Mathematics Glossary

It is a very good Mathematics Glossary. If you forget some of the mathematics terms or you would like to learn more terms that you are going to use later, go to this website and have a look. You will benefit a lot.

Mathemathics Glossary

Additional Resources : Volume and surface area of a frustum

An integrated quiz

1. Click the following icon and try the quiz below. Click the table provided and record the answers of your first attempt in it. Post the table in YOUR OWN BLOG. (Deadline: 25th August 11:59p.m.)





2. Some of you will be assigned to post the steps to calculate questions in the quiz. Follow the allocation table and post the steps in THIS BLOG. (Time for posting steps: 26th August 12:00a.m. - 27st August 11:59p.m.)



3. For those who are not assigned to post any steps, you must read the steps posted by your classmates and suggest any better approach (faster steps or simpler calculations) to attempt the questions in THIS BLOG. (Deadline: 28th August 11:59p.m.)

Case study 3 : Which one should you pick up?

Case study 3 :
You are in a party. There are two kinds of paper cups available. One is cylindrical and another one is conical with the same radius of the cylindrical one but with twice as its height. Which one do you pick up for getting a soft-drink?

a) Observe and vote for it in a poll in THE COURSE BLOG. (Deadline: 21st August 11:59p.m.)
b) Use calculations to justify your choice. Let 'r' be the radius and 'h' be the height. Post your steps in YOUR OWN BLOG. (Deadline: 21st August 11:59p.m.)

Case study 2 : Which one should you order?

Case study 2:
You are going to buy an ice cream. In the shop, you have two choices. You can order a cylindrical ice cream or a conical ice cream. Both of them are with the same radius, height and most importantly, the same price. Which one should we order?
The conical one or the cylindrical one?

a) Observe and vote for it in a poll in THE COURSE BLOG. (Deadline: 19th August 11:59p.m.)
b) Use calculations to justify your choice. Let 'r' be the radius and 'h' be the height. List your steps in YOUR OWN BLOG. (Deadline: 19th August 11:59p.m.)

Additional Resources : Volume and surface area of a cone

Topic 6 : Surface Areas of Cones

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Task 6: Investigate the surface area of a cone (Face-to-face lesson)

You are required to work in a group of 4. Your group is given a cone. Cut its edge so that you can view its net. Can you derive the fomula for calculating the area of its net? Do the experiment and think about the following questions. Post the finding in THIS BLOG. (Deadline: 18th August 11:59p.m.)

Let ' r' be the radius and 'l' be the side height.

a) What is the area of the circle?

b) What is the similarity between the picture on your right and the net?

c) What is the area of the curved surface?

Additional Resources for Topic 5

Volume of a cone

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An online calculator to calculate the volume of a cone

Play with it.

Task 5b: Access the above website and use the calculator to calculate the volumes of 4 different cones with the same radius but with different height and construct a table as follows in YOUR OWN BLOG. (Deadline: 24th August 11:59p.m.)

Topic 5 : Volumes of cones

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After watching the video, you have to derive the formula for calculating the volume of a cone.




Task 5a: What is the formula for calculating the volume of a cone?
[Hint: Think about the volume of a cylinder.]

Post the formula in YOUR OWN BLOG. (Deadline: 25th August 11:59p.m.)

Topic 4 : Cones in our daily life

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Task 4: The above are examples of cones in our daily lives. Can you find more? Post their photos in YOUR OWN BLOG. (Deadline:23rd August 11:59p.m.)
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What is a cone?
Notice some important facts about a cone:

1. It has a flat base
2. It has a curved surface , so it is not a polyhedron

Let's drag the following cone so as to view it at different angles. (You can click the button - 'drag' to stop the cone moving and click the button again to resume it moving.)

Case study 1 : Which package is more economical?

Case study 1:
There are two cans of 250ml drinks here. Which one uses less materials for packaging? Less materials means saving more resources and money.

a) Observe and vote for it in a poll in THE COURSE BLOG. (Deadline: 17th August 11:59p.m.)
b) Now design a new package with the least materials for the can. Go to the supermarket and measure the diameter and height of these two cans. Go home and do some calculations. Make some paper models at home and record the findings in a table provided. Do you notice the pattern? Which one uses the least materials? Post your table and conclusion in YOUR OWN BLOG. (Deadline: 23rd August 11:59p.m.)


c) Why do the soft-drink companies have different packages of the drinks with the same volume? Answer this question in YOUR OWN BLOG. (Deadline: 23rd August 11:59p.m.)

Additional Resources for Topic 3

Video for Surface Area of a right cylinder

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Curved surface area of a cylinder
View the following website.

Topic 3 : Surface Areas of Cylinders

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Task 3a : Investigate the Surface Area of a Cylinder (Face-to-face lesson) You are required to work in a group of 4. Your group is given a cylinder. Cut its edge so that you can view its net. Can you derive the fomula for calculating the area of its net? Do the experiment and think about the following questions. Post the finding in THIS BLOG. (Deadline: 16th August 11:59p.m.)

Let 'r' be the radius and 'h' be the height.

a) How can you calculate the area of a circle?
b) What is the width and height of the rectangle?
c) How can you calculate the area of a rectangle?

A Revision Quiz on volumes of cylinders

1. Click the following icon and try the quiz below. Click the table provided and record the answers of your first attempt in it. Post the table in YOUR OWN BLOG. (Deadline: 19th August 11:59p.m.)

2. Some of you will be assigned to post the steps to calculate questions in the quiz. Follow the allocation table and post the steps in THIS BLOG. (Time for posting steps: 20th August 12:00a.m. - 21st August 11:59p.m.)

3. For those who are not assigned to post any steps, you must read the steps posted by your classmates and suggest any better approach (faster steps or simpler calculations) to attempt the questions in THIS BLOG. (Deadline: 24th August 11:59p.m.)

Additional Resources for Topic 2

Flash movie: Volume of a cylinder


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An online calculator to calculate the volume of a cylinder

Play with it.



Task 2b: Access the above website and use the calculator to calculate the volumes of 4 different cylinders with the same radius but with different height and construct a table as follows in YOUR OWN BLOG. (Deadline: 22nd August 11:59p.m.)

What is the relationship between height and volume? Answer this question in YOUR OWN BLOG. (Deadline: 22nd August 11:59p.m.)
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More about a cylinder

View the following website.

Topic 2 : Volumes of Cylinders

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Task 2a: Investigate the Volume of a Cylinder (Face-to-face lesson)
You are required to work in a group of 4. Pour some water into the glass provided until it is full. Then measure the volume of water by pouring the water in the glass into a measuring cylinder. Record the result. Use a ruler to measure the diameter and the height of the glass. Try to derive the formula for calculating the volume of a cylinder with the data collected. Post the finding as a group in THIS BLOG.(Deadline: 15th August 11:59p.m.)

[Hint: Think about the volume of a cuboid and the area of a circle.]

Topic 1: Cylinders in our daily life

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Daily Examples of Cylinders

Task 1a: You have to find some photos of cylinderial objects in your daily life. Post the photos in YOUR OWN BLOG. (Deadline: 21st August 2007 11:59p.m.)

Task 1b: You go to visit YOUR CLASSMATES' BLOGS and leave some comments on their photos. (Deadline: 24th August 11:59p.m.)
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What is a cylinder?
Notice some important facts about a cylinder:

1. It has a flat base and a flat top
2. The base is the same as the top, and also in-between
3. It has one curved surface, so it is not a polyhedron.

Let's drag the following cylinder so as to view it at different angles. (You can click the button - 'drag' to stop the cone moving and click the button again to resume it moving.)

Module outline

Unit: Cones and cylinders
Target group: Band 1 F.3 students
Learning goals:
Students are able to:

• understand more the concepts of cylinders and cones with the illustrations of daily examples
• derive the formulae for calculating the volumes and surface areas of cones and cylinders
• calculate the volumes and surface areas of cones and cylinders
• make use of the formulae to solve daily life problems
• construct their own blogs about their learning progress of the topic
• work collaboratively with others to tackle the problems
• complete the tasks and quizzes assigned

Prior knowledge:
1. Students have learnt how to calculate the volumes and surface areas of cuboids, areas of rectangles and circles.

Outline of the unit:

Topic 1: Cylinders in our daily life

Topic 2: Volumes of cylinders

Topic 3: Surface areas of cylinders

Topic 4: Cones in our daily life

Topic 5: Volumes of cones

Topic 6: Surface areas of cones

Teachers can assess students' performance with the following rubric.