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Integers

S4. Integers. Integers – Positive and Negative. Add /Sub using Thermometer. Add / Sub Integers Mathematically. www.mathsrevision.com. Multiplying & dividing Integers. Negative Coordinate Grid. S4. Starter Questions. Q1. Calculate. Q2. How many euros do I get for £20 if

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Integers

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

  2. S4 Starter Questions 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 www.mathsrevision.com Q4. The answer to the question is 90. What is the question. Created by Mr. Lafferty Maths Dept

  3. Integers S4 Learning Intention Success Criteria • 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. www.mathsrevision.com Created by Mr. Lafferty Maths Dept

  4. 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 www.mathsrevision.com Write down 3 places where negative numbers are used Interpreting negative numbers Ex1 Page 16 Round Class Created by Mr. Lafferty Maths Dept

  5. 24 22 20 18 16 14 12 10 UP + Down - -10 -12 -14 -16 -18 -20 -22 -24 Integers S4 (a) 4oC up from 12 o C 8 6 12 + 4 = 16 4 (b) 8oC down from 10 o C 2 10 - 8 = 2 0 -2 (c) 3oC up from -2 o C -4 -6 -2 + 3 = 1 -8 www.mathsrevision.com (d) 6oC down from 2 o C 2 - 6 = -4 Created by Mr. Lafferty Maths Dept

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

  7. S4 Starter Questions 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 www.mathsrevision.com Q4. The answer to the question is 30. What is the question. Created by Mr. Lafferty Maths Dept

  8. Integers S4 Addition & Subtraction Learning Intention Success Criteria • 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. www.mathsrevision.com Created by Mr. Lafferty Maths Dept

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

  10. Integers S4 Examples Remember “+ -” = - “- +” = - (1) 3 - 7 = -4 (2) 4 + (-9) = -5 (3) -7 - 8 = -15 www.mathsrevision.com (4) -2 + (-12) = -14 (5) -5 - 25 = -30 (6) 8 + (-9) = -1 Created by Mr. Lafferty Maths Dept

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

  12. Starter Questions 20o www.mathsrevision.com xo xo Created by Mr. Lafferty Maths Dept.

  13. Integers Multiplication & Division Learning Intention Success Criteria 1. Understand how to multiply and divide positive and negative integers. • 1. Explain how to multiply and divide positive and negative integers. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  14. 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) Integers Multiplication & Division Multiplying Integers 2 1 x (-2) = -2 (-2) x (-1) = -20 (-4) x 5 = (- 2) x (-5) = 10 www.mathsrevision.com -9 (-3) x 3 = 25 (-5) x (-5) = Same signs = positive answer Different signs = negative answer 32 (-4) x (-8) = -40 5 x (-8) = Created by Mr. Lafferty Maths Dept.

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

  16. Same signs = positive answer Different signs = negative answer Remember BODMAS Integers S33 Multiplication Multiplying Integers 1 + (-2) x (-10) = 21 28 3 + (-5)2 = www.mathsrevision.com -1 8 – (-3)2 = 6 5 x (-2)2 + 5 – 19 = Created by Mr. Lafferty Maths Dept.

  17. Remember BODMAS Same signs = positive answer Different signs = negative answer Integers S33 Division Division Integers 1 + (-20) ÷ (-10) = 3 4 100 ÷ (-5)2 = www.mathsrevision.com 96 100 - 36 ÷ (-3)2 = 2 -48 ÷ (6 - 2)2 + 5 = Created by Mr. Lafferty Maths Dept.

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

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

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

  21. Coordinates S4 Extending the Grid – Negative Numbers We can further extend the negative grid Plot the point y - axis (-2,2) 3 x-coordinate is -2 2 1 y-coordinate is 2 www.mathsrevision.com origin 0 -2 -3 -1 2 4 -4 1 3 x - axis -1 (-4,-2) -2 -3 x-coordinate is -4 y-coordinate is -2 Write down coordinates of the other points Created by Mr. Lafferty Maths Dept

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

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