25/3/2015 – 26/3/2015 (2 lessons)
Subject: Mathematical Literacy
Grade: 10
Topic: Financial Documents and Tariff Systems
Time: 100 minutes
LESSON OUTCOMES
The learner will be able to:
Skills:
1) Analyze and interpret different financial/ household
documents or accounts.
2) Calculate the cost of a cell phone call on both prepaid and
contract tariffs.
3) Interpret and/ or draw a line graph representing a prepaid or
contract cell phone tariff system.
Knowledge:
1) Identify different types of financial/ household documents or
accounts (municipal, telephone, till slips, bank statements).
2) Define the terms: bill, statement and tariff.
3) Distinguish between debits and credits on financial
statements.
4) Differentiate between prepaid and contract tariff
options.
5) Differentiate between a prepaid and contract tariff systems
line graphs.
Attitudes and Values (may not happen in this lesson alone):
1) Recognise the importance of being able to interpret and
understand financial documents and tariff systems so that they know
how they are being charged and if it is correct or not.
2) Develop responsible financial habits with regards to their
spending on municipal, telephone and personal accounts, in
future.
INTRODUCTION
Teacher’s Actions
Learner Activities
Key Concepts/ Content
Assessment Strategies
Resources
Estimated Time
Ask learners if they recognise documents shown to them.
Respond to teacher’s question.
Question and answer (determine existing/ prior knowledge).
Financial documents.
10 minute.
CONTENT DISCLOSURE
Teacher’s Actions
Learner Activities
Key Concepts/ Content
Assessment Strategies
Resources
Estimated Time
Direct instruction:
Define and explain the terms bill and statement – making
reference to financial document examples.
Explain the difference between debit and credit.
Show how to interpret a financial document and explain the
importance of this in relation to real life.
Activity:
Give learners class activity on interpreting a financial
document (go through answers in class with learners).
Direct instruction:
Define and explain the term tariff.
Differentiate between prepaid and contract tariff options with
regards to cell phones and electricity.
Show learners how to calculate cell phone calls on prepaid and
contract tariff options, and explain the graphs related to
each.
Formative assessment:
Brief pop quiz with learners to determine if they paid attention
to lesson and what they learnt.
Listen and make notes if necessary.
Work in small groups to complete class activity.
Listen and make notes if necessary.
In teams, learners will answer questions.
See Annexure A.
Formative assessment in the form of questions and answers.
Data projector; Laptop; Whiteboard; Whiteboard markers.
Class activity worksheet (see annexure B).
Data projector; Laptop.
Pop quiz question and answer sheet (see annexure C); Whiteboard;
Whiteboard markers.
25 minutes
20 minutes
25 minutes
10 minutes
CLOSURE:
Remind learners of:
- The important terms they need to know: bill, statement
tariff.
- The different types of financial documents, how they are
interpreted and the importance of knowing how to interpret
them.
See annexure A.
10 minutes
HOMEWORK:
· Hand out homework worksheet (see annexure D).
ASSESSMENT:
· Pop quiz (informal class assessment – not for marks)
· Homework worksheet will be taken in for marks.
Annexure B
Grade 10 Mathematical Literacy
Financial Documents & Tariff systems
Class activity – Interpreting documents/ accounts
Mrs Gwayi received the municipal invoice for electricity and
refuse. Study the municipal account below and answer the questions
that follow:
1. What is her address (including the city that she lives
in)?
2. What is her account number?
3. At which four stores or outlets can she pay this invoice?
4. If Mrs Gwayi wants to query this bill, what number should she
phone?
5. According to the bill, when last did Mrs Gwayi make a payment
to the municipality?
6. How much was her last payment?
7. If Mrs Gwayi receives the invoice on 10 September 2013,
a) What is the minimum amount that she needs to pay
immediately?
b) What additional amount must she pay before 19 September?
8. If Mrs Gwayi wants to pay her invoice in full, what is the
total amount she owes?
MEMORANDUM:
1. 145 Gordon Ave, Mowbray, Cape Town, 7853
2. 634812459
3. Absa, Checkers, Shoprite and the Post Office
4. 086 010 3089
5. 29/07/2013
6. R 349,67
7. a) R 1683,00 b) R 393,72
8. R 2076,72
Annexure C
POP QUIZ
Directions:
In the groups/tables that the learners are sitting in, I will
allocate to them a number 1 or a number 2, there are 6 tables in
the classroom, which means there will 3 groups with number 1’s and
3 groups with number 2’s. Altogether there will be 2 teams and each
team has 3 groups. I will be asking the learners 7 questions about
the work that my teammates just presented, the learners will need
to put their hand up if they know the answer and if they get it
correct then they will get a point either team 1 or team 2. At the
end of the pop quiz, I will count the points up and reward the
winning team.
Questions that will be asked:
Exploring household financial documents:
1. Provide examples of financial documents.
2. Explain what is a bill
3. Define a statement.
4. Distinguish between a debit and a credit.
Common household tariffs:
1. What is a tariff?
2. Provide examples of a tariff.
3. Explain the concept of the prepaid and contract tariffs.
Answers to the above questions:
Exploring household financial documents:
1. Till slips, phone bills, electricity bills, bank statements
and DSTV.
2. A bill is a document that a company will send to the owner of
a household to outline what the owner must pay for a particular
service that the company provides for the household.
3. A statement provides a summary of the transactions (amount of
money paid, or a description of items bought) for a purchase or
service over a period of time.
4. The DEBIT side shows money that the person owes or has to pay
to the stores. The CREDIT side shows money that the person has paid
or money (refunds) that the store has paid back to her.
Common household tariffs:
1. A fee that is charged for using a service.
2. Telephone tariffs, electricity tariffs and water tariffs.
3. Prepaid: with prepaid you buy the phone once off. Following
that the only cost is airtime. Contract: with contract you pay
monthly installments on the phone and receive a certain amount of
airtime depending on your contract.
Annexure D
Grade 10 Mathematical Literacy
Financial Documents & Tariff Systems Total: 40
Question 1:
Study the cell phone account below and answer the questions that
follow:
1.1. Which company is the service provider? (1)
1.2. What is Mr Finlay's cell phone number? (1)
1.3. What kind of cellphone do you think Mr Finlay owns? Explain
your answer. (2)
1.4. For which service did he receive a 100% refund? Explain
your answer. (2)
1.5. Does Mr Finlay receive any other discounts? If so, what
where they? (1)
1.6. What is the most expensive item in the list of
transactions? What do you think this amount is for? (2)
1.7. How do we know that Mr Finlay has been an MTN client since
at least November 2011? (1)
1.8. Can Mr Finlay make calls to international numbers on his
phone? Explain your answer. (2)
1.9. How many days does he have to query this invoice? (1)
1.10. MTN includes the average spent per month, over the last 6
months. Show how they calculate this average. (3)
1.11. Show how MTN calculated the 14% VAT that is added to the
total excluding VAT. (2)
[18]
Question 2:
The following tariff structure is available on a prepaid cell
phone special:
Peak & Off-peak calls
SMS peak
SMS off-peak
R2,70 for 1st minute, R1,55 per minute thereafter
80 cents
35 cents
2.1.Is there a difference between in tariffs for calls made
during peak and off-peak time on this tariff structure? (1)
2.2.Calculate the cost on this tariff structure for a 10 minute
phone call. (3)
[4]
Question 3:
Use the table of a cell phone contract below to answer the
following questions.
Call charges
Monthly subscription
Free minutes
Call cost
SMS
R100
100 minutes
R1, 50 (all day)
50 cents (all day)
3.1. Once the free minutes have been used up, how much will it
cost to make a 10 minute call on this contract? (2)
3.2. Once the free minutes have been used up how much will it
cost to make a 25 minute 45 second call on this contract? (4)
3.3. What will the total monthly cost for this contract be for a
person who makes 130 minutes worth of calls during the month?
(3)
3.4. What will the total monthly cost for this contract be for a
person who makes 67 minutes 12 seconds worth of calls during the
month? (1)
[10]
Question 4:
The figures below show the tariffs for prepaid electricity for
the city of Pietermaritzburg. Use them to answer the questions that
follow.
Service
Energy charge (per unit)
Scale S: Prepaid Tariff
Energy charge only
70, 855c (R0, 70855)
4.1. Why does the graph start at 0 on the vertical axis? (1)
4.2.Why is the graph a straight line? (1)
4.3. Using the graph, approximately how much will it cost to use
700 units of electricity in a month
on this prepaid system? (1)
4.4.If a person were to pay R200 for electricity, approximately
how many units of electricity would
they have used during the month? (1)
4.5.By extending the graph, determine approximately how much it
will cost to use 900 units of
electricity in a month. (1)
4.6. If a resident in Pietermaritzburg bought a R300 prepaid
electricity voucher, how many units of electricity would this
voucher give them? Show all calculations, do not simply read the
answer
from the graph. (HINT: use the formula cost = cost/ unit x units
of electricity used). (3)
[8]
TOTAL: [40]
Grade 10 Mathematical Literacy
Financial Documents & Tariff Systems
MEMORANDUM Total: 40
1.1. MTN (1)
1.2. 081 423 7012 (1)
1.3. A Blackberry - the transaction column lists Blackberry
internet services. (2)
1.4. He received a full discount for his Blackberry Internet
Service. We know this because the same amount that is added to his
account (R51, 75) is also subtracted. (2)
1.5. Mr Finlay received a R 7,02 discount for “CLI Monthly
Discount” (1)
1.6. The most expensive item is “MTN 200 TopUp Subscription”.
This is the fixed amount that
Mr Finlay pays for his cellphone contract (an MTN TopUp 200 type
contract) each month. (2)
1.7. The invoice includes Mr Finlay's last 6 billing periods,
the first of which is dated 11-2011. (1)
1.8. Yes. One of the “Additional Services” listed in the grey
column on the left hand side of the page is “Allow International
Calling” (2)
1.9. Mr Finlay has 30 days to query the invoice. (1)
1.10. (3)
=
=
1.11. Total excluding VAT = R 262,2814% of R 262,28 =
R 262,28 ×14100 = R 36,72 (2) [18]
Question 2:
2.1.No, peak and off-peak calls cost the same regardless of the
time the call is made. (1)
2.2.1 minute = R2, 70
9 mins x R1, 55 = R13, 95
R2, 70 + R13, 95 = R16, 65 (3)
[4]
Question 3:
3.1.10 minutes x R1, 50 = R15, 00 (2)
3.2. 25 minutes x R1, 50 = R37, 50
R1, 50/ min ÷ 60 secs/ min = R0, 025/ sec
45 secs x R0, 025 = R1, 125
R37, 50 + R1, 125 = R38, 625 ≃ R38, 63 (4)
3.3 130 mins – 100 free minutes = 30 minutes
Call cost = R100 + (R1, 50/ min x 30 mins)
= R 100 + R45
= R145 (3)
3.4. The monthly cost will be the R100 subscription fee only as
not all the 100 free minutes have been used. (1)
[10]
Question 4:
4.1. It is a prepaid tariff system that only charges if
electricity units (energy charge) are used. (1)
4.2.The graph is a straight line because the monthly cost of
electricity increases by a constant amount of R0, 70855 for every 1
electricity unit used (linear proportion). (1)
4.3. ± R500 (1)
4.4.± 275 units of electricity per month. (1)
4.5.± R650 (1)
4.6. R300 = R0, 70855 x units of electricity
R300 ÷ R0, 70855 = units of electricity
= 423, 40 units of electricity (3)
[8]
TOTAL: [40]
