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?