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GCSE Mathematics Old Spec to New Spec Examination Preparation

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## GCSE Mathematics Old Spec to New Spec Examination Preparation

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**GCSE Mathematics Old Spec to New SpecExamination Preparation****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