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To complete To complete balancing balancing
calculations. calculations.
7 x 10 = 82 – p7 x 10 = 82 – p5 x 4 = 40 – n5 x 4 = 40 – n6 x 7 = 80 - t6 x 7 = 80 - t5 x 5 = 20 + p5 x 5 = 20 + p6 x 6 = 12 x n6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n
Joanne Smithies Our Lady & St. Gerards RCP
Learning Objective
The distance The distance around the around the outside of a outside of a
shape is called shape is called the perimeter.the perimeter.
8 cm8 cm
6 cm6 cm
8 cm8 cm
6 cm6 cm
The perimeter of the shape is 8 + 6 + 8 The perimeter of the shape is 8 + 6 + 8 + 6 = 28cm.+ 6 = 28cm.
First we need to find the length of each side by First we need to find the length of each side by counting the squarescounting the squares..
What is the What is the perimeter perimeter of each of of each of
these these shapes? shapes?
18cm18cm18cm18cm
18cm18cm22cm22cm
26cm26cm
Now find the Now find the perimeter of perimeter of
these shapes. these shapes. They are not They are not
drawn to drawn to scale.scale.
3cm3cm
3cm3cm
3cm3cm
3cm3cm
3cm3cm
3cm3cm
5cm5cm
7cm7cm7cm7cm
3cm3cm
4cm4cm 4cm4cm
4cm4cm 4cm4cm
3cm3cm 3cm3cm
3cm3cm3cm3cm
Perimeter = 18cmPerimeter = 18cm Perimeter = 22cmPerimeter = 22cm Perimeter = 28cmPerimeter = 28cm
77ccmm
5cm5cm
5cm5cm
33ccmm
33ccmm
33ccmm
3cm3cm 3cm3cm
3cm3cm
To order Fractions
Learning Objective
Use a protractor to draw and measure acute and obtuse
angles to the nearest degree.
4251
0011 0010 1010 1101 0001 0100 1011
What are the properties of a protractor??
A protractor
Here is a standard protractor like you use in the classroom.
4251
0011 0010 1010 1101 0001 0100 1011
When we use a protractor, we need to line it up
correctly.
You need to make sure the protractor is lined up correctly.
Is this ready to measure the angle?
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0011 0010 1010 1101 0001 0100 1011
Were you right......................it wasn’t
Look for the upside down ‘T’ in the middle of the straight line on your protractor.
This needs to be exactly on the vertex of your angle.
4251
0011 0010 1010 1101 0001 0100 1011
We need to remember.....
It doesn’t matter which way round the angle is, you ALWAYS need to line the upsidedown ‘T’ to the vertexof the angle.
4251
0011 0010 1010 1101 0001 0100 1011
Now you are ready.
Read from the 0°, and follow the inner set of numbers.
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0011 0010 1010 1101 0001 0100 1011
Once you reach 30° you need to be careful!!!
You then need to look at the 1° markings on the outer set of numbers.
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0011 0010 1010 1101 0001 0100 1011
What does it measure?
This angle measures 35°.
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0011 0010 1010 1101 0001 0100 1011
What does it measure?
This angle measures......
4251
0011 0010 1010 1101 0001 0100 1011
What does it measure?
This angle measures......
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0011 0010 1010 1101 0001 0100 1011
Mr Obtuse Angle
This is Obtuse. He’s the husband of the family. He’s bigger than Right and Acute . He’s always inside, and he always measures between 90° and 180° (depending on how much dinner he’s eaten!)
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0011 0010 1010 1101 0001 0100 1011
Mrs. Right Angle
This is me. I’m Mrs. Right Angle. I always measure 90°, my favourite shape is a square, and whats more, no matter what my husband tells you, I’m always right!
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0011 0010 1010 1101 0001 0100 1011
Baby Acute AngleThis is baby Acute angle. Isn’t he cute?! He loves a hug, and always has his arms out for cuddles! He’s the smallest of the family, measuring less than 90°.
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0011 0010 1010 1101 0001 0100 1011
Reflex AngleThis is our pet dog, Reflex. He’s always outside. He’s only a pup at the moment so he measures 180°, but he can grow up to 360 °! So he’s definitely the biggest angle. You’ll never see him without that ball in his mouth either, horrid thing!
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0011 0010 1010 1101 0001 0100 1011
So, now you’ve met us, let’s see how well you
know us...Who am I?
I’m the smallest angle
I always measure less than 90°
I’m very cute!
4251
0011 0010 1010 1101 0001 0100 1011
I’m....
4251
0011 0010 1010 1101 0001 0100 1011
Who am I?
I’m the biggest angle
I’m always outside
I can measure between 180° and 360°
4251
0011 0010 1010 1101 0001 0100 1011
I’m...
Reflex Angle
4251
0011 0010 1010 1101 0001 0100 1011
Who am I?
I’m always inside
I always measure between 90° and 180 °
I’m bigger than Right and Acute
4251
0011 0010 1010 1101 0001 0100 1011
I’m...
4251
0011 0010 1010 1101 0001 0100 1011
Who’s left?
YOUR TASK!
1. Draw an angle2. Estimate it’s size in
degrees3. Measure4. Write what type of
angle it is
To order Fractions, Decimals and Percentages.
Learning Objective
Measure and calculate angles at a
point.
HOW MANY RIGHT ANGLES IN A CIRCLE?
90°
HOW MANY DEGREES IN A CIRCLE?
HOW MANY DEGREES IN A STRAIGHT LINE?
WHAT ARE THESE ANGLES?
A120 °
CALCULATE THE MISSING REFLEX
ANGLE
47°
313°
CALCULATE THE MISSING STRAIGHT
LINE ANGLE
69° 111°
CALCULATE THE MISSING REFLEX
ANGLE
126°
234°
CALCULATE THE MISSING STRAIGHT
LINE ANGLE
42°
103°35°
Learning Objective
Calculate angles in a triangle.
PROPERTY OF TRIANGLES
The sum of all the angles equals 180º degrees. 60º
60º60º+
180º60º 60º60º
WHAT IS THE MISSING ANGLE?
70º70º
?+180º70º 70º
?
WHAT IS THE MISSING ANGLE?
90º30º
?+180º30º 90º
?
WHAT IS THE MISSING ANGLE?
60º60º
?+180º60º 60º
?
WHAT IS THE MISSING ANGLE?
30º78º
?+180º
78º 30º
?
WHAT IS THE MISSING ANGLE?
40º40º
?+180º
40º 40º
?
Equilateral Triangle
All 3 Sides are equal in Length
All 3 interior angles are the same
Isosceles Triangle
Two Sides of equal Length
Two interior angles are the same
Scalene Triangle
No Sides of equal Length
All interior angles are different
Right-Angled Triangles
They have an Interior angle of 90 degrees
Right-Angled Triangles can be either Isosceles or scalene triangles
Scalene Right Angled Triangle Isosceles Right Angled Triangle
Learning Objective
Calculate angles in a triangle.
?
reflex right
acute obtuse
?
reflex right
acute obtuse
?
reflex right
acute obtuse
?
reflex right
acute obtuse
?
reflex right
acute obtuse
?
reflex right
acute obtuse
?
reflex right
acute obtuse
L.O angles quiz
?
reflex right
acute obtuse
?
reflex right
acute obtuse
?
reflex right
acute obtuse
L.O angles quiz
?
reflex right
acute obtuse
?
reflex right
acute obtuse
?
reflex right
acute obtuse
?
reflex right
acute obtuse
?
reflex right
acute obtuse
WHAT IS THE MISSING ANGLE?
60º 60º
?
WHAT IS THE MISSING ANGLE?
25º 95º
?
WHAT IS THE MISSING ANGLE?
65º 65º?
WHAT IS THE MISSING ANGLE?
74º 40º
?
WHAT IS THE MISSING ANGLE?
40º 40º
?
Learning Objective
Out of the 100 small squares Out of the 100 small squares how many are coloured?how many are coloured?
5050
So 50 in every So 50 in every 100 are 100 are
coloured.coloured.
We can call We can call thisthis
50%50%
What is this as a fraction?
Out of the 100 small squares Out of the 100 small squares how many are coloured?how many are coloured?
1010
So 10 in every So 10 in every 100 are 100 are
coloured.coloured.
We can call We can call thisthis
10%10%
What is this as a fraction?
Out of the 100 small squares Out of the 100 small squares how many are coloured?how many are coloured?
55
So 5 in every So 5 in every 100 are 100 are
coloured.coloured.
We can call We can call thisthis
5%5%
What is this as a fraction?
Out of the 100 small squares Out of the 100 small squares how many are coloured?how many are coloured?
3030
So 30 in every So 30 in every 100 are 100 are
coloured.coloured.
We can call We can call thisthis
30%30%
What is this as a fraction?
Out of the 100 small squares how many are coloured?
83
So 83 in every 100 are
coloured.
We can call this
83%
What is this as a fraction?
1)1) 2)2)
4)4)3)3)
Now try these on you own
PERCENTAGES OF NUMBERS
Sometimes we may want to Sometimes we may want to find out a percentage of a find out a percentage of a number. For example if a it number. For example if a it was 10% off all clothes in a was 10% off all clothes in a store you would want to store you would want to know how much money was know how much money was being taken off!being taken off!
PERCENTAGES OF NUMBERS
If we want to find 10% of a If we want to find 10% of a number we simply divide the number we simply divide the number by 10….number by 10….
10% of 45 = 4.510% of 45 = 4.5
PERCENTAGES OF NUMBERS
Can you find 10% of the Can you find 10% of the following numbers on your following numbers on your mini whiteboards – mini whiteboards –
3434 9595 321321 5353 78437843
PERCENTAGES OF NUMBERS
Can you find 10% of the Can you find 10% of the following prices on your mini following prices on your mini whiteboards – don’t forget whiteboards – don’t forget to write in units!to write in units!
£10.00£10.00 £3.50£3.50 £15£15£45£45
PERCENTAGES OF NUMBERS
Now that we know how to Now that we know how to find 10% of a number how find 10% of a number how can we find…can we find…20%20%40%40%25%25%
PERCENTAGES OF NUMBERS
Sometimes we might want to Sometimes we might want to find a percentage of a find a percentage of a number where we need to number where we need to know what 1% of the know what 1% of the number is. For example 3% number is. For example 3% of 20. To do this we would of 20. To do this we would divide 20 by 100 to get 1% divide 20 by 100 to get 1% and times this by 3 to find and times this by 3 to find 3%3%