Learner Signature Date
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US 7468 USE MATHEMATICS TO INVESTIGATE AND MONITOR FINANCIAL ASPECTS OF PERSONAL, BUSINESS, NATIONAL AND
INTERNATIONAL ISSUES; NQF LEVEL 4
Learner Name:
Learner ID #:
Learner Student Number:
Formative Assessment
Class Activities
During and after the initial training the learner will be required to complete a number of activities. These activities will be both individual and group activities (class activities / formative activities). The activities are numbered and are to be included in the learner’s portfolio of evidence. These activities will measure the progress of the learner through the programme. For authenticity reasons these activities must be handwritten.
Class Activity 1: Plan and control financial instruments
Complete the following in small groups / individually as per the instructions from your facilitator:
7468.1.
7468 EEK1 7468 EEK2 7468 EEK3 1. Use market terminology to read the stock data of Pioneer foods for 5th of August 20XX. Remember
that stock prices are always given in cents
PIONEER FOODS 12:15:03 08/05/20X
X
All JSE data delayed by 15 min. 2950 N/A
O N/A LT N/A
B 2950 A 2974
H N/A L N/A
YH 3050 YL 1850 VOL N/A
P/E 9.46 YLD 10.57 DY 3.46
KEY:
O=OPEN | LT=LAST TRADE B=BID | A=ASK
H=HIGH* | L=LOW*
YH=YEAR HIGH* | YL=YEAR LOW*
VOL=VOLUME
P/E=PRICE/EARNINGS* | YLD=YIELD*
DY=DIVIDEND YIELD*
*Calculated by I-Net Bridge
a. What is the share price for Pioneer Foods stock?
b. How much are buyers prepared to pay for Pioneer Foods stock?
c. What is the lowest price that a seller of Pioneer Food stock is prepared to accept?
d. What was the highest price of a Pioneer Food share up to 5th August 20XX?
e. What was the lowest price of a Pioneer Food share up to 5th August 20XX?
f. Using the P/E ratio, state how much an investor is willing to pay for every R1.00 of Pioneer
Food’s current earnings?
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2. The table below shows the price of a share in the companies listed and how many shares were bought.
a. Complete the table:
Company Price per share No. of shares Total price
ABSA Bank R119.45 2
SAB (Breweries) R174.55 3
MTN R127.67 5
Woolworths R14.59 12
b. The table given below shows the same companies listed in the table above. Complete the table showing how many shares you will be able to buy using the information provided.
Company Price per share Money to spend Max no. of shares
ABSA Bank R119.45 R120.00
SAB (Breweries) R174.55 R500.00
MTN R127.67 R1 500.00
Woolworths R14.59 R2 300.00
c. A safe investment will always give a targeted return whilst a risky investment's return will vary. Complete the following table which shows an example of a risky investment rounding off each calculation to the nearest cent.
Money to Invest Return Gain/Loss Total
1. R1,000,00 0% R0,00
2. R1,000,00 –8% (R80,00)
3. R1,000,00 19% R190,00
4. R1,000,00 –6% (R60,00)
5. R1,000,00 14% R140,00
6. R1,000,00 12% R120,00
d. In your own opinion, which type of investment would you prefer? Motivate your answer.
3. Planning and controlling a budget: Identify and list your monthly income:
Description Amount
Income
Salary
Commission
Stokvel
Other:
Total Income
4. Identify and list your monthly expenses / expenditure. Then give each item on your list a priority [A
is most important / essential and B is less important / want, not a need]. Once you have completed
this, then calculate the specific item as a percentage of the total expenditure:
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Description Amount Priority
A/B
% of Total Expenditure Essential Fixed Expenditure
Rates
Rent / Bond
Home Insurance
Car Insurance
Other loans
Hire Purchase
School Fees
Subtotal
Essential Variable Expenditure (estimation)
Transport Fares / Parking
Petrol
Meat
Groceries
Electricity / Gas
Telephone / Cell Phone
Savings
School Books
Stokvel
Insurance
Med Insurance / Aid
Other
Subtotal Discretionary Expenses (estimation)
Clothes Birthdays
Hairdresser
Alcohol, smoking, sweets, etc.
Entertainment / Holidays
Magazines / Newspapers
Sport/ Hobbies
Church
Subtotal
Total Expenditure
5. Now work out the variance / shortfall between your income and your expenditure:
Total expenditure Total Income Variance [Surplus or Shortfall]
6. Answer the following:
If you have a favourable variance (money left after everything has been paid), explain how you will spend the extra money.
If you have an adverse/ unfavourable variance (too little income for your expenses), explain how
you make “ends meet”.
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Place any extra evidence after this page, clearly marked for easy reference.
Class Activity 2: Use simple and compound interest
Complete the following in small groups / individually as per the instructions from your facilitator:
7468.2.
7468 EEK2 7468 EEK4 1. What is the simple interest earned on R50 000 if it is invested for 12 years at 8%
perannum? (Hint:
Simple interest is earned when the investor withdraws the interest earned as soon as it is earned.)
2. What is the compound interest earned on R50 000 that is invested for 12 years at 8% per annum?
(Hint: compound interest is earned when the investor leaves the investment to grow by not
withdrawing any interest from the account or fund.)
3. What will your savings be worth if you saved R500 per month for 30 years? The bank
offersa rate of 8% per annum.
4. Jimmy buys a furniture suite for R9 800. He takes out a hire-purchase loan involving equal monthly payments over five years. The interest rate charged is 15% per annum. He also takes out an insurance premium of R12 per month to cover the cost of damage or theft
a. Calculate the actual amount paid for the furniture suite
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b. Calculate the interest paid on furniture suite.
c. Calculate the monthly payment.
5. A sinking fund is established to replace a machine that will be obsolete 5 years from now. The machine will cost R140 000 to replace. The fund earns 10% per annum.
What monthly instalment must be paid into the sinking fund?
Place any extra evidence after this page, clearly marked for easy reference.
Class Activity 3: Aspects of costs and revenue
Complete the following in small groups / individually as per the instructions from your facilitator:
7468.3.
7468 EEK2 1. A clothing factory sells jackets for R300 each. The factory produces 400 jackets at a total cost of R100 000. When the director decides to increase production to 500 jackets, the total cost increases to R120 000.
a. Calculate the profit on the sale of the first 400 jackets.
b. Calculate the marginal cost incurred when increasing production to 500 jackets.
Learner Signature Date
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2. The average rate of inflation over the last 10 years was 7,2% p.a. The current price of 2,5 kg packet of maize meal is R9,95.
a. Calculate the expected price of maize in 10 years’ time if the rate of inflation continues at the same level.
b. How much did the 2, 5 kg packet of maize cost 10 years ago?
c. A DVD player costs R350, 00. Determine the expected cost of a similar DVD in 5 years’
time, based on an inflation rate of 7,9%.
3. Samuel builds a house that costs R750 000,00. Building costs are expected to increase by 12, 3%
p.a. Calculate the expected cost of building the same house in 8 years’ time.
4. Please read the following article carefully and answer the questions that follow.
Stieglitz: SA must drop targets 2009/07/08 07:34:00 PM [Source: Fin24.com]
Leani Wessels
Johannesburg — Nobel Prize winning economist Joseph Stieglitz has warned South Africa that economic policies like rigid inflation targeting should be a secondary concern amid the worst economic crisis since the Second World War. Speaking on the global financial meltdown at the University of Witwatersrand on Wednesday, the well-known economist said South Africa's inflation targeting mechanism was “a very indirect way of getting to the economy's underlying problems”.
Learner Signature Date
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“I'm very strongly opposed to rigid inflation targeting,” said Stieglitz, a professor at Columbia University in New York, who was awarded the Nobel Prize for economics in 2001. “The financial crisis is in part as a result of central banks focusing on inflation. You have to balance it with other concerns. It's not that I don't care about inflation, but you need policies that will do something about the current economic situation,” he said. The South African Reserve Bank (SARB) shocked the market last month when it announced that it would not cut interest rates, in an attempt to achieve its inflation target of between 3% and 6%. The key repo rate — the rate at which the central banks lends to its commercial counterparts — is currently 7.5%. Stieglitz said he favoured a world economic order in which developed nations effectively subsidised developing nations by dropping surcharges and tariffs on their exports.
a. Based on your understanding of imports, exports and exchange rates, discuss the validity of Stieglitz’s view that dropping surcharges and tariffs on export will benefit the world economy.
b. Based on your understanding of inflation provide support to the argument that the SARB
should target inflation to benefit the South African economy.
Place any extra evidence after this page, clearly marked for easy reference.
Class Activity 4: Aspects of the national and global economy Complete the following in small groups / individually as per the instructions from your facilitator:
7468.4.
7468 EEK2 Convert the currencies in the following problems:
1. A DVD player costs $300 in California. What would it cost in South Africa if the rand/dollar exchange rate is R8,45 to the US dollar?
2. You want to buy a book online costing £35 in London. How much will it cost you in Rands given that
the rand/pound exchange rate is R13, 00.
Learner Signature Date
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3. You want to buy a box of Japanese sweets costing 50 yen (¥). If the rand/yen exchange rate is one rand to 16.78 yen, calculate the cost of the sweets in Rands.
4. Peter is visiting a friend in New York for a week. He has R2 500 to spend and will exchange the
money for US dollars. How many dollars will he have to spend if the rand/dollar exchange rate is
R8.45?
5. Divide into 2 groups, one group for and another one against the statements below. Use mathematical proof to debate the following aspects of the national and global economy:
a. Personal tax is too high in South Africa.
Make your notes here:
b. Productivity is low in South Africa
Make your notes here:
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c. Global distribution of resources is unfair Make your notes here:
Ask the selected chairperson to complete the following assessment of your debating points:
Learner name: Date:
Did the learner: Yes No
Calculate values correctly?
Use mathematical tools and systems effectively to determine, compare and describe aspects of the national or global economy?
Base debating points on well-reasoned arguments?
Support debating points by mathematical information?
Colleague Name
Colleague Signature
LearnerSignature
Facilitator Signature
Place any extra evidence after this page, clearly marked for easy reference.
Learner Signature Date
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Reflection
Individually complete the following:
7468The purpose of reflection is for you to consider what you have learnt and how you will use it in the future.
Answer the following questions as honestly as you can:
1. After the training programme, I can now (tick):
Use mathematics to plan and control financial instruments including insurance and assurance, unit trusts, stock exchange dealings, options, futures and bonds
Use simple and compound interest to make sense of and define a variety of situations including mortgage loans, hire purchase, present values, annuities and sinking funds
Investigate various aspects of costs and revenue including marginal costs, marginal revenue and optimisation of profit
Use mathematics to debate aspects of the national and global economy, including tax, productivity and the equitable distribution of resources
2. How would you apply what you have learnt during this skills programme in the workplace?
3. What was the most significant thing you have learnt in this programme?
4. What do you think you still need to learn more about? (Action Plan)
5. What did you enjoy most about the training?
6. If there was something about the training that you could change, what would it be?
Facilitator Observation Checklist
The facilitator needs to provide feedback on the participation of each learner in the class:
7468
The purpose of the facilitator observation checklist is to provide the learner with feedback about his/her participation during the formative class activities and also to highlight the observed strengths and perceived weaknesses that the learner displayed during the workshop and/or learning programme.
The facilitator is required to complete the Facilitator Observation checklist for each learner in his/her Learner Workbook. The learner needs to sign-off the document to confirm that he/she has received the observation feedback.
Learner Name Facilitator Name Date
Class Activity Group /
Individual
Completed
Participation Comments on perceived strengths and weaknesses of the learner
1. Plan and control financial instruments
2. Use simple and compound interest
3. Aspects of costs and revenue
4. Aspects of the national and global economy
5. Reflection Individual
Learner Signature Date
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Class Activity Group /
Individual
Completed
Participation Comments on perceived strengths and weaknesses of the learner
Has the learner sufficiently demonstrated application of the following CCFO’s during the facilitated session?
CCFO1:
Solving a variety of numerical and financial problems
Use mathematics to analyse, describe and represent financial situations and to solve problems
CCFO2:
N/A
CCFO3:
N/A
CCFO4:
Gather, organise, evaluate and interpret financial information to plan and make provision for monitoring budgets and other financial situations
Yes / No Yes / No Yes / No Yes / No
CCFO5:
Use everyday language and mathematical language to describe relationships, processes and problem solving methods
CCFO6:
N/A
CCFO7:
N/A
CCFO8:
N/A
Yes / No Yes / No Yes / No Yes / No
Statement by the facilitator:
The learner has demonstrated sufficient knowledge and skill during class to proceed with the summative assessment (circle)
Yes No
Additional comments: (optional)
Learner Signature Facilitator Signature
Summative Assessment
Please complete the following summative assessment activities and submit as part of your Portfolio of Evidence:
Knowledge Questions
Practical Activities
Witness Testimony
Logbook
The learner needs to individually complete the summative assessment activities. The summative assessment is conducted by means of a knowledge questionnaire and various integrated assessment activities. The learner needs to follow the summative assessment activity instructions to create the evidence required for the portfolio of evidence.
Note: The Critical Cross Field Outcomes are referenced in the following manner:
CCFO1- Identify and solve problems in which responses demonstrate that responsible decisions using critical and creative thinking have been made
CCFO2- Work effectively with others as a member of a team, group, organisation, community CCFO3- Organise and manage oneself and one's activities responsibly and effectively CCFO4- Collect, analyse, organise and critically evaluate information
CCFO5- Communicate effectively using visual, mathematical and/or language skills in the modes of oral and/or written presentation
CCFO6- Use science and technology effectively and critically, showing responsibility towards the environment and health of others
CCFO7- Demonstrate an understanding of the world as a set of related systems by recognising that problem-solving contexts do not exist in isolation
CCFO8- Be culturally sensitive across a range of social contexts so that all actions and decisions made are acceptable to all stakeholders with broad cultural backgrounds
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Knowledge Questions
Please answer the following knowledge questions related to the unit standard embedded knowledge and assessment criteria and place it in your portfolio of evidence. Remember to number the answers according to the question numbers, should you need to attach a document.
You have to complete this Knowledge Questionnaire individually based on the theory that you covered in your Learner Guide and the formative assessments you completed in your Learner Workbook.
Knowledge Questions
Individually complete the following:
Unit Standard Reference
1. Describe what budgeting is and why a business or a household should budget
regularly? 7468 EEK1
(2) 2. Define the following financial terms and provide an example of each to substantiate
your answer. 7468 EEK2
Income
Expenditure
Fixed costs
Variable costs
Depreciation
Equity
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Shares
Stokvel
(16) 3. Define the following terms associated with planning and controlling financial
instruments 7468.1.1
Financial instruments
Currency
Insurance
Assurance
Stocks
Unit trusts
Stock Exchange dealings
Options
Futures
Bonds
Risk
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Return
(24)
4. Define the following mathematical terms: 7468 EEK3
Estimate
Approximate
(2)
5. Define the following terms related to interest. 7468.2.1
7468 EEK4 Interest
Interest rate
Simple interest
Compound interest
Compound increase
Compound decrease
Interest expenses
Mortgage loans
Hire Purchase (HP)
Present Value
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Annuity
Sinking funds
(24) 6. Define the following terms related to aspects of costs and revenue. 7468.3.1
marginal costs
marginal revenue
optimisation of profit
(6) 7. Define the following terms related to aspects of the national and global economy 7468.4.1
Inflation
Exchange rate
Foreign exchange
Imports
Exports
Currency
Comparative effectiveness of currency in relation to remuneration
Inflation
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Measures of Inflation
Monetary policy
Instruments of monetary policy
Inflation targeting
Consumer Price Index
(26)
Total / 100
Practical Activities
Individually complete the following activities to show your ability to integrate and apply your knowledge and skills in the workplace.
Practical Activity: Use mathematics to investigate and monitor the financial aspects
Individually complete the following:
7468.
EEK1-4 CCFO1,3,5
You need to show that you can use mathematics to investigate and monitor the financial aspects of personal, business, national and international issuesComplete the following:
1. Use mathematics to plan and control financial instruments including insurance and assurance, unit trusts, stock exchange dealings, options, futures and bonds. Complete the following tasks and provide evidence to show that you have done the following:
a. Do research and provide examples such as pamphlets or internet website downloads of example products that you could have in your personal capacity for insurance and assurance, unit trusts, stock exchange dealings, options, futures and bonds
b. Select a life insurance policy option and summarise the costs and benefits of the specific policy
2. Use simple and compound interest to make sense of and define a variety of situations including mortgage loans, hire purchase, present values, annuities and sinking funds. Complete the following tasks and provide evidence to show that you have done the following:
a. Do research and provide examples such as pamphlets or internet website downloads of example products that you could have in your personal capacity: mortgage loans, hire purchase, present values, annuities and sinking funds
b. Select a mortgage loan or an HP contract and summarise the costs and benefits of the specific interest situation
3. Investigate various aspects of costs and revenue including marginal costs, marginal revenue and optimisation of profit. Complete the following tasks and provide evidence to show that you have done the following:
a. Do research and show calculations of costs and revenue (including marginal costs, marginal revenue and optimisation of profit) for an organisation/ business unit/ small business. Provide supporting documentation as evidence to support your calculations
4. Use mathematics to debate aspects of the national and global economy, including tax, productivity and the equitable distribution of resources. Complete the following tasks and provide evidence to show that you have done the following:
a. Do research and show calculations of the tax that you would pay as an individual.
b. Do you think that it is “right” that you should be paying tax? Provide reasons to substantiate your answer
Remember: Provide (workplace) evidence to support your answers and show your ability to do what is required of you in this activity.
Place your evidence after this page; clearly marked for easy reference.
Learner Signature Date
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Practical Activity Checklist
Please tick that you have submitted the following evidence as per the instructions above:
Learner Name Date
Practical Activity Submitted
Yes/No
Name of my document / Comments
Use mathematics to plan and control financial instruments including insurance and assurance, unit trusts, stock exchange dealings, options, futures and bonds
a. Do research and provide examples such as pamphlets or internet website downloads of example products that you could have in your personal capacity for insurance and assurance, unit trusts, stock exchange dealings, options, futures and bonds
b. Select a life insurance policy option and summarise the costs and benefits of the specific policy
Use simple and compound interest to make sense of and define a variety of situations including mortgage loans, hire purchase, present values, annuities and sinking funds
a. Do research and provide examples such aspamphlets or internet website downloads of example products that you could have in your personal capacity: mortgage loans, hire purchase, present values, annuities and sinking funds
b. Select a mortgage loan or an HP contract and summarise the costs and benefits of the specific interest situation
Investigate various aspects of costs and revenue including marginal costs, marginal revenue and optimisation of profit
a. Do research and show calculations of costs and revenue (including marginal costs, marginal revenue and optimisation of profit) for a small business. Provide supporting documentation as evidence to support your calculations
Use mathematics to debate aspects of the national and global economy, including tax, productivity and the equitable distribution of resources
a. Do research and show calculations of the tax that you would pay as an individual.
b. Do you think that it is “right” that you should be paying tax? Provide reasons to substantiate your answer
Learner Signature
Witness Testimony
In the workplace, or in simulated classroom activities, you need to show your ability to integrate what you have learnt. This can be measured with the Specific Outcomes and the Critical Cross Field Outcomes of the Unit Standard.
Request your facilitator / supervisor (or workplace mentor) to complete the following form to show that you are able to integrate your learning into everyday workplace application. It is necessary that the facilitator / supervisor also provides a short comment on the form:
Learner Name Date
Did the Learner: Yes No
1. Use mathematics to plan and control financial instruments including insurance and assurance, unit trusts, stock exchange dealings, options, futures and bonds?
2. Use simple and compound interest to make sense of and define a variety of situations including mortgage loans, hire purchase, present values, annuities and sinking funds?
3. Investigate various aspects of costs and revenue including marginal costs, marginal revenue and optimisation of profit?
4. Use mathematics to debate aspects of the national and global economy, including tax, productivity and the equitable distribution of resources?
5. Solving a variety of numerical and financial problems?
6. Use mathematics to analyse, describe and represent financial situations and to solve problems?
7. Gather, organise, evaluate and interpret financial information to plan and make provision for monitoring budgets and other financial situations?
8. Use everyday language and mathematical language to describe relationships, processes and problem solving methods?
Comments about how the learner applied the knowledge and skills in this programme:
Learner Name:
Learner Signature Date
Facilitator Name:
Facilitator Signature Date
Learner Signature Date
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LOGBOOK
This log book has been included to record all time spent on the report and assignments.
Time spent completing on activities should be signed off by a facilitator, supervisor, mentor or witness where possible.
Learner Name:
Learner ID#:
Course Name FETC Business Administration Services NQF 4: SAQA ID 61595
Unit Standard Name SAQA ID 7468: Use mathematics to investigate and monitor the financial aspects of personal, business, national and international issues; NQF Level 4, 6 Credits
SAQA ID Number 7468 Credits 6 Notional Hours 60 Hours
Practical / Workplace Activities Start Date
End Date
Total No of Hours
Sign Off by Facilitator / Supervisor / Manager / Mentor / Witness
Name &
Surname
Relationship to Learner
Signature
Use mathematics to investigate and monitor the financial aspects of personal, business, national and international issues
60 Hours
Activities Completed:
Classroom Training
Review and create a checklist to ensure effective control of financial instruments
Check that calculations are carried out using computational tools efficiently
Ensure that solutions obtained are verified in terms of the context Identify and confirm with your supervisor that measures used for
control purposes are appropriate to the need and are in line with control plans
List the differences between simple and compound interest and ensure that it is described in terms of their common applications and effects
Discuss and confirm with your supervisor that methods of calculation are appropriate to the problem types
Create a checklist to ensure computational tools are used efficiently and correctly
Confirm that the solutions obtained are verified in terms of the context or problem
Provide written confirmation that solutions to calculations are used effectively to define the changes over a period of time
Ensure that values are calculated correctly
Obtain an example to demonstrate that mathematical tools and systems are used effectively to determine and describe the relationships between the various aspects of cost and revenue Discuss and confirm with your supervisor that terminology is used in the correct context
Describe reasonable methods for the control of costs and optimisation of profits in relation to given data
Ensure that values are calculated correctly
In a written report, describe how mathematical tools and systems are used effectively to determine, compare and describe aspects of the national and global economy
Call a meeting with your peers
In this meeting, get confirmation that debating points are based on well-reasoned arguments and are supported by mathematical information
Other workplace-related tasks:
Learner Signature Date
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FEEDBACK SECTION Comments from Facilitator:
Comments from Student:
Assessment Activities Checklist
The learner needs to complete all the required activities that are guided by the Specific Outcomes and Assessment criteria of the Unit Standard(s) in this programme:
Programme Use mathematics to investigate and monitor financial aspects
Unit Standard SAQA ID 7468: Use mathematics to investigate and monitor the financial aspects of personal, business, national and international issues; NQF Level 4, 6 Credits
Once you have completed all the assessment activities, request your supervisor to check that you have completed all the required activities and that they have all been placed in your Portfolio of Evidence, in the following order:
Did the learner provide the required evidence:
Reference: Comments / Feedback Yes No
Formative – Class Activities
Class Activity 1
7468.1.
7468 EEK1 7468 EEK2 7468 EEK3 Class Activity 2
7468.2.
7468 EEK2 7468 EEK4
Class Activity 3 7468.3.
7468 EEK2
Class Activity 4 7468.4.
7468 EEK2
Reflection 7468
Facilitator Observation
Checklist 7468
Summative - Knowledge Questions
Question 1 7468 EEK1
Question 2 7468 EEK2
Question 3 7468.1.1
Question 4 7468 EEK3
Question 5 7468.2.1
7468 EEK4
Question 6 7468.3.1
Learner Signature Date
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Did the learner provide the required evidence:
Reference: Comments / Feedback Yes No
Question 7 7468.4.1
Summative – Practical Activities
Practical Activity
7468.
EEK1-4 CCFO1,3,5
As per the Practical Activity Checklist:
Summative – Witness Testimony
Witness Testimony 7468
Summative – Logbook
Logbook 7468
Learner Name:
Learner Signature Date
Facilitator Name:
Facilitator Signature Date
FOR STUDENT
This is to verify that the above work is my own / authentic.
Learner Name: ___________________________Learner Student No:___________________
Learner Signature: ________________________ Date: _____________________________
FOR FACILITATOR
This is to verify that the learner has completed all the above and is awaiting final assessment / moderation.
File Checked:
Date Facilitator Name Facilitator Signature
Learner Signature Date
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