Planning Forward...

Dear S1-02

Some of you asked what topics would be covered in Sec 2.
Using what we had in 2013 as a guide, below are the topics that would be included in 2014 (however, may not be in this sequence):
  • Algebraic Fractions and Change of Subject
    • This builds on what you learnt about solving equations - reorganising the terms 
  • Solving Quadratic Equations
    • This is a small extension from factorisation. You would have to factorise the "expression" first
  • Graphs of Quadratic Equation
    • This extends on the plotting of linear graphs. Now, you need to put in more points in order to plot the graph.
    • What you can try? Use Grapher to plot the graphs to observe how they look like, and link it to the previous topic, "Solving Quadratic Equations"
  • Simultaneous Equations
    • Solving two unknowns (at this level). 
    • What you can try? Use Grapher to plot the graphs to observe how the two equations "behave" and "explore" how we can obtain the answers (or solutions) to the two equations visually.
  • Pythagoras' Theorem and Mensuration
    • You have been introduced to Pythagoras' Theorem briefly when we did "Area and Perimeter" in Sec 1
  • Congruence and Similarity
  • Volume and Surface Area of Similar Figures
  • Trigonometry
    • This works with right-angled triangles. You would be introduced to "TAN" (tangent), "SIN" (sine) and "COS" (cosine) functions, and how these functions are related the right-angled triangles
  • Number sequence 
    • This builds on the topic we did in Sec 1
  • Mathematical Problem Solving
  • Indices and Standard Form
    • Relate this to the "Index Notation" and simple algebraic manipulation that were covered in Sec 1; you also came across this in Sec 1 Science
  • Set Language and Notation
  • Direct & Inverse Proportion
    • We did this topic in Sec 1, and direct proportion was tested. 
    • Inverse Proportion is delivered as the end-of-year flipped lesson, to be followed up in Sec 2
  • Kinematics
  • Probability
  • Percentages
    • This topic has been delivered and tested in Sec 1

Apart from the above, you can also refer to the Sec 2 Textbook - do check your booklist.
You can also access to the materials in the AceLearning for a self-preview :)

Group Score for 2nd semester

  • Group 1: 138 points (Winning Group)
  • Group 2: 108 points
  • Group 3: 105 points
  • Group 4: 100 points




Concluding Year 2013...

Dear S1-02

It has been a pleasure to be with you on your maiden learning journey in SST :)
The closure of this academic year would a good time for us to reflect and plan for the following year.

We would like to hear your experience as the feedback would be taken into account when we shape your learning experience, as well as your juniors'.


Preparation for next lesson

Dear S1-02

Please take a look at the following questions (and if you could, attempt them):

Q1:
If y is directly proportional to x and y = 8 and x = 5,
(a) find the equation connecting x and y
(b) sketch the graph representing the relationship
(c) find the value of y when x = 10

Q2:
The expenses, E, at a tea party, is directly proportional to the number of guests, N present. The expenses for 40 guests was found to be $320. Find
(a) the equation connecting E and N
(b) the expenses of 120 guests
(c) the number of guests if the expenses is $720
(d) the cost per person

Direct Proportion





Click HERE to view inputs from class

Revision for End-of-Year Exam (Maths)

Dear S1-02

With the end-of-year exam just a week away, most of you would have started revision.
We shall allocate at least one period (i.e. the last period to answer to enquiries).
To make the session really useful to you, we can do the following:

  1. Go through the Exam Preparation Booklet - in particular the past year Test/ Exam papers.
  2. Identify question(s) that you think would be helpful for class discussion.
  3. You can post the question in the "Comment" of this post (e.g. 2012 Sec 1 Level Test 3 Q1).
  4. I'll sort out the questions for discussion at the end of the week.

Pythagoras Theorem



  Source: http://www.youtube.com/watch?v=CAkMUdeB06o

Survey: Flipped Classroom

To-date, the following have responded to the survey.
Aung Phone Naing
Lee Jun Jie Cornelius
Maximilian Oh Yangzhi
Javier Ng
Christian Zheng Hao

The rest - Please complete by end of today (2013, Sep 23).
Click HERE to access the survey directly.

More about POLYGONS...

Below are examples of convex polygons - some are regular, some are non-regular.
Regular polygons are those with all sides of the same length, and all angles of the same size.

Do you think there is a 'maximum' number of sides that a polygon can have?
What happens if n becomes very very huge... how does the polygon look like?
Click HERE to explore :)

   


Source of images: http://www.mathopenref.com/polygonconvex.html

Polygons: Study Notes - Answers and Presentation

Dear S1-02

As discussed in class, you may click HERE to check the answers to the Class Work (in the Study Notes).

Pay attention to how the question is approached and the working is presented:
  • When reading the question, circle key words that will help you to decide which formula to use or  which type of angles need to be dealt with first.
  • It is always a good habit to begin the working with the formula that you are going to use. It helps you to focus on what you want to find.

Homework
Attempt the homework, and make reference to the above on how you should present your working.
Complete it for submission on next Monday 23 September 2013.

Note: Amendment to Q4(iii) It should be angle BCY instead of angle BYC


Polygons: A summary of Quadrilaterals

1. You may read more about the various types of quadrilaterals at
http://www.onlinemathlearning.com/quadrilateral-properties.html

2. Attempt this quiz to check well well you know these quadrilaterals
http://www.onlinemathlearning.com/quadrilateral-properties.html


More about diagonals:
diagonal is a line joining two nonconsecutive vertices of a polygon or polyhedron
(source: http://en.wikipedia.org/wiki/Diagonal)
Read more about diagonals at the source.

Polygons: Who am I?




Face-to-Face Consultation Sessions before EOY Exam

With the End-of-Year Exam commencing in Week 3, you should be moving into the revision mode. 
Consultation sessions will therefore kick in instead of the Support Programme these 2 weeks. 

You can see me for face-to-face consultation at the following timings in the school:
  • Friday (20 Sep) 12.45 pm to 2 pm
  • Tuesday (24 Sep) 2 pm to 4 pm
  • Thursday (26 Sep) 2 pm to 4 pm
  • Friday (27 Sep) 1 pm to 4 pm
In addition, from now until the Maths exam, you can also could reach me via various online channels (e.g. Email, Facebook, GChat/Hangout) if you need any help/ clarification of in work. 


Basic Geometry: Question 3

There are several ways to solve the problems. 
Below is one way. 
Compare this working with Javier's working. 
What difference do you notice?


Math Homework Question 3


Ans is (D)

Basic Geometry: Question 2


Basic Geometry: Question 1


One important point to note: 
While it is not written in the diagram, we assumed that BOC is a straight line.

Basic Geometry (2)

The following video clip suggested one way to find the unknowns in the diagram.
Look at how the problem is approached, and how the working (and reasons) are presented.

Do you have alternative means to solve the problem?

 

Basic Geometry (1)

Watch the following video clips before attempting the worksheet.
Look out for the presentation of working, and how the problem is approached.

Video 1

Video 2


Maths Q6


Number Pattern Question 4 ( Wynn - GP 1, Cornelius - GP 4 )


Number Pattern Question 4 by Javier Ng & Keagan Wong


Q3 Pasan and Mahidhar


Q5 Grp 2+3


Number pattern question 3


Number Pattern Question 2 (Joel(3),Phone Naing(1))


Number Pattern Exercise Handout Question 2 By Max (3) and Xavier (1)


Number pattern question 6 joshua Yue Sheng (2) (4)


Maths Number Pattern Excericise Q5


Number Patterns - Your Assigned Task

Go through the Handout (p1 & p2).
"Watch" how Question 1 is presented, pay attention to the working.

In pair, discuss how you would approach the question assigned.
Present your working clearly (using dark ink).
Take a picture of the solution and post it in the Maths blog.
Refer to the handout for "posting" instructions.

Number Patterns Question 1



(A) Generalising...


(B) Finding the 10th line...


(C) Finding the value of n...


(D) Calculating square of 199 using the pattern...




(On Your Own) Number Pattern Exercise: Extending Question 8



Click HERE to check your answers.
Note: As mentioned in class, there are several ways to get the answer. Your method might be shorter or different from what's being put up here.

Functions & Linear Graphs: Summary

Suggest what other information can we add to improve this summary sheet...

Summary done by Ryan Hong

Remedial Handout for Chap 8: Linear Equation of Graphs (Calculation) & Graphing

Dear S1-02

A handout, "Support Programme 2013 Term 3 Week 10" on Functions and Linear Graphs will be given to all.

What do you do with the handout:

Who needs to do and submit:
For those who scored less than 20 out of 25 marks of Homework 8D will have to complete this Handout and submit by Wednesday (4 September 2013) - in the "Class Tray" (that I'll place in the class to collect homework).
You are strongly encouraged to attempt the paper and see me to clarify your doubts before submitting te work on Wednesday.

Who need not to submit:
Those who submitted Homework 8D and scored 20 marks and above.

(Additional Practice) Linear Graphs Plotting

Some of you have expressed that you want to have more practice on Graph Plotting (for the topic: Functions and Linear Graphs), and you are not able to find such practice questions in the Exam Prep Booklet.

A handout has been created with 4 more questions.
You may use this as a practice.
They are available in the GoogleSite, under the class page:

Scroll down to the folder: 
 Chap 08 Functions and Linear Graphs

Then look for the file:
8 Functions and Linear Graphs - Additional Practice (Plotting of Graphs).pdf

The answers will be up on Monday/ Tuesday.


End-of-Year Exam: Mathematics


Things to bring:
  1. Calculator with approved sticker
  2. Construction set (which includes protractor and compass)
  3. Writing Materials (including sharp pencil, eraser and ruler)
Topics included:
1. Primes, HCF and LCM
2. Real numbers
3. Basic algebra and manipulation
4. Linear equations and inequalities
5. Factorisation 
6. Statistical Data Handling
7. Percentage
8. Rate, ratio and speed
9. Functions & Linear Graphs
10. Direct Proportion
11. Number patterns
12. Basic Geometry
13. Triangles, quadrilaterals and polygons
14. Geometrical Construction
15. Perimeter and area of plane figures
16. Estimation & Approximation

Linearly Challenged

Task: 
1. Name the equation of each line
2. Enter your answers in the form below


Drawing Linear Graphs: Class Work 1

Handouts p14: Look at the graph carefully.
Can you tell... What's missing from this graph?


Drawing Linear Graphs: Class Work 2

Handouts p14:
Read this graph carefully.
Are you able to identify the SCALE used in this graph?
Enter your response in the comments.


Understanding and Establishing Relationships

Handout p11: Activity 1

Can you tell what's missing in this graph?


Drawing Linear Graphs

Handouts p13: Activity 1

Spot the "error" in the following


What kind of Functions are they?

Example:

Source: http://scenariothinking.org/wiki/index.php/File:World-Population-Growth-2050.jpg


Example:
Source: http://www.files.chem.vt.edu/chem-ed/simulations/info-exponential-decays.html


Source: http://scec.usc.edu/internships/useit/eqbasicinfo

Example:
Source: http://www.taxisingapore.com/taxi-fare/

Example:
Source: http://www.singpost.com/send-documentparcel/postage-rates.html

Revision (1) Ratio, Rate & Speed (2) Data Handling

Please note that 2 Quizzes (from Ace Learning) have been assigned.
They serve as revision exercise for the upcoming level test.

You are strongly encouraged to revise your work (Notes) before attempting the questions.
Calculator is allowed. 


You could re-attempt the Quiz (if necessary) once after the first round. 
Your score will be consolidated and it will contribute to group point.
To qualify for group point, you have to attempt the quizzes before the Level Test.

Graph Mole

Read the "Introduction" to find out the context and the "how-to" of the game before "playing the game" to challenge yourself!
It's a "combination" of knowledge and speed! Enjoy!
Link: http://funbasedlearning.com/algebra/graphing/points/

Stock the Shelves!

Link: Stock the Shelves (http://www.mrnussbaum.com/stockshelves1.htm)

Homework Submission: Data Handling

Here's the status of submission up to 4 August 2013 (Sunday).
As your level test is around the corner, it would be advisable for you to submit the unmarked work by 7 August (Wednesday) in my pigeonhole before 12 noon.





An Introduction - Functions & Linear Graphs

Dear S1-02

This week, we are embarking on a new topic, Functions & Linear Graphs

Prior to the lesson, here are 2 games for you to 'warm up':

(A) Catch the Fly!

Click at the LINK to access the site:



(B) Catch the Cockroaches using ...
Click at the LINK to access the site.

Support Programme in Term 3

Please take note of the following schedule for Support Programme in Term 3


You will be provided with handouts for review and practice
  • Term 3 Week 5: Algebra - Expansion & Factorisation
  • Term 3 Week 6: Data Handling
  • Term 3 Week 7: Percentages, Rate, Ratio & Speed
For those who are not in the above list, you are welcome to join the class if you would like to use this session as a revision session for yourself.

Term 3 (1) Level Test 2 (2) Coverage for Term 3

Dear S1-02

This is a gentle reminder of the topics that will be tested in the Level Test as well as the list of topics that we will complete in Term 3.

Note that these information were posted in the GoogleSite > Maths announcement page.




Jarrel Tan (group 3)


This graph compares the educational attainment of our singapore residents non student aged 25 years and above in 2002 and 2012.The education attainment ranges from below secondary qualification up to university degree.

Resident Population by Keagan Wong

I can observe that the number of residents is increasing and it is jus a 2 years jump from 2010 to 2012.