MIP1502 Assignment 3
2024 (369439) - DUE 9
July 2024
QUESTIONS WITH COMPLETE ANSWERS
[DATE]
[COMPANY NAME]
[Company address]
, MIP1502 Assignment 3 2024 (369439) - DUE 9 July 2024
Question 1
1.1 Use examples to explain the difference between a number sentence and an
algebraic expression. (4)
1.2 Explain how you can use geometric patterns to help learners to
understand functions. (4)
1.2 Using Geometric Patterns to Help Learners Understand Functions
1.3 List three different ways to represent a pattern (6)
1.4 Why is algebraic thinking important for solving real-world problems? (6)
1.5 The sum of two positive integers is three times their difference. The
product of the two numbers is four times their sum. Show that the sum of the
two numbers cannot have three prime factors. (6) [26]
1.1 Difference between a number sentence and an algebraic expression
Number Sentence: A number sentence is a mathematical statement that contains
numbers and mathematical operations, typically expressing a relationship between
quantities. It does not contain any variables. For example: 3+5=83 + 5 = 83+5=8
10−2=810 - 2 = 810−2=8
These are number sentences because they are statements involving actual numbers
and arithmetic operations.
Algebraic Expression: An algebraic expression contains variables, numbers, and
operations. It represents a mathematical phrase that can include constants and
variables, but does not have an equals sign. For example: 3x+23x + 23x+2 2y−72y
- 72y−7
These are algebraic expressions because they involve variables (like xxx and yyy)
along with numbers and arithmetic operations.
Difference Illustrated:
• Number Sentence Example: 3+5=83 + 5 = 83+5=8
2024 (369439) - DUE 9
July 2024
QUESTIONS WITH COMPLETE ANSWERS
[DATE]
[COMPANY NAME]
[Company address]
, MIP1502 Assignment 3 2024 (369439) - DUE 9 July 2024
Question 1
1.1 Use examples to explain the difference between a number sentence and an
algebraic expression. (4)
1.2 Explain how you can use geometric patterns to help learners to
understand functions. (4)
1.2 Using Geometric Patterns to Help Learners Understand Functions
1.3 List three different ways to represent a pattern (6)
1.4 Why is algebraic thinking important for solving real-world problems? (6)
1.5 The sum of two positive integers is three times their difference. The
product of the two numbers is four times their sum. Show that the sum of the
two numbers cannot have three prime factors. (6) [26]
1.1 Difference between a number sentence and an algebraic expression
Number Sentence: A number sentence is a mathematical statement that contains
numbers and mathematical operations, typically expressing a relationship between
quantities. It does not contain any variables. For example: 3+5=83 + 5 = 83+5=8
10−2=810 - 2 = 810−2=8
These are number sentences because they are statements involving actual numbers
and arithmetic operations.
Algebraic Expression: An algebraic expression contains variables, numbers, and
operations. It represents a mathematical phrase that can include constants and
variables, but does not have an equals sign. For example: 3x+23x + 23x+2 2y−72y
- 72y−7
These are algebraic expressions because they involve variables (like xxx and yyy)
along with numbers and arithmetic operations.
Difference Illustrated:
• Number Sentence Example: 3+5=83 + 5 = 83+5=8
