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How learners thinks about the triangles at level 1,2 and 3 of van hiele levels of geometric thought

Name a non-polyhedral and say why it cannot be a platonic solid

Are any platonic solids pyramids? If so which one(s) ?name the pyramid and explain it is a pyramid?

(a) Where in the world do we find evidence that people measured things? (1)

(b) Approximately to what year does this evidence date back? (1)

(c) Give detail of how measuring was done in that time. (2)

(d) Where in CAPS is this type of measurement covered as a topic

Where in CAPS is this type of geometry covered as a topic?

Describe van Hiele Level 1 (analysis), Level 2 (informal deduction) and Level 3 (deduction). Demonstrate the difference by using a scalene, isosceles and equilateral triangle as an example to explain learner thinking at the three different levels.

Level 1: Analysis (1) How learner thinks about the triangles at Level 1: (3) Level 2: Informal deduction (1) How learner thinks about the triangles at Level 2: (3) Level 3: Deduction (1) How learner thinks about the triangles at Level 3: (3) Sketch of scalene, isosceles and equilateral triangles (3)

1.2. Measurement

(a) where in the world that people measured things?

(b) approximately 2 what year does this evidence date back?

(c) give details of how measuring was done in that time?

(d) where in the caps is this type of geometry covered as topic?

Measurements

A. Where in the world do we find evidence that people measured things?

B. Approximately to what year does this evidence date back?

C. Give details of how measuring was done in that time?

D. Where in caps is this type of measurement covered as a topic?

1.3 Geometry

(a)Where in the world do we find some early evidence of geometry? (1)

(b)Approximately to what year does this evidence date back? (1)

(c)Give detail of how geometry was practiced in your example.( 2)

1.1 Counting

(a) Where in the world do we find some early evidence that people counted? (1)

(b) Approximately to what year does this evidence date back? (1)

(c) Give detail of how counting was done in the example which you chose. (2)

(c) Where in CAPS is this type of counting covered as a topic? (1)

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