Old Specification: AO1 Using and applying (20% included within subject knowledge) AO2 Number and algebra ~ 50% AO3 Shape Space and Measures ~ 30% AO4 Handling Data ~ 20% New Specification: AO1 Recall and use their knowledge of the prescribed Content (Old AO2, AO3, AO4) 45 –55% AO2 Select and apply mathematical methods in a 25 –35% range of contexts AO3 Interpret and analyse problems and generate 15 – 25% strategies to solve them
In essence About 50% Techniques split about Number and algebra 50 – 60% Geometry and measures 20 – 30% Statistics and probability 15 – 25% About 30% Choose an appropriate method to solve a problem About 20% Analyse a problem and find a method of solution In addition, quality of written communication will be assessed About (5% included within the total paper)
Quality of Written Communication (QWC) Students will be assessed on their ability to: i) ensure text is legible and spelling, punctuation and grammar are accurate so meaning is clear by using correct notation and labelling conventions ii) select and use a form and style of writing appropriate to purpose and to complex subject matter iii) organise information clearly and coherently, using specialist vocabulary when appropriate. • ~ 5% of the marks, generally on questions that are worth 4 marks or more • * by the question number on the examination paper
Impact on Teaching and Learning • The changes mean that there will be more questions that • are set in a context • will have elements of functional skills • will have more words • will be problems to solve • will need more than one skill area in its solution • will expect candidates to show their working
Instead of Find 65% of £120. (2 marks)You might getJules buys a new jacket in a sale.The original cost of the jacket was £120In the sale the price is reduced by 35%.What is the sale price of the jacket?(3 marks)Both these questions would be AO1 with the second having functional skills. Examples from Edexcel Sale35% off
Examples from Edexcel Instead of Solve 10x + 14 = 22 You might get The perimeter of this shape is 22 cm. 2x + 7 x 3x x All measurements Find the area. are in centimetres The second question is AO2 because there are different methods of solution and candidates would have to choose which method to use.
This question can be seen on old and new specs £3.80 £3.50 200g 175g Large Regular A Large tub of popcorn costs £3.80 and holds 200g. A Regular tub of popcorn costs £3.50 and holds 175g. Which is the better value for money? (3 marks) This would be AO3 as it is a problem to solve and candidates would have to decide on their strategy. Best buy questions may become a regular feature on our papers though with frequent use they will possibly become routine and cease being a problem to solve. Examples from Edexcel
Questions that are problems to solve Examples from Edexcel Example Question Sam and Linda keep hens and sell the eggs that the hens lay. They have 140 hens. Each hen lays an average of 6 eggs each week. The hens each eat about 100g of food each day. The hen food costs £6.75 for a 25kg bag. What is the least Sam and Linda need to charge for a dozen eggs so that they cover the cost of the hen food? (6 marks) Eggs for sale
Mark schemes Outline mark scheme Per day M1 140 hens eat 100 × 140 = 14 000 g = 14 kg each day M1 A1 Cost of 14 kg of hen food = 6.75 ÷ 25 × 14 = £3.78 M1 Number of eggs 140 × 6 ÷ 7 = 120 each day 120 eggs = 10 dozen M1 Food for 1 dozen eggs costs £3.78 ÷ 10 = 37.8p C1 Cost for one dozen 38p Per hen M11 hen eats 100g each day M1 A1 25 kg ÷ 100 g = 25 000 ÷ 100 = 250 days M1 A1 6.75 ÷ 250 = 2.7 p each day It takes 14 days to lay a dozen eggs. M1 Cost of food = 2.7 × 14 = 37.8p C1 Cost for one dozen 38p Per week M1 140 × 6 = 840 eggs per week or 70 dozen M1 A1 Weight of food 100 × 140 × 7 = 98 kg M1 Cost of food = 6.75 ÷ 25 × 98 = £26.46 M1 Cost of food for 1 dozen eggs 26.46 ÷ 70 = 37.8p C1 Cost for one dozen 38p
How can this be achieved in the classroom? • Use problem solving strategies and investigations throughout KS3 and KS4 • Use old GCSE investigations • Emphasise the importance of showing your working • Register for the UK Maths challenge at KS3 & 4 • Teach students how to split a question up into its component parts.
Question Bank Source: Edexcel, AQA, OCR Spec, Practice & Modular Papers Focus: D/C topics Mapping: best fit to topic (however nature of AO2 & AO3 means that questions are multi – topic based)
Question Bank QWC Mix Topics