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3. Guidance Notes for Teachers 1.Some indication of content and range at level 1 and 2 is shown on the next slide. This presentation could be used as an example/demonstration of functional maths by the teacher who might wish to focus on developing the processing skills at each stage. It could also be used as a single project given to students from start to finish. 2.Relevant slides show all the diagrams/questions/answers that are required. 3.End slides have student question sheets and a teacher question/answer sheet. 4.End slides have printable worksheets for students. All the questions are intended to be non-calculator but this is entirely up to the teacher.

4. 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: Hitting the Sales Content and skills covered Coverage and range: Level 2 At least 1 from each area

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6. 1/3 Off Clothes Department: Dresses 1/3 OFF All Dress Prices Shown £45£120£135 £72 £88 1 23 4 5 Q1: What is the price reduction on dress 1? Q2: How much will dress 1 cost in the sale? Q3: Sarah decides to buy both dress 2 and dress 4. How much does she save? Q4: How much does she spend in total? £15 £30 £64 £128

7. 10% Off Clothes Department: Coats/Jackets 10% OFF All Coat Prices Shown £36 £80 £96 £18 £24 1 23 4 5 Q5: What is the price reduction on jacket 2? Q6: How much will jacket 2 cost in the sale? Q7: What is the price of jacket 3 in the sale? Q8: Stuart buys jacket 1 and jacket 2. How much does he pay in total? £8 £72 £86.40 £104.40 Q9: One jacket has a label price that is 2/3 the price of another. Which jackets are these? 5 and 1

8. 50% Off Clothes Department: Tee-Shirts 50% OFF All Tee-Shirt Prices Shown £6 £4.50 £2.50 £8£12 1 23 45 Q10: What is the sale price of Tee-Shirt 2? Q11: What is the ratio of the cost of tee-shirt 1 to tee-shirt 4? Q12: What is the total cost of the label prices of all 5 tee-shirts? Q13: James has £20 to spend and wants to buy all 5 tee-shirts. How much change will he get? £2.25 3:4 £33 £3.50 £6.60 Q14: What is the mean label price of all 5 tee-shirts?

9. 20% Off Clothes Department: Trainers 20% OFF All Trainers Prices Shown £20 £34 £58 £60£18 1 23 4 5 Q15: By how much is a pair of trainers 1 discounted by? Q16: How much will a pair of trainers 3 be in the sale? Q17: What fraction of the trainers are less than £30 Q18: Express this fraction as a decimal and a percentage. £4 £46.40 2/5 0.4/40% £5.60 Q19: Jason bought trainers 3 and 4. How much change did he get from £100?

10. 15% Off Kitchenware: Coffee Makers 15% OFF All Coffee Maker Prices Shown £90£60 £58 £84£54 1 23 45 Q20: Find the discount on coffee maker 2. Q21: What will the discount on coffee make 5 be? Q22: Jane bought coffee maker 4 and paid with 4 x £20 notes. How much change did she get? £9.00 £8.10 £8.60 9/10/0.9/90% Q23: What proportion of the price of coffee maker 2 is coffee maker 5? Write your answer as a fraction/decimal and/percentage?

11. 25% Off Kitchenware: Kettles 25% OFF All kettle Prices Shown £24 £28 £35 £20 1 23 4 5 Q24: Calculate the discount offered on kettle 5. Q25: Calculate the sale price of kettle 2. Q26: What is the modal label price of the kettles? £5 £21 £35 £28 Q27: What is the median label price of the kettles? £15 Q28: What is the range in label prices of the kettles?

12. 30% Off Kitchenware: Toasters 30% OFF All toaster Prices Shown £17 £15 £12 £32£51 1 23 4 5 Q29: Calculate the discount offered on toaster 2? Q30: Calculate the sale price of toaster 5. Q31: What is ratio of the price of toaster 5 to that of toaster 1? £4.50 £35.70 3:1 80% Q32: What percentage of the toasters (label prices) cost more than £12?

13. No VAT Furniture: Living Room We will pay your VAT!! Q33: Calculate the saving made on the dresser. Q34: Calculate the pre-sale price of the dresser. £315 £2115 £1800(ex VAT) £540(ex VAT) Q35: Calculate the saving made on the chair. £94.50 Q36: Calculate the pre-sale price of the chair. £634.50 Q37: A hotel owner wants to buy 10 chairs and 5 dressers for his hotel. How much will he pay. £14 400

14. Mixed Discounts Q38: Mrs Williamson bought all the items below in the sales. Discounts on the label price are shown next to each item. How much did she save in total? £330 £640 £98 £24 £8.20 £50 15% off 1/3 off 10% off 25% 30% off 50% Hitting the Sales Q39: How much did she spend in total? £244.85 £905.35

15. Teacher Q + A Q1: What is the price reduction on dress 1? Q2: How much will dress 1 cost in the sale? Q3: Sarah decides to buy both dress 2 and dress 4. How much does she save? Q4: How much does she spend in total? £15 £30 £64 £128 Q5: What is the price reduction on jacket 2? Q6: How much will jacket 2 cost in the sale? Q7: What is the price of jacket 3 in the sale? Q8: Stuart buys jacket 1 and jacket 2. How much does he pay in total? £8 £72 £104.40 Q9: One jacket has a label price that is 2/3 the price of another. Which jackets are these? 5 and 1 £86.40 Q10: What is the sale price of Tee-Shirt 2? Q11: What is the ratio of the cost of tee-shirt 1 to tee-shirt 4? Q12: What is the total cost of the label prices of all 5 tee-shirts? Q13: James has £20 to spend and wants to buy all 5 tee-shirts. How much change will he get? £2.25 3:4 Q14: What is the mean label price of all 5 tee-shirts? £33 £3.50 £6.60 Q15: By how much is a pair of trainers 1 discounted by? Q16: How much will a pair of trainers 3 be in the sale? Q17: What fraction of the trainers are less than £30 Q18: Express this fraction as a decimal and a percentage. £4 £46.40 2/5 0.4/40% £5.60 Q19: Jason bought trainers 3 and 4. How much change did he get from £100? Teacher Q + A

16. Q20: Find the discount on coffee maker 2. Q21: What will the discount on coffee make 5 be? Q22: Jane bought coffee maker 4 and paid with 4 x £20 notes. How much change did she get? £9.00 £8.10 £8.60 9/10/0.9/90% Q23: What proportion of the price of coffee maker 2 is coffee maker 5? Write your answer as a fraction/decimal and/percentage? Q24: Calculate the discount offered on kettle 5. Q25: Calculate the sale price of kettle 2. Q26: What is the modal label price of the kettles? £5 £21 £35 £28 Q27: What is the median label price of the kettles? £15 Q28: What is the range in label prices of the kettles? Q29: Calculate the discount offered on toaster 2? Q30: Calculate the sale price of toaster 5. Q31: What is ratio of the price of toaster 5 to that of toaster 1? £4.50 £35.70 3:1 80% Q32: What percentage of the toasters (label prices) cost more than £12? Q33: Calculate the saving made on the dresser. Q34: Calculate the pre-sale price of the dresser. £315 £2115 Q35: Calculate the saving made on the chair. £94.50 Q36: Calculate the pre-sale price of the chair. £634.50 Q37: A hotel owner wants to buy 10 chairs and 5 dressers for his hotel. How much will he pay. £14 400 Q38: Mrs Williamson bought all the items below in the sales. Discounts on the label price are shown next to each item. How much did she save in total? Q39: How much did she spend in total? £244.85 £905.35

17. Student Questions Q1: What is the price reduction on dress 1? Q2: How much will dress 1 cost in the sale? Q3: Sarah decides to buy both dress 2 and dress 4. How much does she save? Q4: How much does she spend in total? Q5: What is the price reduction on jacket 2? Q6: How much will jacket 2 cost in the sale? Q7: What is the price of jacket 3 in the sale? Q8: Stuart buys jacket 1 and jacket 2. How much does he pay in total? Q9: One jacket has a label price that is 2/3 the price of another. Which jackets are these? Q10: What is the sale price of Tee-Shirt 2? Q11: What is the ratio of the cost of tee-shirt 1 to tee-shirt 4? Q12: What is the total cost of the label prices of all 5 tee-shirts? Q13: James has £20 to spend and wants to buy all 5 tee-shirts. How much change will he get? Q14: What is the mean label price of all 5 tee-shirts? Q15: By how much is a pair of trainers 1 discounted by? Q16: How much will a pair of trainers 3 be in the sale? Q17: What fraction of the trainers are less than £30 Q18: Express this fraction as a decimal and a percentage. Q19: Jason bought trainers 3 and 4. How much change did he get from £100? Students

18. Q20: Find the discount on coffee maker 2. Q21: What will the discount on coffee make 5 be? Q22: Jane bought coffee maker 4 and paid with 4 x £20 notes. How much change did she get? Q23: What proportion of the price of coffee maker 2 is coffee maker 5? Write your answer as a fraction/decimal and/percentage? Q24: Calculate the discount offered on kettle 5. Q25: Calculate the sale price of kettle 2. Q26: What is the modal label price of the kettles? Q27: What is the median label price of the kettles? Q28: What is the range in label prices of the kettles? Q29: Calculate the discount offered on toaster 2? Q30: Calculate the sale price of toaster 5. Q31: What is ratio of the price of toaster 5 to that of toaster 1? Q32: What percentage of the toasters (label prices) cost more than £12? Q33: Calculate the saving made on the dresser. Q34: Calculate the pre-sale price of the dresser. Q35: Calculate the saving made on the chair. Q36: Calculate the pre-sale price of the chair. Q37: A hotel owner wants to buy 10 chairs and 5 dressers for his hotel. How much will he pay. Q38: Mrs Williamson bought all the items below in the sales. Discounts on the label price are shown next to each item. How much did she save in total? Q39: How much did she spend in total?

19. Worksheet 1

20. Worksheet2