AS 1.8 Geometry Internal on the 16th of June 2011. 3 real credits.


What is in the test? Like the number and measurement internals there is a big question with a lot of different parts to it. You will need to construct, draw an isometric diagram, write instructions, use a scale, draw plan, top and side views, create a net and read a complex question.
Isometric links
http://illuminations.nctm.org/lessons/isometric/Isometric-OVH-FRTViews.pdf
http://illuminations.nctm.org/activitydetail.aspx?id=125
http://nlvm.usu.edu/en/nav/frames_asid_129_g_2_t_3.html?open=activities
http://nlvm.usu.edu/en/nav/frames_asid_195_g_4_t_3.html?open=activities&from=category_g_4_t_3.html to move the 3d shapes about

Course information and workbook (standard) Page 46 to 49; 90 to 105; 131 to 141 (Do all these pages prior to internal)
Page 86 to 89 (missing?) see nzqa for the practice internals.

From http://www.studyit.org.nz/subjects/maths/math1/8/

Mathematics 1.8 Apply knowledge of geometric representations in solving problems

Key tips

  • Make sure you learn the correct mathematical terms for constructions, transformations, and coordinates.
  • Practise drawing scale diagrams.
  • Learn how to do the basic constructions accurately.
  • You must use a ruler, compass, and sharp pencil for your constructions.
  • Do not rub out your construction arcs when you have finished. This how your marker knows what you did.
  • Practise designing patterns (to use in a logo or frieze), using transformations and constructions.
  • Learn how to use appropriate equipment and technology
  • Learn to use isometric paper for drawing 3-D diagrams.

For transformations you must specify the:
  • distance and the direction of the movement (for translations)
  • mirror line (for reflection)
  • centre, angle of rotation, and the direction (for rotation)
  • centre and scale factor (for enlargement).

For constructions you must specify the:
  • type of construction
  • position
  • direction if appropriate.

Where to start? Why not learn all the constructions?
But first lets start thinking and observing special truths...if we understand WHY the constructions work we can remember them easier!

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http://www.mathsisfun.com/geometry/constructions.html
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http://www.studyit.org.nz/subjects/maths/math1/8/
Quotes from above site:
For transformations you must specify the:
•distance and the direction of the movement (for translations)
•mirror line (for reflection)
•centre, angle of rotation, and the direction (for rotation)
•centre and scale factor (for enlargement).
http://geogebraart.wikispaces.com/Geometric+Transformations

For constructions you must specify the:
•type of construction
•position
•direction if appropriate.

Subject content
•two-dimensional coordinate systems (grid map references) •scale diagrams
•bearings http://www.bbc.co.uk/schools/gcsebitesize/maths/shapes/coordinatesandbearingsrev3.shtml
•locus http://www.s-cool.co.uk/gcse/maths/measurement/revise-it/locus
•constructions http://www.bbc.co.uk/schools/gcsebitesize/maths/shapes/locirev2.shtml
•nets http://www.bbc.co.uk/schools/ks3bitesize/maths/shape_space/3d_shapes/revise3.shtml
•two dimensional representations of three dimensional objects. http://illuminations.nctm.org/ActivityDetail.aspx?ID=125

http://www.bbc.co.uk/scotland/education/sysm/landscapes/highlands_islands/flash/index.shtml?flash=land_ms_grid_ref
http://www.bbc.co.uk/schools/gcsebitesize/maths/shapes/



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