Chapter 4 - Algebra Homework 1a (Exercise 4.1)

he following have not submitted the homework

  1. Leong Sin Yuen Lynnette
  2. A Manicka Praveen
  3. Chiam Chuen
  4. Goh Qian Zhe
  5. Khor Ethan
  6. Koh Guo Feng

Chapter 16 - Data Handling - Formative Assessment & Homework

Please refer the Formative Assessment copies that were returned to you today.

The following are strongly encouraged to re-attempt the papers and see me after school on Wednesday (2 May) to clarify areas that you have not demonstrated your understanding:
  1. Kota Kiran Chand
  2. Tan Shi Jie
  3. Poon Wai Kit
In addition, the following have not handed in...

Chapter 16 Homework 2
  • Achutha d/o Karuppiah
  • Liew Jia Wen
  • A Manicka Praveen
  • Khor Ethan
  • Koh Guo Feng
  • Teng Chen Chang Gabriel
Chapter 16 Homework 3
  • Leong Sin Yuen Lynette
  • A Manicka Praveen 
  • Khor Ethan
  • Koh Guo Feng
  • Teng Chen Chang Gabriel
Chapter 16 Homework 4
  • Achutha d/o Karuppiah
  • A Manicka Praveen
  • Khor Ethan
  • Koh Guo Feng
  • Ng Keen Yung 

Revision for Common Test

Dear S1-04

Please note that the worked solutions to the following are now available via the GoogleSite:
1. Common Test Revision
2. Algebra Revision Worksheet

Please go through the working presented to have a clearer idea how we approach the questions.
Should you need help, you can either email the questions/ query to me, or "find" me in Facebook.

Ms Loh
The following have not submitted the Homework:

Homework 2 - Mean, Median, Mode & Histogram
  1. Achutha d/o Karuppiah
  2. Chan Siew Ee Sarah
  3. Liew Jia Wen
  4. A Manicka Praveen
  5. Khor Ethan
  6. Koh Guo Feng
  7. Kota Kiran Chand
  8. Ng Keen Yung
  9. Ryan Chew
  10. Tan Shi Jie
  11. Teng Chen Change Gabriel
Homework 3 - Dot Diagrams
  1. Chan Siew Ee Sarah
  2. Leong Sin Yuen Lynnette
  3. Liew Jia Wen
  4. A Manicka Praveen
  5. Khor Ethan
  6. Koh Guo Feng
  7. Kota Kiran Chand
  8. Ng Keen Yung 
  9. Ryan Chew
  10. Teng Chen Chang Gabriel
Homework 4 - Stem-and-Leaf Diagrams
  1. Achutha d/o Karuppiah
  2. Liew Jia Wen
  3. A Manicka Praveen
  4. Khor Ethan
  5. Koh Guo Feng
  6. Ng Keen Yung
  7. Tan Shi Jie
  8. Teng Chen Chang Gabriel

Chapter 4: Vocabulary in Algebra

(I) Algebraic Expressions vs Equations
The following are expressions
  • 3x
  • 5 - 2y
  • p + 2q - 45
  • mn
The following are equations:
  • 2x = 4
  • x + 8 = 20
  • x² = 36
  • 2x + y = 4
Can you tell the difference between an expression and an equation?

(II) Coefficients, Variables and Constants
In the following algebraic expressions:

(a) 6x
  • x is a variable
  • 6 is the coefficient of x
  • There is no constant
(b) 2y + 5
  • y is a variable
  • 2 is the coefficient of y
  • 5 is the constant
(c) 3m + 7n + 9
  • m and n are variables
  • 3 and 7 are coefficients of m and n respectively
  • 9 is the constant
(d) p + 2q - 45
  • p and q are variables
  • 1 and 2 are coefficients of p and q respectively
  • -45 is the constant
(e) 5a - 3b + 1
  • a and b are variables
  • 5 and -3 are coefficients of a and b respectively
  • 1 is the constant
(f) x - y
  • x and y are variables
  • 1 and -1 are coefficients of x and y respectively
  • There is no constant
When given an expression, are you able to pick out the variable(s), coefficient(s) and constant terms?
Click HERE to read more about these...


Let's learn more terms that are related to Algebra through the Hangman activity (select "Algebra")

Chap 4: Evaluating Algebraic Expressions

In this activity, you will evaluate an expression when given values for the variables (substitution)

Let's see if you could help Postman Pil to deliver the letters without having them torn by Dougal
Click HERE for the key idea of the activity

Maths Common Test (3 May 2012, Thursday)

Time: 0800 - 0930h
Duration: 1 h 30 minutes
Calculator is allowed for this paper.

Topics to be tested:
1. Chap 1: Factors & Multiples
2. Chap 2: Real Numbers
3. Chap 3: Approximation & Estimation
4. Chap 4: Algebra (Pls note that this was missed out. Updated on 20 April)
5. Chap 16: Data Handling
6. Statistics (on top of Chap 16): Dot Diagrams, Stem-and-Leaf Diagrams, and Mean, Median, Mode

Revision Tips
  • Go through the worksheets & homework that were assigned
  • Read the textbooks
  • Practice questions in the Workbook
  • For problem sums, go through the variety of questions presented in the workbook
  • Ask your teacher to clarify doubts - in person or via electronic means (e.g. email, Facebook)
  • Do NOT leave your revision to last minute, as your 'helpline' may not be available at all times.
  • Remember - Maths is a subject that requires Practice! Reading through the notes or what you did is not good enough.

Level Test & Support Programme

Dear S1-04

A new copy of the ANSWERS have been uploaded into the GoogleSite (Maths > Class). Please go through the answers (as well as the explanation included) and do corrections.

Please complete the reflection to the questions that you have not attained full score.

As many of you had indicated that the paper was, after all, considered easy if you were allowed to use the calculator to attempt the paper.

On the other hand, in class, I've also shared with you the purpose of doing a non-calculator of the paper and the objective of the assessment.

That's why you are strongly advised to go complete the Reflection Sheet attached at the end of the test papers to think through and surface learning gaps so that you are more prepared for the upcoming Common Test.

Support Programme:
•[7] A Manicka Parveen
•[10] Chiam Chuen
•[22] Teng Chen Chang Gabriel
Please refer to the GoogleSite (Mathematics, Class Page) for more details

Algebra (I)

Through this topic, we will begin our journey to...

Understand that …
1. algebra involves using symbols to represent relationship
2. algebra is the link between abstract and concrete
3. arithmetic rules are adhered to in Algebra

Answer the following questions...
1. What is algebra?
2. What is the role of algebra?
3. How does algebra explain and predict relationships?
4. How can algebra translate the abstract to concrete and vice versa?




By the end of Chaper 4

You will be able to ...
- use symbols to represent unknown in relationships.
- express a relationship using symbols.

In the course of learning, we shall attempt to answer the following questions:
1. How can simple real world situations be transformed into algebraic terms?
2. What are the characteristics of the various forms of algebraic statements?
3. What inference can be made from any given algebraic statements? (expressions, equations, inequalities)?

The Mind Reader (2)





Guess what!? I could read your mind too!
Guess How I Do It!

The Mind Reader (1)






Could you UNCOVER THE MYSTERY behind the crystal ball?
(in the Algebraic way!)
Submit your explanation under comments...

Chapter 4: Algebra... Which is larger in magnitude?

Which is larger in magnitude?

5 + n or  5n

Explain your answer clearly with examples.

Enter your response in Comments.

This question is compulsory.

Chapter 4: Algebra... Which is larger?

Jennifer says, "5x2  is always smaller than  (-5x)2. "

Do you agree? Explain your answer. 
Enter your response in Comments.

This question is compulsory.

Chapter 4: Algebra... Help! What's Wrong?

Jane did the following:
  • 3a + b = 3ab
  • 2s + 4t = 6st
Do you think Jane is correct in her algebraic manipulations?
If yes, please write down examples to show that her answer is correct.

If not, explain to Jane her mistakes and help her to correct.

Enter your response in Comments.

Chapter 4: From Numbers to Algebra...

Chap 16 (Class Activity) Discrete Data in Freqency Table & Histogram

How much time did S1-04 sleep last night (9 April 2012)?

1. Everybody in the class contributed a raw data point.
(with the number of hours rounded off to the nearest whole number)



2. These raw data are organised in a Frequency Table

{To be updated}

3. This set of data is then represented in a histogram:

{To be updated}

Chap 16 (Class Activity) Continuous Data in Freqency Table & Histogram

How much time did S1-04 spend in Facebook on a weekend?

1. Everybody in the class contributed a raw data point.
(with the number of hours rounded off to one decimal place)

2. The raw data are organised in a Frequency Table
{to be updated}

3. The Histogram

Chap 16 Frequency Table - What can we gather from this data?

After one term, the canteen vendor that sells snacks decides to collect some data that would help them in the planning of resources during the term.

Here's the set of data gathered:

Chicken pies bought per person

1

2

3

4

5

6

7

Number of people

1

15

9

4

6

3

2


Make an attempt to figure out what information can be "drawn" from this set of data gathered.
Put down at least 3 pieces of information you can draw out from the above table.

Chap 16 Data Handling: Mean, Median & Mode

Measures of Central Tendency or Averages

Arithmetic Mean
  • The arithmetic mean of a set of numbers is the sum of numbers divided by the number of numbers in the set : Mean = sum of the numbers/number of numbers
  • It is most the reliable measure provided there are no extreme values in the data because all the values in the data are used in calculating.
  • Whenever the set of data contains extreme values, the median or mode would probably be more reliable because they are not influenced by extreme values.
Mode
  • The number which occurs most frequently in a set of numbers
  • It is most useful in business planning as a measure of popularity that reflects central tendency or opinion.
Median
  • May be preferred as a measure of central tendency for describing economic, sociological and educational data.
  • The median is popular in the study of social sciences because much of the data in the social sciences contain extreme values, in the set of household incomes.
  • Median for an odd number of numbers is the middle number when the numbers are arranged in order of magnitude (i.e. ascending/descending order)
  • Median for an even number of numbers is the mean of the two middle numbers when the numbers are arranged in order of magnitude

Chap 16 Data Handling: Histograms - Let's interpret (1)


Complete this task as your daily exercise

Chap 16 Summary of Data Collection and Different Kinds of Graphical Representations

The materials in the BBC Skillwise & GCSE Bitesize websites summarise what we have learnt in Chapter 16 so far:

Data Handling
Graphical Representation
1. Graphs and Charts:
  • The 5 Factsheets provides examples and tips on the use the each type of graphs
  • Practise and Review your understanding with the worksheets
2. Pie Charts and Frequency Diagrams (Revise, Activity, Review)

3. Try this Game! Bugs in the SystemThe materials in the BBC Skillwise & GCSE Bitesize websites summarise what we have learnt in Chapter 16 so far:

Data Handling
Graphical Representation
1. Graphs and Charts:
  • The 5 Factsheets provides examples and tips on the use the each type of graphs
  • Practise and Review your understanding with the worksheets
2. Pie Charts and Frequency Diagrams (Revise, Activity, Review)

3. Try this Game! Bugs in the System

Chap 3 Approximation & Estimation ANSWERS to worksheets & homework

You may refer this as a resource for your revision and preparation for the upcoming Level Test:
Chapter 3 Approximation and Estimation

Click at the above links to access the answers.

The above links are also available at your class page in the GoogleSite.

Chap 2 Real Numbers - Formative Assessment ANSWERS

Please click HERE to view the worked solution of Chapter 2's Formative Assessment.
  • Pay attention to the way the working is presented
  • Look at the remarks to each question - those are some things to look out for when answering to the questions

This is also available at the GoogleSite > 03 Mathematics > Class Page