Click HERE to access the 6 AM Quiz

<click HERE to see the responses>

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- Mathematical Framework
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- To do well...
- Scheme of Work
- Assessment
- ICT in action
- I have a question...
- Resource: Unit 2 Real Numbers
- Resource: Unit 3 Significant Figures
- Resource: Unit 4 Algebra (1)
- Resource: Unit 4 Algebra (2)
- Resource: Unit 4 Algebra (3)
- Fun with Construction

Today, the lesson focused on deepening our understanding of median and mode through finding unknown values (of *x*). This is followed by a short discussion on Dot Diagram.

In the next lesson, we will move into stem-and-leaf diagram.

1.**Self-Practice: Algebra** - Factorisation Worksheet 1, 2 and 3

As promised, suggested answers have been uploaded to the GoogleSite

2.**Practise** Construction & Graphs (on your own) - you may refer to your textbook and workbook for questions

3.** 6 AM Quiz** is making a come-back this Saturday (starting from August).

4.**Assignment 10.3**

Deadline: 7 August 2017 (Monday)

5. Attempt the task in the next Blog Post (last date for submission: 12 August)

**Google Classroom** - 3 Questions

Attempt the questions if you have not done so (deadline: 3 August 2017, Thursday)

7.** Stem-and-Leaf Diagram**

For those who owe homework, you need to clear the items as soon as possible as the accumulated tasks/ assignments are snowballing in an alarming rate.

In the next lesson, we will move into stem-and-leaf diagram.

1.

As promised, suggested answers have been uploaded to the GoogleSite

2.

3.

4.

Deadline: 7 August 2017 (Monday)

5. Attempt the task in the next Blog Post (last date for submission: 12 August)

**Data Handling: How are data communicated in Real World?**- This is the opportunity to earn as much points for your group as possible through practice and making connection to real world :)

Attempt the questions if you have not done so (deadline: 3 August 2017, Thursday)

7.

- Diagnostic Quiz on Stem-and-Leaf Diagram
- This is another opportunity to earn as much points for your group as possible through practice and making connection to real world :)
- Complete before Monday
*arrives*.

For those who owe homework, you need to clear the items as soon as possible as the accumulated tasks/ assignments are snowballing in an alarming rate.

Statistical representations are widely used to 'simplify' or 'summarise' data when presented along with reports.

An example is the a recent report on the "Alarming rise in losses on consumer prepayments" (Straits Times, 1 August 2017). Look at the bar chart presented. Did you notice how huge amounts is presented on the vertical axis?

In these two weeks (3 to 12 August), you shall look out for examples of charts used in reports any of the following and share with the class how charts are used in our daily life.

It would be even better if you could spot charts do not present the data appropriately or are misleading; and tell us why it's not appropriate or misleading.

Any duplicated charts, regards who posted it first will not be counted in group points.

How points are awarded:

An example is the a recent report on the "Alarming rise in losses on consumer prepayments" (Straits Times, 1 August 2017). Look at the bar chart presented. Did you notice how huge amounts is presented on the vertical axis?

In these two weeks (3 to 12 August), you shall look out for examples of charts used in reports any of the following and share with the class how charts are used in our daily life.

It would be even better if you could spot charts do not present the data appropriately or are misleading; and tell us why it's not appropriate or misleading.

Any duplicated charts, regards who posted it first will not be counted in group points.

How points are awarded:

- Chart: Appropriate OR Misleading [1 pt];
- Description of what chart attempts to communicate [1 pt];
- If it is a misleading chart - elaborate why it is misleading [1 pt]
- Acknowledge source (URL of source) [1 pt]

Refer to the following posts for lessons conducted this week (Key Focus: Data Handling)

**Things to complete - Compulsory**

1. 2015 Level Test 2 Revision (Deadline: 31 July 2017)

2. Maths Blog activities (Deadline: 28 July 2017)

1. 2015 Level Test 2 Revision (Deadline: 31 July 2017)

2. Maths Blog activities (Deadline: 28 July 2017)

- [Homework 1] Quizzes: Bar Graph vs Histogram..... Dot Diagram
- 2 GoogleForms: Quiz 1, Quiz 2
- [Homework 2] Reporting Data in an Appropriate & Objective Manner
- 2 Padlets: Task 1, Task 2

3. Google Classroom

- Task 1: Data Handling (Deadline: 28 July)

We looked at a few examples that illustrate how data, when not presented partially or appropriately might lead to strong reactions from the reader.

**Discussion 1: **Is the difference of the rate really that 'great'?

Source: The Straits Times (26 July 2017)

**Discussion 2: **

1. What was the message the charge trying to convey?

2. What was misleading about the chart?

3. What could be done to make the information presented more objectively and appropriate?

Study Notes (p24) Misleading Information in Statistics

Note: You should have recorded your responses to the three questions in your study notes.

Task 1 (to be completed by Friday, 25 July)

Study Notes (p24)

Task 2 (to be completed by Friday, 25 July)

Study Notes (p25)

Click HERE to open the padlet

Source: The Straits Times (26 July 2017)

1. What was the message the charge trying to convey?

2. What was misleading about the chart?

3. What could be done to make the information presented more objectively and appropriate?

Study Notes (p24) Misleading Information in Statistics

Note: You should have recorded your responses to the three questions in your study notes.

Task 1 (to be completed by Friday, 25 July)

Study Notes (p24)

Click HERE to open the padlet

Task 2 (to be completed by Friday, 25 July)

Study Notes (p25)

Click HERE to open the padlet

Today, we went through the various stages of Data Handling.

The slides presented an summary.

Click HERE for the slides.

The slides presented an summary.

Click HERE for the slides.

Below is an example on how data is gathered among 10 countries, when recommendations are made to based on the trends surfaced over time.

**Influenza seasonality and vaccination timing **in tropical and subtropical areas of southern and south-eastern Asia

This is a screenshot of the data presented for Singapore and three other ASEAN countries.

This is a screenshot of the data presented for Singapore and three other ASEAN countries.

Click HERE to view the discussion (to revisit MEAN, MEDIAN, MODE) we had in March.

During the lesson, we discussed

(1) How the

If the new data point contributes "9 doors" to the collection, the updated frequency table will become:

Now, the median would be refer to the number of chairs the 'middle' person (i.e. the 13th person)

= 9 doors

(B) How the OUTLIER would affect the

Report by Straits Times on 25 July 2017 (Tuesday):

**SMS usage falls amid rise of chat apps, soft tokens**

*Source of image (above website)*

Study the chart carefully.

What does the line graph "tell" us about the use of SMS in Singapore?

Study the chart carefully.

What does the line graph "tell" us about the use of SMS in Singapore?

- Are you able to "guess" the "ups" and "downs" (i.e. the trends) illustrated in the line graph - before reading the article?
- Can you infer what has happened over the technology landscape in Singapore the years?

Today's lesson focused on 'understanding' the relationship between a given equation and the graph through the blog activities (below).

**To attempt Class Work 1 (Tier B) - and post your answers (b) & (c) in Google Classroom - to be completed by Wednesday (19 July 2017)**

**Homework - to be submitted on Thursday (20 July 2017)**

What's new today?

Sketching of Graphs

We only went through p23 very quickly.

1. Watch the two video clips in the next post

2. Look out for the steps to find the information (i.e. the x and y-intercepts) that would enable us to sketch a graph.

3. Then attempt (b) and (c)

Assignment 9.5

Demonstration on Part (a) y = 2x + 3

Demonstration on Part (d) 0.5x - y = 2.5

Demonstration on Part (d) 0.5x - y = 2.5

1. Examine the 3 workings and identify which is the correct working.

2. Are you able to tell what goes wrong in each of the two other working.

Key items covered today:
**Homework**

**Graph Plotting**: Study Notes (p10)- Discussion includes
- How to obtain values of x in the table for plotting
- Description of the two linear graphs plotted
- Submission of Activity 1 on pre-printed grid paper
- Graph Plotting - to be submitted in Google Classroom: Study Notes (p11)
- To be submitted in Google Classroom by today (13 July 2017)
- Both Class Work 1 and Class Work 2
- For each task, 2 photos: The graph and the 'sub-questions'

**Behaviour of Graphs**- Through Activity 1 (p12), we discussed the behaviour of "c" when "m" is constant
- Concluding discussion:
- Question: Are these 2 graphs parallel? and Why?
- Graph A: y = 4x
- Graph B: 4y = 20x + 16

- To be completed by next Monday 17 July 2017:
- Assignment 9.3 - to be submitted
- Study Notes - attempt on your own up to p22 (for discussion on Monday)

Let's assess this graph and point out what are the missing/ redundant components in this graph.

**On your own.... List them in points under comments.**

For clarity in illustration, ink is used in this 'demonstration'.

You should use a sharp**pencil**, and ruler to plot your graph. Always get ready an eraser to clean off any irrelevant markings.

**Step 1: How do we decide where to place the axes?**

**Step 2: Scale matters!**

**Step 3: Let's start plotting!**

You should use a sharp

- Do you "know" the graph paper?
- What would you make reference to?

- The numbers on the axes must be clearly marked.
- The scale should be written on the top right corner of the graph paper.

- Mark the points clearly with "X"
- Join the points with a straight line (use a long ruler!)
- The line should be drawn within the given domain

Below are the charts presented by the groups:

Which graph do you think represents the given scenario best?

Click

Today, we discussed the following:

- Indiana Jones' Problem
- With the table of values, we found the relationship between the height of the position of the temple and time

- What is an independent variable and what is a dependent variable

- Assignment 9.1 Question 3
- The key is to read the diagram carefully: Area of the first square is 2 square unit

- Study Notes (p3) Activity 1
- Area of Trapezium (Click HERE to see how to derive the formula)
- Study Notes (p3) Activity 2
- Study Notes (p4) Activity 3
- Study Notes (p4) Activity 4

- Study Notes (p6) Example 2
- The key discussion point is part (c): the
**context**determines to what extent the graph is valid.

- Study Notes (p7) Activity 1 Question 3
- For discussion in next lesson

- Preparation
- Bring graph paper, long ruler and sharp pencil for next lesson

On Thursday's lesson, we started the topic, **Functions and Linear Graphs** and the key points were

- Knowing the "nomenclature" of the Cartesian Plane
- Being PRECISE: horizontal, vertical, rows, columns, x-y axes, intercepts, gradient
- Word Search Activity; Study Notes
**Gradient**: What is it? How to describe gradient? How gradient is calculated (linking it to Physics & Geography)- Discussion of selected questions in the Diagnostic Test handout
- Knowing the "parts": Y =
**m**X +**c** - Introduction of
**Relationships**through "Jack & the Bean Stalk" & "Indiana Jones"

- Activity 2: Question 2 - Indiana Jones (Refer to Handout)
- Assignment 9.1 (Refer to Handout)
- [Homework] When Little Red Riding Hood meets Wolfie!
- [Homework] Lines tell Stories

Getting Ready for next lesson (Flipped activity)

- [Flipped Activity] Getting Ready for Next Lesson
- [Flipped Activity] Introduction to Graphs
- Activity 1: Getting the most with straight lines - Welcome to Line Gem 1
- Activity 2: Applying Linear Equations - Save the Zogs
- Watch Youtube clip: Linear Graph: Summary

Read up Study Notes p5 to p9 - attempt the activities.

Watch the collection of videos (below) - It is critical to**know** **the Graph Paper** and **know how to draw/ plot **on the graph paper well

Watch the collection of videos (below) - It is critical to

Attempt this section before the next lesson

Activity 1: Getting the most with straight lines

Click HERE to access game

The diagram shows a distance-time graph.

Study the graph carefully, paying attention to the slopes (i.e. the speed), the pauses, the time taken and the distance.

**It should include information like where they begin their journey.****It should also take into account the distance they travel, the speed they travel at, what happened during the pauses, etc.**

Reference: Handout - Fun with Construction (activity carried out on 29 June 2017, Thursday) (p2)

*Construction of Parallel lines*

*Paul's method (by Hafiz)*

*Pauline's method (by Ethan)*

Other methods to draw/ construct parallel lines; however, might be difficult when need to draw/ construct two parallel lines when given a specific distance between the two lines.

*By Yi Ming - construction of two equilateral triangles*

*By Christabel - construction of 2 perpendicular lines*

*How do we verify if two lines are parallel?*

Method 1 (by Christabel)

Method 2 (by Annie)

Other methods to draw/ construct parallel lines; however, might be difficult when need to draw/ construct two parallel lines when given a specific distance between the two lines.

Method 1 (by Christabel)

Method 2 (by Annie)

Spot the difference!

Examine the diagrams below carefully.

Click HERE to view the Step-by-Step Guide to construct the diagram.

Examine the diagrams carefully.

**Diagram 3 scores 7 out of 7 marks**

**Diagram 4 scores 5 out of 7 marks. Why?**

**While the following diagram has met all the requirements, it is not acceptable. **
**Why?**

Click HERE to view the step-by-step guide to construct the diagram.

Click HERE to view the step-by-step guide to construct the diagram.

Task to be completed by next **Monday (3 July 2017, 12 noon). **

The location of the houses of three friends, Antonio, Benedict and Celine happened to form an**equilateral triangle**. They meet quite often to catch up with each other; however, none of them want to invite their friends home.** To be fair, they decided to meet at a place that is most 'central' to all.**

Point to ponder...

*Note: There is a typo-error in the above diagram, it should be "Benedict"*

Your Task:

Assume that each house is 8 km from the two other houses.

(i.e. the length of the equilateral triangle is 8 km).

Taking the scale, 1 cm to represent 1 km, construct the equilateral triangle on a sheet of paper.

On this diagram, construct the relevant "some lines" to help you find the centre meeting point.

*Hint: *Perpendicular Bisectors, Angle Bisectors

Take a photo of your diagram (make sure it is clearly labelled) and post it in the padlet.

Direct LINK to access the padlet.

The location of the houses of three friends, Antonio, Benedict and Celine happened to form an

- What would you suggest?
- How would you do it if you have their houses marked on a map already?

Your Task:

Assume that each house is 8 km from the two other houses.

(i.e. the length of the equilateral triangle is 8 km).

Taking the scale, 1 cm to represent 1 km, construct the equilateral triangle on a sheet of paper.

On this diagram, construct the relevant "some lines" to help you find the centre meeting point.

Take a photo of your diagram (make sure it is clearly labelled) and post it in the padlet.

Direct LINK to access the padlet.

Task to be completed by next **Monday (3 July 2017, 12 noon). **

__Additional Information__:

Shortest distance between Grandma's house (G) and her house (H) is 10 km.

Draw a straight line on a plain paper with the scale, 1 cm to represent 1 km.

From there, construct the suggested path.

Take a photo of the constructed diagram and post it in the padlet below:

Direct LINK to the padlet.

Shortest distance between Grandma's house (G) and her house (H) is 10 km.

Draw a straight line on a plain paper with the scale, 1 cm to represent 1 km.

From there, construct the suggested path.

Take a photo of the constructed diagram and post it in the padlet below:

Direct LINK to the padlet.

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