Upload
henry-walsh
View
223
Download
2
Tags:
Embed Size (px)
Citation preview
Level D
Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Types of Angles
Naming Angles
ww
w.m
ath
srevis
ion
.com
Calculating Missing angles
Measuring Angles
Compass Points
Three Figure Bearings
AnglesAngles
Drawing Angles
Vertically Opposite Angles
Level D
Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Starter QuestionsStarter Questions
Q3. Does 234 + 47 + 2 = 313 Explain your answer?
Q1. Convert to the 24 hour clock. (a) 7:25 pm (b) 6:50 am
Q2. Is an obtuse angle less than 90 deg.
Q4. Round the following to nearest hundred.
(a) 501 (b) 9 765
ww
w.m
ath
srevis
ion
.com
Level D
Apr 19, 2023Apr 19, 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 acute, To be able to identify acute, right-angle, obtuse, straight right-angle, obtuse, straight lineline
and reflex angles.and reflex angles.
1. Explain some types of Angles at level D.
ww
w.m
ath
srevis
ion
.com
Type of AnglesType of Angles
Level D
Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
HorizontalV
ertica
lAcute
less than 90oObtuse
Between 90o – 180oRight - Angle exactly 90o
reflex over 180o less than 360o
ww
w.m
ath
srevis
ion
.com
Straight Line Angle exactly 180o
Type of AnglesType of Angles
Level D
Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Now try Ch8 (page 87)
Exercise 1
ww
w.m
ath
srevis
ion
.com
Type of AnglesType of Angles
Level D
Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Starter QuestionsStarter Questionsw
ww
.math
srevis
ion
.com
Q3. Does 565 – 73 = 482 Explain your answer
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
Level D
Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. To be able to name an To be able to name an angle.angle.
1. To explain how we name angles by THREE capital letters with the angle sign. The middle letter being where the angle is.
2.2. Understand the Understand the difference between the difference between the type of angle and the type of angle and the name of an angle.name of an angle.
ww
w.m
ath
srevis
ion
.com
Naming AnglesNaming Angles
Level D
Apr 19, 2023Apr 19, 2023
Naming AnglesNaming Anglesw
ww
.math
srevis
ion
.com
A
B C
Type of angle is acute
Name of angle is ∠ CBD
Type of angle is obtuse
Name of angle is ∠ ZYX
X
YZ
MIDDLE LETTER IS ALWAYS WHERE THE ANGLE IS
ALWAYS 3 CAPITAL LETTERS
D
Type of angle is right angle
Name of angle is ∠ ABC
Level D
Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Now try Ch8 (page 88)
Exercise 2
ww
w.m
ath
srevis
ion
.com
Naming AnglesNaming Angles
Level D
Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Starter Starter QuestionsQuestions
(a) 180-33 (c) 52 x 7
Q2. What is wrong with this sentence.
Convert to 24 hrs clock
(a) 23 00 hrs (b) 14 23 hrs
Q.3 What value is of x if x - 45=70
1. Calculate:
ww
w.m
ath
srevis
ion
.com
Level D
Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Measuring AnglesMeasuring Angles
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. To be able to measure To be able to measure angle using a protractor.angle using a protractor.
1. To show how to measure angles of various type.
ww
w.m
ath
srevis
ion
.com
Level D
19 Apr 2023 12
A 180o Protractor
Outside scale from 0o to 180o going in a clockwise direction.
Inside scale from 0o to 180o going in an
anti-clockwise direction.
Level D
19 Apr 2023 13
You need to be able to measure an angle to the nearest degree. To help you do this you should always:1. Look directly down onto the cross point.
2. Always use the protractor in a horizontal manner as shown below.
Level D
19 Apr 2023 14
1
2
Measuring Angles with a
180o Protractor
0 on the outside so use outside
scale
0 on the inside so use inside scale
67o
50o
Level D
19 Apr 2023 15
3
4
Measuring Angles with a
180o Protractor
0 on the outside so use outside
scale
0 on the inside so use inside scale
135o
120o
Level D
Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Now try
Ch8 (page 90)Exercise 3
ww
w.m
ath
srevis
ion
.com
Measuring AnglesMeasuring Angles
Level D
Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Starter Starter QuestionsQuestions
1. Calculate:
(a) 180-33 (c) 52 x 7
Q2. Convert to 12 hrs clock
(a) 23 00 hrs (b) 14 23 hrs
Q.3 What value is of x if x - 45=70
ww
w.m
ath
srevis
ion
.com
Level D
Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Drawing AnglesDrawing Angles
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. To be able to draw an To be able to draw an angle using a ruler and angle using a ruler and protractor.protractor.
1. To show how to daarw angles of various type.
ww
w.m
ath
srevis
ion
.com
Level D
19 Apr 2023 Created by Mr. Lafferty 19
Drawing AnglesDrawing Angles
Example : Draw an angle BAC of 300
Step 1 Draw line AC=6cm
A C
BStep 2 Measure an angle of 30o
and put an X beside it.Step 3 Draw the line
through X. Label it B.
Step 4 Put in the angle valueand name the angle.
X
30o
BAC = 30o
Level D
19 Apr 2023 Created by Mr. Lafferty 20
Drawing AnglesDrawing Angles
Example : Draw an angle STU of 1100
Step 1 Draw line TU=6cm
T U
S
Step 2 Measure an angle of 110o
and put an X beside it.Step 3 Draw the line
through X. Label it S.
Step 4 Put in the angle valueand name the angle.
110o
STU = 110o
X
Level D
19 Apr 2023 Created by Mr. Lafferty 21
Drawing TrianglesDrawing Triangles
Example : Draw to scale the triangle PQR with PQ = 8cm and angle RPQ = 30o and RQP = 40o
Step 1 Draw line PQ 8cm
P Q
RStep 2 MeasureAngle RPQ from P 30o
Step 3 Measure angle RQP from Q 40o
Step 4 Where lines cross is point R
P Q
R
30o 40o
Level D
Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Now try
Ch8 (page 92)Exercise 4
ww
w.m
ath
srevis
ion
.com
Drawing AnglesDrawing Angles
Level D
Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Starter Starter QuestionsQuestions
?o o
1. Solve the equation x- 3=18
2. Calculate 25.4 + 32.5
3. Does x = 15 Explain
4. Change 790cm into m
ww
w.m
ath
srevis
ion
.com
75ox
o
Level D
Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. To know 360To know 360oo in a circle. in a circle.1. To calculate missing angle give all other angles. 2.2. Find the missing angle Find the missing angle
in a right angle, straight in a right angle, straight line and vertical line and vertical opposite angle.opposite angle.
ww
w.m
ath
srevis
ion
.com
Find Missing AnglesFind Missing Angles
Level D
Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Find Missing Find Missing AngleAngle
120o 95
o
ww
w.m
ath
srevis
ion
.com
Angles round a pointalways add up to 360
o
65o
Two angles making astraight line add to 180
o
(Supplementary angles)
115o
145o
35o
Two angles making aright angle add to 90
o
(Complementary angles)
55o
Level D
Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Now try
Ch8 (page 93)Exercise 5
ww
w.m
ath
srevis
ion
.com
Find Missing Find Missing AngleAngle
Level D
Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Starter Starter QuestionsQuestions
16 28xQ1. Find the value of x
Q2. Find two numbers that multiply to give 6and add to give 5.
Q3. Does 240 ÷ 10 = 24 Explain your answer.
ww
w.m
ath
srevis
ion
.com
Q4. I divide a cake in 6 pieces and eat 1 of them.What fraction have I eaten.
Level D
Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Deptww
w.m
ath
srevis
ion
.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. To understand the term To understand the term vertically opposite.vertically opposite.
1. To explain the property of vertically opposite angles.
2. To be able to use property to solve problems.
Vertically Opposite
Vertically Opposite Vertically Opposite AnglesAngles
Level D
Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Vertically Opposite Vertically Opposite AnglesAngles
ww
w.m
ath
srevis
ion
.com
angles opposite each otherat a cross are equal.
34o 34
o
146o
146o
70o 70
o110o
110o
142o142
o38o
38o
131o
49o131o
49o
Level D
Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Now try Exercise 6 Ch8 (page 95)
ww
w.m
ath
srevis
ion
.com
Vertically Opposite Vertically Opposite AnglesAngles
Level D
Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Starter Starter QuestionsQuestions
Q1. Does 182 – 75 = 103 Explain.
Q2. Find two numbers that multiply to give 48and divide to give 3.
Q3. Find the missing angles 119o
ao bo
ww
w.m
ath
srevis
ion
.com
co
Level D
Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Deptww
w.m
ath
srevis
ion
.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. To understand the To understand the directions on a directions on a compass.compass.
1. To explain the basic points on a compass in terms of direction and degrees.
2. To be able to use compass points and degrees to solve problems.
Compass Compass PointsPoints
Level D
19 Apr 2023Created by Mr. Lafferty Maths
Dept.
Compass Points
N
S
EW 090o
360/000o
270o
180o
SE
Half way between South and East
SW
Half way between South and West
Half way between North
and WestNW NE
Half way between North and East
Level D
Compass PointsCompass PointsWho is North of DanielWho is East of JamieWho is South West of Ryan
Who is North East of Lewis
If Lewis walks to Jamie then to Ryan and then
back to where he started. Write down all the directions he took.
If Laura walks to Julie then to Danielle and then back to where she started. Write
down all the directions she took.
If Daniel is facing North and turns
clockwise to face Laura. How many degrees is this.
If Daniel is facing Frances and turns clockwise to face
Danielle. How many degrees is this.
If Danielle is facing Paul and turns anti-
clockwise to face Daniel. How many
degrees is this.
19 Apr 202319 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
ww
w.m
ath
srevis
ion.c
om
Jamie
Julie
Lewis
Frances
Daniel
Danielle
Ryan
Laura
Paul
N
Level D
Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Now try Exercise 8 Ch8 (page 98)
ww
w.m
ath
srevis
ion
.com
Compass Compass PointsPoints
Level D
19 Apr 202319 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
ww
.math
srevis
ion.c
om
1. 99.6 + 7.27
3. The diff erence in time between
0910 hrs and 1135 hrs is 2 hrs and 25 mins
Show how yo
o2. I f I am f acing NW and turn 180
clockwise. Which direction am I f acing now.
u work this out.
Level D
19 Apr 202319 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
ww
w.m
ath
srevis
ion.c
om
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1. To explain what a bearing is and how to measure and draw a bearing.
1. Understand what bearing is.
2. Measure and draw a bearing.
BearingsBearings
Level D1. Measured from North.
2. In a clockwise direction.3. Written as 3 figures.
N
S
EW
N
S
EW
N
S
EW
060o
145o230o
315o
60o
145o
230o 315o
Bearings
N
S
EW 090o
360/000o
270o
180o
Level D
Bearings
N
S
EW 090o
360/000o
270o
180o
A 360o protractor is
used to measure bearings.
020o
080o
110o
SE
135o
160o
210o
SW
225o
250o
290o
NW
315o
350o
Use your protractor to measure the bearing of each point from the centre of the circle. (Worksheet 1)
NE
045o
Worksheet 1
Level D
19 Apr 2023Created by Mr. Lafferty Maths
Dept.
360/000o
090o
180o
270oW E
N
S
Air Traffic ControllerControl
Tower
Estimate the bearing of
each aircraft from the
centre of the radar
screen.
030o
075o
045o
200o
135o
330o
225o
290o
110o250o
315o
170o
Level D
N
19 Apr 2023Created by Mr. Lafferty Maths
Dept.
ww
w.m
ath
srevis
ion.c
om
Draw a bearing of (a) 50o (b) 230o
Drawing a Bearings
50o
N
230o
Level D
19 Apr 2023Created by Mr. Lafferty Maths
Dept.
Compass Points
N
S
EW 090o
360/000o
270o
180o
SE
135o
SW
225o
NW
315o
NE
045o
Worksheet 1
Level D
My Estimated Bearing
True Bearin
gError
1
2
3
4
5
6
7
8
9
10
11
12
Total Error
Average Error
Worksheet 2 (Radar)
My Estimated Bearing
True Bearin
gError
1
2
3
4
5
6
7
8
9
10
11
12
Total Error
Average Error