MIP1502 Assignment 3
2024 (369439)
Updated and
elaborate answers
, MIP1502 Assignment 3 2024 (369439) - DUE 9 July 2024 ;100% TRUSTED workings, explanations and
solutions
Question 1
1.1 Use examples to explain the difference between a number sentence and an algebraic expression. (4)
A number sentence is a mathematical statement that contains numbers and operations and
shows a relationship or equality, usually with an equals sign. For example:
• 5+3=8
• 10−4=6
An algebraic expression contains variables, numbers, and operations but does not have an
equality sign. It represents a value that can change depending on the value of the variables. For
example:
• 3x+5
• 2a−7
Examples:
• Number Sentence: 6×3=18 (It shows an equality between two numerical expressions.)
• Algebraic Expression: 4y+2 (It contains a variable and represents a value that can
change with y.)
1.2 Explain how you can use geometric patterns to help learners to understand functions. (4)
Geometric patterns can be a visual and concrete way to introduce the concept of functions to
learners. Here's how they can be used:
• Identifying Patterns: Learners observe and identify a sequence or pattern in geometric
shapes (e.g., the number of dots in a growing triangle pattern).
• Relating to Functions: The number of elements (e.g., dots) in each step of the pattern
can be related to a function. For example, if the number of dots increases by a constant
amount each step, it can be represented by a linear function.
• Function Notation: Learners can express the relationship between the step number
(input) and the number of elements (output) using function notation. For example, if each
step adds 3 dots, the function can be f(n)=3n.
Example: A pattern where the number of squares in each step is 1,4,9,16,…1, 4, 9, 16,…. This
can help learners see that the function relating the step number n to the number of squares is
f(n)=n2.
2024 (369439)
Updated and
elaborate answers
, MIP1502 Assignment 3 2024 (369439) - DUE 9 July 2024 ;100% TRUSTED workings, explanations and
solutions
Question 1
1.1 Use examples to explain the difference between a number sentence and an algebraic expression. (4)
A number sentence is a mathematical statement that contains numbers and operations and
shows a relationship or equality, usually with an equals sign. For example:
• 5+3=8
• 10−4=6
An algebraic expression contains variables, numbers, and operations but does not have an
equality sign. It represents a value that can change depending on the value of the variables. For
example:
• 3x+5
• 2a−7
Examples:
• Number Sentence: 6×3=18 (It shows an equality between two numerical expressions.)
• Algebraic Expression: 4y+2 (It contains a variable and represents a value that can
change with y.)
1.2 Explain how you can use geometric patterns to help learners to understand functions. (4)
Geometric patterns can be a visual and concrete way to introduce the concept of functions to
learners. Here's how they can be used:
• Identifying Patterns: Learners observe and identify a sequence or pattern in geometric
shapes (e.g., the number of dots in a growing triangle pattern).
• Relating to Functions: The number of elements (e.g., dots) in each step of the pattern
can be related to a function. For example, if the number of dots increases by a constant
amount each step, it can be represented by a linear function.
• Function Notation: Learners can express the relationship between the step number
(input) and the number of elements (output) using function notation. For example, if each
step adds 3 dots, the function can be f(n)=3n.
Example: A pattern where the number of squares in each step is 1,4,9,16,…1, 4, 9, 16,…. This
can help learners see that the function relating the step number n to the number of squares is
f(n)=n2.
