Level D 4-Aug-15Created by Mr.Lafferty Math Dept Types of Angles Naming Angles Calculating Missing angles Measuring Angles Compass.

Level D

Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept

Types of Angles

Naming Angles

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Calculating Missing angles

Measuring Angles

Compass Points

Three Figure Bearings

AnglesAngles

Drawing Angles

Vertically Opposite Angles

Level D


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

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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.

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Type of AnglesType of Angles

Level D


HorizontalV

ertica

lAcute

less than 90oObtuse

Between 90o – 180oRight - Angle exactly 90o

reflex over 180o less than 360o

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Straight Line Angle exactly 180o


Level D


Now try Ch8 (page 87)

Exercise 1

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Level D


Starter QuestionsStarter Questionsw

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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



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.

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Naming AnglesNaming Angles

Level D

Apr 19, 2023Apr 19, 2023

Naming AnglesNaming Anglesw

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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


Now try Ch8 (page 88)

Exercise 2

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Naming AnglesNaming Angles

Level D


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:

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Level D


Measuring AnglesMeasuring Angles


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.

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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


Now try

Ch8 (page 90)Exercise 3

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Measuring AnglesMeasuring Angles

Level D



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

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Level D


Drawing AnglesDrawing Angles


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.

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Level D

19 Apr 2023 Created by Mr. Lafferty 19


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



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


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


Now try


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Level D



?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

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75ox

o

Level D



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.

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Find Missing AnglesFind Missing Angles

Level D


Find Missing Find Missing AngleAngle

120o 95

o

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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


Now try


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Find Missing Find Missing AngleAngle

Level D



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.

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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

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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



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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


Now try Exercise 6 Ch8 (page 95)

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Level D



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

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co

Level D

Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Deptww

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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.

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Jamie

Julie

Lewis

Frances

Daniel

Danielle

Ryan

Laura

Paul

N

Level D


Now try Exercise 8 Ch8 (page 98)

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Compass Compass PointsPoints

Level D


Starter QuestionsStarter Questionsw

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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


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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


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


Dept.

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Draw a bearing of (a) 50o (b) 230o

Drawing a Bearings

50o

N

230o

Level D


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

Level D


Now try Ex 9Ch8 (page 100)

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BearingsBearings

Level D 4-Aug-15Created by Mr.Lafferty Math Dept Types of Angles Naming Angles Calculating Missing angles Measuring Angles Compass.

Documents

level d

o slide

o type of angles

reflex angles

obtuse angle

missing angles

opposite angles

right angle