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Guidance Notes for Teachers Some indication of content and range at level 1 and 2 is shown on the next slide. It could also be used as a single project given to students from start to finish. Relevant slides show all the diagrams/questions/answers that are required. End slides have student question sheets and a teacher question/answer sheet. End slides have printable worksheets for students. Calculator symbols are suggestions only and could be removed depending on the group. The majority of questions in this presentation are designed to be non- calculator. Generic Advice: The preparation below is advisable in the majority of presentations. 1.Print off the teacher question and answer sheets/worksheets 2.Print off the student question sheets/worksheets 3.Run through the presentation yourself answering the questions 4.Decide how you are going to deliver the presentation. (a) Are you going to go through it from start to finish with the class, perhaps using it as an example/demonstration of functional maths and focusing on the development of the processing skills involved at each stage? (b) Are you going to use only part of the presentation? (c) Are you simply going to use the presentation to introduce the activity and let the class work on their own through the question sheets but refer to some of the elements/answers within the presentation when needed? 5.Remember the slides are editable so if you wish to introduce an open question/small investigation of your own then simply choose the relevant slide add/delete your own text (using a text box if needed).

Content and Skills Coverage and range: Level 1 Understand and use whole numbers and recognise negative numbers in practical contexts Add, subtract, multiply and divide using a range of mental methods Multiply and divide whole numbers by 10 and 100 using mental arithmetic Understand and use equivalences between common fractions, decimals and percentages Add and subtract decimal up to two decimal places Solve simple problems involving ratio, where one number is a multiple of the other Use simple formulae expressed in words for one- or two-step operations Solve problems requiring calculation with common measures including money, time, length, weight, capacity and temperature Convert units of measure in the same system Work out areas, perimeters and volumes in practical situations Construct models and draw shapes, measuring and drawing angles and identifying line symmetry Extract and interpret information from tables, diagrams, charts and graphs Collect and record discrete data and organise and represent information in different ways Find mean and range Use probability to show that some events are more likely to occur than others Understand outcomes, check calculations and explain results Understand and use positive and negative numbers of any size in practical contexts Carry out calculations with numbers of any size in practical contexts Understand, use and calculate ratio and proportion, including problems involving scale Understand and use equivalences between fractions, decimals and percentages Add and subtract fractions; add, subtract, multiply and divide decimals to a given number of decimal places Understand and use simple equations and simple formulae involving one- or two-step operations Recognise and use 2D representations of 3D objects. Find area, perimeter and volume of common shapes Use, convert and calculate using metric and, where appropriate, imperial measures Collect and represent discrete and continuous data, using ICT where appropriate Use and interpret statistical measures, tables and diagrams, for discrete and continuous data using ICT where appropriate Use statistical methods to investigate situations Use a numerical scale from 0 to 1 to express and compare probabilities Title: Student Loans Content and skills covered Coverage and range: Level 2 At least 1 from each area

Introduction

Living at Home Living Away from home outside London Living Away from home in London Non-Final Year £3,838£4,950£6,928 Final Year £3,483£4,583£6,307 Student Loans Annual Course Fees: Students entering full-time education can receive help with course fees and living costs. For courses starting in September 2010 the maximum course fee is £3290 and full loans are available for these. They are paid directly by the government to the university/college. The amount you get does not depend on your household income. Accommodation and other living costs: Maintenance loans are available to help with living expenses such as accommodation, food, bills, books etc. The amount you get depends on where you study. It is also dependent on your household income. Maximum Maintenance Loans for 2010/11

Questions Living at Home Living Away from home outside London Living Away from home in London Non-Final Year £3,838£4,950£6,928 Final Year £3,483£4,583£6,307 Student Loans Maximum Maintenance Loans for 2010/11 Annual Course Fees: Students entering full-time education can receive help with course fees and living costs. For courses starting in September 2010 the maximum course fee is £3290 and full loans are available for these. They are paid directly by the government to the university/college. The amount you get does not depend on your household income. Question 1. How much less is the maximum maintenance loan in the final year than in the first year for someone living at home? £355 Question 2. What is the difference in the maximum maintenance allowance between students living away from home outside London and those living away from home in London? £1,978 Question 3. Course fees are likely to rise sharply in the coming years. How much would they be if they rose by 10% above the 2010 cost? £3,619

Living at Home Living Away from home outside London Living Away from home in London Non-Final Year£3,838£4,950£6,928 Final Year£3,483£4,583£6,307 Maximum Maintenance Loans for 2010/11 Maximum Course Fee (Annual) = £3,290 Asif (£3,290: 3 year) Beth (£3,200: 3 year) John (£2,900: 2 year) Pete (£2,880: 3 year) Amy (£3,290: 3 year) The table gives information on some students that started university in Annual course fees and degree length are shown, together with information on where they studied. Assuming that both the maximum course fees and maintenance loans were taken out in each case and that the loans don’t change over the period of their courses answer the following: Question 4. What proportion of the students are studying for a 3 year degree. Express this as (a) A fraction (b) A percentage (c) A decimal 4/580%0.8 Question 5. What proportion of the students are living away from home outside London. Express this as: (a) A fraction (b) A percentage (c) A decimal 3/560%0.6

Living at Home Living Away from home outside London Living Away from home in London Non-Final Year£3,838£4,950£6,928 Final Year£3,483£4,583£6,307 Asif (£3,290: 3 year) Beth (£3,200: 3 year) John (£2,900: 2 year) Pete (£2,880: 3 year) Amy (£3,290: 3 year) Question 6. How much more is Asif paying for a one-year course than Beth?£90 Question 7. Which student is paying a course fee that is 10% less than Beth’s?Pete Question 8. Work out the total course fees for John’s degree. £5,800 The table gives information on some students that started university in Annual course fees and degree length are shown, together with information on where they studied. Assuming that both the maximum course fees and maintenance loans were taken out in each case and that the loans don’t change over the period of their courses answer the following: Maximum Maintenance Loans for 2010/11 Maximum Course Fee (Annual) = £3,290

Living at Home Living Away from home outside London Living Away from home in London Non-Final Year£3,838£4,950£6,928 Final Year£3,483£4,583£6,307 Asif (£3,290: 3 year) Beth (£3,200: 3 year) John (£2,900: 2 year) Pete (£2,880: 3 year) Amy (£3,290: 3 year) Question 9. Work out the total course fees for Amy. £9870 Question 10. Calculate the total maximum maintenance loan for John’s degree. £9,533 The table gives information on some students that started university in Annual course fees and degree length are shown, together with information on where they studied. Assuming that both the maximum course fees and maintenance loans were taken out in each case and that the loans don’t change over the period of their courses answer the following: Maximum Maintenance Loans for 2010/11 Maximum Course Fee (Annual) = £3,290

Living at Home Living Away from home outside London Living Away from home in London Non-Final Year£3,838£4,950£6,928 Final Year£3,483£4,583£6,307 Asif (£3,290: 3 year) Beth (£3,200: 3 year) John (£2,900: 2 year) Pete (£2,880: 3 year) Amy (£3,290: 3 year) Question 11. Work out the total borrowing costs for Asif at the end of his degree course? £21,029 Question 12. Work out the total borrowing costs for Amy at the end of her degree course? £30,033 Question 13. Pete hopes to have a part time job in his second year and thinks that he will get by OK with just 2/3 of the maximum maintenance loan for that year. How much will that be? £3,300 Maximum Maintenance Loans for 2010/11 Maximum Course Fee (Annual) = £3,290

Living at Home Living Away from home outside London Living Away from home in London Non-Final Year£3,838£4,950£6,928 Final Year£3,483£4,583£6,307 Asif (£3,290: 3 year) Beth (£3,200: 3 year) John (£2,900: 2 year) Pete (£2,880: 3 year) Amy (£3,290: 3 year) Question 14. Amy hopes to have a part time job in her second year and thinks that she will get by OK with just 80% of the maximum maintenance loan for that year. How much will this be? (nearest £) £5,542 Question 15. Beth wants to borrow the absolute minimum for her degree and she thinks that she can get by, by taking just ½ the maximum maintenance loan for the second and third years. How much will this save her? (nearest £) £4,767 Maximum Maintenance Loans for 2010/11 Maximum Course Fee (Annual) = £3,290

Living at Home Living Away from home outside London Living Away from home in London Non-Final Year£3,838£4,950£6,928 Final Year£3,483£4,583£6,307 Question 16. In reality, course fees will go up each year, at least in line with inflation. Work out the maximum course fee assuming a 3% rise each year for: (a) 2011/12 (b) 2012/13 £3,389£3,490 Maximum Maintenance Loans for 2010/11 Maximum Course Fee (Annual) = £3,290

Grants Household Income Maintenance Grant Maintenance Loan Total for 2010/11 £25,000£2,906£3,497£6,403 £30,000£1,906£3,997£5,903 £34,000£1,106£4,397£5,503 £40,000£711£4,595£5,306 £50,020£50£4,925£4,975 £60,000 or moreNo Grant£3,564 Maintenance Grants: Students may be entitled to a Maintenance Grant. The size of the grant depends on the household income. It is assumed that students who receive a maintenance grant will no longer require the maximum maintenance loan (£4,950) so this is reduced accordingly as shown in the table below. (Only six examples of household income are listed) Figures based on a student living away from home outside London Question 17. For every £1 of grant awarded, 50p is deducted from the maximum maintenance loan. Check that the figures in the table confirm this. Question 18. Shreeva’s household income is £30,000, by how much is her maximum maintenance loan reduced? £953 £4,950 – ½ of £2,906 = £3,497 etc

Question 19. Jason’s mother has a salary of £28,000, and his father has a salary of £42,000. How much maintenance grant will Jason receive? None Question 20. Robert’s household income is £78,000. Calculate the percentage reduction in his maintenance loan due to his lack of grant. (3564/4950) x 100 = 72% Household Income Maintenance Grant Maintenance Loan Total for 2010/11 £25,000£2,906£3,497£6,403 £30,000£1,906£3,997£5,903 £34,000£1,106£4,397£5,503 £40,000£711£4,595£5,306 £50,020£50£4,925£4,975 £60,000 or moreNo Grant£3,564 Figures based on a student living away from home outside London Maintenance Grants: Students may be entitled to a Maintenance Grant. The size of the grant depends on the household income. It is assumed that students who receive a maintenance grant will no longer require the maximum maintenance loan (£4,950) so this is reduced accordingly as shown in the table below. (Only six examples of household income are listed)

Repaying Repaying Loans: Loans are paid back at the rate of 9% of any earnings above £15,000 per year. Question 21. Calculate the annual repayments for each graduate below. 1. Jamilah works as a trainee accountant on £18,000 per year. 2. Alice earns £2000 per month in the Royal Air Force. 3. Ross earns £7 per hour and works 40 hours/week at a local engineering factory. 1. 9% of £3,000 = £ £2,000 month = 12 x £2,000 = £24,000 per year. So loan repaid = 9% of £9000 = £ £280 per week = 52 x £280 = £14,560 per year therefore nothing to pay.

Worksheet Living at Home Living Away from home outside London Living Away from home in London Non-Final Year£3,838£4,950£6,928 Final Year£3,483£4,583£6,307 For Questions Living at Home Living Away from home outside London Living Away from home in London Non-Final Year£3,838£4,950£6,928 Final Year£3,483£4,583£6,307 Asif (£3,290: 3 year) Beth (£3,200: 3 year) John (£2,900: 2 year) Pete (£2,880: 3 year) Amy (£3,290: 3 year) For Questions Maximum Maintenance Loans for 2010/11 Maximum Annual Course Fee = £3,290 Maximum Maintenance Loans for 2010/11 Household Income Maintenance Grant Maintenance Loan Total for 2010/11 £25,000£2,906£3,497£6,403 £30,000£1,906£3,997£5,903 £34,000£1,106£4,397£5,503 £40,000£711£4,595£5,306 £50,020£50£4,925£4,975 £60,000 or moreNo Grant£3,564 Figures based on a student living away from home outside London For Questions Repaying Loans: Loans are paid back at the rate of 9% of any earnings above £15,000 per year. For Questions 21 Worksheet

Teacher Q + A (1) Question 1. How much less is the maximum maintenance loan in the final year than in the first year for someone living at home? £355 Question 2. What is the difference in the maximum maintenance allowance between students living away from home outside London and those living away from home in London? £1,978 Question 3. Course fees are likely to rise sharply in the coming years. How much would they be if they rose by 10% above the 2010 cost? £3,619 Question 4. What proportion of the students are studying for a 3 year degree. Express this as (a) A fraction (b) A percentage (c) A decimal 4/580%0.8 Question 5. What proportion of the students are living away from home outside London. Express this as: (a) A fraction (b) A percentage (c) A decimal 3/560%0.6 Question 6. How much more is Asif paying for a one-year course than Beth? £90 Question 7. Which student is paying a course fee that is 10% less than Beth’s? Pete Question 8. Work out the total course fees for John’s degree. £5,800 Question 9. Work out the total course fees for Amy. £9870 Question 10. Calculate the total maximum maintenance loan for John’s degree. £9,533 Teacher Q + A (1)

Teacher Q + A (2) Question 11. Work out the total borrowing costs for Asif at the end of his degree course? £21,029 Question 12. Work out the total borrowing costs for Amy at the end of her degree course? £30,033 Question 13. Pete hopes to have a part time job in his second year and thinks that he will get by OK with just 2/3 of the maximum maintenance loan for that year. How much will that be? £3,300 Question 14. Amy hopes to have a part time job in her second year and thinks that she will get by OK with just 80% of the maximum maintenance loan for that year. How much will this be? (nearest £) £5,542 Question 15. Beth wants to borrow the absolute minimum for her degree and she thinks that she can get by, by taking just ½ the maximum maintenance loan for the second and third years. How much will this save her? (nearest £) £4,767 Question 16. In reality, course fees will go up each year, at least in line with inflation. Work out the maximum course fee assuming a 3% rise each year for: (a) 2011/12 (b) 2012/13 £3,389£3,490 Question 17. For every £1 of grant awarded, 50p is deducted from the maximum maintenance loan. Check that the figures in the table confirm this. Question 18. Shreeva’s household income is £30,000, by how much is her maximum maintenance loan reduced? £953 £4,950 – ½ of £2,906 = £3,497 etc Question 19. Jason’s mother has a salary of £28,000, and his father has a salary of £42,000. How much maintenance grant will Jason receive? None Question 20. Robert’s household income is £78,000. Calculate the percentage reduction in his maintenance loan due to his lack of grant. (3564/4950) x 100 = 72% Question 21. Calculate the annual repayments for each graduate below. (see slide 15) 1. 9% of £3,000 = £ £2,000 month = 12 x £2,000 = £24,000 per year. So loan repaid = 9% of £9000 = £ £280 per week = 52 x £280 = £14,560/year therefore nothing to pay. Teacher Q + A (2)

Student Q (1) Question 1. How much less is the maximum maintenance loan in the final year than in the first year for someone living at home? Question 2. What is the difference in the maximum maintenance allowance between students living away from home outside London and those living away from home in London? Question 3. Course fees are likely to rise sharply in the coming years. How much would they be if they rose by 10% above the 2010 cost? Question 4. What proportion of the students are studying for a 3 year degree. Express this as (a) A fraction (b) A percentage (c) A decimal Question 5. What proportion of the students are living away from home outside London. Express this as: (a) A fraction (b) A percentage (c) A decimal Question 6. How much more is Asif paying for a one-year course than Beth? Question 7. Which student is paying a course fee that is 10% less than Beth’s? Question 8. Work out the total course fees for John’s degree. Question 9. Work out the total course fees for Amy. Question 10. Calculate the total maximum maintenance loan for John’s degree. Student Question Sheet (1)

Student Q (2) Question 11. Work out the total borrowing costs for Asif at the end of his degree course? Question 12. Work out the total borrowing costs for Amy at the end of her degree course? Question 13. Pete hopes to have a part time job in his second year and thinks that he will get by OK with just 2/3 of the maximum maintenance loan for that year. How much will that be? Question 14. Amy hopes to have a part time job in her second year and thinks that she will get by OK with just 80% of the maximum maintenance loan for that year. How much will this be? (nearest £) Question 15. Beth wants to borrow the absolute minimum for her degree and she thinks that she can get by, by taking just ½ the maximum maintenance loan for the second and third years. How much will this save her? (nearest £) Question 16. In reality, course fees will go up each year, at least in line with inflation. Work out the maximum course fee assuming a 3% rise each year for: (a) 2011/12 (b) 2012/13 Question 17. For every £1 of grant awarded, 50p is deducted from the maximum maintenance loan. Check that the figures in the table confirm this. Question 18. Shreeva’s household income is £30,000, by how much is her maximum maintenance loan reduced? Question 19. Jason’s mother has a salary of £28,000, and his father has a salary of £42,000. How much maintenance grant will Jason receive? Question 20. Robert’s household income is £78,000. Calculate the percentage reduction in his maintenance loan due to his lack of grant. Question 21. Calculate the annual repayments for each graduate below. Student Question Sheet (2)