Chapter 8 - Triangles and Polygons

End of Year Examination 2010

1.         Format

·            2 Papers

·            Paper 1 – 60 minutes

·            Paper 2 – 1 hour 15 minutes

·            Calculator is allow for both papers

·            Students are required to bring along all necessary stationery inclusive of mathematical instrument sets

·            No borrowing of stationery is allow during the examination

2.         Topics tested

·            Chapter 1 – Factors and Multiples

·            Chapter 2 – Real Numbers

·            Chapter 3 – Approximation and Estimation

·            Chapter 4 – Introduction to Algebra

·            Chapter 5 – Algebraic Manipulation (Include Expansion of Quadratic expression, Use of Algebraic rules in Expansion and Factorisation of Quadratic expression, Factorisation of Quadratic expression using Cross-Multiplication method)

·            Chapter 6 – Simple Equation in One Unknown

·            Chapter 7 – Angles and Parallel Lines

·            Chapter 8 – Triangles and Polygons

·            Chapter 9 – Ratio, Rate and Speed

·            Chapter 10 – Percentage

·            Chapter 11 – Number Pattern

·            Chapter 12 – Coordinates and Linear Graphs (Include calculation of Gradient using 2 coordinates point, Equation of a straight line y = mx +c)

·            Chapter 16 – Data Handling (Include Mean, Mode and Median)

Viva Voce Assessment 2010

Objective
The objective of the Viva Voce Assessment is to enhance students' problem solving skills and Mathematical communication abilities.


Students will be assessed based on the following 2 criterions
1) Problem Solving Skills and Strategies
2) Concept and Mathematical Communication


Format of assessment
1) Students are to download a list of questions from their Mathematics Google Site on the 8 October 2010.


2) The questions are divided into 3 Categories, namely, Speed and Time, Area and Perimeter, and General questions.


3) Students are required to choose 1 question from each category, work out its solution and video their explanation and solution of the question using Photo Booth.


4) Each video should be label as follows "Class-Index No-Question No" eg. 104-01-Q2


5) All videos are to be email to edmund_ng@sst.edu.sg by 10 pm on 10 October 2010 (Sunday) and written solution are to be submitted on 11 October 2010 (Monday)


6) Late submission will not be assessed.

Chapter 7 - Introduction to Angles Part 3

The diagram below shows a quadrilateral ABCD.

Prove that ABCD is a parallelogram.

Chapter 7 - Introduction to Angles Part 1

Question 2,

Dear Mr Ng,

The question to answer:

Question 2:

Answer: D

Reasons: Statement A: Squares and parallelograms have 4 sides each. Proof:
Mentor:     Great! We've already learned that quadrilaterals have how many sides?
Student:    Four.

              Statement B: Opposite sides of a square and parallelogram are parallel. Proof:
Student:    But, how can all the sides be parallel if a quadrilateral is a polygon and is all closed off?
Mentor:     Great thinking! I guess what I should have said is that a parallelogram has two pairs of opposite sides that are parallel.

              Statement C: A trapezoid has only one pair of parallel sides. Proof:
The shape of a trapezium shows only one pair of parallel sides.



Question 4

Answer: No

Reasons: A parallelogram has 2 pairs of parallel lines, but the pairs of lines have different lengths (Let's say AB//CD and BC//AD. AB and CD have the same length (xcm) and BC and AD also have the same length but this time not xcm (example ycm)). Futhermore, all of the angles in a square are 90º. But in a parallelogram, opposite angles are the same.


Question 5

A parallelogram has 2 parallel pair of lines (BF//ED and BE//ED). Thus BFED is a parallelogram.

Q1,2,5-Matthew Wong

Q1. The statement is justified as a square can be a rhombus as it sides are all equal. but a rhombus cannot be a square as the angle of each side might not be 90º.

Q2. (D)
A) They are quadrilaterals as they both have four sides.
B) They are parallel
C) One of the sides are parallel

Q5. Lines BF and ED are parallel and so are lines BE and FD.
 

Questions 1, 2 and 4 by Tshin Qi Ren

Q1) 'A square is a rhombus but a rhombus is not a square'.
I agree with the statement.

Because a square is a polygon with four equal length sides and four 90 degree angles. 
while a Rhombus is a shape that all the sides are equal with the same length but might not have the same degree, only the opposite side is the same. But a square can in a way, have the same degree for opposite sides. But a rhombus might not necessarily have 90 degrees so it cannot be said to be a square...

Q2) Which of the given statements is correct? Justify your answer/s with examples.

A ) A square and a parallelogram are quadrilaterals.

B ) Opposite sides of a square and a parallelogram are parallel.

C ) A trapezoid has one pair of parallel sides.

D ) All the above

D) All of the above. 

A) Quadrilateral is a four-sided figure which have straight lines so squares and parallelograms.

B) Having the same degree for the 4 sides, the square's opposite sides are naturally the same. As their opposite degree are the same, so, the opposite sides are naturally opposite sides too.

C) A trapezoid only have 1 pair of parallel sides

Q4) 'All parallelograms are squares?' Do you agree with this statement?

No, I do not agree with it. Parallelograms are opposite sides that are parallel to each other and opposite sides are equal in length. However, their angles do not necessarily have to be 90 degrees like the square.

Tshin Qi Ren

E-Learning 2010 Maths Activity 3

Question 1:

The statement 'A square is a rhombus but a rhombus is not a square' is completely untrue.

First, let us review the properties of a square:

• Perpendicular lines (90 degrees in each angle)
• Parallel Lines
• All lines are equal in length

Then, compare with the properties of a rhombus:

• Parallel Lines
• All lines equal in length
• Non-perpendicular lines

Hence, since one property is completely opposing each other, rhombuses cannot be squares, and squares cannot be rhombuses.

Question 2:

All of the above! (D)

For A, a quadrilateral is a shape with 4 sides, hence, a square and a parallelogram are quadrilaterals.
For B, the opposing sides of squares and parallelograms are parallel to each other.
For C, the trapezoid has only one pair of parallel lines, no more, as the other two lines will soon connect if extended.

Question 4:

Parallelograms already have 2 different lengths for their sides, hence is not a square.

Q2,3&4 by Chan Jia Ler

Q2: D) All of the above.

A) is correct because squares and parallelograms are all four sided, which make them quadrilaterals.

B) is correct because both opposite sides of squares and parallelograms are parallel.

C) is correct because the two sides that are sandwiching the non-parallel sides are parallel.

Q3: The figure is a trapezium, because the parallel sides of a trapezium are of the same length, and the pair of opposite angle both add up to 180º.

Q4: I do not agree with the statement, because parallelograms' two opposite sides are of the same length, but ALL sides cannot be of the same length.

Question 1 by Kimberly Ong

A square is a rhombus as it has got 4 sides of the equal length and its opposite sides are parallel. A rhombus also has these properties. However, a rhombus does not necessary have 4 equal angles, which is a property of a square.

Question 2 by Kimberly Ong

A) Both of them are quadrilaterals as they both have 4 sides.

B) Opposite sides of a square and a parallelogram are parallel as parallel lines do not meet.

C) A trapezoid does only have one pair of parallel sides.

D) Statement D is correct as all of the above of correct.

Question 3 by Kimberly Ong

This quadrilateral is a trapezium. It is because it has the same properties as a trapezium will have. It has one pair of opposite sides which equal in length, the other pair not equal in length. It could not be a square or a rectangle as it does not have 4 right angles. It could not be a rhombus since it does not have 4 equal sides. It could not be a parallelogram as it does not have two pairs of parallel lines. It does not have two pairs of adjacent sides that have equal length, thus it could not be a kite.

I do not have permission to add a sticky post on wallwisher.

Mr Ng, I do not have permission to add a sticky to Wallwisher. Why?

Question 4 by Serene

Question 4:

'All parallelograms are squares?' Do you agree with this statement?

Justify your answer with example/s.

Ans: No, I do not agree with this statement. The property of parallelograms are that opposite sides are parallel to each other and opposite sides are equal in length. However, their angles do not necessarily have to be 90 degrees like the square. 

Question 1

Q1) Based on the above conversation discuss, with examples and justification whether the following statement is justified.

'A square is a rhombus but a rhombus is not a square'.

Ans: True, a rhombus has equal sides and so does a square. However, a rhombus' diagonally opposite angles are not 90 degrees like the square. So a square can be a rhombus as is has 4 equal sides but a rhombus cannot be considered a square as it's angles are not necessarily 90 degrees. 

Question 2

Q2) Which of the given statements is correct? Justify your answer/s with examples.

A ) A square and a parallelogram are quadrilaterals. 

B ) Opposite sides of a square and a parallelogram are parallel.

C ) A trapezoid has one pair of parallel sides.

D ) All the above

Ans: D) All of the above. 

A) Yes, a square and a parallelogram are quadrilaterals. A quadrilateral is a four-sided figure which have straight lines like a square and parallelogram. 

B) Yes, they are. A angles of a square are all 90degrees so the opposite sides are parallel to each other. A parallelogram sides are parallel to each other as their diagonally opposite angels are equal. 

C) Yes, a trapezoid has one pair of parallel sides. 

Question 3 by Ho Jun Hui

The figure is an trapezoid. First, it only has one set of parallel lines, which squares, parallelograms or rhombuses, etc have. Next is its difference in length of another set of lines. This fits the description of the parallelogram.

Question 2 By Ho Jun Hui

A) Yes, as they all have four sides

B) Yes, if not they would not be squares or parallelograms 

C) Trapezoid has one pair of parallel lines, which makes it different from a parallelogram

D) Yes, all the reasons stated above.

Question 4 by low wei kang

question 4

No, I do not a agree with this statement as the sides of the squares are all equal, while some of the sides of the parallelogram are not equal, also, the angles of the square are all similar, but some the angles of the parallelogram are not equal.

question 5 by low wei kang

Question 5

I agree with this statement, as the sides of the parallelogram has similar sides, the half of one of its side would be equal to the half of the other, and as they are half the sides 2 the opposite sides, they should also be on opposite sides, which are parallel.

Question 1 by low wei kang

Weikang

Question one

'A square is a rhombus but a rhombus is not a square'.

I agree with this statement as the rhombus needs to have equal sides and opposite angles to be similar, in which the square has all the needed things to be a rhombus, but the square requires all the angles to have a similar angle, which is something the rhombus does not have, therefore the square can be a rhombus but the rhombus cannot be a square

Question 4 by Roy Chua

I disagree with the statement, for not all parallelograms have sides that are all equal, which is the situation in that of a square. Not all parallelogram's angles are all equal to one another, which is the situation in that of a square.

Question 4 Millie Thng

 'All parallelograms are squares?' Do you agree with this statement?
Justify your answer with example/s.

I do not agree with this statement. Attached is a parallelogram that is not a square. It has 2 pairs of parallel lines and 4 sides (thus a parallelogram) but all 4 angles are not at 90 degrees each (thus it is not a square).

picture taken from : http://sodilinux.itd.cnr.it/sdl6x3/documentazione/xeukleides/eukleides_html/samples/parallelogram.html

Question 2 Millie Thng

Which of the given statements is correct? Justify your answer/s with examples.
A ) A square and a parallelogram are quadrilaterals.
B ) Opposite sides of a square and a parallelogram are parallel.
C ) A trapezoid has one pair of parallel sides.
D ) All the above

D is correct.
A) A square and a parallelogram have four sides each so they are quadrilaterals.
B) The opposite sides of a square and a parallelogram will never meet when extended.
C) There is only one pair of sides in a trapezoid that will never meet when extended.

Question 2 by Roy Chua

Statement D is correct for:

A) Both squares and parallelograms have four sides altogether, meaning they are quadrilaterals.

B) Squares and parallelograms have parallel opposite sides for when any one of the angles within both shapes are added with one of the angles adjacent to it, the result is 180 degrees.

C) This is true for if they had two pairs and still are quadrilaterals, they would be squares or rectangles. If they had no pairs of parallel sides, the shape would not be a trapezium anymore.

Question 1 Millie Thng

Q1 Based on the above conversation discuss, with examples and justification whether the following statement is justified. 'A square is a rhombus but a rhombus is not a square'.

The statement is true. A square is a rhombus because it fulfills the criteria - having all four sides with the same length, 2 pairs of parallel lines. A rhombus is not a square because it does not fulfill the criteria of being a square - it does not have all 4 angles at 90 degrees each.

I do not agree that all parallelograms are squares. The sides of a parallelogram are of unequal lengths, while the sides of a square are equal. The sides of a parallelogram are not perpendicular to one another, while the sides of a square are perpendicular to one another. Parallelograms can also exist in forms of a rectangles or rhombuses

Question 2 by Mitchel Goh

Statement D is correct. A square and a parallelogram are quadrilaterals as they have 4 sides. Opposite sides of a square and a parallelogram are parallel, since parallel lines do not meet. A trapezoid has only one pair of parallel lines-the top base and the bottom base are parallel to each other. All the statements are correct, thus the answer is D.

Question 1 by Mitchel Goh

I agree with the statement.Every square is a rhombus, because it's a quadrilateral with four congruent (equal) sides.  But there are rhombuses that are not square,because their angles are not right angles. 

Question 1 by Roy Chua

The statement is true for all the opposite angles of a square are the same and all the opposite sides of a square are of the same length. A rhombus is not a square for not all rhombi's angles are the same and are right-angles, and not all the sides of all rhombi are perpendicular to sides adjacent to itself.

Question 4 by Denise Lim

I do not agree that all parallelograms are squares. The sides of a parallelogram are of unequal lengths, while the sides of a square are equal. The sides of a parallelogram are not perpendicular to one another, while the sides of a square are perpendicular to one another.

Question 2 by Denise Lim

Statement D is correct. A square and a parallelogram are quadrilaterals as they have 4 sides. Opposite sides of a square and a parallelogram are parallel, since parallel lines do not meet. A trapezoid has only one pair of parallel lines-the top base and the bottom base are parallel to each other. All the statements are correct, therefore the answer is statement D.

Question 1 by Denise Lim

The statement is true. A square is a rhombus as all the sides of a square are equal and they are parallel to one another. However, a rhombus is not a square since a square has 4 right angles and most rhombus do not.

Question 4 by Arthur Lee

I do not agree with the statement as there are major differences between a parallelogram and a square. The sides are not equal in length in the parallelogram while this is so on the square. The angles are not all 90 degrees in parallelogram while in a square all angles are 90 degrees.

Question 2 by Arthur Lee

Question 2:

Which of the given statements is correct? Justify your answer/s with examples.

A ) A square and a parallelogram are quadrilaterals.

B ) Opposite sides of a square and a parallelogram are parallel.

C ) A trapezoid has one pair of parallel sides.

D ) All the above

Answer: D) A is correct as according to the shapes they both have four sides. B is correct as according to the shapes the opposite sides are parallel. C is correct as only the bottom side is parallel to the top. Thus, the answer is D.

Question 1 by Arthur Lee

The statement is not justified as a square is not a rhombus or vice versa, they are two completely things. Although all sides have equal length is evident in both, their angles are not the same and the overall structure is completely different. 

Question 4 by Fatin Zafirah

A parallelogram does not have four right angles like a square. A parallelogram also does not have 4 equal sides like a square.

Question 2 by Fatin Zafirah

D) All of the above

Quadrilaterals have four sides. Both the square and parallelogram have four sides.

The lines on the opposite sides of the square and parallelogram will never meet. Therefore they are parallel.

Only one pair of lines of the opposites sides of the trapezoid will never meet. Therefore it has only one pair of parallel sides.

Question 1 by Fatin Zafirah

A square is a rhombus but a rhombus is not a square. Both the square and rhombus are parallel. However, the rhombus does not have four right angles so it is not a square.

Question 5 Done By Ilya Haider

BFDE is a parallelogram as the 2 equilateral triangles, ABE and CDF are at the sides of ABCD. This leaves the space in the middle. This space BFDE is a parallelogram.

Question 4 Done By Ilya Haider

All parallelograms are not squares as there is a shape called the rhombus of which all horizontal and vertical sides are parallel to each other.

Question 3 Done By Ilya Haider

This figure is a trapezoid. It only has 2 sides of equal length. The total angle inside any figure is 360 Degrees. So, one side of the figure has 2 angles which add up to 180 Degrees. Same for the other 2 angles.

Question 2 by Jeremy Lai

I agree with all of the statements. A square and a parallelogram are
quadrilaterals as they are four sided figures. Opposite sides of a
square and a parallelogram are parallel. A trapezoid has one pair of
parallel lines.

Question 4 by Jeremy Lai

I disagree with the statement "all parallelograms are squares".
Parallelograms are not squares as it does not have any perpendicular
lines, and does not have four right angles.

Question 1 by Jeremy Lai

A square is a rhombus as it has four equal sides and its sides are
all parallel. However, a rhombus is not a square as a rhombus does not
always have four right angles.

Question 2 Done By Ilya Haider

My answer is D) All of the above. For A) A square and a parallelogram are both quadrilaterals because both of them have 4 sides. B) Opposite sides of a square and a parallelogram are parallel. C) A trapezoid has only one pair of parallel lines.

Question 1 Done By Ilya Haider

A square is a rhombus as for both shapes, they have 4 sides which are parallel to each other and are of equal length. A rhombus is similar to a square but not a square. It's sides are slanted at a certain angle. A square is a rhombus but a rhombus is not a square.

Q4 by helene tan

'All parallelograms are squares.' I disagree with this statement as parallelograms are not squares. Their interior angles are not 90 degrees, so they are not squares. Parallelograms also do not have 4 equal sides, like a square does. 

Question 1

A square is a rhombus as for both shapes, they have 4 sides which are parallel to each other and are of equal length. A rhombus is similar to a square but not a square. It's sides are slanted at a certain angle. A square is a rhombus but a rhombus is not a square.

Q2 by Helene Tan

Which of the given statements is correct? Justify your answer/s with examples.

A ) A square and a parallelogram are quadrilaterals.

B ) Opposite sides of a square and a parallelogram are parallel.

C ) A trapezoid has one pair of parallel sides.

D ) All the above

A is correct as both the square and the parallelogram are four-sided figures. B is correct as the opposite sides of a square and parallelogram will never meet if it is stretched to be longer. C is correct as only one pair of lines of a trapezoid will not meet if it is stretched, so it has only one pair of parallel sides. Therefore, the answer D, all of the above, is correct.

Q1 by Helene Tan

'A square is a rhombus but a rhombus is not a square'. This statement is untrue, as a square is not a rhombus, and a rhombus is not a square as well. Although both have two sets of parallel lines, and both have 4 equal sides, a square has a 90 degree angle whereas the rhombus does not. 

Question 1 Activity 3

This statement is untrue as neither square nor rhombus are the same. A rhombus and square may have parallel sides but a square had a 90 degree angle but a rhombus does not. So, this statement is untrue.

Question 5 by Reuven Lim

BFDE must be a parallelogram. This is because BC and AD are opposite sides and parallel. As E is the midpoint of AD, and F the midpoint of BC, BE and FD are parallel. BF and ED are also parallel, so BFDE must be a parallelogram.

Question 4 by Reuven Lim

I do not agree with this statement. Not all parallelograms are squares. Parallelograms are not even squares. All sides of squares are equal, and all interior angles = 90 degrees each. All sides of parallelograms are not equal, and all interior angles not = 90 degrees each. Therefore, the statement is false.

Question 3 by Reuven Lim

This figure should be a trapezoid. This is because only one pair of opposite sides are equal in length, and the other pair is of different lengths. This leaves only the trapezoid left, so the figure should be a trapezoid.

Question 2 by Reuven Lim

Which of the given statements is correct? Justify your answer/s with examples.

A ) A square and a parallelogram are quadrilaterals.

Yes, because they have four sides so they qualify.

B ) Opposite sides of a square and a parallelogram are parallel.

Yes.

C ) A trapezoid has one pair of parallel sides.

Yes.

D ) All the above

Yes.

Question 1 by Reuven Lim

The statement is not justified. A square is not a rhombus and a rhombus is not a square. This is because in squares, all interior angles = 90 degrees each. In a rhombus, all the interior angles are not = 90 degrees each. Therefore, a square is not a rhombus and a rhombus is not a square.

E-learning Activity 2 - Examples of Special Quadrilaterals at Home

Are all straight lines the same?

Straight lines are use to illustrate the linear relationship between TWO variables / unknowns.

We have also been creating straight lines using Geo-Gebra.

How do we differentiate one straight line from another?

What are some of the properties that will cause one straight line to be different from another.

A Thinking Question....

When 1 is divided by 1, the answer as we know the answer will be 1. Similarly when 2 is divided by 2, 3 is divided by 3 and 4 is divided by 4, we know that the answer will still be equal to 1.
However, is it true that when x is divided by x, the answer will always be 1? If not, when is x divided by x not equal to 1?

Post your reply under the Comment Section.

Reflection on Solving of Linear Equations

What are some of the key learning points you have taken note in the solving of linear equations?

Post your learning points using the Wallwisher below:

Welcome Back for a New Semester

Dear students,

Welcome back to school after your June Holidays.

Let us start the new semester with this task.

Under the comment section, post up

1) 1 interesting thing you have done / see during the June Holidays.

2) 1 interesting knowledge that you have learn during the June Holidays.

3) The expectation that you are going to set for yourself in the learning of Mathematics.

Chapter 9.2 : Average Rate (Lesson 1)

Rate is a ratio between two quantities with different units of measurement.

Rate allows us to express a quantity as a proportion of another quantity thus enable us to make comparison between different quantity.

Examples of rate being used in our daily life are:
1) Speed of a car, where the distance is measured against time (Kilometer per Hour or Meter per Second)

2) Buying of food and drink, where the price is measured against the weight or volume (Dollars per Kilograms or Dollars per Litres)

3) Frequency of Buses (Number of buses in operation per Hour)

4) Heart Rate (Number of beat per Minute)

The examples of rate in our daily life in countless.....

Thus give 2 examples of the use of Rate in your life and briefly describe how you can make use of these information to help you make better decisions in your life.

Please also refer to your Textbook 1B from Pg 9 to 11 and your Ace - Learning Portal for more materials and examples.

Chapter 5.1 : Like Terms and Unlike Terms

How to Understand the Vocabulary Of Algebra

The Algebra Language...

Chapter 9.1 : Ratio

Golden Ratio and the Human Body
http://milan.milanovic.org/math/english/golden/golden2.html

Golden Ratio and Architecture
http://library.thinkquest.org/trio/TTQ05063/phibeauty4.htm

Chapter 16 : Data Handling Lesson 4

Dear 104s,

Welcome back after your Common Test.

In statistics, we will will often analysis data set based on MEAN, MODE & MEDIAN

Thus, what exactly is mean, mode & median?

Do an online search and input your definition of mean, mode and median in the comment

Chapter 16 : Data Handling Lesson 3

Hi 104s,

Great to see everyone again after your data collection session 2.

Today we will have a couple of tasks to complete

1) Please upload your data collected from yesterday session into the spreadsheet "SST 2010 Traffic Survey Data". 

Please indicate clearly the direction of the traffic flow.

2) Examples of Statistics in real life.

We are going to make use of an online Post-It board to help us in gathering examples of Statistical digram that we can find in real life.

Everyone is required to put up 2 Post It, giving an example of either a Bar Chart or a Pie Chart and an example of a Line graph.

Chapter 16 : Data Handling Lesson 2

Hi 104s,

Congratulations on your completion of the first round of data collection.

 

Thus, I will like the class to reflect on your experience this morning.

Please post your reply under the Comments Section for the following questions.

1) What are some of the difficulties you have encountered during the data collection process?

2) What are some of the improvement you can make to the data collection process?

Chapter 16 : Data Handling Lesson 1.2

Data Handling is a major part to the broad topic of Statistics.
Thus what exactly is Statistics?
Please go through the 2 videos posted below.
Video 1

Video 2


Thus do you have a better understanding of Statistics?
In your own words,
1) Explain what do you think Statistics is all about?
2) How can you apply Statistics in your decision making?
Please post your reply under the Comment section by 9 April 2010 (Friday)

Chapter 16 : Data Handling Lesson 1.1

Our problem…



Please pay close attention to the assessment requirement for this chapter.

Am I Utilising My Mobile Plan? - Part 2 Assumptions Made

These are some of the assumptions that we have agreed as a class.

1. We do not allow add on services.
2. We will limit the components that affect the pricing of the mobile plan.
3. We are only concerned with post paid services.
4. We are only concerned with the price paid for the mobile services, we do not consider any special bundle or discounts.
5. We do not consider price plan that are for specific phones eg, I-phone, Blackberry.
6. We will ignore price plan that give discounts to specific age groups eg, students / senior citizen / corporate plan.
7. We will consider price plan that last for 2 years.
8. No loyalty discount.
9. No overseas calls.

Am I Utilising My Mobile Plan?

Input your considerations & assumptions under the comment section

Introduction to Algebra Part 2

Dear 104s,

Please solve the following problem using both the Model method and the Algebraic method.



Now look at both your solutions, what are some of the similarities and differences between the 2 methods?

Introduction to Algebra Part 1

Dear 104s,

Please look through the presentation slides before we began our exploration of Algebra in the coming week (8 Mar to 12 Mar 2010).

The History of Numbers (15 January 2010)

The use of numbers has started since the ancient time till now.

In your groups,

1) List out some of the Ancient Civilizations that have once existed in our world.

2) Decide on one Civilization that your group has listed out and carry out a research on the number system that was associated with this civilization.

3) Using a 5-slides Keynote presentation, develop a presentation that describe the development history of this set of number system, describe the number system and depicts digit from 0 to 9, the number 10, 100 & 1000.

4) Hence, develop a simple worksheet using Pages, which required your friends to convert numbers from your choice of number system to our present Hindu - Arabic number system. You should have 4 questions that involved a 2-digits number, 4 questions that involved a 3-digits number and 2 questions that involved a 4-digits number.

5) Please submit your presentation slide and worksheet by 25 January 2010.

6) Please acknowledge all information that the team has taken from the Internet. The method of acknowledgement is (a) The Title of the website. (b) The URL. (c) The Date and Time where the information was view.

The Need of Numbers (15 January 2010)

As an individual, consider

1) Why is there a need of having numbers?

2) When did the first use of number, based on your imagination, occur?

Please post your comments by 16 January 2010.

Review Assignment on 15 January 2010

Dear 104,

Please note that I will be conducting a review assignment in class on 15 January 2010.

The topics involve are those you have come across during your PSLE.

The review assignment will last for 30 minutes and please note that no calculators will be allowed for this assignment.

Your Expectation (12 January 2010)

Dear Class 104,

Welcome to a brand new year.

Before we start our lesson, I will like you to think of the following questions as an individual.

1) What are your success / joys you have experienced in the learning of Mathematics in your primary school?

2) What are your fear / difficulties you experienced in learning Mathematics?

3) What are your expectation of me as a Mathematics Teacher?

Welcome to the Maths Blog

Dear Class 104,

Welcome to the Maths Blog for the class. Please become a follower of this blog as we will be using this blog for our discussion beyond curriculum. I have the following rules that I hope everyone in the class can observed.

1. Everyone must participate in the discussion.

2. No one shall put down another person on the blog.

3. Be respectful and responsible in your choice of words.

4. Use of proper English when posting your comments.