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Integers
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S4
Integers – Positive and Negative
Add /Sub using Thermometer
Add / Sub Integers Mathematica
Multiplying & dividing Integers
Negative Coordinate Grid
12-May-17
Created by Mr. Lafferty Maths Dept
Starter Questions
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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.
12-May-17
10% of £270
Created by Mr. Lafferty Maths Dept
Integers
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S4
Learning Intention
1.
12-May-17
To understand how to add
positive and negative
numbers using the
thermometer as an aid.
Success Criteria
1. To be able to do add and
subtract both positive and
negative integers using a
Created by Mr. Lafferty Maths Dept
thermometer.
Integers
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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
Write down 3 places where negative numbers are used
Interpreting negative numbers
Ex1 Page 16 Round Class
12-May-17
Created by Mr. Lafferty Maths Dept
24
Integers
S4
20
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16
(a)
(b)
(c)
(d)
o
o
4 C up from 12 C
12 + 4 = 16
o
o
8 C down from 10 C
10 - 8 = 2
o
o
3 C up from -2 C
-2 + 3 = 1
o
o
6 C down from 2 C
2 - 6 = -4
12
8
4
0
22
18
14
10
6
2
-4
-8
-12
-16
-20
-24
12-May-17
Created by Mr. Lafferty Maths Dept
UP +
-2
-6
-10
-14
-18
-22
Down -
Integers
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S4
Now try Ex 2
Ch1 (page 19)
12-May-17
Created by Mr. Lafferty Maths Dept
Starter Questions
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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.
12-May-17
50% of £300
Created by Mr. Lafferty Maths Dept
Integers
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S4
Addition & Subtraction
Learning Intention
1.
To explain how to write
down mathematically
addition and subtraction
of negative integers.
Success Criteria
1. To be able to write down
mathematically the
addition and subtraction
of both positive and
negative integers.
12-May-17
Created by Mr. Lafferty Maths Dept
Integers
S4
24
20
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16
(a)
12 + 4 = 16
Go up
4
Start
at 12
(b)
10 +(-8) = 2
Start
at 10
(c)
Go down
8
7 - 10 = -3
Start
12-May-17
at 7
12
8
4
0
22
18
14
10
6
2
-4
-8
-12
-16
-20
-24
Go down
10 Created by Mr. Lafferty Maths Dept
UP +
-2
-6
-10
-14
-18
-22
Down -
Integers
S4
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Examples
(1)
3-7
= -4
(2)
4 + (-9)
= -5
(3)
-7 - 8
= -15
(4)
-2 + (-12)
= -14
(5)
-5 - 25
= -30
(6)
8 + (-9)
12-May-17
= -1
Created by Mr. Lafferty Maths Dept
Remember
“+ -” = “- +” = -
Integers
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S4
Now try Ex 3
Ch1 (page 20)
12-May-17
Created by Mr. Lafferty Maths Dept
Starter Questions
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1.
Calculate 3% of 400
2. x + 5 = -3 Find the value of x
3.
Put in order, smallest first.
20o
0.25, 0.19, 0.01, 0.026
xo
5.
Find the missing angle in the triangle.
12-May-17
Created by Mr. Lafferty Maths Dept.
xo
Integers
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Multiplication & Division
Learning Intention
1. Explain how to multiply and
divide positive and negative
integers.
12-May-17
Success Criteria
1. Understand how to
multiply and divide
positive and negative
integers.
Created by Mr. Lafferty Maths Dept.
With your partner
can try and come up
(+ve) x (+ve) = (+ve)
with the rules for
(-ve) x (–ve) = (+ve)
Multiplication & Division
multiplying integers
(-ve) x (+ve) = (-ve)
Multiplying Integers
(+ve) x (–ve) = (-ve)
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Integers
1 x (-2) = -2
(-2) x (-1) = 2
(-4) x 5 = -20 (- 2) x (-5) = 10
(-3) x 3 = -9
(-5) x (-5) = 25
Same signs
positive answer
5 x (-8) = -40 (-4) x (-8) = =32
12-May-17
Different signs
= negative answer
Created by Mr. Lafferty Maths Dept.
With your partner
can try and come up
with the rules for
Multiplication
multiplying integers
(+ve) ÷ (+ve) = (+ve)
(-ve) ÷ (–ve) = (+ve)
& Division
(-ve) ÷ (+ve) = (-ve)
(+ve) ÷ (–ve) = (-ve)
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Integers
(-2) ÷ 1 = -2
20 ÷ (-5) =-4
(-9) ÷ 3 = -3
(-25) ÷ 5 = -5
12-May-17
(-2) ÷ (-1) = 2
(- 20) ÷ (-5) = 4
(-9) ÷ (-3) = 3Same signs
= positive answer
(-40) ÷ (-8) = 5
Different signs
= negative answer
Created by Mr. Lafferty Maths Dept.
Remember
BODMAS
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S33
Same signs
= positive answer
Integers
MultiplicationDifferent signs
= negative answer
Multiplying Integers
1 + (-2) x (-10) = 21
3 + (-5)2 = 28
8 – (-3)2 = -1
5 x (-2)2 + 5 – 19 = 6
12-May-17
Created by Mr. Lafferty Maths Dept.
Remember
BODMAS
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S33
IntegersSame signs
Division = positive answer
Division Integers
Different signs
= negative answer
1 + (-20) ÷ (-10) = 3
100 ÷ (-5)2 = 4
100 - 36 ÷ (-3)2 = 96
-48 ÷ (6 - 2)2 + 5 = 2
12-May-17
Created by Mr. Lafferty Maths Dept.
Integers
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Multiplication & Division
Now try MIA Ex 4
Ch1 (page 21)
12-May-17
Created by Mr. Lafferty Maths Dept.
Starter Questions
S4
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1. If 25% of £300
2. Calculate the following :
(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
12-May-17
Created by Mr. Lafferty Maths Dept
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S4
Coordinates
Extending the Grid – Negative Numbers
Learning Intention
1. To show how we can
extend the coordinate grid
to include negative
numbers.
12-May-17
Success Criteria
1. Identify main parts of
coordinate grid.
2. Understand the negative grid
both in y-axis direction and
x-axis direction.
Created by Mr. Lafferty Maths Dept
S4
Coordinates
Extending the Grid – Negative Numbers
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We can further extend the negative grid
Plot the point
(-2,2)
y - axis
origin
3
2
1
-4 -3 -2 -1 0 1 2 3 4
-1
-2
-3
1
12-May-17
2
3
4
Created by Mr. Lafferty Maths Dept
x-coordinate is -2
y-coordinate is 2
x - axis
(-4,-2)
x-coordinate is -4
5
y-coordinate is -2
Write down coordinates
of the other points
Coordinates
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S4
Extending the Grid
Now try Ex 5
Ch1 (page 23)
12-May-17
Created by Mr. Lafferty Maths Dept