|
Student Name:
|
|
|
Student ID Number:
|
|
|
Tutor name:
|
|
This is
your Numeracy 2 e-portfolio which you must submit by Wednesday
25th April 2018 via the Student Portal.
Please read this carefully
This is your Numeracy 2 e-portfolio for the semester
commencing February 2018 (Spring XXXXXXXXXXPlease save a copy on your computer
and back it up regularly (e.g. by saving it on your computer / in the cloud
(e.g. Google Drive) / emailing it to yourself. You should print a working copy
and bring it to all lectures and tutorials. However, at the end of the course,
you will need to submit a completed electronic copy.
Please read carefully the module
handbook, the marking criteria and the grade descriptors.
Academic
Misconduct
You are responsible for ensuring you
understand the policy and regulations about academic misconduct. You must:
•
Complete
this work alone except where required or allowed by this assignment briefing
paper and ensure it has not been written or composed by or with the assistance
of any other person.
•
Make sure
all sentences or passages quoted from other people’s work in this assignment
(with or without trivial changes) are in quotation marks, and are specifically
acknowledged by reference to the author, work and page.
This portfolio consists of two sections:
Section
1 is worth 75% of the final mark and
consists of 8 questions (70%) and periodic Skills Audit (carrying 5%).
Section
2 consists
of 3 tasks. Combined they are worth 25%
of the final mark.
Task 1 –
Two Real life examples (8%)
Task 2 – Online Activity (10%)
Task 3 – Reflective log
(7%)
Portfolio Contents
|
Week
/ Content
|
Section
1 Question
|
Learning
Outcome
|
Page
|
|
Section
1
|
|
1. Recap numeracy 1. Introduction. Powers. Use of calculator
|
1 *
|
1,2
|
|
|
2. Powers, root, logarithms. Use of calculator
|
2 *
|
1,2
|
|
|
3. Simple & compound interest 1
|
3,4 *
|
1,2
|
|
|
4. Linear relationships. Scatter plots.
|
5 *
|
1,2,3
|
|
|
5. Further linear relationships
|
5 *
|
1,2,3
|
|
|
6. The future value of money. Net present value.
|
6 *
|
1,2
|
|
|
7. Presentation of data. Histograms.
|
7 *
|
1,2,3
|
|
|
8. Probability.
|
8*
|
1,2
|
|
|
9. Revision
|
None
|
1,2,3
|
|
|
Section
2
|
|
10. Real-Life Examples
|
N/A
|
1,3
|
|
|
11. Online Activity
|
N/A
|
1,2,3
|
|
|
12. Reflective Log
|
N/A
|
1,2,3
|
|
*
Also assessed in the online quiz, Section 2, Task 3
Section 1
This
section should be filled in as you acquire the skills required for each
question.
Answer
all questions. Please show your workings and/or explain your results as
required.
Marks
will be awarded for good presentation. Please evaluate your progress using the
skills audits provided.
You
may use your calculator as required.
You must show your working.
QUESTION 1 [6
marks]
Powers and Roots:
a) Simplify (2 marks)
b) Simplify (2 marks)
c) Evaluate
(2 marks)
[TYPE
YOUR ANSWER HERE]
QUESTION 2 [8 marks]
a) Express the power 100 1/2 using the root notation and evaluate. (2
marks)
b) Evaluate (2 marks)
c) Simplify 7 (2
marks)
d) Scientific notation allows one to
express large or small numbers in a simpler form. Express the UK population of 65,648,000
in a scientific notation (2 marks)
[TYPE
YOUR ANSWER TO QUESTION 2 HERE]
SKILLS
AUDIT: WEEKS 1 – 2
|
I
know how to….
|
I
can do well
|
I
need practice
|
I’m
not sure
|
I
can’t do
|
|
13. I understand what a power is
|
☐
|
☐
|
☐
|
☐
|
|
14. I can perform calculations and simplifications using power
|
☐
|
☐
|
☐
|
☐
|
|
15. I understand what a root is
|
☐
|
☐
|
☐
|
☐
|
|
16. I can perform calculations and simplifications using roots, using a
scientific or financial calculator if required
|
☐
|
☐
|
☐
|
☐
|
QUESTION 3 [10 marks]
Ann
Miller invests £150,000 at an interest rate of 6% p.a.
Calculate
the final balance after 5 years.
a) Using simple interest? (1 mark)
b) Using interest compounded
annually?
(3 marks)
c) Using interest compounded
semi-annually?
(3 marks)
d) Using interest compounded
quarterly?
(3 marks)
[TYPE
YOUR ANSWER TO QUESTION 3 HERE]
QUESTION
4 [10 marks]
a) Eliza invests £22,000 at a 2% interest rate annually.
Compounding the interest annually, how long will it take her to receive the balance of £33,000?
(4
marks)
b) Using Rule 72, calculate how long
will it take Eliza to double her investments?
(2
marks)
c) Mr Ramsbottom invests £32,000 in a
bank savings account and after 10 years his balance is £45,200.20.
Calculate the compound interest
rate he received and round your answer to the second decimal place.
(4 marks)
[TYPE
YOUR ANSWER TO QUESTION 4 HERE]
WEEKS
3 – 4
|
I
know how to….
|
I
can do well
|
I
need practice
|
I’m
not sure
|
I
can’t do
|
|
17. I understand the idea of simple interest
|
☐
|
☐
|
☐
|
☐
|
|
18. I can perform simple interest calculations
|
☐
|
☐
|
☐
|
☐
|
|
19. I understand the idea of compound interest
|
☐
|
☐
|
☐
|
☐
|
|
20. I can perform compound interest calculations using a calculator if
required
|
☐
|
☐
|
☐
|
☐
|
|
21. I understand the Rule of 72 (or 69 or 70) and can apply it.
|
☐
|
☐
|
☐
|
☐
|
QUESTION
5 [8 marks]
a) Find
the value of x if (1 mark)
b) Solve
the equation X + 20 = 70 (1 mark)
c) Solve the equation = 10 (1 marks)
d) To plot the linear graph of y = 3x + 10 complete the
following table:
(NO graph required) (5 marks)
[TYPE
YOUR ANSWER TO QUESTION 5 HERE]
WEEK
5
|
I
know how to….
|
I
can do well
|
I
need practice
|
I’m
not sure
|
I
can’t do
|
|
22. I understand the idea of a linear relationship between two variables
|
☐
|
☐
|
☐
|
☐
|
|
23. I can manipulate a linear equation to solve for a variable
|
☐
|
☐
|
☐
|
☐
|
|
24. I can construct a scatter plot from a set of data (a linear
relationship applies) and apply a line of best fit.
|
☐
|
☐
|
☐
|
☐
|
|
25. I understand the y-intercept and slope (gradient) of a graph and their
meaning to real situations ().
|
☐
|
☐
|
☐
|
☐
|
|
26. I can use the scatter plot produced in part (12) to derive a linear
relationship between two variables ().
|
☐
|
☐
|
☐
|
☐
|
|
27. I can use the relationship from part (14) to extrapolate and
interpolate
|
☐
|
☐
|
☐
|
☐
|
Question
6 [10 marks]
Sarah
Hair Saloon is considering an investment project to purchase and run a Hair
Saloon business. The initial cost is £55,000. The annual cash inflows (income)
are projected to be as follows:
|
Year
1
|
Year
2
|
Year
3
|
Year
4
|
|
£15,000
|
£25,000
|
£45,000
|
£15,000
|
The discount rate for this investment is 8%
p.a., compounded annually.
a) Work out
the Net Present Value (NPV) of this investment. (8 marks)
b) Should
Sarah proceed with this project?
Explain
your reasoning. (2 marks)
[TYPE
YOUR ANSWER TO QUESTION 6 HERE]
WEEK
6
|
I
know how to….
|
I
can do well
|
I
need practice
|
I’m
not sure
|
I
can’t do
|
|
28. I understand the idea of the future value of money
|
☐
|
☐
|
☐
|
☐
|
|
29. I understand the idea the net present value (NPV) of a project
|
☐
|
☐
|
☐
|
☐
|
|
30. I can complete a net present value calculation, using a calculator if
required
|
☐
|
☐
|
☐
|
☐
|
Question
7 [10 marks]
A
set of test scores, marked out of 100, is as follows:
|
66
|
93
|
75
|
58
|
68
|
|
53
|
65
|
92
|
94
|
62
|
|
63
|
74
|
93
|
92
|
95
|
|
58
|
94
|
62
|
78
|
96
|
|
62
|
64
|
87
|
66
|
57
|
a) Produce a
tally of this data set suitable for the production of a histogram (3 marks)
b) Draw a
histogram of this data set (6
marks)
c) Comment on
the distribution of these marks. (1
marks)
[TYPE
YOUR ANSWER TO QUESTION 7 HERE]
WEEK
7
|
I
know how to….
|
I
can do well
|
I
need practice
|
I’m
not sure
|
I
can’t do
|
|
31. I understand the idea of frequency distribution
|
☐
|
☐
|
☐
|
☐
|
|
32. I can read and interpret a histogram
|
☐
|
☐
|
☐
|
☐
|
|
33. I can construct a histogram from a set of data
|
☐
|
☐
|
☐
|
☐
|
Question 8 [8 marks]
Probability
is a measure of the likelihood and can be stated as a ratio, percentage or
generally as a number between zero and one.
a) What is the probability when
the likelihood is impossible?
(1 mark)
b) What is the probability when
the likelihood is certain? (1 mark)
c) Express the probability of
0.06 as a % (2
marks)
d) Josiah tossed a coin and thrown a
die at the same time (simultaneously). Work out the probability of getting a
head on the coin and a 5 on the die.
(4 marks)
[TYPE
YOUR ANSWER TO QUESTION 8 HERE]
WEEK
8
|
I
know how to….
|
I
can do well
|
I
need practice
|
I’m
not sure
|
I
can’t do
|
|
34. I understand simple probabilities
|
☐
|
☐
|
☐
|
☐
|
|
35. I can perform probability calculations, using a calculator if required
|
☐
|
☐
|
☐
|
☐
|
|
36. I understand and can perform exchange rate calculations
|
☐
|
☐
|
☐
|
☐
|
Section
2
Task
1 - Two Real life examples (100 words each) [8 marks]
Give
two real-life situations or problems in businesses that involve the topics
studied in this module (e.g. powers and roots, simple and compound interests,
linear relationships, graphs, probabilities and Net Present values (NPV)).
[TYPE
YOUR ANSWERS TO TASK 1 HERE]
XXXXXXXXXXmarks)
XXXXXXXXXXmarks)
Task
2 - Online Activities [10
marks]
This
relates to the quiz. Please complete and pass all three relevant quiz/activity;
screenshot and save the result’s screen ready to be pasted on the portfolio.
Ensure
the followings are visible before the screenshot:
·
Your full names on the top right-hand corner of the screen
·
Your test result is any score from 40% to 100%
[PASTE
YOUR SCREENSHOTS FOR TASK 2 HERE]
Task
3 - Reflective Log (150 words) [7 marks]
This reflective log should develop as the course proceeds,
and may be the last part to be
completed. Reflect honestly on your experiences throughout the semester. Start
your reflective log from week one by
completing the skills audits and by writing personal weekly notes after each
topic. Please ask for your Tutor’s support if needed.
You
may wish to consider the following points when providing your reflective
comments:
·
Which topics do you feel most confident about? (e.g. powers and roots, interest rates, NPV
etc.)
·
Are there areas for improvement (e.g. in probability, I need do
practice more or research etc.)?
·
How would you evaluate your participation on the module (e.g.
contribution to classes, independent study etc.)?
[TYPE
YOUR ANSWER TO TASK 3 HERE]
|
Student Name:
|
|
|
Student ID Number:
|
|
|
Tutor name:
|
|
This is
your Numeracy 2 e-portfolio which you must submit by Wednesday
25th April 2018 via the Student Portal.
Please read this carefully
This is your Numeracy 2 e-portfolio for the semester
commencing February 2018 (Spring XXXXXXXXXXPlease save a copy on your computer
and back it up regularly (e.g. by saving it on your computer / in the cloud
(e.g. Google Drive) / emailing it to yourself. You should print a working copy
and bring it to all lectures and tutorials. However, at the end of the course,
you will need to submit a completed electronic copy.
Please read carefully the module
handbook, the marking criteria and the grade descriptors.
Academic
Misconduct
You are responsible for ensuring you
understand the policy and regulations about academic misconduct. You must:
•
Complete
this work alone except where required or allowed by this assignment briefing
paper and ensure it has not been written or composed by or with the assistance
of any other person.
•
Make sure
all sentences or passages quoted from other people’s work in this assignment
(with or without trivial changes) are in quotation marks, and are specifically
acknowledged by reference to the author, work and page.
This portfolio consists of two sections:
Section
1 is worth 75% of the final mark and
consists of 8 questions (70%) and periodic Skills Audit (carrying 5%).
Section
2 consists
of 3 tasks. Combined they are worth 25%
of the final mark.
Task 1 –
Two Real life examples (8%)
Task 2 – Online Activity (10%)
Task 3 – Reflective log
(7%)
Portfolio Contents
|
Week
/ Content
|
Section
1 Question
|
Learning
Outcome
|
Page
|
|
Section
1
|
|
1. Recap numeracy 1. Introduction. Powers. Use of calculator
|
1 *
|
1,2
|
|
|
2. Powers, root, logarithms. Use of calculator
|
2 *
|
1,2
|
|
|
3. Simple & compound interest 1
|
3,4 *
|
1,2
|
|
|
4. Linear relationships. Scatter plots.
|
5 *
|
1,2,3
|
|
|
5. Further linear relationships
|
5 *
|
1,2,3
|
|
|
6. The future value of money. Net present value.
|
6 *
|
1,2
|
|
|
7. Presentation of data. Histograms.
|
7 *
|
1,2,3
|
|
|
8. Probability.
|
8*
|
1,2
|
|
|
9. Revision
|
None
|
1,2,3
|
|
|
Section
2
|
|
10. Real-Life Examples
|
N/A
|
1,3
|
|
|
11. Online Activity
|
N/A
|
1,2,3
|
|
|
12. Reflective Log
|
N/A
|
1,2,3
|
|
*
Also assessed in the online quiz, Section 2, Task 3
Section 1
This
section should be filled in as you acquire the skills required for each
question.
Answer
all questions. Please show your workings and/or explain your results as
required.
Marks
will be awarded for good presentation. Please evaluate your progress using the
skills audits provided.
You
may use your calculator as required.
You must show your working.
QUESTION 1 [6
marks]
Powers and Roots:
a) Simplify (2 marks)
b) Simplify (2 marks)
c) Evaluate
(2 marks)
[TYPE
YOUR ANSWER HERE]
QUESTION 2 [8 marks]
a) Express the power 100 1/2 using the root notation and evaluate. (2
marks)
b) Evaluate (2 marks)
c) Simplify 7 (2
marks)
d) Scientific notation allows one to
express large or small numbers in a simpler form. Express the UK population of 65,648,000
in a scientific notation (2 marks)
[TYPE
YOUR ANSWER TO QUESTION 2 HERE]
SKILLS
AUDIT: WEEKS 1 – 2
|
I
know how to….
|
I
can do well
|
I
need practice
|
I’m
not sure
|
I
can’t do
|
|
13. I understand what a power is
|
☐
|
☐
|
☐
|
☐
|
|
14. I can perform calculations and simplifications using power
|
☐
|
☐
|
☐
|
☐
|
|
15. I understand what a root is
|
☐
|
☐
|
☐
|
☐
|
|
16. I can perform calculations and simplifications using roots, using a
scientific or financial calculator if required
|
☐
|
☐
|
☐
|
☐
|
QUESTION 3 [10 marks]
Ann
Miller invests £150,000 at an interest rate of 6% p.a.
Calculate
the final balance after 5 years.
a) Using simple interest? (1 mark)
b) Using interest compounded
annually?
(3 marks)
c) Using interest compounded
semi-annually?
(3 marks)
d) Using interest compounded
quarterly?
(3 marks)
[TYPE
YOUR ANSWER TO QUESTION 3 HERE]
QUESTION
4 [10 marks]
a) Eliza invests £22,000 at a 2% interest rate annually.
Compounding the interest annually, how long will it take her to receive the balance of £33,000?
(4
marks)
b) Using Rule 72, calculate how long
will it take Eliza to double her investments?
(2
marks)
c) Mr Ramsbottom invests £32,000 in a
bank savings account and after 10 years his balance is £45,200.20.
Calculate the compound interest
rate he received and round your answer to the second decimal place.
(4 marks)
[TYPE
YOUR ANSWER TO QUESTION 4 HERE]
WEEKS
3 – 4
|
I
know how to….
|
I
can do well
|
I
need practice
|
I’m
not sure
|
I
can’t do
|
|
17. I understand the idea of simple interest
|
☐
|
☐
|
☐
|
☐
|
|
18. I can perform simple interest calculations
|
☐
|
☐
|
☐
|
☐
|
|
19. I understand the idea of compound interest
|
☐
|
☐
|
☐
|
☐
|
|
20. I can perform compound interest calculations using a calculator if
required
|
☐
|
☐
|
☐
|
☐
|
|
21. I understand the Rule of 72 (or 69 or 70) and can apply it.
|
☐
|
☐
|
☐
|
☐
|
QUESTION
5 [8 marks]
a) Find
the value of x if (1 mark)
b) Solve
the equation X + 20 = 70 (1 mark)
c) Solve the equation = 10 (1 marks)
d) To plot the linear graph of y = 3x + 10 complete the
following table:
(NO graph required) (5 marks)
[TYPE
YOUR ANSWER TO QUESTION 5 HERE]
WEEK
5
|
I
know how to….
|
I
can do well
|
I
need practice
|
I’m
not sure
|
I
can’t do
|
|
22. I understand the idea of a linear relationship between two variables
|
☐
|
☐
|
☐
|
☐
|
|
23. I can manipulate a linear equation to solve for a variable
|
☐
|
☐
|
☐
|
☐
|
|
24. I can construct a scatter plot from a set of data (a linear
relationship applies) and apply a line of best fit.
|
☐
|
☐
|
☐
|
☐
|
|
25. I understand the y-intercept and slope (gradient) of a graph and their
meaning to real situations ().
|
☐
|
☐
|
☐
|
☐
|
|
26. I can use the scatter plot produced in part (12) to derive a linear
relationship between two variables ().
|
☐
|
☐
|
☐
|
☐
|
|
27. I can use the relationship from part (14) to extrapolate and
interpolate
|
☐
|
☐
|
☐
|
☐
|
Question
6 [10 marks]
Sarah
Hair Saloon is considering an investment project to purchase and run a Hair
Saloon business. The initial cost is £55,000. The annual cash inflows (income)
are projected to be as follows:
|
Year
1
|
Year
2
|
Year
3
|
Year
4
|
|
£15,000
|
£25,000
|
£45,000
|
£15,000
|
The discount rate for this investment is 8%
p.a., compounded annually.
a) Work out
the Net Present Value (NPV) of this investment. (8 marks)
b) Should
Sarah proceed with this project?
Explain
your reasoning. (2 marks)
[TYPE
YOUR ANSWER TO QUESTION 6 HERE]
WEEK
6
|
I
know how to….
|
I
can do well
|
I
need practice
|
I’m
not sure
|
I
can’t do
|
|
28. I understand the idea of the future value of money
|
☐
|
☐
|
☐
|
☐
|
|
29. I understand the idea the net present value (NPV) of a project
|
☐
|
☐
|
☐
|
☐
|
|
30. I can complete a net present value calculation, using a calculator if
required
|
☐
|
☐
|
☐
|
☐
|
Question
7 [10 marks]
A
set of test scores, marked out of 100, is as follows:
|
66
|
93
|
75
|
58
|
68
|
|
53
|
65
|
92
|
94
|
62
|
|
63
|
74
|
93
|
92
|
95
|
|
58
|
94
|
62
|
78
|
96
|
|
62
|
64
|
87
|
66
|
57
|
a) Produce a
tally of this data set suitable for the production of a histogram (3 marks)
b) Draw a
histogram of this data set (6
marks)
c) Comment on
the distribution of these marks. (1
marks)
[TYPE
YOUR ANSWER TO QUESTION 7 HERE]
WEEK
7
|
I
know how to….
|
I
can do well
|
I
need practice
|
I’m
not sure
|
I
can’t do
|
|
31. I understand the idea of frequency distribution
|
☐
|
☐
|
☐
|
☐
|
|
32. I can read and interpret a histogram
|
☐
|
☐
|
☐
|
☐
|
|
33. I can construct a histogram from a set of data
|
☐
|
☐
|
☐
|
☐
|
Question 8 [8 marks]
Probability
is a measure of the likelihood and can be stated as a ratio, percentage or
generally as a number between zero and one.
a) What is the probability when
the likelihood is impossible?
(1 mark)
b) What is the probability when
the likelihood is certain? (1 mark)
c) Express the probability of
0.06 as a % (2
marks)
d) Josiah tossed a coin and thrown a
die at the same time (simultaneously). Work out the probability of getting a
head on the coin and a 5 on the die.
(4 marks)
[TYPE
YOUR ANSWER TO QUESTION 8 HERE]
WEEK
8
|
I
know how to….
|
I
can do well
|
I
need practice
|
I’m
not sure
|
I
can’t do
|
|
34. I understand simple probabilities
|
☐
|
☐
|
☐
|
☐
|
|
35. I can perform probability calculations, using a calculator if required
|
☐
|
☐
|
☐
|
☐
|
|
36. I understand and can perform exchange rate calculations
|
☐
|
☐
|
☐
|
☐
|
Section
2
Task
1 - Two Real life examples (100 words each) [8 marks]
Give
two real-life situations or problems in businesses that involve the topics
studied in this module (e.g. powers and roots, simple and compound interests,
linear relationships, graphs, probabilities and Net Present values (NPV)).
[TYPE
YOUR ANSWERS TO TASK 1 HERE]
XXXXXXXXXXmarks)
XXXXXXXXXXmarks)
Task
2 - Online Activities [10
marks]
This
relates to the quiz. Please complete and pass all three relevant quiz/activity;
screenshot and save the result’s screen ready to be pasted on the portfolio.
Ensure
the followings are visible before the screenshot:
·
Your full names on the top right-hand corner of the screen
·
Your test result is any score from 40% to 100%
[PASTE
YOUR SCREENSHOTS FOR TASK 2 HERE]
Task
3 - Reflective Log (150 words) [7 marks]
This reflective log should develop as the course proceeds,
and may be the last part to be
completed. Reflect honestly on your experiences throughout the semester. Start
your reflective log from week one by
completing the skills audits and by writing personal weekly notes after each
topic. Please ask for your Tutor’s support if needed.
You
may wish to consider the following points when providing your reflective
comments:
·
Which topics do you feel most confident about? (e.g. powers and roots, interest rates, NPV
etc.)
·
Are there areas for improvement (e.g. in probability, I need do
practice more or research etc.)?
·
How would you evaluate your participation on the module (e.g.
contribution to classes, independent study etc.)?
[TYPE
YOUR ANSWER TO TASK 3 HERE]