MIP1502 Assignment 3
2024 (369439) - DUE 9
July 2024
[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]
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 operations (like addition, subtraction, multiplication,
division) but does not have any variables. It is typically a complete statement
that can be evaluated to a numerical value.
o Example: 3+5=83 + 5 = 83+5=8
• Algebraic Expression: An algebraic expression contains variables,
constants, and operations. It represents a mathematical phrase that can have
variables replaced by specific values. It doesn't contain an equal sign, so it's
not a complete statement but rather a part of an equation or inequality.
o Example: 2x+42x + 42x+4
Explanation: In the number sentence 3+5=83 + 5 = 83+5=8, all terms are
numbers, and it forms a complete statement that can be evaluated. In contrast, the
algebraic expression 2x+42x + 42x+4 contains a variable xxx and represents a
mathematical phrase rather than a statement with a definitive value.
2024 (369439) - DUE 9
July 2024
[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]
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 operations (like addition, subtraction, multiplication,
division) but does not have any variables. It is typically a complete statement
that can be evaluated to a numerical value.
o Example: 3+5=83 + 5 = 83+5=8
• Algebraic Expression: An algebraic expression contains variables,
constants, and operations. It represents a mathematical phrase that can have
variables replaced by specific values. It doesn't contain an equal sign, so it's
not a complete statement but rather a part of an equation or inequality.
o Example: 2x+42x + 42x+4
Explanation: In the number sentence 3+5=83 + 5 = 83+5=8, all terms are
numbers, and it forms a complete statement that can be evaluated. In contrast, the
algebraic expression 2x+42x + 42x+4 contains a variable xxx and represents a
mathematical phrase rather than a statement with a definitive value.
