25-aug-14created by mr. lafferty maths dept. bearings working with scales scaled drawings scaled...

11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.

Bearings

Working with Scales

Scaled DrawingsScaled Drawingsw

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Making Simple Scale Drawings

Harder Scale Drawings

Compass Points

MTH 2-17c MTH 2-17dMTH 3-17b


Starter QuestionsStarter Questionsw

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2. Calculate 70% of 84

(a) 2.67 (b) 3.23 (c) 2.99

1. 99.6 + 7.27

3. 25% of 160p

4. Round to 1 decimal place

5. Find the value of x 4x +25 = 69


11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww

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1.1. Understand the term Understand the term scale drawings.scale drawings.

1. We are learning the term scale drawing.

2. Interpret scale drawing into real-life measurements.

Scale Drawings & Scale Drawings & BearingsBearings



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A scale of A scale of

1 cm = 2m1 cm = 2m

This simply means for every 1cm measured on adrawing this represents 2m in real-life.

Definition

S1 Level E

ScalesScalesMTH 2-17c MTH 2-17dMTH 3-17b


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the scale must be known.

ScalesScales

4 cm

For this scale model1 cm represents 1m

This means for every 1 metre of the actual car, 1cm is drawn on the map.



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6cm

The scale of this drawing is 1cm = 5m

What is the actual length of the tree ?

ScalesScales

6 x 5 =30m



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5cm

The scale of this drawing is 1cm = 90cm

What is the actual length of the bus in metres ?

ScalesScales

5 x 90 = 450cm

4.5m



Now try Ex 1Ch17 (page 194)

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ScalesScalesMTH 2-17c MTH 2-17dMTH 3-17b



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2. Calculate 75% of 240

(a) 100ml (b) 500ml (c) 2500ml

1. Write in litres

3. I f the area and perimeter of the shape.

4. Find the mean of 6, 9, 15, 10, 5

10cm

14cm7cm



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1 We are learning to draw a scale drawing given suitable information.

1. Interpret information in a problem and create a suitable scale drawing.




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Problem

A garden is rectangular in shape and has length 12m and breadth 8m. Make rough sketch of the garden.

12m

8m

Scaled DrawingsScaled Drawings

Draw an accurate scaled drawing of the garden

Use a scale of 1cm represents 2m



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12m

8m



12m

8m

1cm represents 2m



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Problem

A road junction is triangular in shape. A rough sketch is given below.

20m


Draw an accurate scaled drawing of the garden


12m




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20m

12m

1cm represents 2m

20m12m

Find the real life length of the 3rd side

2 x 11.6 = 23.2m



Now try Exercise 2Ch17 (page 197)

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2.

(a) 15.673 (b) 13.55 (c) 23.49

1. 85.7 - 7.8

Calculate 60

3. 75% of 360p

4. Round to 1 decimal place

5. Find the value of x 5x +35 = 90

% of 120



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1. We are learning to solve real-life problems using scale drawings.

1. Interpret information in a problem to create a suitable scale drawing.

2. Apply a scale drawing methods to solve a given problem.




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The sketch shows a flag-pole YT supported by a wire. The distance from X to Y is 6m and angle TXY = 55

o.

55oX

T

Y

6m

Make a scale drawing and workOut the real height of the pole.

Use a scale of 1cm = 2m



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Scale Drawings & Bearings55

oX

T

Y

6m

SolutionStep 1: Draw line XY=3cm

X Y

Using a scale of 1cm = 2mUsing a scale of 1cm = 2m

Step 2: Draw a line straight up from Y.Step 3: Measure angle 55

o

from X.Step 4: Draw line from X to vertical line and mark T at crossover point.

T

Step 5: Measure length YT.Step 6: Multiply length YT. by scale factor.

4.3cm

4.3 x 2 = 8.6mFlag pole is 8.6m high


Now try Exercise 3Ch17 (page 199)

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Harder Scale DrawingsHarder Scale DrawingsMTH 2-17c MTH 2-17dMTH 3-17b



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1. 13 + (- 20)

3. 5% of £120

4. A square has length 3m.

Find the perimeter and area.

o2. I f I am f acing SE and turn 90

clockwise. Which direction am I f acing now.



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1. We are learning how to write down directions using a map.

2. We are learning how to construct a scale drawing using bearings.

1. Be able to make sense of a map.

Directions & Scale Directions & Scale DrawingsDrawings

2. Write down accurate directions from a map.

3. Construct and interpret an accurate scale drawing.


11 Apr 2023 Created 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


Compass PointsCompass PointsIf Anne walks to Julie then to Amy and then

back to where she started. Write down all

the directions she took.

If Daniel is facing North and turns

clockwise to face Anne. How many degrees is this.

If Daniel is facing Frances and turns

clockwise to face Amy. How many degrees is

this.

If Amy is facing Paul and turns anti-

clockwise to face Daniel. How many

degrees is this.


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Julie

Gary

Frances

Daniel

Amy

Barry

Anne

Paul

N

Who is North of DanielWho is East of JohnWho is South West of Barry

Who is North East of Gary

If Gary walks to John then to Barry and then

back to where he started. Write down all the directions he took.


Map DirectionsMap DirectionsI leave the zoo to go back to my car which is in the

town car park. Write down the directions I should

take.

There’s a fire at the library. Right down the

directions the fire engine should take.

I come out of the swimming pool and turn

right then left. I go into the building second on my the

right. Name the building.

After going to the park I want to go to the cinema.

Tea Lane is closed. Write down the directions

I should take.

I come out of school and go to the Park.

Write down the directions I must take.

I come out of the charity shop and need to catch a bus. Write

down the directions to the bus station.


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N


Now try Ex 4Ch17 do orally (page

202)

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Compass pointsMTH 2-17c MTH 2-17dMTH 3-17b



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1. - 3 + 14

3. 15% of £120

4. A rectangle has length 4m breadth 5m

Find the perimeter and area.

o2. I f I am f acing SE and turn 90

clockwise. Which direction am I f acing now.



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1 We are learning how to work out a bearing..

1. Calculate a bearing.

2. Remember to give a bearing in the correct format (three figure reference).




1. 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


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


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


360/000o

090o

180o

270oW E

N

S

Air Traffic ControllerControl

Tower

1

2

12

10 9

8

411

7

6

53

040o

250o

280o

120o

195o

010o

325o

155o

235o

310o

060o

Worksheet 2

Estimate the bearing of

each aircraft from the

centre of the radar

screen.

ACE

Controller

contest


Bearings

Measuring the bearing of one point from another.

1. Draw a straight line between both points.2. Draw a North line at P.

3. Measure angle between.

N

P

Q

To Find the bearing of Q from P.

118o

Worksheet 3


Bearings

Measuring the bearing of one point from another.

1. Draw a straight line between both points.2. Draw a North line at Q.

3. Measure angle between.

N

P

Q

To Find the bearing of P from Q.

298o

Worksheet 3


Bearings: Fixing Position

Trainee pilots have to to learn to be cope when the unexpected happens. If their navigation equipment fails they can quickly find their position by calling controllers at two different airfields for a bearing. The two bearings will tell the pilot where he is. The initial call on the controllers radio frequency will trigger a line on the radar screen showing the bearing of the calling aircraft.

Airfield (A)283.2 MHZ UHF

Airfield (B)

306.7 MHZ UHFThankyou

170o

255o


Now try Ex 5Ch17 (page 203)

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BearingsMTH 2-17c MTH 2-17dMTH 3-17b


Bearings

N

S

EW 090o

000/360o

270o

180o

Worksheet 1


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

25-aug-14created by mr. lafferty maths dept. bearings working with scales scaled drawings scaled...

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