Core (from Y9 teaching programme)
Solve increasingly demanding problems and evaluate solutions; explore connections in mathematics across a range of contexts: number, algebra, shape, space and measures, handling data.
Represent problems and synthesise information in algebraic, geometric or graphical form; move from one form to another to gain a different perspective on the problem.
Solve substantial problems by breaking them into simpler tasks, using a range of efficient techniques, methods and resources, including ICT ; use trial and improvement where a more efficient method is not obvious; give solutions to problems to an appropriate degree of accuracy .
Present a concise, reasoned argument, using symbols, diagrams, graphs and related explanatory text
Suggest extensions to problems, conjecture and generalise; identify exceptional cases or counter-examples, explaining why. |
Extension (from Y9 objectives for able pupils)
Generate fuller solutions to increasingly demanding problems
Recognise limitations on the accuracy of data and measurements ; give reasons for choice of presentation, explaining selected features and showing insight into the problem's structure.
Justify generalisations, arguments or solutions; pose extra constraints and investigate whether particular cases can be generalised further. |
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ATM
~ PROOF in elementary geometry
BOLT MAA
~ 125 The effect of inflation
CORNWALL / Framework UAM
~ Handling data 2
MAP
~ Areas of overlap
~ Exploring Pythagoras
~ Exploring trigonometry
~ Driving in France
~ Creative dice
~ Digame
PoD
~ 1/7 Keep moving!
SHELL (Red and Blue books)
~ Problems |
MAP
~ Is it worth buying a car for commuting?
SMILE Spreadsheets make sense
~ A Rich Aunt
~ Averaging out |
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What do you need to know before you begin? What are the rules'?
Can algebra be used to represent this problem?
What is the first thing you need to do? Why? Justify?
What difference does it make if you round part way through a complex calculation?
Is this always / sometimes / never true?
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Developing reasoning - all activities
MAP
Extended task:
World Statistics
Database
Outline
Task-sheet
Mark-scheme
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