Identify all the symmetries of 2-D shapes.
  • Understand and use the language and notation associated with enlargement.
  • Make simple scale drawings.
  • Consolidate understanding of the relationship between ratio and proportion; reduce a ratio to its simplest form, including a ratio expressed in different units.
  • Know and use geometric properties of cuboids and shapes made from cuboids.

Core:

  • Transform 2-D 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 on to congruent images; identify reflection symmetry in 3-D shapes.
  • Enlarge 2-D shapes, given a centre of enlargement and a whole-number scale factor, on paper and using ICT; identify the scale factor of an enlargement as the ratio of the lengths of any two corresponding line segments; recognise that enlargements preserve angle but not length, and understand the implications of enlargement for perimeter.
  • Use and interpret maps and scales drawings.
  • Use proportional reasoning to solve a problem; interpret and use ratio in a range of contexts.
  • Visualise and use 2-D representations of 3-D objects; analyse 3-D shapes through 2-D projections, including plans and elevations.

Extension:

  • Enlarge 2-D shapes, given a fractional scale factor; recognise the similarity of the resulting shapes; understand the implications of enlargement for area and volume.
  • Begin to use sine, cosine and tangent in right-angled triangles to solve problems in two dimensions.
  • Recognise limitations on the accuracy of measurements.

Key Vocabulary:

  • 2-D shapes: (congruent, tessellate, tessellation); triangles: (scalene, isosceles, equilateral, right-angled); quadrilaterals: (square, rectangle, parallelogram, rhombus, trapezium, kite, delta);
  • 3-D: (cube, cuboid, pyramid, tetrahedron, prism, cylinder, sphere, hemisphere, face, edge, vertex, vertices, net); plan view, front & side elevation

Suggested Lesson Outcomes:


SUPPORT TARGET CORE

Framework:













Teaching & Learning Resources:



Translation Resources
Reflection Resources
Rotation Resources
Enlargement Resources
Scale Drawing Resources
Ratio Resources
3D Shapes Resources
Trigonometry Resources
Measures Resources[[http://del.icio.us/tag/msow_Imperial|]]