1. 15-Jan-15Created by Mr. Lafferty Maths Dept Integers – Positive and Negative Add /Sub using Thermometer Integers www.mathsrevision.com Add / Sub Integers Mathematically Negative Coordinate Grid S4 Multiplying & dividing Integers

2. 15-Jan-15Created by Mr. Lafferty Maths Dept Starter Questions www.mathsrevision.com 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.

3. 15-Jan-15Created by Mr. Lafferty Maths Dept www.mathsrevision.com 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

4. 15-Jan-15Created by Mr. Lafferty Maths Dept www.mathsrevision.com 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

5. 15-Jan-15 Created by Mr. Lafferty Maths Dept Integers www.mathsrevision.com S4 2 8 24 22 20 14 18 16 12 10 6 4 0 -2 -8 -24 -22 -20 -14 -18 -16 -12 -10 -6 -4 (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 + 12 + 4 = 16 10 - 8 = 2 -2 + 3 = 1 2 - 6 = -4

6. 15-Jan-15Created by Mr. Lafferty Maths Dept Now try Ex 2 Ch1 (page 19) www.mathsrevision.com Integers S4

7. 15-Jan-15Created by Mr. Lafferty Maths Dept Starter Questions www.mathsrevision.com 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.

8. 15-Jan-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. Integers Addition & Subtraction S4

9. 15-Jan-15Created by Mr. Lafferty Maths Dept Integers www.mathsrevision.com S4 2 8 24 22 20 14 18 16 12 10 6 4 0 -2 -8 -24 -22 -20 -14 -18 -16 -12 -10 -6 -4 (a)12 + 4 = (b)10 +(-8) = (c) 7 - 10 = Down -UP + 2 -3 16 Start at 12 Go up 4 Start at 10 Go down 8 Start at 7 Go down 10

10. 15-Jan-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 = -15 = -14 = -30 = -1 Integers S4 Remember “+ -” = - “- +” = -

11. 15-Jan-15Created by Mr. Lafferty Maths Dept Now try Ex 3 Ch1 (page 20) www.mathsrevision.com Integers S4

12. 15-Jan-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com 20 o xoxo xoxo

13. 15-Jan-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com 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

14. 15-Jan-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) = -2 -20 -9 -40 2 10 25 32 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

15. Multiplication & Division 15-Jan-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Integers (-2) ÷ 1 = (-25) ÷ 5 = (-9) ÷ 3 = 20 ÷ (-5) = (-2) ÷ (-1) = (- 20) ÷ (-5) = (-9) ÷ (-3) = (-40) ÷ (-8) = -2 -4 -3 -5 2 4 3 5 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

16. 15-Jan-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 = Multiplication 21 28 -1 6 Remember BODMAS S3 3 Same signs = positive answer Different signs = negative answer

17. 15-Jan-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 = Division 3 4 96 2 Remember BODMAS S3 3 Same signs = positive answer Different signs = negative answer

18. 15-Jan-15Created by Mr. Lafferty Maths Dept. Now try MIA Ex 4 Ch1 (page 21) www.mathsrevision.com Integers Multiplication & Division

19. 15-Jan-15Created by Mr. Lafferty Maths Dept Starter Questions Starter Questions www.mathsrevision.com S4

20. 15-Jan-15Created by Mr. Lafferty Maths Dept www.mathsrevision.com 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

21. 15-Jan-15Created by Mr. Lafferty Maths Dept www.mathsrevision.com Coordinates We can further extend the negative grid 13 24 0 -2 1 3 2 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 -3 -4 -2 -3 Write down coordinates of the other points S4 Extending the Grid – Negative Numbers

22. 15-Jan-15Created by Mr. Lafferty Maths Dept Now try Ex 5 Ch1 (page 23) www.mathsrevision.com Coordinates Extending the Grid S4