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?
A Spherical water tank is to be constructed out of plastic materials. If the radius of the tank is 2 meters , and thickness of the water tank is to be 0.5 dm. What is the volume of the materials needed to construct the tank?
Study pp 21-29 of the Curriculum and Assessment Policy Statement (CAPS): Mathematics –
Intermediate Phase, which contains the Intermediate Phase overview for Space and Shape
(Geometry) and Measurement. Thereafter, respond to the following questions:
1.1. Critically review the progression from Grade 4-6 for each of six topics under the content
area, Space and Shape (Geometry). Write a short paragraph (three sentences) for each
topic in which you discuss and motivate whether the progression provides a fair amount of
cognitive and conceptual challenge at the relevant grade levels – too much, too little, or just
right? (14)
Sketch a counterexample showing that each statement is false:
1) Two triangles with three pairs of congruent angles must also have three pairs of congruent sides
1. Critically review the progression from Grade 4-6 for each of six topics under the content
area, Space and Shape (Geometry). Write a short paragraph (three sentences) for each topic in which you discuss and motivate whether the progression provides a fair amount of cognitive and conceptual challenge at the relevant grade levels – too much, too little, or just right?
Affine subspaces , Affine maps
In details
Linear combination and linear dependent set versus Affine combinations and Affine dependent sets
Explanation with detail .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)