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AREA AND VOLUME

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AREA AND VOLUME Form 1 Mathematics Chapter 7 REMINDER Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! – PowerPoint PPT presentation

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Title: AREA AND VOLUME


1
AREA AND VOLUME
  • Form 1 Mathematics
  • Chapter 7

2
Reminder
  • Lesson requirement
  • Textbook 1B
  • Workbook 1B
  • Notebook
  • Folder
  • Before lessons start
  • Desks in good order!
  • No rubbish around!
  • No toilets!

3
Result of CBQ (Ch. 9)
  • Result of Close Book Quiz
  • Full mark 40 and 10 bonus
  • Highest 44
  • Lowest 10
  • Average 23.8
  • Number of students between 10 19 13
  • Number of students between 0 9 0
  • Major Problems
  • Cannot get the drawing in rotation
  • Cannot get the coordinates in transformation
  • Mix up the rotation and reflection

4
Result of CBQ (Ch. 9)
  • Result of Close Book Quiz
  • 9th place KO Ka Chung Boston
  • LIN Long Chak, Vincent
  • 8th place FU Ling Yin, Larry
  • 7th place LAU Cheuk Hei, Anson
  • 6th place CHEN Yi, David
  • 5th place CHAN Tsz Long, Sam
  • 4th place YUEN Tin Wai, Timmy
  • 2nd place LI Ming Chun, Edward
  • WU SHAN Hao Yi
  • 1st place LI Sai Kong
  • Congratulations!!!!!! Well done!!!!!!

5
Area of plane figures (p.2)
1. Area of triangle
2. Area of square
length ? length
3. Area of rectangle
length ? width
6
Area of plane figures (p.2)
4. Area of parallelogram
base ? height
5. Area of trapezium
7
Calculating areas (p.3)
  • Splitting Method
  • Filling Method

Area of the figure
18 cm2
Area of the figure
38 cm2
8
Time for Practice
  • Pages 10 11 of Textbook 1B
  • Questions 5 18
  • Pages 1 3 of Workbook 1B
  • Questions 1 5

9
WORKBOOK
10
WORKBOOK
16
36
10
260
cm2
36
36
10
(18 ? 26) cm2
468 cm2
260
468
728 cm2
11
WORKBOOK
3
3
18 cm2
728
18
710 cm2
12
Volume of Simple Solids (p.3)
1. Volume of cube
length ? length ? length
2. Volume of cuboid
length ? width ? height
13
Prisms (??, p.12)
  • A solid with uniform cross-section in the shape
    of a polygon is called a prism.
  • A prism is named and classified according to the
    shape of its base.
  • The perpendicular distance between the two
    parallel bases of a prism is called its height
    (or length).
  • The faces (other than the two bases) of a prism
    are called lateral faces.

height
Triangular prism
14
Volume of Prisms (p.17)
  • Volume area of base ? height
  • e.g. Volume of the solid
  • 260 ? 20 cm3
  • 5200 cm3

15
Surface Areas of Prisms (p.14)
  • Total surface area
  • areas of the two bases
  • total area of all lateral faces
  • e.g. Total surface area of the solid
  • 2 ? 260 6 ? (20 ? 10) cm2
  • 1720 cm2

16
Volume of Prisms
  • Volume of the triangular prism ?
  • Area of the base of the prism
  • ( 7 ? 4 ? 2 ) cm2
  • 14 cm2
  • So, the volume
  • ( 14 ? 10 ) cm3
  • 140 cm3

17
Volume of Prisms
  • Volume of the rectangular prism (cuboid) ?
  • The volume
  • ( 5 ? 3 ) ? 6 cm3
  • 90 cm3
  • The volume
  • ( 3 ? 6 ) ? 5 cm3
  • 90 cm3
  • The volume
  • ( 5 ? 6 ) ? 3 cm3
  • 90 cm3

18
Volume of Prisms
  • Find the volume of the prism.

Area of base Volume of prism
(12 ? 7 8 ? 5) cm2 44 cm2
44 ? 11 cm3 484 cm3
19
Volume Surface Area of Prisms
  • The figure shows a gold ingot in the shape of a
    prism. Its base is a trapezium, and the other
    faces are rectangles. If the volume of the gold
    ingot is 540 cm3, find(a) the value of d,
  • (b) the total surface area of the gold ingot.

(a) Area of trapezium ? The volume of the gold
ingot i.e. 36d 540 d
15 (b) Total surface area of the gold ingot 2
? 36 2 ? (15 ? 5) 15 ? 12 15 ? 6 cm2
492 cm2
36 cm2
36d cm3
20
Time for Practice
  • Pages 22 23 of Textbook 1B
  • Questions 10 20
  • Pages 6 7 of Workbook 1B
  • Questions 3 6

21
WORKBOOK
22
WORKBOOK
8
8
8
512
5
10
4
cm3
200
512
200
12d
4
3
d
12d 312
12d
cm3
26
23
WORKBOOK
2.5
1
6
15
cm2
19
15
4 cm2
4
2 cm2
2
2.5
5
cm3
3
1
2
6 cm3
6 cm3
5 cm3
B
24
Reminder
  • Missing Homework, Re-do Homework
  • Today!
  • SHW (I)
  • Today!
  • SHW (II)
  • 22 Mar (Fri)
  • Open Book Quiz
  • 22 Mar (Fri)
  • Close Book Quiz
  • 26 Mar (Tue)

25
  • Enjoy the world of Mathematics!
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