Created by Mr. Lafferty Maths Dept Negative Numbers Integers – Positive and Negative Add /Sub using Thermometer www.mathsrevision.com Add / Sub Mathematically Negative Coordinate Grid 5-Apr-17 Created by Mr. Lafferty Maths Dept

Created by Mr. Lafferty Maths Dept 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. 5-Apr-17 Created by Mr. Lafferty Maths Dept

Created by Mr. Lafferty Maths Dept Negative Numbers Addition & Subtraction Learning Intention Success Criteria 1 We are learning how to add positive and negative numbers. Understand how to add and subtract both positive and negative integers using a thermometer. www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept

Created by Mr. Lafferty Maths Dept Integers 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 59 Round Class 5-Apr-17 Created by Mr. Lafferty Maths Dept

Created by Mr. Lafferty Maths Dept Negative Numbers 24 22 20 14 18 16 12 10 UP + (a) 4oC up from 12 o C 8 12 + 4 = 16 6 4 (b) 8oC down from 10 o C 2 10 - 8 = 2 -2 Down - (c) 3oC up from -2 o C -4 -2 + 3 = 1 -6 -8 www.mathsrevision.com (d) 6oC down from 2 o C -24 -22 -20 -14 -18 -16 -12 -10 2 - 6 = -4 5-Apr-17 Created by Mr. Lafferty Maths Dept

Created by Mr. Lafferty Maths Dept Negative Numbers Your turn ! Page 61 Exercise 2 www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept

Created by Mr. Lafferty Maths Dept 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. 5-Apr-17 Created by Mr. Lafferty Maths Dept

Created by Mr. Lafferty Maths Dept Negative Numbers Addition & Subtraction Learning Intention Success Criteria 1 We are learning how to write down mathematically addition and subtraction of negative integers. To be able to write down mathematically the addition and subtraction of both positive and negative integers. www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept

Created by Mr. Lafferty Maths Dept Negative Numbers 24 22 20 14 18 16 12 10 UP + (a) 12 + 4 = 16 8 6 4 Go up 4 Start at 12 2 -2 Down - (b) 10 +(-8) = 2 -4 -6 -8 www.mathsrevision.com Start at 10 Go down 8 -24 -22 -20 -14 -18 -16 -12 -10 (c) 7 - 10 = -3 Start at 7 Go down 10 5-Apr-17 Created by Mr. Lafferty Maths Dept

Created by Mr. Lafferty Maths Dept Negative Numbers 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 5-Apr-17 Created by Mr. Lafferty Maths Dept

Created by Mr. Lafferty Maths Dept Negative Numbers Your turn ! Page 61 Exercise 2 Q1 and Q2 www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept

Created by Mr. Lafferty Maths Dept Starter Questions www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept

Created by Mr. Lafferty Maths Dept Coordinates Extending the Grid – Negative Numbers Learning Intention Success Criteria Remember the main parts of a coordinate grid. 1. We are learning 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 5-Apr-17 Created by Mr. Lafferty Maths Dept

Coordinates www.mathsrevision.com Extending the Grid – Negative Numbers We can further extend the negative grid y - axis Plot the point (-2,2) 3 x-coordinate is -2 2 1 y-coordinate is 2 www.mathsrevision.com -4 -3 -2 -1 1 2 3 4 x - axis -1 (-4,-2) -2 -3 x-coordinate is -4 y-coordinate is -2 Write down coordinates of the other points 5-Apr-17 Created by Mr. Lafferty Maths Dept

Created by Mr. Lafferty Maths Dept Coordinates Extending the Grid Now try Exercise 4 Ch5 (page 64) www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept