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The van heile theory and development of geometric thought is very helpful in structuring and teaching geometry.

1. Give an example of how a learner on level 1 will define a rectangle.

2. Give one example of how a learner on level 2 will define a rectangle.

3discuss it's meaning in the context of the classification of quadrilateral as a learner on level 2 would do it.



The phrase “instrumental understanding of mathematics” means that


A particle moves so that its position vector is given by r =cosωti+sinωtj. where ω is a constant.


a)Show that the velocity v of the particle is perpendicular to r, and the velocity acceleration a is directed towards the origin and has magnitude proportional to the distance from the origin.


b) Show also that r × r is a constant vector.


Detailed lesson plan in number and operations for 4th grade learner's, including before, during and after phase


Subject: Affine and Euclidean Geometry

Question: Generalized geometrical incidence?


A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?


ABCD is a quadrilateral with G and H the mid points of line DA and DC respectively. Show that line AB + line DC = 2GH


9 Draw pictures showing how 39 × 6 could be modelled with base-10 blocks or with areas on base-10 grids. (Use at least two of the methods.)


ABCD is a quadrilateral with G and H the mid points of line DA and DC respectively. Show that line AB + line DC = 2GH


miguel finds the equation of a line that is perpendicular to y=ax+b

. If he multiplies the slopes of the two lines, what is the product?


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