16 Jun 2022 16 Jun 2022 Created by Mr. Lafferty Maths Dept. Created by Mr. Lafferty Maths Dept. Direct Direct Proportion Proportion www.mathsrevision.com Direct Proportion Graphs Direct Proportion formula and calculation Inverse Direct Proportion Direct Proportion Other Direct Proportion formula
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11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Direct Direct ProportionProportion
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Direct Proportion Graphs
Direct Proportion formula and calculations
Inverse Direct Proportion
Direct Proportion
Other Direct Proportion formula
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
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2. Calculate the area of the shape.
3 2+4 3
(a) 0.13 (b) 0.02 (c) 1.09
1. 3x + 5 = 17
3. How many significant numbers
4.
9
6
8
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
1. To explain how to work out harder Direct Proportion formula.
1. Understand the process for calculating direct proportion formula.
Direct Direct ProportionProportion
2. Calculate k for harder direct proportion formula.
Harder Direct Proportion Formula
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Direct Direct ProportionProportion
Q. Given that y is directly proportional to the square of x, and when y = 40, x = 2.
Find a formula connecting y and x when .
Since y is directly proportional to x squaredthe formula is of the form
y = kx2
40 = k(2)2
k = 40 ÷ 4 = 10y = 10x2
Harder Direct Proportion Formula
y
x
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Direct Direct ProportionProportion
Q. Calculate y when x = 5
y = 10x2
y = 10(5)2 = 10 x 25 = 250
Harder Direct Proportion Formula
y
x
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Direct Direct ProportionProportion
Q. The cost (C) of producing a football magazine varies as the square root of the number of pages (P). Given 36 pages cost 45p to produce. Find a formula connecting C and P.
Since C is directly proportional to “square root of” P the formula is of the form
k = 48 ÷ 6 = 8
Harder Direct Proportion Formula
C =k P48 =k 36
C =8 P
y
x
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Direct Direct ProportionProportion
Q. How much will 100 pages cost.
Harder Direct Proportion Formula
C =8 100
C =8 100 =8×10 =80p
y
x
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Exercise 4BCh8 (page 106)
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Direct Direct ProportionProportion
Harder Direct Proportion Formula
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
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2.
3. Calculate 1 1 2 4
1. Simplfy the ratio 95 : 35
Calculate 0.5 + 1.45 x 2
11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww