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Linear combination and linear dependent set versus Affine combinations and Affine dependent sets

Explanation with detail .theorem.


Affine and euclidean geometry

Q: Collineary of three points, AB/BC. In vector space and affine geometry.

Explanation with detail Proof and theorem .


What is your understanding of a learning strateg


Describe four advantages of using media in teaching mathematics.


Each content area in Mathematics contributes towards the acquisition of specific skills. One 

focus area emphasised is that “the learner should recognize and describe properties of 

numbers and operations, including (i) identity properties, (ii) factors, (iii) multiples, and (iv) 

commutative; (vi) associative and (vii) distributive properties” Describe in brief, what the 

identity property entails and provide two relevant examples. (Hint: use different basic 

operations to clarify your answer)


“Mathematics is a language that makes use of symbols and notations to describe 

numerical, geometric and graphical relationships” (DBE 2011:8). Identify key concepts from 

this definition and give an example in each case.


A person of interest was identified by the police. Using three different telecommunication towers, the police were able to gather the following information about the person's cell phone location. The person is 7 miles away from A(4, 4.6) The person is 5 miles away from B(- 3.5, - 3.8) The person is 6 miles away from C(- 6, 5.5) Use the information from towers A, B, and C to find the approximate location of the person of interest.


1.2 What skills and prior knowledge does a learner need to have before they can understand the steps that you have set out in 1.1? List eight skills/knowledge aspects and explain how these are relevant to the proof in 1.1. (16) Skills or knowledge Relevance to the proof in 1.1 



suggest a sequence of statements that logically prove that the angles opposite the congruent sides of an isosceles triangle are equal in size. explain each statement simply and clearly. use illustrations to enhance your explanation


Use blocked paper, or on square dotted grid and draw five different hexomineos that can be folded into a cube.


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