Exam (elaborations)
TMS3725 SUPP EXAM 2024
- Course
- Institution
TMS3725 SUPP EXAM 2024
[Show more]
Seller
Follow
mahimbye
Reviews received
Content preview
JAN/FEB SUPPEXAM2024TMS3725
TEACHING Tms3725 supp
exam 2024
MATHEMATICS IN
FET PHASE100
MARKS 3 HOURS 30
1.1 Explain what it means to do mathematics. (4)
, Question 1
1.1Explain what it means to do mathematics. (4)
Doing mathematics refers to the act of using logical reasoning and problem-solving skills to study
and understand patterns, relationships, and structures within the realm of numbers, quantities,
shapes, and space. It involves using methods such as calculations, proofs, and deductions to solve
problems and explore concepts in areas such as algebra, geometry, calculus, and statistics.
Additionally, doing mathematics involves the ability to communicate findings and insights through
written and verbal explanations. Overall, doing mathematics is about exploring and applying the
principles and techniques of the discipline to make sense of the world around us.
1.2 The quality of mathematics that learners learn depends on the mathematical tasks/activities
they are exposed to. Routine and non-routine problems are often used in mathematics classrooms.
These tasks play a role in teaching mathematics for understanding. In your classroom, you intend
using the following tasks:
Task 1: Find the 26th term of the sequence 2; 5; 8; 11
Task 2: Find the arithmetic sequence if the 4th term is 3 and the 8th term is -13
In Task 1, you are asked to find the 26th term of the sequence 2, 5, 8, 11. This task involves finding
the pattern or rule that governs the sequence and using it to determine the desired term.
To find the pattern in this sequence, we can observe that each term is obtained by adding 3 to the
previous term. So, the pattern can be described as adding 3 repeatedly to the initial term of 2.
To find the 26th term, we can use the formula for the nth term of an arithmetic sequence:
𝑎_𝑛 = 𝑎_1 + (𝑛 - 1)𝑑
where 𝑎_𝑛 is the nth term, 𝑎_1 is the first term, 𝑛 is the position of the term, and 𝑑 is the common
difference.
In this case, 𝑎_1 = 2, 𝑛 = 26, and 𝑑 = 3. Plugging these values into the formula, we get:
𝑎_26 = 2 + (26 - 1) * 3
= 2 + 25 * 3
= 2 + 75
= 77
Therefore, the 26th term of the sequence 2, 5, 8, 11 is 77.
In Task 2, you are asked to find the arithmetic sequence given the 4th term is 3 and the 8th term is -
13. This task involves finding the common difference and using it to generate the sequence.
We can start by using the formula for the nth term of an arithmetic sequence:
𝑎_𝑛 = 𝑎_1 + (𝑛 - 1)𝑑
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 mahimbye. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $2.96. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
72841 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now