Solving everyday problems, including problems involving mobile phone tariffs, currency transactions, shopping, VAT, meter readings, and timetables.
Making value for money calculations and judgments.Using ratio and proportion. Measure and time.
I should be able to:
Foundation Level
– solve problems that involve finding profit or loss, % profit or loss (on the cost price), discount, % discount, selling price, compound interest for not more than 3 years, income tax (standard rate only), net pay (including other deductions of specified amounts)
– calculate, interpret and apply units of measure and time
– solve problems that involve calculating average speed, distance and time
– check a result by considering whether it is of the right order of magnitude and by working the problem backwards; round off a result
– make and justify estimates and approximations of calculations; calculate percentage error and tolerance
– calculate average rates of change (with respect to time)
– solve problems involving
• finding depreciation(reducing balance method)
• costing: materials, labour and wastage
• metric system; change of units; everyday imperial units (conversion factors provided for imperial units)
– estimate of the world around them, e.g. how many books in a library
Ordinary Level
– check a result by considering whether it is of the right order of magnitude and by working the problem backwards; round off a result
– accumulate error (by addition or subtraction only)
– make and justify estimates and approximations of calculations; calculate percentage error and tolerance
– calculate average rates of change (with respect to time)
– solve problems that involve
• calculating cost price, selling price, loss, discount, mark up (profit as a % of cost price), margin (profit as a % of selling price)
• compound interest, • finding depreciation(reducing balance method), income tax and net pay (including other deductions)
• costing: materials, labour and wastage
• metric system; change of units; everyday imperial units (conversion factors provided for imperial units)
– make estimates of measures in the physical world around them
Higher Level
– use present value when solving problems involving loan repayments and investments
Investigating Compound Interest
Exploring Numbers in context - Compound Interest & Finding e
GEO: Discrete compounding approaching continuous compounding