Thursday, 31 July 2014

Interior angle & Exterior angle - They operate in PAIRS!

What's the relationship between interior angle and exterior angle?



Sum of Interior Angles of a Polygon

Reference: Study Notes (p12)


What general formula can you conclude from the above - to find sum of interior angles of a n-gon ?

Exploration: Sum of Exterior Angles of a Polygon

Reference: Study Notes (p12): On the given handout...





Post lesson discussion - after the "cutting"/ "tearing" exercise:

Sum of Exterior angles of a Polygon = 360 degrees [sum of angles at a point]


Polygons: A summary of Quadrilaterals

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.

Wednesday, 30 July 2014

Revision Papers for Level Test 2 - MGS papers

Please note that the following have been uploaded to the GoogleSite - for your reference & practice:
GoogleSite > Mathematics > Class page > Folder: 02 Revision


Note that we will not be printing this revision paper for you.

Polygons: Who am I?



Click HERE to view the responses

Tuesday, 29 July 2014

Basic Geometry: An Introduction

Today, we started the topic by understanding the vocabulary of Geometry - some commonly used words related to the topic and what they mean.

Preparation for the next lesson:

@GoogleSite
Homework - after going through the above, attempt the 1st sheet of homework (Unit 13.1 Basic Geometry)
Do on this sheet of paper, at the spaces available. 

For Q5, 
  • Form an equation with the unknowns and the given angles
  • remember to write down the reasons
  • Refer to the lesson in GoogleSite on how to present the working properly.

Saturday, 26 July 2014

[Some Tips] Presentation of Working for Word Problems

As iterated in class (many times), it is important for us to present our working clearly so that whoever reading your working (and answers) is able to understand your train of thoughts. In addition, proper working presentation is also a demonstration of your understanding of concepts.

Below is a guide (by Mr Desmond Peh) on how you should present your working, especially when answering to word problems.

  • By the way, can you spot one part of the working that could be further improved?






Thursday, 24 July 2014

Speed: The Science of Lightning

Study Notes (p19): Challenge (Tier C)

Here are some additional information on the discussion:

Which media does sound travel fastest in?
  • Vacuum? Air? Water? Solid?

Wednesday, 23 July 2014

Rate - Class Work 4 (Tier C) Q15

This was the working presented by Prateek (Gruop 4)

Point to Ponder: Do you know the assumption he made when he worked out the interest?
The Question is: Does the answer applies to if the duration is extended to 5 or 10 years?



Now, if you work with the unknown (i.e. using Algebra), when the computation takes into consideration any duration (i.e. T)





Tuesday, 22 July 2014

Ratio: Study Notes Q16 Suggested Answer

Please see below, the suggested way of solving the problem (using algebra, right from the start).
This would be a good strategy, especially if you are required to SHOW the answer is 40/89

While by substituting numbers work (as most of you have attempted in that manner), you would notice that you could substitute different sets of numbers in the expression, and yet you still get 40/89; then how would you explain that?
(there's where algebra comes in to help generalise their explanation....)






Ratio:Q16(p8)byGroup4


Ratio: Q16 (p8) by Group


Question 16 Page 8 by Group 3


Ans for Question 16 of Ratio notes - Group 1


Monday, 21 July 2014

Ratio - Pathologists and Ratios

Study Notes (p3)




Click HERE to view the data submitted.

What pattern did you observed amongst the ratios computed?

For those who are interested to find out more, HERE's a thesis paper on "The Foot Length to Stature Ratio: A Study of Racial Variance" (1990)

Ratio: Homework

Homework - for tomorrow's discussion:
Study notes: p5 to p9
  • Class Work 1 (Tier A)
  • Class Work 2 (Tier B)
  • Class Work 3 (Tier B)
  • Class Work 4 (Tier C)

Sunday, 20 July 2014

Summative Assessment: Percentages

Re: Reschedule of assessment for those who are unable to turn up on 18 July (1.30 pm)

Hi Everybody

As you did not turn up for the summative assessment on Friday 1.30 pm (for various reasons),  I've re-scheduled you to take the assessment on
Day/ Date: MONDAY 21 July
Time: 3 pm
Venue: S1-01 classroom

Remember to bring along your calculator.
The maximum duration of the paper is about 30 minutes.
You may leave immediately when you finish the paper.

With regards
Ms Loh

Who needed to attend:
5NISHTHA GUPTA
10JOHAN SOO
11JOSHUA WEE YU SHUEN
12KAUNG HTET WAI YAN
19TEO MING RUI XAVIEN
23YAP CLEMENT
24WEE WEI SAN JUSTIN*




Thursday, 17 July 2014

Wednesday, 16 July 2014

Direct Proportion: Homework

Refer to the set of Homework issued.

Attempt the 1st sheet only (with 2 pages) - on Direct Proportion.
Remember to present your working clearly, stating the relationship, followed by the equation (with k as the constant).

To be completed and submitted in the next lesson.

Introduction: Direct Proportion vis Inverse Proportion

During the lesson, as an introduction, you were asked to enter 2 groups of equations into "Grapher" to observe the characteristics of each group of graphs, i.e. similarities (within the group of lines) and differences (between the lines in Groups 1 & 2).

Here are the 2 groups of equations:
Group 1: Equations that demonstrate direct proportion
Group 2: Equations that demonstrate inverse proportion


Group 1 graphs look like this:


Group 2 graphs look like this:


Direct Proportion: Quick Check

You may click HERE to access the Form or attempt the questions in the embedded form below
 

Click HERE to view your responses

As discussed in class, here's how the working to the questions to be presented:




Monday, 14 July 2014

Sunday, 13 July 2014

Data Handling HW6B: Question 2

Here the two versions of Frequency Table & Histogram presented by some of you.
For your reference.

Version 1



Version 2






You may click HERE to view the spreadsheet on how to calculate the frequency within the range.

Wednesday, 9 July 2014

Spreadsheet functions for Mean, Median, Mode

[Study Notes Class Work Tier A Q2 & Q3 (p18)]

Click HERE to access the spreadsheet for the questions.
  • You will not be able to edit this file.
  • Go to FILE > MAKE A COPY to save a copy of the spreadsheet into your GoogleDrive.
  • Rename it as "Data Handling (Study Notes) P18Q2Q3".
  • You are going to apply a few functions that would aid you to compute the mean, median and mode.

Frequency Table & Histogram

[Study Notes: p10]
Here's another way that a Frequency Table may look like:


This is how the histogram looks like




Homework
  • Preparation for next lesson's discussion: Mean, Median, Mode
    • p16-p17: Read through what Mean, Median, Mode are
    • p17-p19: Attempt Tier A (Q1 to Q3) and Tier B (Q1 & Q2) questions

Tuesday, 8 July 2014

Data Handling: Frequency Table and Histogram

During the lesson, we did the following:

  • Data Gathering - when we collected data from each and everyone who's present in the class. Today, we have 20 data points [absent: Jaishree, Min Quan & Prateek]
  • Tabulation of Data - we organised the raw data in a frequency table as shown on the board. 
    • Note 1: To account for every data point, we 'cancel' off the data point once we noted them in the table.
    • Note 2: We add up the numbers in the "Frequency" row to check if it tallies with the total number of data points.

  • What you need to do at home: Draw the histogram in the space provided; we'll check the next lesson.
  • Indeed, this is about Representing data in a statistical representation. In this case, we are using a Histogram

  • Homework 6B: Do Question 1 only.


Monday, 7 July 2014

IMPORTANT DATES: Assessment Matters

Dear S1-01

As spoken, we'll be having the Summative Assessments after school these 2 weeks.

The schedule is as shown:


Please report to the Seminar Room (Block C, Level 3, opposite SST Inc) at 1.20 pm to get ready.

Muslim boys from S1-04 will report at 2.15 pm to the Info Hub.

For more information, please refer to the calendar invite.

Alternative Assessment/ Performance Task

21 - 25 July


Level Test 2



End-of-Year Examination




Sunday, 6 July 2014

Self-Directed Learning: PERCENTAGES - Homework Submission

The following have yet submitted the self-directed learning Homework.
Please submit by Term 3 Week 2.

2BISWAKARMA JAISHREE
17SIDDHARTHA JARUHAR
23YAP CLEMENT
24WEE WEI SAN JUSTIN*


Linear Graphs - Determine Equation

Here's a summary of Linear Graphs


Here's how you could solve the 4 problems in p29 (Study Notes): [Playlist - 4 clips]

Friday, 4 July 2014

Summative Assessment for Linear Graphs

Dear S1-01

In preparation of the Summative Assessment for Linear Graphs, a set of worksheets have been issued to you today (i.e. Homework 8C) - to practice plotting of Graphs.

Complete the tasks and submit it by next Tuesday.


Summative Assessment: Next Week - look out for the date, time and venue by next Monday.

Thursday, 3 July 2014

(Homework) Data Handling - Preparation for next lesson

Dear S1-01

There are 3 pieces of tasks to be completed in the next couple of days before we meet again on next Tuesday.

1. Homework 6A - to be handed in on next Tuesday (8 July)

2. Go through p6 and p7 of the Study Notes and attempt those questions.
Be prepared for discussions - in particular,

  • the difference between bar Graph & Histogram
  • how to read a frequency table
3. Attempt the Activity: S1 (2014) Statistics Around Us in the GoogleSite > Maths
Click HERE for the direct link.
You will enter your responses into the GoogleForm at the end of the page.
Alternatively, you can also click HERE to access the form.




Data Handling: Introduction

Data Handling 6.1 Activity 1 (p3-p4) [5 min]

With reference to your study notes (p3-p4),


Four statistical representations (Pictograms, Bar Graphs, Pie Charts, Line Graphs) are used to represent a given set of data.

Describe, based on your observation and understanding,

  • how each of these representations look like; what are the characteristics of these representations
  • how is information represented in these representations; and what kind of information can you draw out from such representations. 

What are you going to do?
As a group, you are going to 'divide and conquer'.
There are 4 tabs to the spreadsheet. Assign a member to take charge of each type of graph to key in the responses. Be careful not to overwrite each others' entry.
Do not click "undo" button.

Click HERE to access the worksheet

Data Handling 6.1 Activity 2 (p4)

The following diagrams are obtained from the interactive tool (in AceLearning portal):


Among the 4 graphs (Line Graph, Bar Graphs, Pictograms, Pie Charts), one of the graphs is NOT appropriate to represent the information.
·       Can you identify the one that is not appropriate?
·       Why do you think it's not appropriate?

·       What makes you think the 3 remaining graphs are appropriate?

Enter your response in the blog comments, remember to include your group at the end of your posting.






Wednesday, 2 July 2014

Homework: Study Notes (p30) Discussion 1

How would you determine if the points A (2, -5) and B (5, 2) lie on the straight line y = 3x - 5?

Key in your responses in "Comments".
Remember to enter your group number.

Homework: Study Notes (p30) Discussion 2

Describe the various ways that we can use to find out if 3 given points lie on the same straight line.

Key in your responses in "Comments".
Remember to enter your group number.

Discusion: HW8E Question 3

In the following question,



we received the following "answers"
(Ans #1) y = x + 4
(Ans #2) x = 0

Would you accept the above answers (Ans #1 , Ans #2)


Discusion: HW8E Question 4

In the following question, one important consideration is the "mirror" line.
Where do you think the mirror lines going to be? How many mirror lines are there altogether.

Strategy: Sketch the graph on the paper and figure out.



This is one possibility: when the mirror line is the y-axis.
Can you tell the equation of the "reflection"?




This is one possibility: when the mirror line is the x-axis.
Can you tell the equation of the "reflection"?








(Flipped Learning) Sketching of Graph - Followed-up Activity

Some key points, discussed, when we sketch a graph, we should have the following clearly indicated on the sketch
  • x-intercept (i.e. when y = 0)
  • y-intercept (i.e. when x = 0)
  • origin, O
  • x and y axis
  • equation of the line (i.e. we must remember to label the line)
Refer to the Activity Handout that we did in class. 
For Question 3 (Tier C), click HERE to see how we could approach the question.