Uses of Mathematics in our daily life by Tracilee'

This PPT is prepared by Tracilee of KV Aizawl on uses of Mathematics in our daily life.

1. IMPORTANCE OF MATHEMATICS IN EVERYDAY LIFE 1

2. Presented by Tracilee Ningthoujam Class – 7 A Roll no-40 Kendriya Vidyalaya , Aizwal 2

3. SOME COMMON VIEWS OF MATHEMATICS 3 MATHS IS HARD MATHS IS BORING MATHS HAS NOTHING TO DO WITH REAL LIFE ALL MATHEMATICIANS ARE MAD ! BUT I CAN SHOW YOU THAT MATHS IS IMPORTANT IN EVERY DAY LIFE EVEN IN CRIME DETECTION , MEDICINE !!!!!!!!!

4. 4 Mathematics is defined as the science which deals with logic of shape, quantity and arrangement. During ancient times , the Egyptians used maths and complex mathematic equations like geometry and algebra. Math is a part of our lives, whether we clean the house, make supper or mow the lawn. Wherever you go, whatever you do, you are using math daily without even realizing it. It just comes naturally. Maths is a universal language in that it is a language understood in all countries

5. 5 Math is one of the most crucial subjects for students. Almost every student studies math during their academic life. But most of the students usually ask about the importance of mathematics. It offers a way that is quite helpful for the students to understand the complex information. Even you can also find the importance of mathematics in our daily life. Every single moment of our life requires knowledge of math. But most of the students are not taking math seriously in their high schools. The reason is they don’t find mathematics quite interesting. Besides, teenage students find it annoying, as well as stressful. But math is crucial for them to get high paying jobs. Let’s get started on the importance of mathematics in our life.

6. 6 Presentation Overview Points of Discussion 1 . Math is good for the brain 2. Math helps you with your finances 3. Math makes you a better cook 4. Better problem-solving skills 5. Every career uses math 6 Great career options 7 Math for Fitness 8. Helps you understand the world better 9. Solving Crime 10. Medicine

7. 7 A study done by Dr. Tanya Evans at Stanford University proved that the students who solve math problems in their daily life have higher logical skills than those students who don’t solve the problems. Apart from that, the students also solve math problems for their brain exercise. To make our bodies stay fit, we do exercise. In the same way, to stay our brain healthy and active, we need to do brain exercise. 1. Math is good for the brain

8. 2. Math helps you with your finances 8 Math is also helpful with your finance. With the help of math, you can easily make your financial budget. You can calculate how much money you have and how you can spend your money. Almost every single human in the world uses math for their finance. The salaried person uses math to calculate their expenses and salaries. On the other hand, the businessman uses math to calculate their profit and loss. They also use it to calculate their loans and many more. It emerges the importance of business mathematics.

9. 3. Math makes you a better cook 9 Math is quite useful for the cook. Because in almost every recipe, there is a need to put the ingredients. Such as one teaspoon turmeric, a tablespoon of garlic powder. As well as the half-cup of flour is the same thing as eight tablespoons of flour. Therefore to make anything delicious, the cook needs to know the perfect measurements of the ingredients. Apart from that, if the cook needs to cook food for many people. Then they need to know how much ingredients are required to cook food for those number of people.

10. 4. BETTER PROBLEM-SOLVING SKILLS 10 Finding distance and length (Practical knowledge of Trigonometry) Maths concepts are used to find or calculate:- height of towers, mountains and tides in oceans distance of the shore from a point in the sea and between celestial bodies structural load, roof slopes, ground surfaces and many other aspects, including sun shading and light angles

11. 5. EVERY CAREER USES MATHS Sports (Practical knowledge of Probability, Mensuration and Statistics) The mathematical concept can be applied when one wants to comment about the game. When we toss in game, probability is used as there is an equal chance of getting head or tail. Referees and coaches make calls which are based on time. We can compare failure and success rate by collecting data of all the past game played. This can only be done using some aspects of maths . To make the field of correct measure, we need good knowledge of Mensuration 11

12. 6. GREAT CAREER OPTIONS 12 Navigation (Practical knowledge of Coordinate Geometry ) Concept is widely used while working with graphic designing software We often use it to navigate a city or to locate objects in a grid. When geo caching, we use latitude and longitude Astronomers (and amateurs) use sky coordinates to locate objects of interest.

13. 6. GREAT CAREER OPTIONS (CONT’D) 13 Banking and Shopping (Practical knowledge of Percentage and Interest ) We visit supermarkets to buy items, purchasing decisions require some understanding of budgets and the cost Transaction of money Stocks and Bonds EMI, Loan, Interest paid on loan, interest paid by the bank, etc.

14. 6. GREAT CAREER OPTIONS (CONT’D) 14 Architecture (Practical knowledge of Mensuration, Geometry and Symmetry) A water tower and many other structures include many solid shapes whose volume can be calculated through geometry. Symmetrical and geometrical concepts have been applied in the construction of some famous monuments such as Taj Mahal , Eiffel Tower etc Areas of differently sized and shaped lands can be found through the application of area formulas 'The Pythagoras Theorem' is used to measure of size for painting a building or finding the shortest route to a particular location

15. 7. Math for Fitness Math helps us to maintain our exercise routines. Math is used to calculate short term and long term goals. It is used to measure our growth in fitness levels.

16. 8. Math HELPS UNDERSTAND THE WORLD BETTER Enduring understandings Mathematics is an important tool It is not just a subject a school If students develop a good understanding of mathematics at this stage in their lives, the skill will stay with them forever. The students can learn a new skill Art and Craft Home Economics Mini Company Gardening Tailoring 16

17. 8. Math HELPS UNDERSTAND THE WORLD BETTER (CONT’D) Art and Craft Home Economics Mini Company ENDURING/EFFECTIVE LEARNING OUTCOMES Students have a deeper understanding of the underlying concepts of dimensional scaling Students have improved spatial reasoning and awareness Students are able to apply this knowledge in examinations and real-life situations 17

18. Learning Outcomes 18 Crafting (Meet ‘Bill’….) Each student will crochet an owl with the same specified dimension using a pattern, wool and crochet hook provided.

19. 19 Before we stuff Bill…. Let’s find out an approximation of his area. Having flattened him, we can use the Trapezoidal rule to make an estimate of his surface area remembering to multiply the result by two for front and back. (Note: Ideally we would take a measurement of the curved surface rather than flat surface area.)

20. Here we have divided Bill’s flattened profile into trapezia, each of 10mm width.

21. 21 Make Bill’s eyes and beak Measure and then cut out the required circles and triangle from a sheet of fel t. Area = ½ base x height Area = π r²

22. 22 Then add the stuffing…Finishing up Weigh the amount of filling material needed to stuff Bill. (40 grams approx.) Eyes and beak to be sewn onto the helical section Wings can be added, and students can include ornamental touches (flowers etc.) if they wish Sew up the top hole and you are finally ready to make a….

23. 8. Math HELPS UNDERSTAND THE WORLD BETTER (CONT’D) 23 Gardening (Practical knowledge of Mensuration ) Even doing something as mundane as gardening requires a basic math skill. If we need to plant or sow new seeds or seedlings you need to make a row or count them out or even make holes. Measuring skills is always needed, and calculations of the essence when doing something new in the garden.

24. 8. Math HELPS UNDERSTAND THE WORLD BETTER (CONT’D) Tailoring Making Skirts in different sizes (a) A very large Compass (or a piece of string secured at one end will do) (b) A calculator (c) A roll of cheap curtain material or old sheets that students have at home. (d) And some measurements. (e) Each skirt will have to be cut a different size and the calculations will have to be adjusted for each batch of sizes.

25. The skirt design is one circle inside another:

26. What size should the outer circle be? You need to know the intended length of the skirt, leaving an extra two inches for a hem. E.g. for size 10 the length without a hem or waist band should be at least 15 inches. If we add 2 inches for a hem, then the skirt length must be 17 inches. What will be the radius of the larger circle?

27. The larger circle will be 21 inches approximately Radius = 17” + 4.1” = 21.1” 4.1 17.0

28. Now pick centre for the circle and draw both the larger and smaller circle

29. It is time to cut out your first ski rt

30. Now, add an elastic waist band

31. 9. Maths and crime 31 A short mathematical story Burglar robs a bank Escapes in getaway car Pursued by police GOOD NEWS Police take a photo BAD NEWS Photo is blurred

32. 32 Galois Original Blurred

33. SOLUTION 33 Take the photo to a mathematician Original f(x) Blurring h(x) = f(x)*g(x) g(x) Maths gives a formula for blurring convolution By inverting the formula we can get rid of the blur

34. Processed image : Image Processing 34

35. 10. Maths and MEDICINE 35 Modern medicine has been transformed by methods of seeing Inside you without cutting you open! Ultra sound : sound waves MRI : magnetism CAT scans: X rays ALL USE MATHS TO WORK!!

36. WHAT IS A CAT SCAN?? 36 CAT = Computerised axial tomography Based on X-Rays discovered by Roengten X-Rays cast a shadow GOOD for looking at bones BAD for looking at soft tissue

37. USING MODERN MATHS WE CAN DO A LOT BETTER 37 CAT scanners work by casting many shadows with X-rays and using maths to assemble these into a picture Modern CAT scanner

38. X-Ray source Object Detector X Intensity of X-ray at detector depends on width of object We can find the thickness … can we find the shape? Intensity X

39. MOVE SOURCE AND DETECTOR AROUND GET SHADOWS OF THE OBJECT FROM MANY ANGLES AND MEASURE X-RAY INTENSITY

40. 40 Thank you Hope you find it Interesting and useful