Transcript Unit 12 Areas - Centre for Innovation in Mathematics Teaching

Unit 13
Areas
Presentation 1
Formula for Area
Presentation 2
Areas and Circumferences of Circles
Presentation 3
Formula for Areas of Trapeziums,
Parallelograms and Kites
Presentation 4
Surface Area
Unit 13
Areas
Formula for Area
Square
Side: a
Area = a x a = a2
Rectangle
Sides: a, b
Area = a x b = ab
Triangle
Base: b
Perpendicular height: h
Area =
Complete the table
Rectangle
Length
3 cm
5 cm
12 cm
6 cm
Width
Area
6 cm
?3
cm
18
? cm2
?3 cm
?5
cm
15 cm2
1 cm
12
? cm2
12
? cm
?6 cm
?6
cm
36 cm2
Complete the table
Triangle
Base
Height
Area
15 mm
12
? mm
90
? mm2
6 cm
?
?4
cm
12
? cm2
?11 cm
?4
cm
22 cm2
6 m
?7
m
21
? m2
Unit 13
Areas
You have finished viewing:
Formula for Area
Return to front slide
Presentation 1
Formula for Area
Presentation 2
Areas and Circumferences of Circles
Presentation 3
Formula for Areas of Trapeziums,
Parallelograms and Kites
Presentation 4
Surface Area
Unit 13
Areas
Areas and Circumferences of
Circles
Circle
Radius: r
Diameter: d
Circumference:
or
Area:
or
Example
Find the circumference and the
area of the circle with radius 4 cm
Circumference
?
?
Area
?
?
?
Unit 13
Areas
You have finished viewing:
Areas and Circumferences of Circles
Return to front slide
Presentation 1
Formula for Area
Presentation 2
Areas and Circumferences of Circles
Presentation 3
Formula for Areas of Trapeziums,
Parallelograms and Kites
Presentation 4
Surface Area
Unit 13
Areas
Formulae for Areas of
Parallelograms, Trapeziums and
Kites
Parallelogram
Area = b x h = bh
Trapezium
Area =
Kite
Area =
Complete the table
Rectangle
Base
Height
Area
5 cm
?3
cm
15
? cm2
4 cm
?
5 cm
20
? cm2
12 cm
12
?
cm
144 cm2
12 cm
?4
cm
48 cm2
6 cm
?8
cm
Unit 13
Areas
You have finished viewing:
Formula for Areas of Trapeziums,
Parallelograms and Kites
Return to front slide
Presentation 1
Formula for Area
Presentation 2
Areas and Circumferences of Circles
Presentation 3
Formula for Areas of Trapeziums,
Parallelograms and Kites
Presentation 4
Surface Area
Unit 13
Areas
Surface Area
z
unfolds
to give
y
x
The surface area is:
Find the surface area of the cuboid with
sides 4 cm, 5 cm and 6 cm.
When x = 4, y = 5, z = 6
?
?
?
?
?
r
unfolds
to give
h
Area of the circles
?
?
Area of the rectangle
?
Total surface area
?
?
?
?
?
?
Area of the circles
Area of the rectangle
Total surface area
Find the surface area of a can of height 10 cm
and radius 3 cm
When r = 3 cm, h = 10 cm
?
?
?
?
?
?
?
Unit 13
Areas
You have finished viewing:
Surface Area
Return to front slide
Presentation 1
Formula for Area
Presentation 2
Areas and Circumferences of Circles
Presentation 3
Formula for Areas of Trapeziums,
Parallelograms and Kites
Presentation 4
Surface Area