‘Boxing Up’ IMCA

1. ‘Boxing Up’IMCA @zebfriedman

2. "Good teaching is more a giving of right questions than a giving of right answers.“Josef Albers ‘Learning is making sense, not just remembering’Geoff Petty Author of Evidence-Based Teaching

3. Why do we need Boxing Up .....? STEM Research suggests that our highest achieving students at both GCSE and A Level are leaving secondary school unable to cope with the mathematical content of the STEM subjects at degree level due to:- • Overly procedural thinking • Poor problem solving skills • Lack of confidence

4. ‘Boxing Up’ addresses this issue. It removes the emphasis for both students and teachers from arriving at the correct answer to an understanding of the thinking needed to arrive at the solution.

5. ‘Boxing Up’ addresses this issue. Secondly, we discovered that our students were struggling with the wordy questions in the Functional GCSE and losing out on some of the Quality of Written Communication marks. Boxing Up provides pupils with a strategy for solving these functional questions.

6. Before: A T-Shirt cost £12 to buy. It is increased in price by 30%. How much does it cost now? (2 marks) After Chris owns a clothes shop and he bought 50 shirts at £12 for each shirt. He chose the selling price of each shirt so that he would make a profit of 30% on each shirt. He sold 20 shirts at this price. Chris then reduced the selling price of each shirt by 15%. He then sold the remaining shirts at this reduced selling price. Has Chris made a profit or loss? You must explain your answer clearly. (5 Marks)

7. Main Story Recap - Boxing Up (IMCA) Maths Story English Story What is the question asking me? What information do I have? Introduction What Maths will I be using? Working out / Calculations Answers, checking and presentation. Conclusion

8. A recipe for 12 people uses 500g of plain flour. How much flour is needed for 18 people? • Green Box - What is the question asking me? • What information do I have? How much flour is needed for 18 people? 12 people use 500g of plain flour.

9. A recipe for 12 people uses 500g of plain flour. How much flour is needed for 18 people? • Blue Box - What maths will I be using? Ratio / Proportion Halving Adding

10. A recipe for 12 people uses 500g of plain flour. How much flour is needed for 18 people? • Red Box – Working out and calculations 12 people = 500g 6 people = 250g 3 people = 125g 12 + 6 = 18 people 500 + 250 = 750g

11. A recipe for 12 people uses 500g of plain flour. How much flour is needed for 18 people? • Yellow Box – Working out and answers 6 people = 250g 6 x 3 = 18 250 x 3 = 750

12. IMCA is a ....... • Strategy for working out (for writing) • Strategy for discussing (asking each other questions) • Strategy for thinking (asking yourself questions)

13. Today’s Task On each table there is a wordy exam problem. You will have 5 minutes at each table to work together to solve the problem using boxing up. Think about the problem. Pair up with the person next to you to decide what to write in each box. Share your answer with the pair opposite. When you hear the buzzer move in a clockwise direction to the next table.

14. Salima books a 7-night holiday in April for two adults. The travel agent adds a percentage surcharge to the cost of the holiday for booking fees. Salima’s final bill is £642.60 What was the percentage surcharge? Percentages – Booking a holiday

15. In 2006, the production cost of the Newton School play was £370. In 2007, due to the fact that the school had to hire some special costumes the production cost increased by 12%. In 2006, the total number of tickets sold for the play was 732. They sold 1/6 more tickets in 2007 In both years the ratio of adult tickets to student tickets was 42 : 19. In 2006, adult tickets cost £3 each and student tickets cost £1.50 each. In 2007 prices were reduced by 10%. Work out the profit or loss made by Newton School in 2006 and 2007. Ratio & Percentages – Tickets

16. Chris owns a clothes shop. He bought 50 shirts at £12 for each shirt. He chose the selling price of each shirt so that he would make a profit of 30% on each shirt. He sold 20 shirts at this price. Chris then reduced the selling price of each shirt by 15%. He then sold the remaining shirts at this reduced selling price. Has Chris made a profit or loss? You must explain your answer clearly. Percentages – Clothes

17. Mr Black is looking at cheaper ways of paying for the gas he uses. He has received the following details from two companies. GASCOM Standing charge per month: £1.00 Cost per kWh: £2.99 UGAS Standing charge per month: £3.78 Cost per kWh: £2.38 Mr Black estimates that he will use 4000 kWh in the next 3 months. From which company would his gas bill be cheaper and by how much? Money – Gas Bill

18. Tickets: Age 16 and over £3.60 Under 16 £2.25

19. 3.7cm 3.7cm 6.1cm 6.1cm Calculate the area of the rectangle. Explain why the area of the parallelogram is equal to the area of the rectangle.

21. What is the question asking me? What Information do I already have? What Maths will I be using? What Calculations and working out do I need to do? How can I check that my Answeris correct?

22. What is the question asking me? What information do I already have?

23. What Maths will I be using?

24. What calculations / working out do I need to do?

25. How can I check that my answer is correct?