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Published byAshley Stevenson Modified over 9 years ago
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AREA AND VOLUME Form 1 Mathematics Chapter 7
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Reminder Lesson requirement Before lessons start Textbook 1B
Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around! No toilets!
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Result of CBQ (Ch. 9) Result of Close Book Quiz Major Problems
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
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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!!!!!!
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Area of plane figures (p.2)
1. Area of triangle = base height 1 2 2. Area of square = length length 3. Area of rectangle = length width
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Area of plane figures (p.2)
4. Area of parallelogram = base height 5. Area of trapezium = sum of lengths of parallel sides height 1 2
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Calculating areas (p.3) Splitting Method Filling Method
Area of the figure 1 2 = (3 + 6) 2 cm2 = cm2 Area of the figure = 4 – 2 2 cm2 1 2 = 38 cm2
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Time for Practice Pages 10 – 11 of Textbook 1B
Questions 5 – 18 Pages 1 – 3 of Workbook 1B Questions 1 – 5
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WORKBOOK
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WORKBOOK 16 36 10 260 cm2 36 36 10 (18 26) cm2 = cm2 260 468 728 cm2
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WORKBOOK 3 3 18 cm2 728 18 710 cm2
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Volume of Simple Solids (p.3)
1. Volume of cube = length length length 2. Volume of cuboid = length width height
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PRISMS (柱體, 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. base height lateral faces base Triangular prism
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Volume of Prisms (p.17) Volume = area of base height
e.g. Volume of the solid = 260 20 cm3 = 5200 cm3
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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 (20 10)] cm2 = 1720 cm2
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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
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Volume of Prisms Volume of the rectangular prism (cuboid) = ?
The volume = [ ( 5 3 ) 6 ] cm3 = 90 cm3 = [ ( 3 6 ) 5 ] cm3 = [ ( 5 6 ) 3 ] cm3
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Volume of Prisms Find the volume of the prism. Area of base
= (12 7 – 8 5) cm2 = 44 cm2 = 44 11 cm3 = 484 cm3
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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. 1 2 = (6 + 12) 4 cm2 (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 (15 5) + 15 6] cm2 = 492 cm2 = 36 cm2 = 36d cm3
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Time for Practice Pages 22 – 23 of Textbook 1B
Questions 10 – 20 Pages 6 – 7 of Workbook 1B Questions 3 – 6
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WORKBOOK
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WORKBOOK 8 8 8 512 5 10 4 200 cm3 200 12d 512 4 3 d 12d = 312 12d cm3 26
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WORKBOOK 2.5 1 6 15 cm2 19 15 4 cm2 4 2 cm2 2 2.5 5 cm3 1 2 3 6 cm3 6 cm3 5 cm3 B
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Reminder Missing Homework, Re-do Homework SHW (I) SHW (II)
Today! SHW (I) SHW (II) 22 Mar (Fri) Open Book Quiz Close Book Quiz 26 Mar (Tue)
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Enjoy the world of Mathematics!
Ronald HUI
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