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To complete balancing calculations.
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7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n = 65 – n
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Learning Objective To work out perimeters of shapes
Joanne Smithies Our Lady & St. Gerards RCP
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First we need to find the length of each side by
counting the squares. 8 cm The distance around the outside of a shape is called the perimeter. 6 cm 6 cm 8 cm The perimeter of the shape is = 28cm.
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What is the perimeter of each of these shapes?
18cm 18cm What is the perimeter of each of these shapes? 22cm 18cm 26cm
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Now find the perimeter of these shapes. They are not drawn to scale.
4cm 3cm 3cm 5cm 7cm 3cm Perimeter = 18cm Perimeter = 22cm Perimeter = 28cm
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CHALLENGE: Can you find the perimeter for this shape?
5cm 3cm 3cm 3cm 7cm 3cm 3cm 3cm 5cm
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To order Fractions
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Learning Objective Use a protractor to draw and measure acute and obtuse angles to the nearest degree.
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What are the properties of a protractor??
Here is a standard protractor like you use in the classroom.
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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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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.
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We need to remember..... It doesn’t matter which way round the
angle is, you ALWAYS need to line the upside down ‘T’ to the vertex of the angle.
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Now you are ready. Read from the 0°, and follow the inner set of numbers.
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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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What does it measure? This angle measures 35°.
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What does it measure? This angle measures......
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What does it measure? This angle measures......
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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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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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Baby Acute Angle This 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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Reflex Angle This 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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So, now you’ve met us, let’s see how well you know us...
Who am I? I always measure less than 90° I’m the smallest angle I’m very cute!
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I’m....
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Who am I? I’m always outside I’m the biggest angle
I can measure between 180° and 360°
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I’m... Reflex Angle
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Who am I? I always measure between 90° and 180 ° I’m always inside
I’m bigger than Right and Acute
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I’m...
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Who’s left?
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YOUR TASK! Draw an angle Estimate it’s size in degrees Measure
Write what type of angle it is
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To order Fractions, Decimals and Percentages.
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Measure and calculate angles at a point.
Learning Objective Measure and calculate angles at a point.
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How many right angles in a circle?
HOW MANY DEGREES IN A CIRCLE? HOW MANY DEGREES IN A STRAIGHT LINE? How many right angles in a circle? 90°
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WHAT ARE THESE ANGLES? A 120 °
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Calculate the missing reflex angle
313° 47°
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CALCULATE THE MISSING STRAIGHT LINE ANGLE
111° 69°
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Calculate the missing reflex angle
234° 126°
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CALCULATE THE MISSING STRAIGHT LINE ANGLE
35° 103° 42°
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Calculate angles in a triangle.
Learning Objective Calculate angles in a triangle.
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The sum of all the angles equals 180º degrees. 60º 60º 60º 60º 180º
Property of triangles The sum of all the angles equals 180º degrees. 60º 60º 60º 60º + 180º 60º 60º
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What is the missing angle?
70º 70º ? ? + 180º 70º 70º
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What is the missing angle?
90º 30º ? ? + 30º 90º 180º
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What is the missing angle?
60º 60º ? ? + 180º 60º 60º
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What is the missing angle?
30º ? 78º ? + 78º 30º 180º
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What is the missing angle?
40º ? 40º ? + 40º 40º 180º
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Equilateral Triangle All 3 Sides are equal in Length
All 3 interior angles are the same
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Isosceles Triangle Two Sides of equal Length
Two interior angles are the same
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Scalene Triangle No Sides of equal Length
All interior angles are different
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Right-Angled Triangles
Right-Angled Triangles can be either Isosceles or scalene triangles They have an Interior angle of degrees Scalene Right Angled Triangle Isosceles Right Angled Triangle
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Calculate angles in a triangle.
Learning Objective Calculate angles in a triangle.
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? obtuse acute reflex right
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? obtuse acute reflex right
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? obtuse acute reflex right
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? obtuse acute reflex right
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? obtuse acute reflex right
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? obtuse acute reflex right
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? obtuse acute reflex right
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L.O angles quiz ? obtuse acute reflex right
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? obtuse acute reflex right
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? obtuse acute reflex right
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L.O angles quiz ? obtuse acute reflex right
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? obtuse acute reflex right
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? obtuse acute reflex right
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? obtuse acute reflex right
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? obtuse acute reflex right
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What is the missing angle?
60º 60º
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What is the missing angle?
25º 95º
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What is the missing angle?
65º 65º
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What is the missing angle?
74º 40º
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What is the missing angle?
40º 40º
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Learning Objective Find percentages of whole numbers
Express simple Fractions as percentages.
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What is this as a fraction?
Out of the 100 small squares how many are coloured? 50 So 50 in every 100 are coloured. We can call this 50% What is this as a fraction?
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What is this as a fraction?
Out of the 100 small squares how many are coloured? 10 So 10 in every 100 are coloured. We can call this 10% What is this as a fraction?
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What is this as a fraction?
Out of the 100 small squares how many are coloured? 5 So 5 in every 100 are coloured. We can call this 5% What is this as a fraction?
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What is this as a fraction?
Out of the 100 small squares how many are coloured? 30 So 30 in every 100 are coloured. We can call this 30% What is this as a fraction?
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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?
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Now try these on you own 1) 2) 3) 4)
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Percentages of numbers
Sometimes we may want to find out a percentage of a number. For example if a it was 10% off all clothes in a store you would want to know how much money was being taken off!
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Percentages of numbers
If we want to find 10% of a number we simply divide the number by 10…. 10% of 45 = 4.5
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Percentages of numbers
Can you find 10% of the following numbers on your mini whiteboards –
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Percentages of numbers
Can you find 10% of the following prices on your mini whiteboards – don’t forget to write in units! £ £3.50 £15 £45
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Percentages of numbers
Now that we know how to find 10% of a number how can we find… 20% 40% 25%
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Percentages of numbers
Sometimes we might want to find a percentage of a number where we need to know what 1% of the number is. For example 3% of 20. To do this we would divide 20 by 100 to get 1% and times this by 3 to find 3%
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