15-Jan-15Created by Mr. Lafferty Maths Dept Integers – Positive and Negative Add /Sub using Thermometer Integers Add / Sub Integers Mathematically Negative Coordinate Grid S4 Multiplying & dividing Integers

15-Jan-15Created by Mr. Lafferty Maths Dept Starter Questions S4 Q1.Calculate Q2.How many euros do I get for £20 if exchange rate is £1  1.5 € Q3.What is the time difference 09:28 and 10:50 Q4.The answer to the question is 90. What is the question.

15-Jan-15Created by Mr. Lafferty Maths Dept Learning Intention Success Criteria 1.To be able to do add and subtract both positive and negative integers using a thermometer. 1. To understand how to add positive and negative numbers using the thermometer as an aid. Integers S4

15-Jan-15Created by Mr. Lafferty Maths Dept Integers S4 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 Ex1 Page 16 Round Class Interpreting negative numbers Write down 3 places where negative numbers are used

15-Jan-15 Created by Mr. Lafferty Maths Dept Integers S (a)4 o C up from 12 o C (b)8 o C down from 10 o C (c)3 o C up from -2 o C (d)6 o C down from 2 o C Down -UP = = = = -4

15-Jan-15Created by Mr. Lafferty Maths Dept Now try Ex 2 Ch1 (page 19) Integers S4

15-Jan-15Created by Mr. Lafferty Maths Dept Starter Questions S4 Q1.Calculate Q2.How many euros do I get for £10 if exchange rate is £1  1.4 € Q3.What is the time difference 09:45 and 20:30 Q4.The answer to the question is 30. What is the question.

15-Jan-15Created by Mr. Lafferty Maths Dept 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. Integers Addition & Subtraction S4

15-Jan-15Created by Mr. Lafferty Maths Dept Integers S (a) = (b)10 +(-8) = (c) = Down -UP Start at 12 Go up 4 Start at 10 Go down 8 Start at 7 Go down 10

15-Jan-15Created by Mr. Lafferty Maths Dept = -4 (1) (2) 4 + (-9) (3) (4) -2 + (-12) (5) (6) 8 + (-9) Examples = -5 = -15 = -14 = -30 = -1 Integers S4 Remember “+ -” = - “- +” = -

15-Jan-15Created by Mr. Lafferty Maths Dept Now try Ex 3 Ch1 (page 20) Integers S4

15-Jan-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions 20 o xoxo xoxo

15-Jan-15Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1. Explain how to multiply and divide positive and negative integers. 1. Understand how to multiply and divide positive and negative integers. Integers Multiplication & Division

15-Jan-15Created by Mr. Lafferty Maths Dept. 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) = With your partner can try and come up with the rules for multiplying integers (+ve) x (+ve) = (+ve) (-ve) x (–ve) = (+ve) (-ve) x (+ve) = (-ve) (+ve) x (–ve) = (-ve) Same signs = positive answer Different signs = negative answer

Multiplication & Division 15-Jan-15Created by Mr. Lafferty Maths Dept. Integers (-2) ÷ 1 = (-25) ÷ 5 = (-9) ÷ 3 = 20 ÷ (-5) = (-2) ÷ (-1) = (- 20) ÷ (-5) = (-9) ÷ (-3) = (-40) ÷ (-8) = With your partner can try and come up with the rules for multiplying integers (+ve) ÷ (+ve) = (+ve) (-ve) ÷ (–ve) = (+ve) (-ve) ÷ (+ve) = (-ve) (+ve) ÷ (–ve) = (-ve) Same signs = positive answer Different signs = negative answer

15-Jan-15Created by Mr. Lafferty Maths Dept. Integers 1 + (-2) x (-10) = Multiplying Integers 5 x (-2)2 + 5 – 19 = 8 – (-3)2 = 3 + (-5)2 = Multiplication Remember BODMAS S3 3 Same signs = positive answer Different signs = negative answer

15-Jan-15Created by Mr. Lafferty Maths Dept. Integers 1 + (-20) ÷ (-10) = Division Integers -48 ÷ (6 - 2)2 + 5 = ÷ (-3)2 = 100 ÷ (-5)2 = Division Remember BODMAS S3 3 Same signs = positive answer Different signs = negative answer

15-Jan-15Created by Mr. Lafferty Maths Dept. Now try MIA Ex 4 Ch1 (page 21) Integers Multiplication & Division

15-Jan-15Created by Mr. Lafferty Maths Dept Starter Questions Starter Questions S4

15-Jan-15Created by Mr. Lafferty Maths Dept Learning Intention Success Criteria 1. To show how we can extend the coordinate grid to include negative numbers. 1.Identify main parts of coordinate grid. Coordinates 2. Understand the negative grid both in y-axis direction and x-axis direction. Extending the Grid – Negative Numbers S4

15-Jan-15Created by Mr. Lafferty Maths Dept Coordinates We can further extend the negative grid Plot the point (-2,2) (-4,-2) x - axis y - axis x-coordinate is -2 y-coordinate is 2 x-coordinate is -4 y-coordinate is -2 origin Write down coordinates of the other points S4 Extending the Grid – Negative Numbers

15-Jan-15Created by Mr. Lafferty Maths Dept Now try Ex 5 Ch1 (page 23) Coordinates Extending the Grid S4