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S4. Formulae. Working with Expressions. Formulae expressed in words. www.mathsrevision.com. Evaluating Formulae. S4. Starter Questions. www.mathsrevision.com. Formulae. S4. Learning Intention. Success Criteria. To explain the process of working out expressions by Formulae method.
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S4 Formulae Working with Expressions Formulae expressed in words www.mathsrevision.com Evaluating Formulae Created by Mr.Lafferty Maths Dept
S4 Starter Questions www.mathsrevision.com Created by Mr.Lafferty Maths Dept
Formulae S4 Learning Intention Success Criteria • To explain the process of working out expressions by Formulae method. • Understand process of Formulae. • 2. Solving expressions showing working. www.mathsrevision.com Created by Mr.Lafferty Maths Dept
Formulae S4 If a = 3 and b = 9 evaluate a + b www.mathsrevision.com Sub in a=3 = 3 + 9 Sub in b=9 = 12 Created by Mr.Lafferty Maths Dept
Formulae S4 If a = 3 and b = 9 evaluate ab a x b Remember ab means a x b www.mathsrevision.com Sub in a=3 = 3 9 x Sub in b=9 = 27 Created by Mr.Lafferty Maths Dept
Formulae S4 If a = 3 and b = 9 evaluate 4b 4 x b Remember 4b means 4 x b www.mathsrevision.com = 4 9 x Sub in b=9 = 36 Created by Mr.Lafferty Maths Dept
Formulae S4 If a = 5 and b = 6 evaluate 1. a + b =11 4. b - a =1 2. ab =30 5. 4b =24 www.mathsrevision.com 3. 3a =15 6. 3ab =90 Created by Mr.Lafferty Maths Dept
Formulae S4 If a = 5 and b = 3 evaluate 2a + 4b 2xa + 4xb = Remember 2a means 2 x a Sub in a=5 4x 3 = 2x 5 + www.mathsrevision.com Sub in b=3 = 10 12 + = 22 Created by Mr.Lafferty Maths Dept
Formulae S4 If a = 5 and b = 3 evaluate a 2 a x a = Remember a2 means a x a www.mathsrevision.com Sub in a=5 = 5 5 x = 25 Created by Mr.Lafferty Maths Dept
Remember a means a ÷ b b Formulae S4 If a = 15 and b = 3 evaluate a 15 = b 3 www.mathsrevision.com Sub in a = 15 Sub in b = 3 = 5 Created by Mr.Lafferty Maths Dept
6) b a Formulae S4 If a = 2 and b = 6 evaluate 1) 4a + 3b =26 4) 5b – 3a =24 2) a2 5) 4a2 =4 =16 www.mathsrevision.com 3) b2 =36 =3 Created by Mr.Lafferty Maths Dept
Formulae S4 Now try Ex 1 Ch14 (page 162)
S4 Starter Questions 5 cm 3 cm 3 cm 2.5 cm 4 cm www.mathsrevision.com
Formulae S4 Learning Intention Success Criteria • To explain how to work with formulae expressed in words. • Understand formulae expressed in words. • 2. Solve problems given formulae in words. www.mathsrevision.com www.mathsrevision.com
Formulae S4 Sometimes formulae are expressed in words. 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
Formulae S4 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 £51 C=30 + 3 x 7 =
Formulae S4 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 + £2.01 Profit =12 – 9.99 =
Formulae S4 Now try Ex 2 Ch14 (page 164)
S4 Starter Questions 1. Does 3 + 2 x 4 = 11 or 20 www.mathsrevision.com
Formulae S4 Learning Intention Success Criteria • To explain how to evaluate formulae • Understand the term • formulae. • 2. Be able to substitute values into formulae and evaluate properly using BODMAS. www.mathsrevision.com www.mathsrevision.com
S4 A formula is the process calculating a quantity based on a known relationship e.g. Length, Area, Volume etc........ Formulae It is VERY important that we remember a keypoint when working with formulae. B Brackets O Other squares and square root etc.... D Divide M Multiplication A Addition S Subtraction
Formula for Parallelogram S4 Example 1 : Find the area of parallelogram. 3cm 9cm
Formulae for the Volume of a Sphere S4 D = diameter r D www.mathsrevision.com Q. If the above sphere has radius 10cm. Calculate it’s volume.
Formulae for Volume of a Cone S4 h r www.mathsrevision.com • If the above cone has radius 15cm and height • of 10 cm. Calculate it’s volume.
Formulae S4 Now try Ex 3 Ch14 (page 166)