Variation Learning Outcomes  Write and simplify ratios.  Divide in a given ratio.  Solve problems where 2 quantities are in direct or indirect proportion.

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Presentation transcript:

Variation Learning Outcomes  Write and simplify ratios.  Divide in a given ratio.  Solve problems where 2 quantities are in direct or indirect proportion.  Know the shapes of graphs representing direct and indirect proportion

Variation Direct Proportion 1. Write the following as equations. a) S r b) P r 2 c) n r 3 2. P is directly proportional to r when P = 20, r = 4. Find (i) the equation linking P and r. (ii) the value of P when r = 3.

Variation Direct Proportion 3.The resistance to motion, R is directly proportional to the square of the speed, V. Given R = 45 when V = 3, find: (i) The equation linking R and V (ii) The value of R when V = 6(iii) The value of V when R = 100

Variation Indirect Proportion If two variables x and y are indirectly proportional as one variable increases the other decreases. y Which we write as an equation y x

Variation Indirect Proportion Write as equations (i) y (ii) y (ii) x is indirectly proportional to the square of v (iv) y when t = 2, y = 6 find (a) formula linking (b) y when t = 4 (c) t when y = 6 y and t

Variation Indirect Proportion (iv) p when p = 6, v = 2 find (a) equation linking (b) p when v = 1.5 (c) v when p = 16 p and v

Variation Ratios (i)Cancel / express the following in the form 1 : n a)2 : 8b) 2 : 50c) 5 : 8 (ii)Express the following in the form m : 1 a)10 : 4b) 16 : 5 (iii)Divide the following quantities in the given ratio a)£100 (3 : 2)b) £500 (4 : 5 : 11)

Additional Notes

Variation Learning Outcomes: At the end of the topic I will be able to Write and simplify ratios. Divide in a given ratio. Solve problems where 2 quantities are in direct or indirect proportion. Know the shapes of graphs representing direct and indirect proportion Can Revise Do Further        