[Date]
MIP1502
Assignment 3
2024 (369439) -
DUE 9 July 2024
QUESTIONS WITH COMPLETE ANSWERS
, 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]
Question 1.1: Difference between a number sentence and an algebraic expression
• Number Sentence: A number sentence is a mathematical statement that includes
numbers and mathematical operations (like addition, subtraction, multiplication, division)
but doesn't contain any variables. For example:
o 3+5=83 + 5 = 83+5=8
o 12÷4=312 \div 4 = 312÷4=3
• Algebraic Expression: An algebraic expression contains variables, constants, and
mathematical operations. It doesn't have an equal sign, so it's not a statement of equality.
For example:
o 2x+52x + 52x+5
o 3y−73y - 73y−7
Example to differentiate:
• Number Sentence: 3×4=123 \times 4 = 123×4=12
• Algebraic Expression: 2x+32x + 32x+3
In the number sentence, we have specific numbers and an equality sign showing that 3 times 4
equals 12. In the algebraic expression, we have a variable (x) alongside constants and operations,
but no equality is stated.
Question 1.2: Using geometric patterns to help learners understand functions
MIP1502
Assignment 3
2024 (369439) -
DUE 9 July 2024
QUESTIONS WITH COMPLETE ANSWERS
, 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]
Question 1.1: Difference between a number sentence and an algebraic expression
• Number Sentence: A number sentence is a mathematical statement that includes
numbers and mathematical operations (like addition, subtraction, multiplication, division)
but doesn't contain any variables. For example:
o 3+5=83 + 5 = 83+5=8
o 12÷4=312 \div 4 = 312÷4=3
• Algebraic Expression: An algebraic expression contains variables, constants, and
mathematical operations. It doesn't have an equal sign, so it's not a statement of equality.
For example:
o 2x+52x + 52x+5
o 3y−73y - 73y−7
Example to differentiate:
• Number Sentence: 3×4=123 \times 4 = 123×4=12
• Algebraic Expression: 2x+32x + 32x+3
In the number sentence, we have specific numbers and an equality sign showing that 3 times 4
equals 12. In the algebraic expression, we have a variable (x) alongside constants and operations,
but no equality is stated.
Question 1.2: Using geometric patterns to help learners understand functions
