**Could you UNCOVER THE MYSTERY behind the crystal ball?**

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## Self-Directed Learning (I)

## when we meet... in Term 3

## Term 3 Week 3 Maths Test

## Topics

## Announcement: Self-Directed Learning Modules

## Useful Links

## Maths - General Links

## Resources and Video Clips about NUMBERS

*Source: Teacher.TV (**http://www.teachers.tv/**)*

**Safety In Numbers** Mathematician Marcus du Sautoy reveals how the language of maths is used to construct the complex codes that we encounter in everyday life. Learn about the amazing use of PRIME NUMBERS in our everyday life.

(http://www.teachers.tv/video/3501)

**Zero to Infinity **In this programme, mathematician Marcus du Sautoy explains how humans have developed numbers for their mathematical needs. Hear about the Invention of **Zero** and have a better understanding of **Infinity**. Can we divide a number by Zero? Is *Infinity* the biggest number? (http://www.teachers.tv/video/3500)

*Source: The Guardian (Guardian.co.uk), 4 March 2005 *

Article:**The Magic Number** by Simon Singh

Found!!! The biggest**Prime Number** yet...

Click HERE to read article.

## Resources and Video Clips about FRACTIONS

*Source: Teacher.TV (**http://www.teachers.tv/**)*

**Cutting a Cake** Have you wondered how to divide a cake into 12 pieces using only 4 cuts?

(http://www.teachers.tv/video/43462)

Source: Teacher.TV (http://www.teachers.tv/)

**Putting Reciprocals into Practical Use** Reciprocals help us to order "difficult" fractions! (http://www.teachers.tv/video/43452)

## Resources and Video Clips about GEOMETRY

## Video Clips about Data Handling

## Co-Authors

Year 2010

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ODD week

Tuesday 0800-0900

Thursday 0900-1000

Friday 0900-1000

EVEN week

Tuesday 1430-1530

Thursday 0800-0900

Friday 1030-1130

Tuesday 0800-0900

Thursday 0900-1000

Friday 0900-1000

EVEN week

Tuesday 1430-1530

Thursday 0800-0900

Friday 1030-1130

The following topics will be covered in the Maths Test

Chapter 4: Introduction to Algebra

Chapter 5: Algebraic Manipulation

Chapter 9: Ratio, Rate and Speed

Chapter 16: Data Handling (including Mean, Median, Mode)

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This term, we have earmarked 2 sub-topics for you to learn on your own... own time own target (to be completed by Term 1 Week 9).

**Chapter 9.2: Average Speed **

You are expected to complete sub-topic by 15 May 2010. A Pop-Quiz has been scheduled on 18 May 2010 (Tuesday).

**Chapter 9.3: Speed**

Apart from textbook and workbook, recommended resources and learning activities will be delivered through the AceLearning Portal and the Maths Blog.

**As these 2 sub-topics are not going to be covered in the class, please check/clarify with Ms Loh (Face-to-face or virtually) when you are in-doubt.**

You are expected to complete sub-topic by 15 May 2010. A Pop-Quiz has been scheduled on 18 May 2010 (Tuesday).

Apart from textbook and workbook, recommended resources and learning activities will be delivered through the AceLearning Portal and the Maths Blog.

(http://www.teachers.tv/video/3501)

Article:

Found!!! The biggest

Click HERE to read article.

(http://www.teachers.tv/video/43462)

Source: Teacher.TV (http://www.teachers.tv/)

Source: Teacher.TV (http://www.teachers.tv/)

**Seaside Triangles** - How properties of triangles become useful in real world applications.

(http://www.teachers.tv/video/37910)

**Surface Area of an Octagon** - Step-by-step process of working out the area of an octagon

(http://www.teachers.tv/video/43382)

(http://www.teachers.tv/video/37910)

(http://www.teachers.tv/video/43382)

This video clip, Statistics: Decisions Through Data shows how data (in the study of Statistics) has enabled mankind to make big and small decisions, that either impact the individuals or the bigger community.

Look out for the following segments:

- Describing Data

- Producing Data

- Conclusions from Data

~~~~~~~~~~~~~~~~~~~~~~~~~~

Watch this video clip The Business of Farming

*Source: The Futures Channel (**http://www.thefutureschannel.com/index.php**)*. Note: It may take a while to stream the video clip

*This video about...* There are more than 350 different commodities grown in California. In a state that provides approximately 15 percent of U.S. agricultural products, statistics are an important tool for agricultural economists to keep up with supply and demand. Let's hear how the statistics help farmers to make decisions!

Look out for the following segments:

- Describing Data

- Producing Data

- Conclusions from Data

~~~~~~~~~~~~~~~~~~~~~~~~~~

Watch this video clip The Business of Farming

Well, since you did go through in class but i'll give it a go.

ReplyDeleteExample:

any two digit number. i pick 10.

1+0= 1

10-1=9 ( which is 1 x 9 )

I see the picture and click the crystal ball. my picture is correct.

Example 2:

I pick 30.

3+0=3

30-3=27 ( which is 3 x 9 )

I see the picture and click the crystal ball. my picture is correct.

Example 3:

I pick 44.

4+4=8

44-8= 36 ( which is 4 x 9 )

I see the picture and click the crystal ball. my picture is correct.

From the results i can conclude that the mystery is simple. the numbers can only be two-digit. not one-digit nor three-digit. so the pictures and answers i've shown above are all multiples of nine, thus i can say that the "sum" of two digit numbers has been made such as all answers lead to multiples of nine.

Lets say from the numbers 10-19

ReplyDeleteall the numbers ( accoding to thier steps) will result in the same answer nine. Notice the symbol of nine.

All the numbers from 20-29 will result in the number 18

All the numbers from 30-39 will result in the number 27

All the numbers from 40=49 will result in the number 36

All the numbers from 50-59 will result in the number 45

All the numbers from 60-69 will result in the number 54

All the numbers from 70-79 will result in the number 63

All the numbers from 80-89 will result in the number 72

All the numbers from 90-99 will result in the number 81

Notice that they are all multiples of nine, and all of these numbers will result in one symbol.

To confuse you, every time the game reloads, they change the symbol of these multiples, just to make the mysterious feeling.

Grace and Calvin

ReplyDeleteThese are good attempts :D

Hm... Using the listing method, you are able to present 'specific' cases that are true within the range of numbers (i.e. 2 digit numbers).

Perhaps the next level of challenge is, to generalise the specifics.

How do we use algebra to help us explain the operations behind the mystery?

:D