Link: http://hotmath.com/hotmath_help/games/ctf/ctf_hotmath.swf
Wednesday, 31 July 2013
Linear Graphs  VMC
THE VENDING MACHINE
The above shows a Vending Machine.
Basically there is an input and an output.
It is a one to one function.
1. What are the assumptions made in designing of the vending machine.
2. If a drink cost $1.50, draw a table of values to show number of bottles against cost.
in the following format
cost ($) number of bottles
x y
3. Using a piece of graph paper, plot the graph of number of bottles again cost ($).
That is vertical axis  number of bottles
horizontal axis  cost ($)
scale : vertical axis  2 cm  1 unit
horizontal axis 1 cm  $1
4. Record 3 observations that you obtained from the graph.
Linear Graphs
Analyse the following diagram  what do they have in common?
Post your responses as a comment.
diagram 1
diagram 2
diagram 3
Sunday, 28 July 2013
LINEAR GRAPHS  GRADIENT
Key Questions
What is gradient?
What are the characteristics of a gradient?
How is gradient connected to cartesian Coordinate?
Gradient (Slope) of a Straight Line
The Gradient (also called Slope) of a straight line shows how steep a straight line is.
Click here for link
Activity and self exploration
Click here for link
SUMMARY
LINEAR GRAPH
SELF DIRECTED / COLLABORATIVE ACTIVITY
video 1
Watch the following video and have a better understanding of:
.1 Cartesian Plane
.2 Coordinate system and ordered pairs
.3 Plotting coordinates for both tabular and graphical forms.
.4 Quadrants
Task
This is a collaborative activity.
Using Linoit (click http://linoit.com/users/nurjohari/canvases/Linear%20Graphs) post the key information about cartesian planes and coordinate system.
Video 2
LINOIT activity
LINEAR GRAPHS  INTRO
INTRODUCTION
Task 1
Task 1
A visitor to SST from one of the GCP schools wanted to know the direction from SST to NLB @ Clementi.
Without using any GPS and technological based tools provide a concise direction to the venue.
Conditions:
He is travelling alone and plans to walk to the destination.
You direction should bring him to the doorstep.
Post your direction as a comment in this blog
Link to Clementi Public Library
Task 2
With your group, brainstorm and suggesting a possible solution to the following scenario. Post your solution as a comment.
Scenario: You are lost at sea drifting aimlessly with water supply and a bar of magnet. Suggest how you could find direction to find land. What could be most useful a equipment for you to have at that moment, Why?
Scenario: You are lost at sea drifting aimlessly with water supply and a bar of magnet. Suggest how you could find direction to find land. What could be most useful a equipment for you to have at that moment, Why?
Wednesday, 17 July 2013
Assessment topics for Level Test 2
Level Test 2
posted Jul 16, 2013, 7:25 PM by Lim Ching Ching
Date: 21 August 2013 (Wednesday)
Duration: 1 hour
Calculator is allowed.
Topics that will be tested:
1. Basic Algebra and Algebraic Manipulation
2. Linear Equations & Simple Inequalities
3. Factorisation
4. Percentage
5. Functions & Linear Graphs (Pg 110)
6. Statistical Data Handling
7. Ratio, Rate & Speed

Coverage for Term 3
1. Week 13 Statistics
2. Week 4 Ratio, rate & speed
3. Week 56 Functions & Linear Graphs
4. Week 7 Direct & inverse proportion
5. Week 8 Number sequences
6. Week 9 Basic Geometry & Polygons
7. Week 10 Geometrical Construction
ACTIVITY: Stem and Leaf Diagram
Reference: Study Notes  Constructing a StemandLeaf Diagram (p20)
Scenario:
Because of Singapore's geographical location, we are impacted by smoke haze when there are forest fires in the region and the prevailing southwest monsoon winds blow the smoke from the fires in our direction, which usually occur in the period of May to October.
However, Singapore experiences the worst haze situation in June this year.
We are going to analyse how different the quality of air in each zone, compared to the overall quality of air in Singapore.
The Task:
(A) Gathering Data
1. Each team will be assigned to plot a stemandleaf diagram for the PSI value of and assigned zone (north, south, east, west), against the overall Singapore PSI value.
2. Retrieve the data from the NEA website:
Resource: http://app2.nea.gov.sg/antipollutionradiationprotection/airpollution/psi/historicalpsireadings/year/2013/month/6/day/1
3. Your reference time for everyday will be 8 am.
As the overall Singapore PSI value is presented in a range. Use the midpoint for the plotting.
(B) Organising and Presenting Data
4. The leaves on the left should be the data of the "Overall Singapore PSI value" whereas those on the right would be that of the 'zone' that your team has been assigned to.
5. Remember to include the "Key" to both sets of data.
(C) Analysing Data
6. Using the StemandLeaf diagram, find the mean, median and mode of both sets of data.
Show the working to obtain the mean of each set of data clearly.
7. For each set of data, attempt to use the mean, median and mode to discuss the haze situation over the month.
8. Make a comparison of these 2 sets of data, and comment the haze situation at the zone (that your team has been assigned to) and the overall value.
Below is the chart that represents the number of hotspots in Sumatra (from 6 June to 5 July).
9. Make reference to the Overall Singapore PSI values for the month, what observations can you draw between Singapore's PSI value and the hotspots detected in Sumatra? Comment on your observations.
Other useful links
Submission:
1. Complete the task on the A3 size paper provided (during lesson).
Remember to include your Group Number, Team Number & Name of members of the team in the same page.
Criteria for assessment: Mathematically correct (concept and presentation) and aesthetic design
2. Put up your solution on the noticeboard at the back of the classroom by next Monday 15 July 2013 (Monday)
Scenario:
Because of Singapore's geographical location, we are impacted by smoke haze when there are forest fires in the region and the prevailing southwest monsoon winds blow the smoke from the fires in our direction, which usually occur in the period of May to October.
However, Singapore experiences the worst haze situation in June this year.
We are going to analyse how different the quality of air in each zone, compared to the overall quality of air in Singapore.
The Task:
(A) Gathering Data
1. Each team will be assigned to plot a stemandleaf diagram for the PSI value of and assigned zone (north, south, east, west), against the overall Singapore PSI value.
2. Retrieve the data from the NEA website:
Resource: http://app2.nea.gov.sg/antipollutionradiationprotection/airpollution/psi/historicalpsireadings/year/2013/month/6/day/1
3. Your reference time for everyday will be 8 am.
As the overall Singapore PSI value is presented in a range. Use the midpoint for the plotting.
(B) Organising and Presenting Data
4. The leaves on the left should be the data of the "Overall Singapore PSI value" whereas those on the right would be that of the 'zone' that your team has been assigned to.
5. Remember to include the "Key" to both sets of data.
(C) Analysing Data
6. Using the StemandLeaf diagram, find the mean, median and mode of both sets of data.
Show the working to obtain the mean of each set of data clearly.
7. For each set of data, attempt to use the mean, median and mode to discuss the haze situation over the month.
8. Make a comparison of these 2 sets of data, and comment the haze situation at the zone (that your team has been assigned to) and the overall value.
Below is the chart that represents the number of hotspots in Sumatra (from 6 June to 5 July).
9. Make reference to the Overall Singapore PSI values for the month, what observations can you draw between Singapore's PSI value and the hotspots detected in Sumatra? Comment on your observations.
Other useful links
 National Environment Agency http://www.nea.gov.sg
 E101 Haze: Information on the Haze http://www.e101.gov.sg/haze/info.htmhttp://www.e101.gov.sg/haze/info.htm
 2013 Southeast Asia Haze http://en.wikipedia.org/wiki/2013_Southeast_Asian_haze
Submission:
1. Complete the task on the A3 size paper provided (during lesson).
Remember to include your Group Number, Team Number & Name of members of the team in the same page.
Criteria for assessment: Mathematically correct (concept and presentation) and aesthetic design
2. Put up your solution on the noticeboard at the back of the classroom by next Monday 15 July 2013 (Monday)
Stem and Leaf Example and Tools
Reference: http://www.bbc.co.uk/schools/gcsebitesize/maths/statistics/representingdata2rev4.shtml
STEM AND LEAF plotting tools
click here to access
Tuesday, 16 July 2013
Mean, Median, Mode and Range
The mean, median and mode are types of average.
The range gives a measure of the spread of a set of data.
This section revises how to calculate these measures for a simple set of data.
It then goes on to look at how the measures can be calculated for a table of data.
Calculating the Mean, Median, Mode and Range for simple data
The table below shows how to calculate the mean, median, mode and range for two sets of data.Set A contains the numbers 2, 2, 3, 5, 5, 7, 8 and
Set B contains the numbers 2, 3, 3, 4, 6, 7.
Example 1
Given a Table of values
Click here to find out now to find the mean, mode and median from this table.
Activity 2
Complete the activity on 'he number of doors' to include mean, mode, median and range.
Friday, 12 July 2013
Mean, Mode and Median
Measures of Central Tendency or Averages
adapted from: LKY
Arithmetic Mean
 The arithmetic mean of a set of numbers is the sum of numbers divided by the number of numbers in the set : Mean = sum of the numbers/number of numbers
 It is most the reliable measure provided there are no extreme values in the data because all the values in the data are used in calculating.
 Whenever the set of data contains extreme values, the median or mode would probably be more reliable because they are not influenced by extreme values.
Mode
 The number which occurs most frequently in a set of numbers
 It is most useful in business planning as a measure of popularity that reflects central tendency or opinion.
Median
 May be preferred as a measure of central tendency for describing economic, sociological and educational data.
 The median is popular in the study of social sciences because much of the data in the social sciences contain extreme values, in the set of household incomes.
 Median for an odd number of numbers is the middle number when the numbers are arranged in order of magnitude (i.e. ascending/descending order)
 Median for an even number of numbers is the mean of the two middle numbers when the numbers are arranged in order of magnitude
Listen to the following song for key concepts on Mean, Median or Mode.
Simple Activity
Go through the simple activity on Mean, Median, Mode and Range from this site.
Wednesday, 10 July 2013
Thursday, 4 July 2013
Data Type
2. What is the difference between discrete and continuous data?
3. What is the relationship between Histogram and continuous data?
Tuesday, 2 July 2013
Representation of Data  "OutoftheBox" way
source: LKY
The number of dengue infections has risen to an alarming number in 2013. NEA has been providing the public with updates, and at the same time sending alerts via the media to caution and educate the public.
The number of dengue infections has risen to an alarming number in 2013. NEA has been providing the public with updates, and at the same time sending alerts via the media to caution and educate the public.
Below is one of the ways that NEA presents information updates to the public:
Compare this "way" of presenting data with the "conventional" way of presenting data.
Discuss the advantages & disadvantages of presenting data in this manner.
Data Handling: Bar Graph vs Histogram  The Challenge
source: LKY
Ms Manju, the school librarian, makes use of the database management system to keep track of the loans by students.
Each month, she would present the data below in a bar graph. The bar graph shows the total number of books borrowed by category from January to May.
The Challenge
From the way the system captures the information, there are more useful information that can be extracted from the system for use.
Suggest to Ms Manju how she could make use of the data captured in the system to present a different set of information (other than the number of books borrowed by categories) using a histogram. Elaborate how this information can be used to work out with a strategy to encourage students to read more books.
As a group, present your suggested solution in the A3 paper provided. You may do 'mock up' on how the histogram looks like. Remember to label the axes of the histogram clearly.
Below the histogram, elaborate how this information can be used to work out a strategy to encourage students to read more books.
Submission:
Submit your answer to Ms Loh's pigeonhole upon completion (before Thursday 4 July 2013)
Remember to include your Class, Group number, Name of Group Members at the bottom of the paper.
Ms Manju, the school librarian, makes use of the database management system to keep track of the loans by students.
Each month, she would present the data below in a bar graph. The bar graph shows the total number of books borrowed by category from January to May.
The Challenge
From the way the system captures the information, there are more useful information that can be extracted from the system for use.
Suggest to Ms Manju how she could make use of the data captured in the system to present a different set of information (other than the number of books borrowed by categories) using a histogram. Elaborate how this information can be used to work out with a strategy to encourage students to read more books.
As a group, present your suggested solution in the A3 paper provided. You may do 'mock up' on how the histogram looks like. Remember to label the axes of the histogram clearly.
Below the histogram, elaborate how this information can be used to work out a strategy to encourage students to read more books.
Submission:
Submit your answer to Ms Loh's pigeonhole upon completion (before Thursday 4 July 2013)
Remember to include your Class, Group number, Name of Group Members at the bottom of the paper.
"Dengue" Data: Let's Compare and Find out "What's Wrong"
source: LKY
The number of dengue infections has risen to an alarming number in 2013. NEA has been providing the public with updates, and at the same time sending alerts via the media to caution and educate the public.
The line graphs below is one set of information that it has been updating the public.
Make a 'guess', what's the intent behind communicating this figures to the public?
Examine these two line graphs carefully.
While they "attempt"the report similar information, there's something not quite right in the way data is presented in one of the graphs.
Can you tell "What's Wrong" with which graph?
Source of Data: http://www.xdengue.com/Home/Summary (correct as on 5 June 2013)
The number of dengue infections has risen to an alarming number in 2013. NEA has been providing the public with updates, and at the same time sending alerts via the media to caution and educate the public.
The line graphs below is one set of information that it has been updating the public.
Make a 'guess', what's the intent behind communicating this figures to the public?
Examine these two line graphs carefully.
While they "attempt"the report similar information, there's something not quite right in the way data is presented in one of the graphs.
Can you tell "What's Wrong" with which graph?
Source of Data: http://www.xdengue.com/Home/Summary (correct as on 5 June 2013)
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