Exam (elaborations)
MIP1502 Assignment 3 2024| Due 9 July 2024
- Course
- Institution
MIP1502 Assignment 3] Due 9 July 2024
[Show more]
1 review
By: Heartutor • 6 months ago
Seller
Follow
Falconntutors
Reviews received
Content preview
MIP1502ASSIGNMENT 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.
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller Falconntutors. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $2.78. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
68443 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 15 years now