Mathematics Essay Writing Competition

To all SST Pioneers

Greetings!

Please check out the Main Page of the Google Login for the Essay Competition organised by the Singapore Mathematics Society.

You may participate as an individual or as a team of no more than 3.
As there is a limit to the number of entries to the competition per school, you will have to register through the school.

Rate Ratio Proportion (What's cooking this week?)

Cooking for a Party

Scenario:

SST is organising a class party and has entrusted your group to plan, purchase and eventually present the dish.

The task:
• Click on 'find a recipe' or to Martha Steward Recipe Finder select one recipe that is suitable for the party. You will be cooking a large meal for a party and so will need to change the quantities of the ingredients accordingly. Increase quantities using direct proportion and write a new shopping list.
• All the measurement must be in metric unit (i.e. cm instead of inch)
• The final product:
• An A4 size recipe with cooking direction using Pages.
• include the name and a picture, if possible, of your final dish
• estimated amount of calories
• include a brief writeup why your dish is the best.
• email your 1-page recipe to your Maths teacher with file name classyourname.pages


Resource: how to make caramel popcorn and recipe

Rate Ratio Proportion (Resources & Games)

Click on the following links for simple activities to reinforce your understanding

SpyGuys- Percents

SpyGuys- Ratios

Solving Proportions

Rags to Riches (Proportions)

Chap 9: Rate, Ratio and Proportion

Self Directed Learning (week 9)

2 tasks attached to be completed

Task 1: Self Directed practice

Go through the link and answer the following questions:

• What is/ the key difference/s between ratio and proportion?
• What are the rules you have to observe in ratio and proportion?

Go through the following activities

[the critical activities are identified with *]

factsheet include the following:

1. What is ratio? 2. Understanding direct proportion? 3. Using Direct Proportion

4. Simplifying ratios? 5. Tips for ratio and proportion sums 6. Key words

simple game to practice ratio:

worksheet 1 - 5

worksheet 2, 3 & 5 compulsory (*)

Self directed quiz with 3 different level of difficulties (*)

Task 2 : [to be submitted]

before completing the assignment review what you have covered in this chapter

1-02 & 1-05 : use your exercise books

1-08 & 1-09 : use fool scap papers

[akan datang]

SELF DIRECTED LEARNING

SELF DIRECTED LEARNING

towards being a life-long learner

This term we have identified Week 9 for self-directed learning week. This means that you set your own time and target to learn, practice and review the topics that have been identified for you. The fundamental has been covered in primary school so this is merely an extension of the skills and knowledge.

• Chapter 9.2: Average Speed
• Chapter 9.3: Speed

You are expected to complete sub-topic by 15 May 2010. A simple Pop-Quiz will be given to check on your understanding.

Resource: from text book, ACE-learning portal.

Another important resource: Please feel to clarify your doubts with Mr Johari.

Chap 16 Data Handling: Histograms - How does it look like?

Key questions:

1. What is a Histogram?
2. How different is it from a Bar Chart?

click here to find your answers.

1. What is a Histogram?

Frequency Table and Histogram

source: http://quarknet.fnal.gov/toolkits/new/histograms.html

2. How different is it from a Bar Chart?

click here to find your answers.

source: courtesy of Ms Loh KY

STATISTICS (ANALYSIS) : mean, mode & median

The Next Phase in Statistics is Data Analysis. In this segment we will be focusing on the following:

.1 Averages

.2 Histogram

.3 Other forms of presentation (Dot Diagram, Stem and Leaf)

Follow through the following series of tasks

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.1 Averages

'Before you can begin to understand statistics, there are four terms you will need to fully understand. The first term 'average' is something we have been familiar with from a

very early age when we start analyzing our marks on report cards. We add together all of our test results and then divide it by the sum of the total number of marks there are. We often call it the average. However, statistically it's the Mean!' [source: http://math.about.com]

Your task:

1. Define the following statistical terms: Mean, Mode and Median
2. You may refer to the following link for assistance [click here]
3. Provide an example on each of the terms
4. When do we use mean, mode or median?

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.2 Frequency Table and Histogram

Identify the characteristics of a Histogram.

What is/are the primary difference/s between Histogram and Bar Chart?

Your Task

Do a simple survey in class and complete the following tasks

Complete a Frequency Table

• Use Numbers and Plot a Histogram (label the axes and provide a suitable Title)
• Find the (a) mean, (b) mode and (c) median
• Which of the above averages ie. mean, mode or median you think best represents your findings about your survey? Why?

Group 1: Birth months of all your classmates

Group 2: Home location of all your classmates (North, South, East, West)

Group 3: Number of siblings of individual student

Group 4: Types of CCA

Group 5: Favourite genre of movies: Horror, Comedy, Thriller, etc etc

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Other types of Representation

Dot Diagram

Stem and Leaf

Task completed

the following is the work completed by the various groups:

Data is based on class Birthdates

The mean =

The mode =

The median =

Practice Questions (compulsory)

Dear all,
As Mr Chua has rightly pointed out, learning should be an on-going process and should not be just for the sake of tests or examination. One of SST's goals is to develop 'life-long learners' hence it is imperative to begin with the right mindset and attitude. I have identified the following questions from the chapters covered in Term 2 for compulsory practice.

Please detached the questions or copy the questions from the workbook for easy personal reference later on. Complete working to be shown and please use foolscap papers.

Discovering Mathematics workbook
Chapter 4: Introduction to Algebra
Basic Practice:
Q2, Q4
Further Practice
Q12, Q13, Q19
Challenging Practice
Q23, Q24

Chapter 16: Data Handling
Basic Practice
Q2, Q6, Q7
Further Practice
Q13, Q16, Q17, Q20
Challenging Practice
Q22, Q24

Will be covering this soon but you may try first
Chapter 5: Algebraic Manipulation
Basic Practice
Q1, Q2, Q4

All the best - feel free to ask me for any clarification.