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MTH 3-17a
18 Apr 202318 Apr 2023 Created by Mr. LaffertyCreated by Mr. Lafferty
Revision of Level E
Interior / Exterior Angles
Angle PropertiesAngle Propertiesw
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Angles in Time
MTH 3-17a
18 Apr 202318 Apr 2023 Created by Mr. LaffertyCreated by Mr. Lafferty
Starter Starter QuestionsQuestions
1. Calculate the volume of the following shapes.
Q2. Find 3.5% of £ 200.
Q.3 Calculate
(a) - 6 - (7 - 8) (b) (-10) x (-3) (c) (-2) x (-12) 4
5 cm
3 cm
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10 cm
3 cm
MTH 3-17a
18 Apr 202318 Apr 2023 Created by Mr. LaffertyCreated by Mr. Lafferty
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. Remember basic Remember basic properties for angles.properties for angles.
1. We are reviewing angle properties.
2.2. Apply properties to Apply properties to solve angle problems..solve angle problems..
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Angle PropertiesAngle PropertiesRevision of Level E
18 Apr 202318 Apr 2023 Created by Mr. LaffertyCreated by Mr. Lafferty
120o 95
o
Angle Angle PropertiesProperties
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Angles round a pointAdd up to 360
o
115o
Two angles making astraight line add to 180
o
angles opposite each otherat a cross are equal.
34o 34
o
3 angles in a triangle ALWAYSadd up to 180
o.
50o
40o
65o
90o146o
146o
145o
Revision of Level EMTH 3-17a
18 Apr 202318 Apr 2023 Created by Mr. LaffertyCreated by Mr. Lafferty
Angle Angle PropertiesProperties
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Two angles in a isoscelesAre equal
ALL angles in an equilateral triangle are 60
o
d = 115oa
o
co
bo
go
fo
ho
eo
is corresponding to d and must be 115
o
is opposite to d and must be 115o
is must be 65o (straight line)
is alternate to c and must also be 65o
hbce
Revision of Level EMTH 3-17a
18 Apr 202318 Apr 2023 Created by Mr. LaffertyCreated by Mr. Lafferty
Now try Exercise 1Ch3 (page 21)
Copy out shapes
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Angle Angle PropertiesProperties
Revision of Level E
MTH 3-17a
18 Apr 202318 Apr 2023 Created by Mr. LaffertyCreated by Mr. Lafferty
Starter Starter QuestionsQuestions
Q2. Find 5.5% of £ 300.
Q.3 Calculate
(a) - 4 - (17 - 6) (b) (-8) x (-8) (c) (-3) x (-20) 4
1. Calculate the volume of the following shapes.
7 cm
5 cm
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20 cm
3 cm
MTH 3-17a
18 Apr 202318 Apr 2023 Created by Mr. LaffertyCreated by Mr. Lafferty
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. To know the term To know the term polygon.polygon.
1. We are exploring interior and exterior angles of a polygon .
2.2. Understand steps for Understand steps for calculating the interior calculating the interior and exterior angle of a and exterior angle of a polygon.polygon.
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PolygonsPolygonsInterior and Exterior Angles
MTH 3-17a
18 Apr 202318 Apr 2023 Created by Mr. LaffertyCreated by Mr. Laffertyww
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PolygonsPolygons
A polygon is a “many-sided closed straight-lined figure”
This 5-sided (polygon) is called a PENTAGON
Irregular Pentagon
Interior and Exterior Angles
MTH 3-17a
18 Apr 202318 Apr 2023 Created by Mr. LaffertyCreated by Mr. Laffertyww
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PolygonsPolygons
A polygon is a “many-sided closed straight-lined figure”
Pentagon Hexagon Octagon
If all the sides and angles are the same it is calledREGULAR POLYGON. We will only be dealing withregular polygons in this section.
Interior and Exterior Angles
MTH 3-17a
18 Apr 202318 Apr 2023 Created by Mr. LaffertyCreated by Mr. Laffertyww
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PolygonsPolygons
Some useful points about regular polygons :• All the triangles around the centre are isosceles.
Pentagon
72o
Hexagon
60o
Octagon
45o
Interior AnglesInterior Angle
• Angle at the centre is 360o• To find one angle at the centre, take 360o and
divide it by how many triangles you have
Interior and Exterior Angles
18 Apr 2023 Created by Mr. Lafferty
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Level F - Polygons Worksheet Ex2
Decagon (10 sided)
Heptagon (7 sided)Hexagon (6 sided)Pentagon (5 sided)
Octagon (8 sided) Nonagon (9 sided)
MTH 3-17a
18 Apr 202318 Apr 2023 Created by Mr. LaffertyCreated by Mr. Lafferty
Now try Exercise 2Ch3 (page 23) Q1-Q6Use worksheet Provide
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PolygonsPolygonsInterior and Exterior Angles
MTH 3-17a
MTH 3-17a
18 Apr 202318 Apr 2023 Created by Mr. LaffertyCreated by Mr. Laffertyww
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PolygonsPolygons
What you should have found :Polygon sides 4 5 6 7 8 9 10 11 12
Sum of Angles 360 540 720 900 1080 1260 1440 1620 1800
Size of I nterior Angle 90 108 120 129 135 140 144 149 150
Interior angle = 180 – (360÷n)
n = Number of sides
eg . A hexagonal has interior angle is:
Interior angle = 180 – (360÷6) = 120o
Interior and Exterior Angles
MTH 3-17a
18 Apr 202318 Apr 2023 Created by Mr. LaffertyCreated by Mr. Laffertyww
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PolygonsPolygons
eg . For the pentagon above :
Exterior angle = 180 – interior angle
Pentagon
This is called the“Exterior angle”
B
A
E
CD
O
Q
Exterior angle = 180 – 108 = 72o
Interior and Exterior Angles
18 Apr 202318 Apr 2023 Created by Mr. LaffertyCreated by Mr. Lafferty
Now try Exercise 2Ch3 (page 23) Q8-Q9Use worksheet Provide
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PolygonsPolygonsInterior and Exterior Angles
MTH 3-17a
MTH 3-17a
18 Apr 202318 Apr 2023 Created by Mr. LaffertyCreated by Mr. Lafferty
Starter Starter QuestionsQuestions
Q2. Find 7.5% of £ 600.
Q.3 Calculate
(a) - 6 +(23- 5) (b) (-15) x (-10) (c) (-32) x (-4) 4
1. Calculate the volume of the following shapes.
10 cm
3 cm
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7 cm
4 cm
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