1-aug-15created by mr. lafferty maths dept. enlarge & reduce shapes revise drawing triangles...

19 Apr 202319 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.

Enlarge & Reduce Shapes

Revise Drawing Triangles

Scales & Scales & DrawingDrawing

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Scales and Map Reading

Bearings


Starter QuestionsStarter Questionsw

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2. Calculate 30% of 80

(a) 9.227 (b) 19.454 (c) 117.09

1. 25% of 25.2

3. Round to 1 decimal place

4. Find the value of x 4x +2 = 122

19 Apr 202319 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww

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1.1. To be able to draw To be able to draw scaled drawing of a scaled drawing of a shape either an shape either an enlargement or enlargement or reduction.reduction.

1. We are learning to draw an enlarged or reduced drawing for various shapes.


Enlargement & Reduction


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Example : Enlarge the shape by a factor of 2.

Simply double what you have in both directions

2 boxes wide

1 b

ox d

ow

n

4 boxes wide 2 b

oxes w

ide

Factor of 2


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Example : Reduce the triangle by a factor of 4.

Simply quarter what you have in both directions

12

4

3

1

Factor of 1/4


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Example : Say whether the following is a enlargement or reduction. Find the missing by firstworking out scale factor value.

5

10 20

10Factor of

20=2

10


Now try Exercise 1Ch37 (page 146)

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(a) 6.67 (b) 5.54 (c) 7.99

1. 99.6 + 7.27

2. 40% of 160p




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1.1. Understand the steps for Understand the steps for drawing SAS, ASA and drawing SAS, ASA and SSS triangles.SSS triangles.

1. To revise drawing SAS, ASA and SSS triangles


Drawing SAS, ASA and SSS Triangles

19 Apr 2023Created by Mr. Lafferty Maths

Dept.

Drawing SAS TrianglesDrawing SAS Triangles

SAS TrianglesSAS Triangles

AngleAngle SideSideSideSide


Dept.


Toolkit required

1.1.RulerRuler

2.2.ProtractorProtractor

3.3.Pencil & PaperPencil & Paper


Dept.


Example : Draw to scale the triangle ABC with AB = 6cm and angle CAB = 30o and AC = 5cm

Step 1 Draw line AB=6cm

A B

CStep 2 Measure

angle CAB from A

Step 3 Draw the line AC = 5cm

through X. Label it C.

Step 4 Join C to B.

Check angles add to 180o

A B

C

30o

X


Dept.

Drawing ASA TrianglesDrawing ASA Triangles

ASA TrianglesASA Triangles

SideSide AngleAngleAngleAngle


Dept.


Toolkit required

1.1.RulerRuler

2.2.ProtractorProtractor



Dept.


Example : Draw to scale the triangle PQR with PQ = 8cm and angle RPQ = 30o and angle RQP

= 40o

Step 1 Draw line PQ

P Q

RStep 2 MeasureAngle RPQ from P

Step 3 Measure angle RQP from Q

Step 4 Intersection point is R


P Q

R


Dept.

Drawing SSS TrianglesDrawing SSS Triangles

SSS TrianglesSSS Triangles

SideSide SideSideSideSide


Dept.

2.2.CompassCompass


Toolkit required

1.1.RulerRuler



Dept.


Example : Draw to scale the triangle XYZ with XY = 3cm and XZ = 5cm and YZ = 4cm

Step 1 Draw line XY=3cm

X Y

Z

Step 2 Use your compass to draw part of a circle centre X radius XZ=5cmStep 3 Use your compass to draw part of a circle centre Y radius YZ=4cm

Step 4 Intersection point is labelled Z


X y

Z

Step 5 Draw in line XZ and YZ to complete triangle



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Drawing SAS, ASA and SSS Triangles



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(a) 9.227 (b) 19.454 (c) 117.094

1. 125.2 + 19.82




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1.1. To be able to :To be able to :

Bisect a line at right Bisect a line at right angles. angles.

Bisect an angle.Bisect an angle.

Draw a 60Draw a 60o o angle.angle.

1. We are learning how to bisect a line at right angles.

How to bisect and angle.

How to draw 60o angle.


Drawing Quadrilaterals & Polygons


Dept.

Bisecting a line at right anglesBisecting a line at right angles

Toolkit required

1.1.RulerRuler


2.2.CompassCompass


Dept.

We want to find the midpoint of PQ

Step 1 Set your compass to a size greater than half of PQ.

P QStep 2 Draw an arc, centre P and another arc centre Q.

Step 3 Join the 2 points A and B where the arcs intersect.

The line AB will bisect PQ, and does so at right angles.

B

BiBisecting a line at right anglessecting a line at right angles

2 cut

A


Dept.

We want to cut ∠PQR in half (Bisect it)

Step 1 With centre Q and using any radius, draw an arc, cutting PQ at M and QR at N.

Q RStep 2 With the same radius as above , draw an arc centre M and

another, centre N. Where they meet call it T.Step 3 Join QT. This line will cut ∠PQR in half.

Can you see QMTN is a rhombus ?

N

BiBisecting an anglesecting an angle

2 cut

P

M T


Dept.

Step 1 Draw a line PQ.

P Q

Step 2 With radius PQ draw an arc centre P.

Step 4 The 2 arcs intersect at R. Join P to R.

Angle RPQ is 60o

Drawing a 60Drawing a 60oo angle angle

R

Step 3 With radius PQ draw an arc centre Q.

60o



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Drawing Quadrilaterals & Polygons



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(a) 23.22734 (b) 29.45554 (c) 127.1096

1. 2.5 + 1.23 + 25.252



19 Apr 202319 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.St.

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1.1. Understand the term Understand the term scaled drawings.scaled drawings.

1. We are learning the term scaled drawing, read maps and interpret distance. 2. Interpret scaled drawing

into real-life measurements.



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

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This line measures 3cmThis line measures 3cmWhat is the distance in real-lifeWhat is the distance in real-life

Example

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1cm = 50m

This line measures 4cmThis line measures 4cmWhat is the distance in real-lifeWhat is the distance in real-life

Example1cm = 2miles


3 x 50 =

150m

4 x 2 = 8

miles


Problem

The scaled drawing has a scale of 1cm = 2.5mXT measures 4cm of the drawing and represents a steel wire support for the flag pole. What is the real-life length of the wire.

X

T1cm = 2.5m

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4 x 2.5 = 10m



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Starter QuestionsStarter Questions


(a) 12.467 (b) 93.223 (c) 21.929

1. 89.6 + 17.27 - 1.01



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19 Apr 202319 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.St.

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1. We are learning how to calculate a bearing and it apply to problems.

1. Remember the steps on how to work out a bearing.

2. Apply knowledge to problems.


Bearings

19 Apr 2023 Created by Mr. Lafferty Maths Dept.

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


The bearing from A to B is 70The bearing from A to B is 70oo..What is the bearing from B to A.What is the bearing from B to A.

Example

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Bearings

70o

North

A

B

70o70o + 180o

= 250o

North Bearing from B to A is :


The bearing from X to Y is 30The bearing from X to Y is 30oo..What is the bearing from Y to X.What is the bearing from Y to X.

Example

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Bearings

30o

North

X

Y

30o

30o+ 180o

= 210o

North

Bearing from Y to X is :



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Bearings

1-aug-15created by mr. lafferty maths dept. enlarge & reduce shapes revise drawing triangles...

Documents

lafferty maths

sss triangles slide

drawing asa triangles

drawing sas triangles

drawing asa triangles

angle angle slide

drawing sas triangles

factor of slide