15-Jan-15Created by Mr. Lafferty Maths Dept Integers – Positive and Negative Add /Sub using...

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

Integers – Positive and Negative

Add /Sub using Thermometer

IntegersIntegersw

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Add / Sub Integers Mathematically

Negative Coordinate Grid

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Multiplying & dividing Integers


Starter QuestionsStarter Questionsw

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10% of £270Q1. 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 thequestion.

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

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1.1. To be able to do add To be able to do add and subtract both and subtract both positive and negative positive and negative integers using a integers using a thermometer.thermometer.

1. To understand how to add positive and negative numbers using the thermometer as an aid.

IntegersIntegersS4


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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 ClassInterpreting negative numbers

Write down 3 places where negative numbers are used

11 Apr 202311 Apr 2023

Created by Mr. Lafferty Maths DeptCreated by Mr. Lafferty Maths Dept

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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


Now try Ex 2Ch1 (page 19)

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50% of £300Q1. 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 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 addition and subtraction of both positive and of both positive and negative integers.negative integers.

1. To explain how to write down mathematically addition and subtraction of negative integers.

IntegersIntegersAddition & Subtraction

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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


= -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

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Remember

“+ -” = -

“- +” = -



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


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Calculate 3

2. x + 5 = - 3 Find the value of x

3. Put in order, smallest first.

0.25, 0.19, 0.01, 0.026

5. Find the missing angle in the triangle.

% of 4001.

20o

xoxo

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1. Explain how to multiply and divide positive and negative integers.

1. Understand how to multiply and divide positive and negative integers.

IntegersIntegersMultiplication & Division

Multiplication & Division


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IntegersIntegers

1 1 xx (-2) = (-2) =

Multiplying Integers

5 5 x x (-8) =(-8) =

(-3) (-3) xx 3 = 3 =

(-4) (-4) xx 5 = 5 =

(-2) (-2) xx (-1) = (-1) =

(- 2) (- 2) xx (-5) = (-5) =

(-5) (-5) x x (-5) =(-5) =

(-4) (-4) xx (-8) = (-8) =

-2-2

-20-20

-9-9

-40-40

22

1010

2525

3232

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


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IntegersIntegers

(-2) ÷ 1 =(-2) ÷ 1 =

(-25) ÷(-25) ÷ 55 = =

(-9) ÷ 3 =(-9) ÷ 3 =

20 ÷ (-5) =20 ÷ (-5) =

(-2) (-2) ÷÷ (-1) = (-1) =

(- 20) (- 20) ÷ ÷ (-(-5) =5) =

(-9) (-9) ÷ ÷ (-3) =(-3) =

(-40) (-40) ÷ ÷ (-8) =(-8) =

-2-2

-4-4

-3-3

-5-5

22

44

33

55

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)




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IntegersIntegers

1 1 ++ (-2) (-2) xx (-10) = (-10) =

Multiplying Integers

5 5 x x (-2)(-2)22 + 5 – 19 = + 5 – 19 =

8 – (-3)8 – (-3)22 = =

3 + (-5)3 + (-5)22 = =

Multiplication

2121

2828

-1-1

66

Remember BODMAS

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IntegersIntegers

1 1 ++ (-20) (-20) ÷÷ (-10) = (-10) =

Division Integers

-48 -48 ÷ ÷ (6 - 2)(6 - 2)22 + 5 = + 5 =

100 - 36 100 - 36 ÷÷ (-3) (-3)22 = =

100 100 ÷÷ (-5) (-5)22 = =

Division

33

44

9696

22

Remember BODMAS

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

Now try MIA Ex 4Ch1 (page 21)

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1. I f 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. To show how we can extend the coordinate grid to include negative numbers.

1. Identify main parts of coordinate grid.

CoordinatesCoordinates

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

Extending the Grid – Negative NumbersS4


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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

origin

-3

-4 -2-3 -1

Write down coordinatesof the other points

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Extending the Grid – Negative Numbers



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CoordinatesCoordinatesExtending the Grid

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15-Jan-15Created by Mr. Lafferty Maths Dept Integers – Positive and Negative Add /Sub using...

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