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19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
FormulaeFormulae
Formulae expressed in words
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Working with Expressions
Evaluating Formulae
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19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
Starter QuestionsStarter Questionsw
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2.
2 13. 2 1
3 4
a a d a a d
Simplify
The ratio of apples to pears is 2:5.
I f there are 28 pieces of f ruit in total.
How many apples are there.
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19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Deptww
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2.2. Solving expressions Solving expressions showing working.showing working.
1. To explain the process of working out expressions by Formulae method.
1.1. Understand process of Understand process of Formulae.Formulae.
S4FormulaeFormulae
19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
If a = 3 and b = 9 evaluate
a + b
3 +9=
= 12
Sub in a=3Sub in b=9
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S4FormulaeFormulae
19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
If a = 3 and b = 9 evaluate
ab
Sub in a=3Sub in b=9
Remember ab means a x b
a x b
3 x 9=
= 27ww
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S4FormulaeFormulae
19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
If a = 3 and b = 9 evaluate
4b
Sub in b=9
Remember 4b means 4 x b
4 x b
4 x 9=
= 36
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S4FormulaeFormulae
19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
If a = 5 and b = 6 evaluate1. a + b2. ab
3. 3a
4. b - a
5. 4b
6. 3ab
=11=30=15
=1
=24=90w
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S4FormulaeFormulae
19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
If a = 5 and b = 3 evaluate2a +
4bSub in a=5Sub in b=3
Remember 2a means 2 x a
2xa + 4xb
2x5 +4x3
=
=
= 10 + 12= 22
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S4FormulaeFormulae
19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
If a = 5 and b = 3 evaluatea
Sub in a=5
Remember a2 means a x a
a x a
5 x 5
=
=
= 25
2
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S4FormulaeFormulae
19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
If a = 15 and b = 3 evaluate
aSub in a = 15
153
=
= 5
bSub in b = 3
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S4FormulaeFormulae
19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
If a = 2 and b = 6 evaluate1) 4a +
3b2) a2
3) b2
5) 4a2
4) 5b – 3a
6) ba
=26=
4=36
=24=16
=3
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S4FormulaeFormulae
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Starter Starter QuestionsQuestions
1. Calculate the area of the following shapes.
2. Round to nearest 100
(a) 47856 (b) 90 (c) 249.5
Q3. Explain why 15% of £ 360 = £ 54
5 cm
2.5 cm 3 cm
4 cm
3 cm
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www.mathsrevision.comwww.mathsrevision.comww
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1. To explain how to work with formulae expressed in words.
1.1. Understand formulae Understand formulae expressed in words.expressed in words.
Formulae
2.2. Solve problems given Solve problems given formulae in words.formulae in words.
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Formulae
A tile fitter charges £20 per hour.
How much will he charge for 8 hours of work.
C = 20xh
For h = 8
C = 20 x 8 =
£160
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Formulae
The cost for hiring a carpet cleaner is
£30 plus £3 a day
How much will it cost to hire for a week.
C = 30 + 3d
For d = 7
C = 30 + 3 x 7 =
£51
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Formulae
Profit :
Subtract how much you paid for goods in the first place from the amount you actually sold them for.
How much profit did Daniel make if he bought a CD for £9.99 and sold it for £12
+
Profit = 12 – 9.99 =
£2.01
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www.mathsrevision.comwww.mathsrevision.com
Starter QuestionsStarter Questions
1. Does 3 + 2 x 4 = 11 or 20
212. Calculate of 6
2
3. True or f alse I f a = 9 and b = -3
b b - a = 4
a
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www.mathsrevision.comwww.mathsrevision.comww
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1. To explain how to evaluate formulae
1.1. Understand the term Understand the term formulae.formulae.
Formulae
2.2. Be able to substitute Be able to substitute values into formulae and values into formulae and evaluate properly using evaluate properly using BODMAS.BODMAS.
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Formulae
A formula is the process calculating a quantity based on a known relationship e.g. Length, Area,
Volume etc........It is VERY important that we remember a keypoint
when working with formulae.
BODMAS
Brackets
Other squares and square root etc....
Divide
Multiplication
Addition
Subtraction
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Formula for Parallelogram
Example 1 : Find the area of parallelogram.
Parallelogram Area b h
Area = 9 32Area = 27cm
9cm
3cm
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1r = radius = D
2
3 34Volume = π(10) =4187cm
3
34Volume = πr
3
Formulae for the Volume of a Sphere
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r
D
D = diameter
Q. If the above sphere has radius 10cm.
Calculate it’s volume.
Q. If the above cone has radius 15cm and height
of 10 cm. Calculate it’s volume.
Formulae for Volume of a Cone
h = Perpendicular height
2 31Volume = π(15) 10 = 2355cm
3
r = radius
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r
h21
Volume Cone = πr h3
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