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MIP1502 Assignment 2 (COMPULSORY) 2025 (720991) - DUE 9 June 2025

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MIP1502 Assignment 2 (COMPULSORY) 2025 (720991) - DUE 9 June 2025 ;100 % TRUSTED workings, Expert Solved, Explanations and Solutions. For assistance call or W.h.a.t.s.a.p.p us on ...(.+.2.5.4.7.7.9.5.4.0.1.3.2)........... Mathematics for Intermediate II - MIP1502 Question 1 MIP1502/102_2/0/2025 1.1 Algebra is often introduced in primary school through patterns, number sentences, and symbolic reasoning. Critically evaluate the rationale for introducing algebraic thinking in the Foundation and Intermediate Phases. In your response: 1.1.1 Discuss at least two pedagogical benefits of early algebra exposure. 1.1.2 Identify one common misconception learners may develop and explain how it can be addressed. 1.1.3 Justify how early algebra supports progression into formal algebra in later grades. 1.2 Many learners struggle with the concept of multiplying negative numbers. Design a mini-lesson (not just explanations) that includes: 1.2.1 A real-world context 1.2.2 A visual model 1.2.3 A pattern-based reasoning approach 1.2.4 Explain how each method supports conceptual understanding. Question 2 2.1 Translate the following real-world scenarios into algebraic expressions or equations. Then solve them. 2.1.1 A machine depreciates in value by 15% annually. If it was worth R120,000 initially, what is its value after 3 years? 2.1.2 A recipe calls for 2 parts flour, 3 parts sugar, and 5 parts water. If you have 1.2 kg of sugar, how much flour and water are needed to maintain the ratio?. 2.1.3 A plumber charges a call-out fee and an hourly rate. A 3-hour job costs R870, and a 5-hour job costs R1,250. Determine the call-out fee and hourly rate. 2.2 Create a real-world context for

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MIP1502
ASSIGNMENT 2 2025

UNIQUE NO.
DUE DATE: 9 JUNE 2025

, Mathematics for Intermediate II

QUESTION 1

1.1 Introducing Algebraic Thinking in the Foundation and Intermediate Phases

1.1.1 Pedagogical Benefits
Benefit 1: Introducing algebra early helps children to start understanding patterns and
relationships in numbers. For example, when learners notice that each row in a table
increases by the same amount, they are beginning to think algebraically. This builds a
strong base for future topics like equations and functions.

Benefit 2: It also improves problem-solving skills. When learners are taught how to
generalise and think logically from an early age, they learn to find solutions even when
problems are presented in unfamiliar ways. This critical thinking is useful in both maths
and daily life.

1.1.2 Common Misconception and Solution
A common mistake learners make is thinking that the equal sign (=) means "the answer
comes next" instead of "both sides are the same." For example, they might say 3 + 4 =
7 + 2 because 7 + 2 is after the equal sign, not understanding balance.

How to Address It: Use balance scales or number sentences like 3 + 4 = 5 + 2 to teach
that both sides must be equal, not just a sequence.

1.1.3 Justification for Early Algebra
Starting algebra early makes the shift into more formal algebra in later grades smoother.
When learners are already used to using symbols and patterns, they will find it easier to
understand variables, expressions, and equations in senior grades.

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