Proportion

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 1 Introduction to the idea of direct and inverse proportion
 
E.g. 8 pencils cost £2.40. How much do 11 cost? (non-calculator)
E.g. 8 pencils cost £2.56. How many can be bought for £4.80? (calculator)
E.g. It takes 4 men 12 hours to tarmac a road. How many men are needed to tarmac the same road in 8 hours?

Proportion Intro CB
           
 2 Solving proportion problems involving converting units of currency and best buy

Best buy and units CB
           
 3 Algebraic approach (finding the constant k) to solving problems involving direct proportion involving squares, cubes, roots and cube roots

Direct and Inverse Proportion mymaths
Direct Proportion JEE
Direct Proportion - Powerpoint lesson
           
4
Algebraic approach (finding the constant k) to solving inverse proportion problems involving squares, cubes, roots and cube roots – great emphasis should be placed on showing method clearly and not using a calculator where appropriate

Direct and Inverse Proportion mymaths
Inverse Poportion - Powerpoint lesson






5
Draw graphs of variables that are in direct or inverse proportion. Understand that a straight line graph going through the origin indicates direct proportion whereas a curve with the shape of 1/x indicates inverse proportion.

Extend to the idea that for the equation y = 3x2 if you plot y against x you will get a curve but if you plot y against x2 you will get a straight line going through the origin because y is directly proportional to x2






6
Main: mix of questions involving direct and inverse proportion