**Which is larger: 2+n or 2n?**

Note: This is a 6-mark question.

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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

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ReplyDeleteThe answer varies.

ReplyDeleteFor example, if n's value is 1, 2+n would be larger than 2n as 2+n would have a value of 3 while 2n would only have a value of 2.

If the value of n were 2, 2+n and 2n would be of equal values as both would have a value of 4.

If the value of n were 3, 2n would be larger than 2+n as 2n would have a value of 6 while 2+n would only have a value of five. This also applies if the value of n is more than 3.

The answer depends on n, which means it varies.

ReplyDeleteIf the value of n is 1 or below, 2+n would be larger than 2 x n.

Eg. n = 0.5,

2 + 0.5 = 2.5

2 x 0.5 = 1

2.5 is bigger than 1, which means 2+n is larger than 2 x n.

If the value of n is 2, 2 + n would be equal to 2 x n.

n = 2,

2 + 2 = 4

2 x 2 = 4

4 = 4, which means 2 + n would be equal to 2 x n.

If the value of n is more than 2, 2n would be larger than 2 +n.

eg. n = 2.2

2 + 2.2 = 4.2

2 x 2.2 = 4.4

4.4 is bigger than 4.2, which means that 2 x n is bigger than 2 + n.

JJ(:

2n is larger then 2 + n

ReplyDeleteFirst, the answer will depend largely on the variable (n).

Second, the constant is 2 in both equations.

If the variable is 1 or 0 , 2n will be smaller then 2 +n since 2n= 2 x 1 or 2 x 0 and 2 +n is 2 + 1 or 2 + 0.

If the variable is 2 , there will be the same answer as 2 x 2= 4 and 2 + 2= 4

If the variable is more than 2, 2n will always be larger than 2 +n since there are 2 groups of the variable and 2 + 1 group is always smaller when the variable is more than 2.

2n is larger.

ReplyDeleteWhy?

2n is 2 x n, which is multiple, but 2+n is addition.

for example n=4

2+4=6, but 2x4=6

2+n can also be larger.

As long as the variable is no larger than the constant, 2+n is larger.

Example:

n=1:

2+1=3

2x1=2

n=(-1):

2+(-1)=1

2x(-1)=-2

Therefore, I can conclude that the answer cannot be defined as both answers are correct unless more information is provided like the value of n, the constant.

The answer varies.

ReplyDeleteIf n < 3, then 2+n is greater than 2n.

For example, n = 1,

then 2 + 1 = 3,

and 2 x 1 = 2,

from here we can see that 2+n is greater than 2n.

If n > 3, or n = 3, then 2n is greater than 2+n.

For example, n = 4,

then 2 + 4 = 6,

and 2 x 4 = 8,

from here we can see that 2n is greater than 2+n.

Therefore, we can only decide whether 2+n or 2n is greater when we are given the value of "n".

It depends on the value of the variable 'n'.

ReplyDeleteFor example, if n=1.

2+1=3

2x1=2

This time, 2+n is greater than 2n.

For example, if n=2.

2+2=4

2x2=4

This time, 2+n and 2n is the same.

However, if n=3 and above, 2n will be greater than 2+n.

Hence, it depends on the value of 'n'.