Exam (elaborations)
MAE201M EXAM PACK 2023
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- University Of South Africa
MAE201M EXAM PACK 2023
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MAC2601 EXAMPACK 2023
QUESTIONS AND
ANSWERS
,Dear Student
This tutorial letter 201 serves as feedback to Assignment 02. Please note that you will find more
feedback in the study guide. Answers to most questions may vary depending on your
teaching/learning experience and understanding of the mathematics content. Hence, I have
provided general responses that might differ from your responses but address the same concepts
in some questions.
Please do not hesitate to contact your lecturer if you need further clarification.
, MAE201M /201
1 FEEDBACK ON ASSIGNMENT 2
Question 1
Algebraic thinking
Strands of algebraic thinking:
Read the section on “strands of algebraic thinking” on page 324 of the prescribed book.
Then turn to the study guide and read carefully through section 1.1.2 (explaining
algebra) on pages 7 – 9. Four points are mentioned.
1.1 For each of those points, use your own words to show your understanding of that
point. (4)
• Point 1: School algebra develops out of arithmetic.
• Point 2: Word problems can be represented using informal/formal
mathematical symbols.
• Point 3: We can think of algebra as generalized arithmetic.
• Point 4: Algebraic thinking involves recognizing relationships between
numbers.
1.2 Provide your examples to illustrate each of the four points. (4)
See examples on pages 7 – 9 of the study guide
1.3 Discuss how algebraic thinking differs from arithmetic thinking. Use examples to
illustrate the differences. (10)
Answers may vary, including examples to illustrate the differences:
The distinction between arithmetic thinking and algebraic thinking lies in how one
approaches problems:
• In arithmetic thinking, the focus is on solving a problem,
• In algebraic thinking, the focus is on representing a problem
[18]
Question 2
Developing algebraic reasoning
Bridging the gap between arithmetic and algebra.
Read the section on “Bridging the gap between arithmetic and algebra” on page 19 in
the study guide. Do the following tasks 1 and 2 of activity 2.1.
2.1 Task 1 (16)
, Toffees No. of pots Butter (kg) Sugar (kg) Cocoa (kg)
Soft Choc (SC) 6 6 × 6 = 36 8 × 6 = 48 4 × 6 = 24
Hard Choc (HC) 9 4 × 9 = 36 12 × 9 = 108 2 × 9 = 18
Total 6 × 6 + 4 × 9 = 72 8 × 6 + 12 × 9 = 156 4 × 6 + 2 × 9 = 42
Task 2 no. 4
Number of pots of Amount needed in kg
Hardchoc Softchoc Butter Sugar Cocoa
0 15 90 120 60
1 14 88 124 58
2 13 86 128 56
3 12 84 132 54
4 11 82 136 52
5 10 80 140 50
6 9 78 144 48
7 8 76 148 46
8 7 74 152 44
9 6 72 156 42
10 5 70 160 40
11 4 68 164 38
12 3 66 168 36
13 2 64 172 34
14 1 62 176 32
15 0 60 180 30
2.2 You gave the task in the frame below to your Grade 6 learners. Answer the
questions that follow.
Task
a) Evaluate each of the following expressions:
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