18-dec-14created by mr.lafferty math dept revising basic angles naming angles calculating missing...
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Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Revising Basic Angles
Naming Angles
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Calculating Missing angles
Angles in a Triangle
Corresponding Angles
Alternate Angles
AnglesAnglesMTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Starter QuestionsStarter Questions
Q3. Calculate 2.34 + 4.7 + 0.12
Q1. Convert to the 24 hour clock. (a) 7:25 pm (b) 6:50 am
Q2. Write down the type of angle that is less than 90 deg.
Q4. Round the following to nearest 1000.
(a) 12,501 (b) 369,765
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Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. To be able to identify To be able to identify acute, right-angle, acute, right-angle, obtuse, straight line and obtuse, straight line and reflex angles.reflex angles.
1. To revise Type of Angles from Level 2.
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Type of AnglesType of AnglesMTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Acute less than 90o
Obtuse Between 90o – 180o
Right Angle exactly 90o
reflex over 180o less than 360o
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Straight Line Angle exactly 180o
Type of AnglesType of AnglesMTH 3-17a
HorizontalV
ertica
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Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Now try Ch12 (page 146)
Exercise 1
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Type of AnglesType of AnglesMTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Starter QuestionsStarter Questionsw
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Q3. Calculate 5.65 – 1.3
Q1. Convert to the 12 hour clock. (a) 17:15 (b) 05:40
Q2. Write down 2 numbers that add to give 8 andmultiply to give 15.
Q4. Round the following to nearest 100.
(a) 13,551 (b) 369,449
MTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. Remember how to Remember how to name an angle.name an angle.
1. We are learning how we name angles by THREE capital letters with the angle sign.
2.2. Understand the Understand the difference between difference between the type of angle and the type of angle and the name of an the name of an angle.angle.
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Naming AnglesNaming AnglesMTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Naming AnglesNaming Anglesw
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A
B C
Type of angle is acute
Name of angle is ∠ ABC
Type of angle is obtuse
Name of angle is ∠ ZYX
X
YZ
MIDDLE LETTER IS ALWAYS WHERE THE ANGLE IS
ALWAYS 3 CAPITAL LETTERS
MTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Now try Ch12 (page 147)
Exercise 2
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Naming AnglesNaming AnglesMTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Starter Starter QuestionsQuestions
(a) - 6 - 7 (b) -10 + (-3) (c) - 2 - 12
Q2. Convert to 12 hrs clock
(a) 23 00 hrs (b) 14 23 hrs
Q.3 Solve 5x - 45=70
1. Calculate:
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MTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. Remember 360Remember 360oo in a circle. in a circle.1. We are learning to
calculate a missing angle.
2.2. Find missing angle given Find missing angle given all other angles.all other angles.
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Find Missing AnglesFind Missing AnglesMTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
120o 95
o
Find Missing Find Missing AngleAngle
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Angles round a pointalways add up to 360
o
65o
Two angles making astraight line add up to 180
o
(Supplementary angles)
Angles opposite each otherat a cross are equal.
34o 34
o
115o
146o
146o 145o
35o
Two angles making aright angle add up to 90
o
(Complementary angles)
55o
MTH 3-17a
Demo
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Now try Ch12 (page 149)
Exercise 3
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Find Missing Find Missing AngleAngle
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Starter QuestionsStarter Questions
1. Solve the equation 5x- 3=18 (decimal value)
2. Calculate (- 13)+(- 1)- 15
3. Calculate x:
4. Change 790cm into m
5. What is the coordinate C(- 8,- 4) reflected in the x- axis?
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75o
xo
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Sum of Angles in a Sum of Angles in a TriangleTriangle
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. Remember all angles in Remember all angles in a triangle add to 180a triangle add to 180oo
..1. We are learning that all
the angles in a triangle sum to 180
o.
2.2. Apply knowledge to Apply knowledge to solve problems.solve problems.
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MTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
To determine the
angle sum of any Triangle
Cut off corners
Cut off corners
Cut off corners
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MTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Sum of angles in ANY Triangle
All angles in a triangle ALWAYS
added up to180o
180o
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MTH 3-17a
Demo
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Sum of Angles in a Sum of Angles in a TriangleTriangle
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32o
50o
38o
87o
xo
xo x
o
xo
Remember all the angles add up to 180o
MTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Now try Ch12 (page 151)
Exercise 4 starter at Q3
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Sum of Angles in a Sum of Angles in a TriangleTriangle
MTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Starter Starter QuestionsQuestions
2 16 28 xQ1. Solve the equation below
Q2. Find two numbers that multiply to give 18and subtract to give 3.
Q3. Find the average and range of the numbers below
Q4. Find2,8,8,10
60% of £ 240
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Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Deptww
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1.1. To understand the term To understand the term corresponding angles.corresponding angles.
1 We are learning the term corresponding angles.
2. To be able to apply property to solve problems.
AnglesAnglesCorresponding AnglesMTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Look for
F shapes
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AnglesAnglesAlternate Angles
= equal angles
MTH 3-17a
Demo
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Deptww
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AnglesAnglesCorresponding Angles
Which angles are equal?
MTH 3-17a
DEMO
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Deptww
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AnglesAnglesCorresponding Angles
Which angles are equal?
MTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Deptww
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AnglesAnglesCorresponding Angles
Which angles are equal to the shaded angle?
MTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Deptww
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AnglesAngles
Which angles are equal to
the shaded angle?
MTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
look for
shapes
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AnglesAnglesCorresponding AnglesMTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
120
x120
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AnglesAngles
What is the value of letter x?
Corresponding AnglesMTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
100
a100
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AnglesAngles
What is the value of letter a?
Corresponding AnglesMTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
48
b48
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AnglesAngles
What is the value of letter b?
Corresponding AnglesMTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
110
c110
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AnglesAngles
What is the value of letter c?
Corresponding AnglesMTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
70
a
70
b110
What are the values of letters a and b?
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AnglesAnglesCorresponding AnglesMTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
115
65115 65 What are the values of
the missing angles?
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AnglesAnglesCorresponding AnglesMTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
57
123
57
123
What are the values of the missing
angles?
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AnglesAnglesCorresponding AnglesMTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
What are the values of the missing
angles?
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AnglesAnglesCorresponding Angles
115o 140o
65o
65o
115o
40o
40o
140o
75o
MTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Now try Exercise 5 Ch12 (page 154)
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AnglesAnglesCorresponding AnglesMTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Starter Starter QuestionsQuestions
4 7 9 x
Q1. Solve the equation below
Q2. Find two numbers that multiply to give 48and divide to give 3.
Q3. Find missing angles119o
ao
bo
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MTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Deptww
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1. To understand the term alternate angles.
1. We are learning the term alternate angles.
2. To be able to apply property to solve problems.
AnglesAnglesAlternate AnglesMTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Look for
- Z shapes
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AnglesAnglesAlternate Angles
= equal angles
MTH 3-17a
Demo
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
35
a35
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AnglesAnglesAlternate Angles
Find the value of a ?
MTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
b
43
43
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AnglesAnglesAlternate Angles
Find the value of b ?
MTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
33
33c
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AnglesAnglesAlternate Angles
Find the value of c ?
MTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
123
d123
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AnglesAnglesAlternate Angles
Find the value of d ?
MTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
50
ab130 50
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AnglesAnglesAlternate Angles
Find the value a and b ?
MTH 3-17a
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135
c45
d45
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AnglesAnglesAlternate Angles
Find the value of c and d ?
MTH 3-17a
120
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60
ab
c120
60
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AnglesAnglesAlternate Angles
Find the value a, b and c ?
MTH 3-17a
Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Now try Exercise 6 Ch12 (page 157)
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AnglesAnglesAlternate AnglesMTH 3-17a