Use of Maths

What use is maths in everyday life?

What do going out for dinner, choosing a shampoo, or planning a holiday all have in common? You’ve guessed it: maths. Numerical and logical thinking play a part in each of these everyday activities, and in many others. A good understanding of maths in everyday life is essential for making sense of all the numbers and problems life throws at us.

Maths on the menu

It’s your birthday and you’ve decided to go out for a meal with some friends. While you won’t be having fried formulas or a side-order of statistics, maths is involved at every stage.

Looking down at the menu, you eye up the prices. The restaurant owner has worked out how much she needs to charge for her food by creating a business model detailing the cost of raw ingredients, staff wages and so on. She also has to calculate how these costs might change in the future and how many customers she expects. Many restaurants fail within their first year because of poor mathematical planning.

Thankfully this one is still open for business, so you place your order and the chef gets to work. You’d better hope he has a good grasp of maths, because understanding measurement, ratio, and proportion can be the difference between something delicious and something that ends up in the dustbin.

Turns out you’re in luck, and the food is excellent. You just about make room for dessert and it’s time to split the bill. Who had the pizza? Did you have one drink, or two? Did the waiter add everything up correctly? Being able to perform quick mental calculations will get it sorted in no time – and percentages help with leaving a tip!

Math Tricks

10 Math Tricks That               Will Blow  Your Mind

1. Multiplying by 6

If you multiply 6 by an even number, the answer will end with the same digit. The number in the tens place will be half of the number in the ones place.

Example: 6 x 4 = 24

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The Answer Is 2

1. 1.Think of a number.
2. 2.Multiply it by 3.
3. 3.Add 6.
4. 4.Divide this number by 3.
5. Subtract the number from Step 1 from the answer in Step 4.

The answer is 2.

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Same Three Digit Number

1. 1.Think of any three-digit number in which each of the digits is the same. 2.Examples include 333, 666, 777, 999.
2. 3.Add up the digits.
3. 4.Divide the three digit number by the answer in Step 2.

The answer is 37.

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Six Digits Become Three

1. 1.Take any three-digit number and write it twice to make a six digit number. 2.Examples include 371371 or 552552.
2. 3.Divide the number by 7.
3. 4.Divide it by 11.
4. 5.Divide it by 13. (The order in which you do the division is unimportant.)

6.The answer is the three digit number

Examples: 371371 gives you 371 or 552552 gives you 552.

1. A related trick is to take any three-digit number.
2. Multiply it by 7, 11, and 13.

The result will be a six digit number that repeats the three-digit number.

Example: 456 becomes 456456.

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The 11 Rule

This is a quick way to multiply two digit numbers by 11 in your head.

1. 1.Separate the two digits in your mind.
2. 2.Add the two digits together.
3. 3.Place the number from Step 2 between the two digits. If the number from Step 2 is greater than 9, put the ones digit in the space and carry the tens digit.

Examples: 72 x 11 = 792

57 x 11 = 5 _ 7, but 5 + 7 = 12, so put 2 in the space and add the 1 to the 5 to get 627

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Memorizing Pi

To remember the first seven digits of pi, count the number of letters in each word of the sentence:

"How I wish I could calculate pi."

This gives 3.141592

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Contains the Digits 1, 2, 4, 5, 7, 8

1. 1.Select a number from 1 to 6.
2. 2.Multiply the number by 9.
3. 3.Multiply it by 111.
4. 4.Multiply it by 1001.
5. 5.Divide the answer by 7.

The number will contain the digits 1, 2, 4, 5, 7, and 8. 

Example: The number 6 yields the answer 714285.

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Multiply Large Numbers in Your Head

To easily multiply two double digit numbers, use their distance from 100 to simplify the math:

1. 1.Subtract each number from 100.
2. 2.Add these values together.
3. 3.100 minus this number is the first part of the answer.
4. 4.Multiply the digits from Step 1 to get the second part of the answer.

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Super Simple Divisibility Rules

You've got 210 pieces of pizza and want to know whether or not you can split them evenly within your group. Rather than whip out the calculator, use these simple shortcuts to do the math in your head:

• Divisible by 2 if the last digit is a multiple of 2 (210).
• Divisible by 3 if the sum of the digits is divisible by 3 (522 because the digits add up to 9, which is divisible by 3).
• Divisible by 4 if the last two digits are divisible by 4 (2540 because 40 is divisible by 4).
• Divisible by 5 if the last digit is 0 or 5 (9905).
• Divisible by 6 if it passes the rules for both 2 and 3 (408).
• Divisible by 9 if the sum of the digits is divisible by 9 (6390 since 6 + 3 + 9 + 0 = 18, which is divisible by 9).
• Divisible by 10 if the number ends in a 0 (8910).
• Divisible by 12 if the rules for divisibility by 3 and 4 apply.

Example: The 210 slices of pizza may be evenly distributed into groups of 2, 3, 6, 10.

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Finger Multiplication Tables

Everyone knows you can count on your fingers. Did you realize you can use them for multiplication? A simple way to do the "9" multiplication table is to place both hands in front of you with fingers and thumbs extended. To multiply 9 by a number, fold down that number of finger, counting from the left.

Examples: To multiply 9 by 5, fold down the fifth finger from the left. Count fingers on either side of the "fold" to get the answer. In this case, the answer is 45.

To multiply 9 times 6, fold down the sixth finger, giving an answer of 54.

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EPC-3 Syllabus

COURSE EPC 3: CRITICAL UNDERSTANDING OF INFORMATION AND COMMUNICATION TECHNOLOGY (ICT)

The aim of this course is to enhance the professional capacities of a student teacher in integrating Information and Communication Technologies (ICTs) with effective teaching and learning in a classroom.

Course objectives:

To enable the student-teachers:

 1. To teach effectively in a “technology enhanced classroom” (previously referred to as “smart classroom”).

 2. To achieve knowledge-comprehension, practice skills and presentation skills in ICT.

 How to prepare a student teacher for a technology enhanced classroom?

The teachers in Colleges of Education should train the student- teachers

1. To operate /use various ICT tools such as computer, laptop/Internet, Interactive whiteboard, Tablet PC, iPad, iPhone, Mobile phones, Digital cameras, Multimedia equipments (audio/video), Skype and video - conferencing.

2. To browse the Internet, using a computer /laptop, identify and use education related websites and video/audio resources in teaching- learning.

3. To prepare teaching material/learning resource materials: e-content, e-booklet for selected school subject areas and to create edu(cational) blogs for individual/ group students for strengthening sharing and learning.

4. To use a laptop /PC for preparing slides for PowerPoint presentations/ lectures and also download the video resources available on the internet and use them embedded with slide presentations.

 5. To teach a content /lesson using an Interactive whiteboard (by connecting a desktop computer to a whiteboard and project Google images onto it).

6. To use a visualizer/document camera (visual projector) to display and share an information to the whole class.

 7. To use a mobile device/a camera phone to take a series of snapshots of children’s actions events/ scenes/ activities and prepare a photo documentary or photo album with explanatory notes/ descriptions.

8. Prepare videos on different teaching styles of experienced teachers/ peers and keep them available for viewing as a stream on a computer. 

9. Organize a few video-conferencing classes (organize Skype-based video conferencing) inviting experts in school subjects and encourage the students to share the learning experiences through Whatsapp with their classmates and others. 

10.To create educational blogs (edublogs) for individual/group students for sharing and learning articles/ class notes/ assignments and participating in active blogging community.

 Tasks and Assignments:

 1. Write a report based on your preparation of e-content and presentation of it to the class with different ICT tools.

2. Write a report on the organization of video-conferencing with an educational expert

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