MIP1502
ASSIGNMENT 3
DUE 9 JULY 2024
2024
,MIP1502
Assignment 3:
Compulsory Contributes 25% to the final pass mark Unique number: 369439
Due date: 09 July 2024
Question 1:
1.1 Use examples to explain the difference between a number sentence and an
algebraic expression.
A number sentence is a mathematical statement that includes numbers, operations, and
an equality or inequality symbol. It states a fact or relationship using specific numbers.
For example:
5+3=85 + 3 = 85+3=8
7×4≤307 \times 4 \leq 307×4≤30
An algebraic expression, on the other hand, is a mathematical phrase that can include
numbers, variables (letters that represent unknown values), and operations. It does not
have an equality or inequality symbol. For example:
3x+23x + 23x+2
5y−45y - 45y−4
Examples:
Number Sentence: 4×5=204 \times 5 = 204×5=20
Algebraic Expression: 2x+32x + 32x+3
1.2 Explain how you can use geometric patterns to help learners understand
functions.
Geometric patterns can help learners understand functions by visually demonstrating
how an input relates to an output. For example, if learners see a pattern of shapes
increasing in size or number, they can understand that each step (input) corresponds to
a change in the pattern (output). aNDtranslating this visual pattern into a table of values,
a flow diagram, or a graph, learners can begin to see the relationship between the input
and output as a function.
, For instance, if a pattern shows a sequence of triangles where each row adds one more
triangle:
1st row: 1 triangle
2nd row: 2 triangles
3rd row: 3 triangles
This pattern can be represented as a function:
Input (row number): 1, 2, 3, ...
Output (number of triangles): 1, 2, 3, ...
The function here can be expressed as f(x)=xf(x) = xf(x)=x.
1.3 List three different ways to represent a pattern.
Flow Diagram
A visual representation showing the sequence of operations applied to the input to get
the output.
Table
Organizes input and output values in columns, showing the relationship between them.
Graph
Plots the input and output values on a coordinate plane to visually show the relationship
between them.
1.4 Why is algebraic thinking important for solving real-world problems?
Algebraic thinking is important for solving real-world problems because it allows
individuals to:
Generalize mathematical relationships and recognize patterns.
Formulate and manipulate equations and inequalities to find unknown values.
Develop abstract thinking skills necessary for problem-solving in various fields such as
science, engineering, economics, and everyday life.
Understand and apply functions to model real-world situations, predict outcomes, and
make informed decisions.
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.
ASSIGNMENT 3
DUE 9 JULY 2024
2024
,MIP1502
Assignment 3:
Compulsory Contributes 25% to the final pass mark Unique number: 369439
Due date: 09 July 2024
Question 1:
1.1 Use examples to explain the difference between a number sentence and an
algebraic expression.
A number sentence is a mathematical statement that includes numbers, operations, and
an equality or inequality symbol. It states a fact or relationship using specific numbers.
For example:
5+3=85 + 3 = 85+3=8
7×4≤307 \times 4 \leq 307×4≤30
An algebraic expression, on the other hand, is a mathematical phrase that can include
numbers, variables (letters that represent unknown values), and operations. It does not
have an equality or inequality symbol. For example:
3x+23x + 23x+2
5y−45y - 45y−4
Examples:
Number Sentence: 4×5=204 \times 5 = 204×5=20
Algebraic Expression: 2x+32x + 32x+3
1.2 Explain how you can use geometric patterns to help learners understand
functions.
Geometric patterns can help learners understand functions by visually demonstrating
how an input relates to an output. For example, if learners see a pattern of shapes
increasing in size or number, they can understand that each step (input) corresponds to
a change in the pattern (output). aNDtranslating this visual pattern into a table of values,
a flow diagram, or a graph, learners can begin to see the relationship between the input
and output as a function.
, For instance, if a pattern shows a sequence of triangles where each row adds one more
triangle:
1st row: 1 triangle
2nd row: 2 triangles
3rd row: 3 triangles
This pattern can be represented as a function:
Input (row number): 1, 2, 3, ...
Output (number of triangles): 1, 2, 3, ...
The function here can be expressed as f(x)=xf(x) = xf(x)=x.
1.3 List three different ways to represent a pattern.
Flow Diagram
A visual representation showing the sequence of operations applied to the input to get
the output.
Table
Organizes input and output values in columns, showing the relationship between them.
Graph
Plots the input and output values on a coordinate plane to visually show the relationship
between them.
1.4 Why is algebraic thinking important for solving real-world problems?
Algebraic thinking is important for solving real-world problems because it allows
individuals to:
Generalize mathematical relationships and recognize patterns.
Formulate and manipulate equations and inequalities to find unknown values.
Develop abstract thinking skills necessary for problem-solving in various fields such as
science, engineering, economics, and everyday life.
Understand and apply functions to model real-world situations, predict outcomes, and
make informed decisions.
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.
