Support (from Y7 teaching programme)
• Break a complex calculation into simpler steps, choosing and using appropriate and efficient operations, methods and resources, including ICT
Understand the relationship between ratio and proportion; solve simple problems about ratio and proportion using informal strategies.
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Core (from Y8 teaching programme)
• Consolidate understanding of the relationship between ratio & proportion; reduce a ratio to its simplest form, including a ratio expressed in different units, recognising links with fraction notation; divide a quantity into two or more parts in a given ratio; use the unitary method to solve simple word problems involving ratio & direct proportion .
• Solve more complex problems by breaking them into smaller steps or tasks, choosing and using efficient techniques for calculation
• Solve more demanding problems and investigate in a range of contexts: number and measures
• Use logical argument to establish the truth of a statement ; give solutions to an appropriate degree of accuracy in the context of the problem
• Identify the necessary information to solve a problem; represent problems and interpret solutions in algebraic or graphical form , using correct notation
• Suggest extensions to problems, conjecture and generalise; identify exceptional cases or counter-examples
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Extension (from Y9 teaching programme)
• Use proportional reasoning to solve a problem, choosing the correct numbers to take as 100%, or as a whole; compare two ratios; interpret and use ratio in a range of contexts, including solving word problems.
Present a concise, reasoned argument, using symbols, diagrams and graphs and related explanatory text
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KS3 Y8 MR Minipack
~ Interacting series OHT starters – proportional sets; scale factors
MAP
~ Fractions OHT
~ Equivalents jigsaw (new Frac Dec.ppt)
~ Play your cards right (comparing FDP)
~ If we could shrink the world
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Mymaths
Ratios jackpot game
Ratio - Introduction
Ratio - Dividing
Proportion Introduction
Active worksheets
Ratio generator
Simplify a two-part ratio
Simplify a two-part ratio
MAP
~ Money and percentages (Klymchuk)
~ Find the exchange rates for converting £400 to euros from banks / PO/ bureaux de change. (No coins). (Compare this with buying travellers' cheques and exchanging in Europe on three separate days, what was the overall exchange rate on these days?)
BOLT MAA
~ 30 Gear trains
~ 97 Division patterns
KS3
~ Y8 MR minipack
~ Y8 FDP Transition lessons
~ Proportion or not? Sheets PR1-4 L6/7
~ Lesson plan Handout PR3
MEDIAN
~ Baked bean tins / Best buys L6
~ Concrete L5
~ Rectangles / A Golden ratio L5/6
~ Dividing in a ratio L6/7
PRESTAGE / PERKS
~ Coffee beans ratios L5/6
SMILE FDP makes sense
~ Ratio problems L6
WORCS
~ Of a £9000 windfall, Andrew gets 1/3 minus £600, Betty ¼ minus £500, Carol 1/5 minus £200, Dave 1/6 plus £150. How much is left for Eddie? As a fraction?
~ Great Grandma's will L5/6
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ATM Mathematical problem solving
~ Dividing by sums
BOTM
~ Y8 Fractions, Decimals & Percentages
~ Y8 Ratio
HORN, Cornwall
~ Paper proportionality
SMILE
~ Ratio L4-6
MAP
~ Design a spreadsheet that someone could use to transfer cost price to selling price, using 30% mark-up. How could they use this to find the cost price from the selling price?
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MAP
~ Fractions images / OHTs
~ Proportional sets 1
~ Proportional sets 2
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The answer is ‘£350 and £450' What is the question?
Draw a golden rectangle (sides are in the ratio 1:1.618) Divide into the largest square possible and a rectangle. What do you notice about the resulting rectangle?
Is a 10% increase on £300 the same as 30% increase on £100? Why?
If you increase by e.g. 20% then by a further 20% is this the same as inc by 40%? Explain your answer
Ratio of squash to water is 1:3. Is 2:5 stronger or weaker?
Are these number sets in proportion? |
MAP – Level Ladders
~ Fractions
~ Percentages
KS3 MR pack is sufficient for Able Y8.
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