Enlarge & Reduce Shapes Revise Drawing Triangles Scales & Drawing Scales and Map Reading Bearings.
Post on 02-Jan-2016
217 Views
Preview:
Transcript
Enlarge & Reduce Shapes
Revise Drawing Triangles
Scales & Scales & DrawingDrawing
Scales and Map Reading
Bearings
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
ww
.math
srevis
ion
.com
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
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
w.m
ath
srevis
ion
.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
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. To draw an enlarged or reduced drawing for various shapes.
Scales & Scales & DrawingDrawing
Enlargement & Reduction
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
w.m
ath
srevis
ion
.com
Scales & Scales & DrawingDrawing
Enlargement & Reduction
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
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
w.m
ath
srevis
ion
.com
Scales & Scales & DrawingDrawing
Enlargement & Reduction
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
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
w.m
ath
srevis
ion
.com
Scales & Scales & DrawingDrawing
Enlargement & Reduction
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
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
ww
.math
srevis
ion
.com
(a) 6.67 (b) 5.54 (c) 7.99
1. 99.6 + 7.27
2. 40% of 160p
3. Round to 1 decimal place
4. Find the value of x 5x +25 = 105
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
w.m
ath
srevis
ion
.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. To know the steps for To know the steps for drawing SAS, ASA and drawing SAS, ASA and SSS triangles.SSS triangles.
1. To revise drawing SAS, ASA and SSS triangles
Scales & Scales & DrawingDrawing
Drawing SAS, ASA and SSS Triangles
20 Apr 2023Created by Mr. Lafferty Maths
Dept.
Drawing SAS TrianglesDrawing SAS Triangles
SAS TrianglesSAS Triangles
AngleAngle SideSideSideSide
20 Apr 2023Created by Mr. Lafferty Maths
Dept.
Drawing SAS TrianglesDrawing SAS Triangles
Toolkit required
1.1.RulerRuler
2.2.ProtractorProtractor
3.3.Pencil & PaperPencil & Paper
20 Apr 2023Created by Mr. Lafferty Maths
Dept.
Drawing SAS TrianglesDrawing SAS Triangles
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
20 Apr 2023Created by Mr. Lafferty Maths
Dept.
Drawing ASA TrianglesDrawing ASA Triangles
ASA TrianglesASA Triangles
SideSide AngleAngleAngleAngle
20 Apr 2023Created by Mr. Lafferty Maths
Dept.
Drawing ASA TrianglesDrawing ASA Triangles
Toolkit required
1.1.RulerRuler
2.2.ProtractorProtractor
3.3.Pencil & PaperPencil & Paper
20 Apr 2023Created by Mr. Lafferty Maths
Dept.
Drawing ASA TrianglesDrawing ASA Triangles
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
Check angles add to 180o
P Q
R
20 Apr 2023Created by Mr. Lafferty Maths
Dept.
Drawing SSS TrianglesDrawing SSS Triangles
SSS TrianglesSSS Triangles
SideSide SideSideSideSide
20 Apr 2023Created by Mr. Lafferty Maths
Dept.
2.2.CompassCompass
Drawing SSS TrianglesDrawing SSS Triangles
Toolkit required
1.1.RulerRuler
3.3.Pencil & PaperPencil & Paper
20 Apr 2023Created by Mr. Lafferty Maths
Dept.
Drawing SSS TrianglesDrawing SSS Triangles
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
Check angles add to 180o
X y
Z
Step 5 Draw in line XZ and YZ to complete triangle
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
ww
.math
srevis
ion
.com
2. Calculate 30% of 80
(a) 9.227 (b) 19.454 (c) 117.094
1. 125.2 + 19.82
3. Round to 2 decimal place
4. Find the value of x 4x +2 = 122
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
w.m
ath
srevis
ion
.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
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. To show how to bisect a line at right angles.
How to bisect and angle.
How to draw 60o angle.
Scales & Scales & DrawingDrawing
Drawing Quadrilaterals & Polygons
20 Apr 2023Created by Mr. Lafferty Maths
Dept.
Bisecting a line at right anglesBisecting a line at right angles
Toolkit required
1.1.RulerRuler
3.3.Pencil & PaperPencil & Paper
2.2.CompassCompass
20 Apr 2023Created by Mr. Lafferty Maths
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
20 Apr 2023Created by Mr. Lafferty Maths
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
20 Apr 2023Created by Mr. Lafferty Maths
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
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
ww
.math
srevis
ion
.com
2. Calculate 40% of 120
(a) 23.22734 (b) 29.45554 (c) 127.1096
1. 2.5 + 1.23 + 25.252
3. Round to 3 decimal place
4. Find the value of x 7x +4 = 102
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.St.
An
dre
w’s
Seco
nd
ary Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. To be able to To be able to understand the term understand the term scaled drawings.scaled drawings.
1. To understand the term scaled drawing,
read maps and interpret distance. 2. Interpret scaled drawing
into real-life measurements.
Scales & Scales & DrawingDrawing
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
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
ww
w.m
ath
srevis
ion
.com
Scales & Scales & DrawingDrawing
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
This line measures 3cmThis line measures 3cmWhat is the distance in real-lifeWhat is the distance in real-life
Example
ww
w.m
ath
srevis
ion
.com
1cm = 50m
This line measures 4cmThis line measures 4cmWhat is the distance in real-lifeWhat is the distance in real-life
Example1cm = 2miles
Scales & Scales & DrawingDrawing
3 x 50 =
150m
4 x 2 = 8
miles
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
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
ww
w.m
ath
srevis
ion
.com
Scales & Scales & DrawingDrawing
4 x 2.5 = 10m
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questions
2. Calculate 80% of 84
(a) 12.467 (b) 93.223 (c) 21.929
1. 89.6 + 17.27 - 1.01
3. Round to 2 decimal place
4. Find the value of x 3x +100 = 70
ww
w.m
ath
srevis
ion
.com
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.St.
An
dre
w’s
Seco
nd
ary Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1. To understand how to work out a bearing and it apply to problems.
1. Know the steps on how to work out a bearing.
2. Apply knowledge to problems.
Scales & Scales & DrawingDrawing
Bearings
20 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
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
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
ww
w.m
ath
srevis
ion
.com
Scales & Scales & DrawingDrawing
Bearings
70o
North
A
B
70o70o + 180o
= 250o
North Bearing from B to A is :
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
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
ww
w.m
ath
srevis
ion
.com
Scales & Scales & DrawingDrawing
Bearings
30o
North
X
Y
30o
30o+ 180o
= 210o
North
Bearing from Y to X is :
top related