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Newsletter - Kaleidoscope of Geometry & SURFACE AREA -PPT

Kaleidoscope of Geometry- Newsletter.pub

SURFACE AREA 3 D SHAPES IN MY S N.pptxSURFACE AREA - POWERPOINT PRESENTATION

Symmetry is there all around us.There is symmetry in leaves,flowers,buildings,symbols,insects,shells,railway track,tyres,art,jewellery etc.Enjoy the BEAUTY of SYMMETRY through the slide show given below.Also find symmetry in more things and add to this slide show.BubbleShare: Share photos - Find great Clip Art Images.

Solve these juicy problems

1) A man was born in the year 50 BC. How old was he on his birthday in 50 A D ?

2 ) In a party ,those whose hands shook arrived at about 28 altogether.How many guests were checked in?

3) A monkey starts upping a tree 30 feet tall.Each hour ,it hops 3 feet and slips back 2 feet .How many days does it take to reach the top ?

4 ) 10 cats ate 10 rats in 10 seconds.How many seconds are required for 100 cats to gobble 100 rats ?

5) A boy celebrates his birthday only after every 4 years.What is his date of birth?

6) If a clock in a mirror tells 20 to 3, what time it was?

7) Which number appears same,if read either in the conventional manner or in the reverse order?

8) A bow and an arrow costs Rs.21.The bow costs Rs.20 more than the arrow. What shall be the price of each?
9) If there are three oranges and you take away two, how many will you have?

10) There are a mix of red, green and blue balls in a bag. The total number of balls is 60. There are four times as many red balls as green balls and 6 more blue balls than green balls. How many balls of each colour are there?

11) What's my number?
I am a three digit number.
My tens digit is five more than my ones digit.
My hundreds digit is eight less than my tens digit.
What number am I?

12) How many times can you subtract the number 5 from 25?

SEND YOUR ANSWERS ON YOUR PAGE

SLIDESHOWS


Solving a sum through this slideshow
Your pictures and fotos in a slideshow on MySpace, eBay, Facebook or your website!view all pictures of this slideshow

FUN WITH SHAPES
Your pictures and fotos in a slideshow on MySpace, eBay, Facebook or your website!view all pictures of this slideshow


Enjoy the sacred geometry in our environment through this slideshow.
Your pictures and fotos in a slideshow on MySpace, eBay, Facebook or your website!view all pictures of this slideshow


MY STUDENTS - LEARNING BY DOING
Your pictures and fotos in a slideshow on MySpace, eBay, Facebook or your website!view all pictures of this slideshow
BEAUTY OF SYMMETRY
Your pictures and fotos in a slideshow on MySpace, eBay, Facebook or your website!view all pictures of this slideshow

TIPSSSSSSSSSSSSSSSSssssssssss on Calculations

The 11 Times Trick
Easy trick for multiplying a two digit number by 11
Take the original number and imagine a space between the two digits
Example: 52
5_2
Now add the two numbers together and put them in the middle:
5_(5+2)_2
That is it - you have the answer: 572.
If the numbers in the middle add up to a 2 digit number, just insert the second number and add 1 to the first:
9_(9+9)_9
(9+1)_8_9
10_8_9
1089


If you have a large number to multiply and one of the numbers is even,
you can easily subdivide to get to the answer
32 x 125, is the same as
16 x 250 is the same as
8 x 500 is the same as
4 x 1000 = 4,000

Divisibility by 7 ( First method)
Take the two left-most digits, multiply the left digit by 3 and add it to the second digit. Replace these two digits with the result. Then we can keep repeating, always dealing with only the two left-most digits, until we end up with a small number which is either divisible by 7 or not.

4712954379 4 x 3 +7 = 19
1912954379 1 x 3 +9 = 12 so on
1212954379
512954379
162954379
92954379
29954379
15954379
8954379
3354379
1254379
554379
204379
64379
22379
8379
2779
1379
679
259
119
49
49 is divisible by 7. Since 49 is divisible by 7, every number above it is also divisible by 7.

Test for divisibility by 7. ( second method )

Double the last digit and subtract it from the remaining number. If the result is divisible by 7, then so was the original number. Apply this rule over and over again as necessary.
Example: 826.
Twice 6 is 12.
So take 12 from 82.
Now 82-12=70.
This is divisible by 7, so 826 is divisible by 7 also.

Suppose we want to find the product of 27 and 196
Step 1: Mark 2 columns headed by 27 and 196
Step 2: Write numbers in the first column by halving (dividing by 2) the preceeding number and ignoring the remainder if any till the last number is 1

27 -------------- 196
13 -------------- 392
6 ------------- 784
3 ------------------- 1568
1 ------------------- 3136
Step 3: Write the numbers in the second column by doubling ( multiplying by 2) the preceeding number , till a number is written opposite to 1 of the first column
Step 4: Add together all those numbers in the second column which come on the right of an odd number in the first column
196 + 392 + 1568 + 3136 = 5292
The sum obtained is the product of 27 and 196

Subtracting from 1,000
To subtract a large number from 1,000 you can use this basic rule:
Subtract all but the last number from 9,
then subtract the last number from 10
Example
1000-648
step1: subtract 6 from 9 = 3
step2: subtract 4 from 9 = 5
step3: subtract 8 from 10 = 2
Answer: 352


Find the words that fit
Eg: 12 = M in an Y
You need to find what the M and Y stand for
Answer :
12 = Months in an Year
. 7 = D of a W
• 100 = K in a Q
• 1000 = K in a T
• 12 = D in a G
• 52 = W in an Y
• 180 = D in a S
• 366 = D in a L
• 60 = S in a M
• 3600 = S in an H
• 1000 = M in a M

ENRICHMENT( GOLDEN RATIO )

You can find certain ratios in nature ,art and architecture.Any value equivent to the value of about 1.6 is called Golden Ratio.When the length to width ratio of a rectangle is approximately equal to 1.6 to 1,the rectangle is called a Golden Rectangle.Golden rectangle is more pleasing to eyes than any other rectangle.Many famous buildings follow this ratio in costructing their beautiful structures.

FUN WITH SHAPES

Your pictures and fotos in a slideshow on MySpace, eBay, Facebook or your website!view all pictures of this slideshow

Assorted Multiplication Rules

Multiply by 5: Multiply by 10 and divide by 2.
Multiply by 9: Multiply by 10 and subtract the original number.
Multiply by 12: Multiply by 10 and add twice the original number.
Multiply by 13: Multiply by 3 and add 10 times original number.
Multiply by 14: Multiply by 7 and then multiply by 2
Multiply by 15: Multiply by 10 and add 5 times the original number.
Multiply by 16: Double four times, or multiply by 8 and then by 2.
Multiply by 17: Multiply by 7 and add 10 times original number.
Multiply by 18: Multiply by 20 and subtract twice the original number.
Multiply by 19: Multiply by 20 and subtract the original number.
Multiply by 24: Multiply by 8 and then multiply by 3.
Multiply by 27: Multiply by 30 and subtract 3 times the original number.
Multiply by 45: Multiply by 50 and subtract 5 times the original number.
Multiply by 90: Multiply by 9 (as above) and put a zero on the right.
Multiply by 98: Multiply by 100 and subtract twice the original number.
Multiply by 99: Multiply by 100 and subtract the original number.

Try and verify your answers .
 
 
 

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STUDYING MATHEMATICS

Studying Mathematics is different from Studying other subjects Mathematics is learned by doing problems.The problems help you learn the formulas and techniques you do need to know, as well as improve your problem-solving power.
A word of warning: Each class builds on the previous ones, all semester long. You must keep up with the Instructor: attend class, read the text and do homework every day. Falling a day behind puts you at a disadvantage. Falling a week behind puts you in deep trouble.A word of encouragement: Each class builds on the previous ones, all semester long. You're always reviewing previous material as you do new material. Many of the ideas hang together. Identifying and learning the key concepts means you don't have to memorize as much.
The higher the math class, the more types of problems: in earlier classes, problems often required just one step to find a solution. Increasingly, you will tackle problems which require several steps to solve them. Break these problems down into smaller pieces and solve each piece - divide and conquer!

When you work problems on homework, write out complete solutions, as if you were taking a test. Don't just scratch out a few lines and check the answer in the back of the book. If your answer is not right, rework the problem; don't just do some mental gymnastics to convince yourself that you could get the correct answer. If you can't get the answer, get help.The practice you get doing homework and reviewing will make test problems easier to tackle.
Solving an Applied Problem
First convert the problem into mathematics. This step is (usually) the most challenging part of an applied problem. If possible, start by drawing a picture. Label
it with all the quantities mentioned in the problem. If a quantity in the the problem is
not a fixed number, name it by a variable. Identify the goal of the problem. Then
complete the conversion of the problem into math, i.e., find equations which describe relationships among the variables, and describe the goal of the problem mathematically.Solve the mathematics problem you have generated, using whatever skills and techniques you need .
As a final step, you should convert the answer of your mathematics problem back into words, so that you have now solved the original applied problem.

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