MTE1501
ASSIGNMENT 3 2025
UNIQUE NO. 212545
DUE DATE: 15 JULY 2025
,MTE1501 Assignment 3 (2025)
Unique Number 212545
3.1 LU1: Mathematics in Society
Define the three views of mathematics as per section 1.3.1:
1. Platonist View:
o Mathematics is viewed as discovered, not invented.
o Mathematical truths exist independently of human thought.
o E.g., 2 + 2 = 4 is eternally true regardless of human existence.
2. Problem-Solving View:
o Mathematics is developed to solve real-world problems.
o Emphasizes application and creativity.
o E.g., Using algebra to calculate budgets or area for farming.
3. Human Construct View:
o Mathematics is a human creation developed over time.
o It's shaped by culture, language, and history.
o E.g., Different counting systems in African vs. Roman cultures.
✅ (10 marks)
3.2 LU2: Teaching and Learning Mathematics
3.2.1 Choose a topic and show cross-content connections
Topic: Fractions
Numbers & Operations: Understanding fractions as part of wholes.
Algebra: Using fractions in equations.
, Measurement: Interpreting fractional lengths.
Data Handling: Pie charts and probabilities.
Geometry: Fractions of shapes.
Explanation: A fraction such as ¾ can be:
Used to divide a budget (Numbers).
Represented on a pie chart (Data).
Used in a formula for volume (Algebra/Measurement).
Represented visually as ¾ of a rectangle (Geometry).
✅ (10 marks)
3.2.3 LU3
a. Representations and Number Sentences
Representation 1 (Group Addition):
7 boxes × (5 red + 4 green) apples
→ (5 + 4) × 7 = 9 × 7 = 63
Representation 2 (Distributive):
Red apples: 7 × 5 = 35
Green apples: 7 × 4 = 28
→ 35 + 28 = 63
✅ (6 marks)
b. Identify properties
Associative Property: (5 + 4) grouped first before multiplication.
Distributive Property: 7 × 5 + 7 × 4 = 35 + 28
ASSIGNMENT 3 2025
UNIQUE NO. 212545
DUE DATE: 15 JULY 2025
,MTE1501 Assignment 3 (2025)
Unique Number 212545
3.1 LU1: Mathematics in Society
Define the three views of mathematics as per section 1.3.1:
1. Platonist View:
o Mathematics is viewed as discovered, not invented.
o Mathematical truths exist independently of human thought.
o E.g., 2 + 2 = 4 is eternally true regardless of human existence.
2. Problem-Solving View:
o Mathematics is developed to solve real-world problems.
o Emphasizes application and creativity.
o E.g., Using algebra to calculate budgets or area for farming.
3. Human Construct View:
o Mathematics is a human creation developed over time.
o It's shaped by culture, language, and history.
o E.g., Different counting systems in African vs. Roman cultures.
✅ (10 marks)
3.2 LU2: Teaching and Learning Mathematics
3.2.1 Choose a topic and show cross-content connections
Topic: Fractions
Numbers & Operations: Understanding fractions as part of wholes.
Algebra: Using fractions in equations.
, Measurement: Interpreting fractional lengths.
Data Handling: Pie charts and probabilities.
Geometry: Fractions of shapes.
Explanation: A fraction such as ¾ can be:
Used to divide a budget (Numbers).
Represented on a pie chart (Data).
Used in a formula for volume (Algebra/Measurement).
Represented visually as ¾ of a rectangle (Geometry).
✅ (10 marks)
3.2.3 LU3
a. Representations and Number Sentences
Representation 1 (Group Addition):
7 boxes × (5 red + 4 green) apples
→ (5 + 4) × 7 = 9 × 7 = 63
Representation 2 (Distributive):
Red apples: 7 × 5 = 35
Green apples: 7 × 4 = 28
→ 35 + 28 = 63
✅ (6 marks)
b. Identify properties
Associative Property: (5 + 4) grouped first before multiplication.
Distributive Property: 7 × 5 + 7 × 4 = 35 + 28
