**interior angle**and

**exterior angle?**

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Reference: Study Notes (p12)

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

What general formula can you conclude from the above - to find

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]**

Attempt this quiz to check well well you know these quadrilaterals

http://www.onlinemathlearning.com/quadrilateral-properties.html

*More about diagonals:*

http://www.onlinemathlearning.com/quadrilateral-properties.html

A **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.

(source: http://en.wikipedia.org/wiki/Diagonal)

Read more about

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.*

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

__Homework__ - after going through the above, attempt the 1st sheet of homework (Unit 13.1 Basic Geometry)

Preparation for the next lesson:

@GoogleSite

- Introduction: The Geometry and Art of Architecture
- Note that there's a G+ activity at the end of this page
- 1. Line Segment
- 2. Angles and Angle Properties

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.

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.

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?

Study Notes (p19): Challenge (Tier C)

Here are some additional information on the discussion:

Here are some additional information on the discussion:

- Lightning Safety during Outdoor Sports
- Facts about Lightning - Safety Tips for the Mariner [Fact Sheet]

Which media does sound travel fastest in?

- Vacuum? Air? Water? Solid?

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....)

This would be a good strategy, especially

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....)

Homework - for tomorrow's discussion:

Study notes: p5 to p9

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)

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:**

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

2 | KAY SANDY MAUNG |

3 | OON CHWEN YUEH, CELEST |

4 | WOON YOKE XUAN |

5 | CHRISTOPHER YONG WEI JIE |

12 | JUSTIN LIM |

21 | TEE HAO WEI, OWEN |

3. The median of a set of numbers is 4.5. Given that seven of the numbers are 9, 2, 3, 4, 12, 13 and 1, find the eighth number.

Let*a* be the unknown eighth number.

__Numbers in ascending order__

1, 2, 3, 4, 9, 12, 13

4 is the median of the seven numbers.

4.5 =__4 + __*a*

2

4.5 x 2 = 4 +*a*

9 = 4 +*a*

*a* = 5

The eighth number is 5.

__ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ __

4. A box contained five cards numbered 1, 2, 3, 4 and 5. A card was drawn from the box, its number noted and then replaced. The process was repeated 100 times and the table below shows the resulting frequency distribution.

Numbers 1 2 3 4 5

Frequency 21*x* *y* 18 17

(a) Show that*x* + *y* = 44

(b) If the mean of the distribution is 2.9, show that 2*x* + 3*y* = 112

(c) Find the value of*x* and *y*

(d) State the mode and the median of the distribution.

a)

The total frequency is 100 as the process was repeated 100 times.

100 = 21 + 18 + 17 +*x* + *y*

100 = 56 +*x* + *y*

44 =*x* + *y*

b)

2.9 x 100 = 290

21 x 1 +*x* x 2 + *y *x 3 + 18 x 4 + 17 x 5 = 178 + 2*x *+ 3*y*

= 290

290 = 178 + 2*x* + 3*y*

112 = 2*x* + 3*y*

c)

Since 44 =*x* + *y* and 112 = 2*x* + 3*y*,

*y* = 112 - 44 x 2

= 112 - 88

= 24

*x *= 44 - 24

= 20

*x* = 20 and *y* = 24

d)

Numbers 1 2 3 4 5

Frequency 21 20 24 18 17

From this diagram we can tell that the mode is 3.

The median number will be the mean of the 50th and the 51st number.

Numbers which are 1 are the numbers from 1 to 21.

Numbers which are 2 are the numbers from 22 to 42.

Numbers which are 3 are the numbers from 43 to 66.

As 50 and 51 are in the range of numbers which are 3,

the median is 3.

Let

1, 2, 3, 4, 9, 12, 13

4 is the median of the seven numbers.

4.5 =

2

4.5 x 2 = 4 +

9 = 4 +

The eighth number is 5.

Numbers 1 2 3 4 5

Frequency 21

(a) Show that

(b) If the mean of the distribution is 2.9, show that 2

(c) Find the value of

(d) State the mode and the median of the distribution.

a)

The total frequency is 100 as the process was repeated 100 times.

100 = 21 + 18 + 17 +

100 = 56 +

44 =

b)

2.9 x 100 = 290

21 x 1 +

= 290

290 = 178 + 2

112 = 2

Since 44 =

= 112 - 88

= 24

= 20

d)

Numbers 1 2 3 4 5

Frequency 21 20 24 18 17

From this diagram we can tell that the mode is 3.

The median number will be the mean of the 50th and the 51st number.

Numbers which are 1 are the numbers from 1 to 21.

Numbers which are 2 are the numbers from 22 to 42.

Numbers which are 3 are the numbers from 43 to 66.

As 50 and 51 are in the range of numbers which are 3,

the median is 3.

Click HERE to view the Playlist that explains the solutions to the question by parts:

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.

For your reference.

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

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

Click HERE to access the spreadsheet for the questions.

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.

[Study Notes: p10]

Here's another way that a Frequency Table may look like:

This is how the histogram looks like

**Homework**

Here's another way that a Frequency Table may look like:

- Attempt Homework 6B
- 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

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__21__data points [absent: Elgin and Celest]

**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.

- Next, we will be
**representing data in a statistical representation**. In this case, we are using a**Histogram**

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.

Dear S1-02

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**

As spoken, we'll be having the

The schedule is as shown:

Please report to the

The following have yet submitted the self-directed learning Homework.

Please submit by Term 3 Week 2.

Please submit by Term 3 Week 2.

3 | OON CHWEN YUEH, CELEST |

4 | WOON YOKE XUAN |

6 | FYODOR LEE JUN DE |

7 | HONG DOMINIC |

10 | JOSHUA CHUA TZE ERN |

11 | JOSHUA YEW JEK YONG |

13 | KHOO BO SI |

14 | LEW JIAJUN Jerry |

20 | RICHMAN KUM CHO HOWE |

22 | WONG KANG |

Here's a summary of Linear Graphs

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

Dear S1-02

**(A) Linear Graphs**

In class, we had completed the discussion of 3 out of 4 questions in p29.

Complete Q3 on your own and watch the clip that's posted in an earlier post (click HERE) that explains how to approach and solve such problems.

In addition, go through the questions in p30 and answer the questions in the following blog posts:

**(B) Data Handling**

At the end of the lesson, you were given the set of Study Notes for "Data Handling".

Please do the necessary preparation (click HERE to read the instructions were in the earlier post below)

Complete the above tasks before we meet on next Tuesday.

In class, we had completed the discussion of 3 out of 4 questions in p29.

Complete Q3 on your own and watch the clip that's posted in an earlier post (click HERE) that explains how to approach and solve such problems.

In addition, go through the questions in p30 and answer the questions in the following blog posts:

At the end of the lesson, you were given the set of Study Notes for "Data Handling".

Please do the necessary preparation (click HERE to read the instructions were in the earlier post below)

Complete the above tasks before we meet on next Tuesday.

Please refer to your study notes (p3 to p5).

The materials (including relevant video clips) for the activities in this lesson are posted in the GoogleSite > Mathematics [click to access the page directly].

We will be discussing Activities 1, 2 & 3 in the next lesson.

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.

Key in your responses in "Comments".

Remember to enter your group number.

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.

Remember to enter your group number.

Dear S1-02

As spoken on Monday, we will have an extended lesson next Tuesday (8 July 2014), from**2 pm to 3 pm**.

Venue: S1-02 classroom.

All students are required to attend the lesson as new content/materials will be delivered during the lesson.

As spoken on Monday, we will have an extended lesson next Tuesday (8 July 2014), from

Venue: S1-02 classroom.

All students are required to attend the lesson as new content/materials will be delivered during the lesson.

1. Watch the following video clips (there are 4 altogether).

2. Make reference to the Study Notes, p28 to complete the exercise.

You have to complete the 4 questions in p28 in preparation for the Discussion & Quiz in the next lesson.

2. Make reference to the Study Notes, p28 to complete the exercise.

You have to complete the 4 questions in p28 in preparation for the Discussion & Quiz in the next lesson.

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"?

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

Can you tell the equation of the "reflection"?

This is one possibility: when the mirror line is the

Can you tell the equation of the "reflection"?

We spoke about gradient of slopes in the class... now, look at the photo - are you able to tell (roughly) how steep the staircase is?

*Photo: Bergen in Norway*

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