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17-Apr-15Created by Mr. Lafferty Maths Dept Ordering integers Integers www.mathsrevision.com Add / Sub Mathematically Letters and Numbers Multiplying Integers S3 3 Dividing Integers

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17-Apr-15Created by Mr. Lafferty Maths Dept Starter Questions www.mathsrevision.com Q1.Explain why Q2.How many Euros do I get for £20 if exchange rate is £1 1.5 € Q3.The answer to the question is 90. What is the question. S3 3

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17-Apr-15Created by Mr. Lafferty Maths Dept www.mathsrevision.com Learning Intention Success Criteria 1.To be put integers in order of size. 1. To understand how to add positive and negative numbers using the thermometer as an aid. S3 3 Integers

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17-Apr-15Created by Mr. Lafferty Maths Dept www.mathsrevision.com Integers S3 3 Definition :An INTEGER is a negative or positive whole number, including 0. e.g.-2, -1, 0, 5, 100 Note : -2.5, -1.2, 23.5 Are NOT INTEGERS Write down 3 places where negative numbers are used Temperature Sea Level Coordinate Grid Profit and Loss

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17-Apr-15Created by Mr. Lafferty Maths Dept www.mathsrevision.com 1 4 12 11 10 7 9 8 6 5 3 2 0 -4 -12 -11 -10 -7 -9 -8 -6 -5 -3 -2 Negaive -Positive + 12 > 4 -2 > -3 -4 < -1 Integers can be represented on a thermometer or number line. Integers S3 3 The further to the top a number is the bigger it is. Greater than Less than -3.5 < -2.8

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17-Apr-15Created by Mr. Lafferty Maths Dept www.mathsrevision.com 13 24 0 -2 1 3 2 Plot the point (3,2) (-2,2) x - axis y - axis x-coordinate is 3 y-coordinate is 2 origin -3 -4 -2 -3 Plot the point that makes shape a parallelogram. Coordinate Grid (-4,-2) Integers S3 3

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17-Apr-15Created by Mr. Lafferty Maths Dept. Now try Exercise 2.1 Ch2 (page 23) www.mathsrevision.com Integers S3 3

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17-Apr-15Created by Mr. Lafferty Maths Dept Starter Questions www.mathsrevision.com Q1.Is 7 + 6x2 = 26 or 19 Q2.How many euros do I get for £10 if exchange rate is £1 1.4 € Q3.The answer to the question is 30. What is the question. S3 3

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17-Apr-15Created by Mr. Lafferty Maths Dept www.mathsrevision.com Learning Intention Success Criteria 1.To be able to write down mathematically the addition and subtraction of both positive and negative integers. 1. To explain how to write down mathematically addition and subtraction of negative integers. Negative Numbers Addition & Subtraction S3 3

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17-Apr-15Created by Mr. Lafferty Maths Dept Negative Numbers www.mathsrevision.com 1 4 12 11 10 7 9 8 6 5 3 2 0 -4 -12 -11 -10 -7 -9 -8 -6 -5 -3 -2 (a)12 + 4 = (b)10 + ( - 8) = (c) -7 – (- 10) = 2 3 16 Start at 12 Go up 4 S3 3 “+ -” side by side replace by single “-” “- -” side by side replace by single “+” 10 - 8 = -7 + 10 =

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17-Apr-15Created by Mr. Lafferty Maths Dept = -4 www.mathsrevision.com (1) 3 - 7 (2) 4 + (-9) (3) -7 – (- 8) (4) -2 + (-12) (5) -5 – (-25) (6) 8 + (-9) Examples = -5 = 1 = -14 = 20 = -1 Negative Numbers Remember “+ -” = - “- -” = + S3 3

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17-Apr-15Created by Mr. Lafferty Maths Dept. Now try Ex 3.1 to 4.2 Ch2 (page 26) www.mathsrevision.com Integers S3 3

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17-Apr-15Created by Mr. Lafferty Maths Dept Starter Questions Starter Questions www.mathsrevision.com S3 3

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17-Apr-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com Learning Intention Success Criteria 2.Solving expressions showing working. 1.To explain the process of working out expressions by substitution method. 1.Understand process of substitution. Substitution S3 3

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17-Apr-15Created by Mr.Lafferty Maths Dept 1 If a = 2 and b = 14 evaluate a + b 2+14= =16 Sub in a=2 Sub in b=14 www.mathsrevision.com Substitution S3 3

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17-Apr-15Created by Mr.Lafferty Maths Dept If a = 3 and b = -9 evaluate a - b Remember “- -” replace by “+” 3-(-9)= =3 + 9 2 www.mathsrevision.com Substitution =12 S3 3

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17-Apr-15Created by Mr.Lafferty Maths Dept 3 If a = 3 and b = 9 evaluate b 2 – a 2 Remember b 2 means b x b 9x9 – 3x3 81 - 9 = =72 www.mathsrevision.com Substitution S3 3

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17-Apr-15Created by Mr.Lafferty Maths Dept If a = 5 and b = 6 evaluate 1.a + b 2.ab 3.3a 4.b - a 5.4b 6.3ab =11 =30 =15 =1 =24 =90 www.mathsrevision.com Substitution S3 3

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17-Apr-15Created by Mr. Lafferty Maths Dept Now try Exercise 5.1 Ch2 (page 28) Q1 – Q4 www.mathsrevision.com Substitution S3 3

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17-Apr-15Created by Mr.Lafferty Maths Dept www.mathsrevision.com Learning Intention Success Criteria 2.Be able to tidy up like terms. 1.To explain the process of tidying up expressions. 1.Understand the term like terms. Tidying Up Like Terms S3 3

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17-Apr-15Created by Mr.Lafferty Maths Dept Tidying Terms www.mathsrevision.com WE CAN ONLY TIDY UP “LIKE TERMS” 1, 3, 5, -6, 8are like terms simple numbers x, 3x, -2x are like terms in x x 2, 3x 2, -2x 2 are like terms in x 2 x is NOT the same as x 2 S3 3

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17-Apr-15Created by Mr.Lafferty Maths Dept Tidying Terms www.mathsrevision.com 3a 2 – 2a 2 =a 2 3x – 4y – x – 2y = 2x – 6y 4x 2 – x – y + 6x 2 = 10x 2 – x - y Examples S3 3 6p 2 – q – 3q + 6p 2 = 12p 2 – 4q

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17-Apr-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com S3 3

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17-Apr-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1. Explain how to multiply positive and negative integers. 1. Understand how to multiply positive and negative integers. Integers Multiplication S3 3

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17-Apr-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Integers 1 x (-2) = Multiplying Integers 5 x (-8) = (-3) x 3 = (-4) x 5 = (-2) x (-1) = (- 2) x (-5) = (-5) x (-5) = (-4) x (-8) = Rules +ve x -ve = -ve -ve x +ve = -ve Multiplying Integers Multiplication -ve x -ve = +ve +ve x +ve = +ve -2 -20 -9 -40 2 10 25 32 S3 3

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17-Apr-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Integers 1 + (-2) x (-10) = Multiplying Integers 5 x (-2)2 + 5 - 19= 8 – (-3)2 = 3 + (-5)2 = Rules +ve x -ve = -ve -ve x +ve = -ve Multiplying Integers Multiplication -ve x -ve = +ve +ve x +ve = +ve 21 28 -1 6 Remember BODMAS S3 3

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17-Apr-15Created by Mr. Lafferty Maths Dept. Now try MIA Ex 6.1 Ch2 (page 31) www.mathsrevision.com Integers Multiplication S3 3

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17-Apr-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com S3 3

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17-Apr-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1. Explain how to divide positive and negative integers. 1. Understand how to divide positive and negative integers. Integers Division S3 3

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17-Apr-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Integers 8 ÷ (-4) = Dividing Integers 16 ÷ (-2) = (-3) ÷ 3 = (-24) ÷ 6 = (-22) ÷ (-2) = (- 56) ÷ (-7) = (-15) ÷ (-5) = (-4) ÷ (-8) = Rules +ve ÷ -ve = -ve -ve ÷ +ve = -ve Multiplying Integers Division -ve ÷ -ve = +ve +ve ÷ +ve = +ve -2 -4 -1 -8 11 8 3 0.5 S3 3

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17-Apr-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Integers 1 + (-20) ÷ (-10) = Division Integers -48 ÷ (6 - 2)2 + 5 = 100 - 36 ÷ (-3)2 = 100 ÷ (-5)2 = Rules +ve ÷ -ve = -ve -ve ÷ +ve = -ve Multiplying Integers Division -ve ÷ -ve = +ve +ve ÷ +ve = +ve 3 4 96 2 Remember BODMAS S3 3

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17-Apr-15Created by Mr. Lafferty Maths Dept. Now try MIA Ex 8.1 Ch2 (page 31) www.mathsrevision.com Integers Division S3 3

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