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11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths DeptCreated by Mr. Lafferty Maths Dept

Negative Negative NumbersNumbers

Integers – Positive and Negative

Add /Sub using Thermometer

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Add / Sub Mathematically

Negative Coordinate Grid

MNU 2-04a MNU 3-04a

11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths DeptCreated by Mr. Lafferty Maths Dept

Starter QuestionsStarter Questionsw

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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 thequestion.

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1.1. Understand how to add Understand how to add and subtract both and subtract both positive and negative positive and negative integers using a integers using a thermometer.thermometer.

1 We are learning how to add positive and negative numbers.

Negative Negative NumbersNumbers

Addition & Subtraction

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IntegersIntegers

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 59 Round ClassInterpreting negative numbers

Write down 3 places where negative numbers are used

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NegativeNumbers

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2

8

2422

20

14

1816

1210

64

0-2

-8

-24

-22-20

-14

-18-16

-12-10

-6-4

(a) 4oC up from 12

o C

(b) 8oC down from 10

o C

(c) 3oC up from -2

o C

(d) 6oC down from 2

o C

Down -

UP +12 + 4 = 16

10 - 8 = 2

-2 + 3 = 1

2 - 6 = -4

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Your turn !

Page 61 Exercise 2

Negative Numbers

MNU 2-04a MNU 3-04a

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Starter QuestionsStarter Questionsw

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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 thequestion.

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1.1. To be able to write down To be able to write down mathematically the mathematically the addition and subtraction of addition and subtraction of both positive and negative both positive and negative integers.integers.

1 We are learning how to write down mathematically addition and subtraction of negative integers.

Negative Negative NumbersNumbers

Addition & Subtraction

MNU 2-04a MNU 3-04a

11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths DeptCreated by Mr. Lafferty Maths Dept

NegativeNumbers

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2

8

2422

20

14

1816

1210

64

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

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= -4

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(1) 3 - 7

(2) 4 + (-9)

(3) -7 - 8

(4) -2 + (-12)

(5) -5 - 25

(6) 8 + (-9)

Examples

= -5

= -15

= -14

= -30

= -1

Negative Negative NumbersNumbers

Remember

“+ -” = -

“- +” = -

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Your turn !

Page 61 Exercise 2Q1 and Q2

Negative Numbers

MNU 2-04a MNU 3-04a

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1. 25% of £ 300

2. Calculate the f ollowing :

(a) 3.45 x 10 (b) 7.5 100

(c) 5789 1000

3. How long between half past eight

in the moring to 14:20 hrs

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1. We are learning how we can extend the coordinate grid to include negative numbers.

1. Remember the main parts of a coordinate grid.

CoordinatesCoordinates

2. Understand the negative grid both in y-axis direction and x-axis direction.

Extending the Grid – Negative Numbers

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CoordinatesCoordinates

We can further extend the negative grid

1 32 540

1

3

2

5

4

1 32 40

-2

1

-1

32

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

-3

-4 -2-3 -1

Write down coordinatesof the other points

Extending the Grid – Negative Numbers

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11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths DeptCreated by Mr. Lafferty Maths Dept

Now try Exercise 4Ch5 (page 64)

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CoordinatesCoordinatesExtending the Grid