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The total revenue fun

tion (TR), in terms of P and the

ompany's quantity, if a

ommodity sells for R199.00

are?

[1℄ T R = 6 000 − 30P; Q = 30.

[2℄ T R = 6 000P − 30P

2

; Q = 30.

[3℄ T R = P(6 000 − 30P); Q = 24.

[4℄ T R = 6 000 − 30P; Q = 24.


Below are comments from some of the teachers on the use of media in the teaching and learning of Mathematics. How would you respond to each of these comments? Write your response and justify your analysis in each case. a) “I teach in the Intermediate Phase and my learners think the use of media is for the Foundation Phase and I am inclined to agree.” (2) b) “If my learners cannot use the media during tests, why should I spend my valuable teaching time on them?”


Describe four advantages of using media in teaching mathematics


 Exemplify how learners could use mind maps as part of the cognitive learning strategy to illustrate their understanding of “addition of common fractions with different denominators”. 


What is your understanding of a learning strategy? Provide an example.


Do you regard Inquiry approach; learning pathways and problem solving as important strategies for teaching mathematics effectively? Provide reasons for your responses in terms how children learn in each case. 


As a teacher, you make decisions that will either discourage or promote an effective teaching environment for Mathematics. Consider the following examples of teaching and say if each example is a less or more effective teaching strategy and give a reason to illustrate your understanding of effective teaching strategy:

  1. Mrs Barileng asks learners the question that begins with, “What would happen if..?” 
  2. To keep learners interested in Mathematics, Mrs. Naidoo works problems for her learners and “magically” comes up with answers

What is the difference between relational understanding and instrumental understanding? Provide examples to illustrate your understanding.


Writing and solving number sentences prepares learners for writing algebraic expressions and solving equations in the Senior Phase. It also provides opportunity to consolidate learners’ number knowledge. In view of this, compare the content coverage of the topic “number sentences” in Grades 4 and 5. What is the level of complexity (content coverage) Content area General content focus Intermediate Phase specific content focus Space and Shape (Geometry) The study of Space and Shape improves understanding and appreciation of the pattern, precision, achievement and beauty in natural and cultural forms. It focuses on the properties, relationships, orientations, positions and transformations of two-dimensional shapes and three dimensional objects. 36 in each grade? Focus only on Term 1 content


Explain, with illustrations, how you would use rounding off and compensation as calculation techniques to judge the reasonableness of solutions. Give one example in each case. (Guidelines: Use addition of four 3-digit numbers as an example; simplify the problem using any method; judge the reasonableness of the answer using (i) rounding off and (ii)compensation techniques) (Refer to mathematics CAPS document on page 132 for more information) 


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