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Mathematics in Daily Life

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Presentation on theme: "Mathematics in Daily Life"— Presentation transcript:

Mathematics in Daily Life

By: Tyler Register and Tre Burse

presentation on mathematics in daily life

Given: is a rhombus. Prove: is a parallelogram.

presentation on mathematics in daily life

Parallelograms and Rectangles

presentation on mathematics in daily life

Chapter 4: Congruent Triangles

presentation on mathematics in daily life

Quadrilateral Proofs Page 4-5.

presentation on mathematics in daily life

Created by chris markstrum © Proving Quadrilaterals are Parallelograms California State Standards for Geometry 4: Prove basic theorems involving.

presentation on mathematics in daily life

Using Congruent Triangles Geometry Mrs. Spitz Fall 2004.

presentation on mathematics in daily life

Parallelogram Rhombus Rectangle Square Trapezoid Isosceles Trapezoid

presentation on mathematics in daily life

Prove Triangles Congruent by ASA & AAS

presentation on mathematics in daily life

L14_Properties of a Parallelogram

presentation on mathematics in daily life

Parallelograms Quadrilaterals are four-sided polygons

presentation on mathematics in daily life

Section 4.1 Congruent Polygons. Polygons Examples of Polygons Polygons Examples of Non-Polygons Non-Polygons.

presentation on mathematics in daily life

: Quadrilaterals and Their Properties

presentation on mathematics in daily life

EXAMPLE 1 Identify congruent triangles

presentation on mathematics in daily life

4.5 Using Congruent Triangles Geometry Mrs. Spitz Fall 2004.

presentation on mathematics in daily life

4.1 Quadrilaterals Quadrilateral Parallelogram Trapezoid

presentation on mathematics in daily life

TEQ – Typical Exam Questions. J Q P M K L O Given: JKLM is a parallelogram Prove: StatementReason 2. Given 1. Given1. JKLM is a parallelogram 3. Opposite.

presentation on mathematics in daily life

Similar Triangle Proofs Page 5-7. A CB HF E Similar Triangle Proof Notes To prove two triangles are similar, you only need to prove that 2 corresponding.

presentation on mathematics in daily life

In the given parallelogram FACE, what does the segment connecting opposite vertices represent? F A F A M E C E C.

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8 ways we use maths in everyday life

Maths can seem abstract in the classroom, but the truth is it's a crucial tool we use everyday.

It’s the question every student asks and every maths teacher hears at some point: ‘When will I ever need maths in everyday life?’ If you’ve ever heard this from your own child, you might struggle to think of a response.

Maths can seem abstract in the classroom, but the truth is that we use it all the time – we just might not realise it.

Maths helps us to make decisions, predict outcomes and keep our lives in order. On a larger scale, maths underpins everything around us. Here are just a few of the ways that we use maths in everyday life that can connect to your child’s interests and that you can have handy next time you get those homework help requests!

presentation on mathematics in daily life

1. Personal finance

The most obvious place to start is with something we all have to deal with – money. Arithmetic skills are important for creating a budget, making a savings plan or working out whether something we want to buy really is a bargain. If we understand percentages, for example, we can work out the real cost of a credit card, online payment platform or loan, or the potential return on an investment.

2. The built environment

All the buildings, roads, bridges, transport systems and other structures around us are part of the built environment – and they’re all built on maths. Architects use geometry, algebra and trigonometry to design buildings that are aesthetically pleasing and structurally sound. Construction engineers use calculus and statistical methods to ensure that large structures such as bridges and towers stay standing up. And builders need maths skills to work out the quantity of concrete, timber and steel they will need.

3. Sports and games

Sports superfans love to keep track of scores and statistics, and maths helps athletes play better. Geometry and trigonometry can help sports statisticians to find the best way for athletes to kick the ball, or the most efficient way for them to run around a track. Probability helps us figure out the chances of our favourite team winning or losing a match. And if tabletop board games are more your style, probability also determines the most likely outcomes of the rolls of the dice.

4. Transport and travel

Everything that moves is based on physical laws determined by maths – take the well-known equation F=ma, or force equals mass times acceleration, for example. Engineers use maths in everyday life, such as algebra and calculus to design and build planes, trains and cars. You might even use maths when planning a holiday for your family, from calculating the amount of fuel needed for a road trip to converting foreign currency or adding up local taxes overseas. 

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5. Weather and climate

Meteorologists use statistical modelling to predict future temperatures, rainfall, humidity and other weather conditions. Climate scientists use mathematical skills like differential equations to model different climate change scenarios using historical data. Maths can also be used to predict natural disasters such as tsunamis, earthquakes and bushfires – and insurers use this information to assess risk and set their premium prices.

6. The internet

Has your child ever wondered how Google finds search results so quickly, how Netflix knows which shows they might like, or how YouTube targets ads? Social media, streaming services and search technologies use algorithms to learn more about you and tailor their offerings (and ads!) to what you or your child is likely to be interested in, or what they know about their demographics. Algorithms are sets of instructions that tell computers how to find relevant items in massive amounts of data. Websites take whatever information they have about the user and match it with what’s in their database to deliver the content the user is most likely to want.

7. Cooking and baking

They say that baking is a science and cooking is an art, but they both involve maths. Following a recipe involves measuring ingredients accurately, converting temperatures or measurements from imperial to metric, and using ratios to adjust the results. If you want your kids to be able to bake the perfect cookie, maths is the secret ingredient!

8. Computers and technology

Computer programmers and software designers use maths in all sorts of ways. Algebra is used to develop algorithms, statistics helps users analyse data, and calculus powers graphs and images. Video game animators and designers also need maths – they use algebra and trigonometry to build characters and other elements that move realistically on the screen.

Understanding how to use maths in everyday life can help your child discover that maths is relevant to what they are most interested in – and not just in school!

Times of San Diego

Times of San Diego

Local News and Opinion for San Diego

Mission Valley’s Creekside Park Wins “Project of the Year” from Public Works Association

Shi Bradley

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Photo of Creekside Park in Civita, San Diego.

Creekside Park in Mission Valley was named “Project of the Year” at this week’s San Diego/Imperial County American Public Works Association awards presentation, officials announced Wednesday.

The 1.3-acre linear park, comprised of elevated walkways, a children’s play site, picnic areas and an off-leash dog run, extends from Friars Road to Civita Boulevard and is adjacent to the 14.3-acre Civita Park .

The park contains a large dam-like stone retaining wall at the entrance near Friars Road, which is inspired by the Old Mission Dam that spans the San Diego River in Mission Trails Regional Park, officials said.

Sudberry Properties developed Creekside Park in partnership with the city of San Diego’s Parks and Recreation Department, in support of the Civita community’s mission to create a green, livable future. Civita is a new, sustainable transit-oriented village in San Diego’s Mission Valley.

Latest Public Park Opens in Growing Civita Urban Village in Mission Valley

Creekside Park also features built-in basins meant to mimic a natural creek. These basins are part of the community’s extensive bio-filtration system, which treats and cleans runoff before it flows into the San Diego River, according to officials.

Creekside is one of many parks being built in the Civita area. This collection of parks, stretching from Friars Road in Mission Valley to Phyllis Place in Serra Mesa, is more than 80% complete, officials said.

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Last week, the center-left labour party won the british general election in a landslide..

presentation on mathematics in daily life

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For more than a decade, Britain has been governed by the Conservative Party, which pushed its politics to the right, embracing smaller government and Brexit. Last week, that era officially came to an end.

Mark Landler, the London bureau chief for The Times, explains why British voters rejected the Conservatives and what their defeat means in a world where populism is on the rise.

On today’s episode

presentation on mathematics in daily life

Mark Landler , the London bureau chief for The New York Times.

Keir Starmer stands behind a lectern wearing a suit with a red tie and smiling. Behind him is a crowd cheering and waving the U.K. flag.

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Five takeaways from the British general election.

The Conservatives have run Britain for 14 years. How have things changed in that time?

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We aim to make transcripts available the next workday after an episode’s publication. You can find them at the top of the page.

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mathematics in our daily life

MATH IN DAILY LIFE

May 24, 2015

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Presentation Transcript

Mathematics in our daily life A presentation byA.MADHAN

HOW MATHS CAN SAVE YOUR LIFE AND HELP YOU SEE THE WORLD IN A DIFFERENT WAY A.Madhan KENDRIYA VIDYALAYA MEG & CENTRE

SOME COMMON VIEWS OF MATHEMATICS • MATHS IS HARD • MATHS IS BORING • MATHS HAS NOTHING TO DO WITH REAL LIFE • ALL MATHEMATICIANS ARE GEEKS!!!! BUT THE TRUTH IS THAT MATHS IS IMPORTANT IN CRIME DETECTION, MEDICINE, FINDINGLANDMINES AND EVEN DISNEYLAND !!!!!!!!!

The modern world would not exist without maths With maths you can tell the future and save lives Maths lies at the heart of art and music DID YOU KNOW THAT -

MATHS AND CRIME A short mathematical story • Burglar robs a bank • Escapes in getaway car • Pursued by police • GOOD NEWSPolice take a photo • BAD NEWS Photo is blurred

Original Blurred

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

Processed image : Image Processing

MATHS AND PICTURES • PICTURES AND IMAGES ARE ALL AROUND US • TV • DVD • COMPUTER GRAPHICS • SPECIAL EFFECTS IMAGES ARE STORED AS NUMBERS WITH THESE NUMBERS WE CAN PROCESS THE PICTURES BY USING MATHEMATICS

SOME APPLICATIONS PRODUCING THE PICTURES IN THE FIRST PLACE TRANSMITTING THE PICTURES WITHOUT MISTAKES Error Correcting Codes

SOME MORE APPLICATIONS DEBLURRING ORIGINALS FINDING THINGS HIDDEN IN AN IMAGE Edges BrainsLandmines

MATHS AND MEDICINE 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!!

WHAT IS A CAT SCAN?? 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

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

USING SIMPLE MATHEMATICS, WE CAN SAVE OUR SOLDIERS LIVES Land mines are hidden in foliage and triggered by trip wires Trip wires are well hidden – can they be quickly and safely detected??

Find the trip wires in this picture

Digital picture of foliage is taken by camera on a long pole Image intensity f(x,y) Trip wires are like X-Rays R(ρ,θ) f(x,y) • Radon transform • • y ρ • x θ Points of high intensity in R correspond to trip wires Isolate points and transform back to find the wires

Mathematics finds the land mines! Used by the Canadian Peace keeping forces

And now for the most interesting part!!! GUESS WHAT?

The Fibonacci Sequence and Phi

What Is the Fibonacci Sequence? • The sequence begins with one. Each subsequent number is the sum of the two preceding numbers. • Fib(n) = Fib(n-1) + Fib(n-2) • Thus the sequence begins as follows: • 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144….

Fibonacci’s Rabbits • Fibonacci applied his sequence to a problem involving the breeding of rabbits. • Given certain starting conditions, he mapped out the family tree of a group of rabbits that initially started with only two members. • The number of rabbits at any given time was always a Fibonacci number. • Unfortunately, his application had little practical bearing to nature, since incest and immortality was required among the rabbits to complete his problem.

Suppose a newly-born pair of rabbits, one male, one female, are put in a field. Rabbits are able to mate at the age of one month so that at the end of its second month a female can produce another pair of rabbits. Suppose that our rabbits never die and that the female always produces one new pair (one male, one female) every month from the second month on. The puzzle that Fibonacci posed was... How many pairs will there be in one Year?

solution • At the end of the first month, they mate, but there is still one only 1 pair. • At the end of the second month the female produces a new pair, so now there are 2 pairs of rabbits in the field. • At the end of the third month, the original female produces a second pair, making 3 pairs in all in the field. • At the end of the fourth month, the original female has produced yet another new pair, the female born two months ago produces her first pair also, making 5 pairs. If we continue this pattern, we would get 377 pairs of rabbits in one year.

Besides Incestuous Rabbits, What Good Does the Sequence Do Anybody? • The Fibonacci sequence has far more applications than immortal rabbits. • Fibonacci numbers have numerous naturally-occurring applications, ranging from the very basic to the complex geometric.

Fibonacci Numbers in Nature • Many aspects of nature are grouped in bunches equaling Fibonacci numbers. • For example, the number of petals on a flower tend to be a Fibonacci number.

Some F l ower Petal Examples • 3 petals: lilies • 5 petals: Buttercups, roses • 8 petals: Delphinium • 13 petals: Marigolds • 21 petals: Black-eyed Susana • 34 petals: Pyrethrum • 55 or 89 petals:Daisies

Leaves and Branching Plants • Leaves are also found in groups of Fibonacci numbers. • Branching plants always branch off into groups of Fibonacci numbers.

Think about yourself. You should have: 5 fingers on each hand 5 toes on each foot 2 arms 2 legs 2 eyes 2 ears 2 sections per leg 2 sections per arm We could go on, forever citing examples Think About Yourself....

Deeper Applications: The Fibonacci Spiral • Fibonacci numbers have geometric applications in nature as well. • The most prominent of these is the Fibonacci spiral.

Construction of the Fibonacci Spiral • The Fibonacci spiral is constructed by placing together rectangles of relative side lengths equaling Fibonacci numbers.

Construction of the Fibonacci Spiral • A spiral can then be drawn starting from the corner of the first rectangle of side length 1, all the way to the corner of the rectangle of side length 13.

Fibonacci Spiral in nature CauliflowerPine Cone

Some More Fibonacci Applications: Music • Music involves several applications of Fibonacci numbers. • A full octave is composed of 13 total musical tones, 8 of which make up the actual musical octave.

Fibonacci Numbers in Music

Now For the Good Stuff….PHI!! • One of the most significant applications of the Fibonacci sequence is a number that mathematicians refer to as Phi (F). • It looks very similar to Flux. In this case, F refers to a very important number that is known as the golden ratio.

THE DIVINE NUMBER, THE GOLDEN RATIO, THE HOLY RATIO, all refer to this : 1.618 Approximately

So What Is Phi Anyway? • Phi is defined as the limit of the ratio of a Fibonacci number i and its predecessor, Fib(i-1). • Mathematically, this number is equal to: or approximately 1.618034.

Some Mathematical Properties of Phi • Phi can be derived by the equation: • With some fancy factoring and division, you get: • This implies that Phi’s reciprocal is smaller by 1. It is .618034, also known as phi (f).

Some Geometric Properties of Phi • Is there anything mathematically definitive about F when used in geometry? You bet there is. • A rectangle whose sides are in the golden ratio is referred to as a golden rectangle. • When a golden rectangle is squared, the remaining area forms another golden rectangle!

Mathematical Applications of Phi • WithoutF,in order to find any Fibonacci number, you would need to know its two preceding Fibonacci numbers. • But with Fat your service, you can find any Fibonacci number knowing only its place in the sequence!

Finding the nth Fibonacci Number Using Phi: Binet’s Equation

Natural Applications of Phi • Remember how flowers have leaves and petals arranged in sets of Fibonacci numbers? • This ensures that there are F leaves and petals per turn of the stem, which allows for maximum exposure to sunlight, rain, and insects.

More Natural Applications of Phi • How about your body? • You have NO IDEA how many segments of the human body are related in size to each other by F!

A Closer Look at Some Examples of the Body and Phi • The human arm: • The human finger:

The World is No Stranger to Phi (Even if you were up to until a few mintues ago) • When used in dimensioning objects, it has always been thought that F produces the most visually appealing results. • Many marketers have used F in their products over the years to make them more attractive to you. • An extremely basic example: 3 x 5 greeting cards.

There are numerous other applications of the Fibonacci sequence, Fibonacci numbers, and Fthat were not covered in this presentation—simply because there are far too many to list.

“Mathematics expresses values that reflect the cosmos, including orderliness, balance, harmony, logic, and abstract beauty.” ― Deepak Chopra “Since the mathematicians have invaded the theory of relativity I do not understand it myself any more.” ― Albert Einstein

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  1. Maths in daily life

    Maths in daily life. 1. 2. MATHS 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 ...

  2. Maths in day to day life

    2. Mathematics is all around us. It's Everywhere we go. It's in our kitchen, in our house and in our surroundings . Mathematics is used in running shops, business, Cooking and in Every Single Activity we do in our daily life. 3. Maths is an important factor for decoration. For white washing in rooms of the house, we measure the total ...

  3. Role of Mathematics in everyday life

    K. Kajal Satija. I've made this presentation on the occasion of MATHEMATICS DAY for the inter-college level competition. Read more. 1 of 20. Download now. Role of Mathematics in everyday life - Download as a PDF or view online for free.

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    Work done by Kyle Heuton (high school student at Saint Paul) Summary • Math is useful (beyond the grocery store) • Images are composed of numbers • Good math ideas good image processing. Mathematics in Everyday Life. Gilad Lerman Department of Mathematics University of Minnesota. Highland park elementary (6 th graders).

  5. Math in Everyday Life

    Math in Everyday Life - Free download as Powerpoint Presentation (.ppt), PDF File (.pdf), Text File (.txt) or view presentation slides online. Mathematics is an important subject that is useful in everyday life. It forms logical thinking skills and is present in many activities like cooking, banking, medicine, art, architecture, and more. While students often find math boring, it is truly a ...

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    Mathematics, a branch of science which is based on numbers and logic is an indispensable subject of study. The subject plays a significant role in our day to day life. With basic mathematics skills, we can keep a record of our daily expenses, prepare our budget plans, and do our business transactions systematically.

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    Top 10 importance of mathematics in everyday life. Would you like to know the importance of mathematics? If yes, then have a look at this presentation to explore the top uses of mathematics in our daily life. Watch the presentation till the end to explore the importance of mathematics. 312 views • 17 slides

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    Presentation on theme: "Mathematics in Daily Life"— Presentation transcript: 1 Mathematics in Daily Life. 9th Grade Theorems on Parallelograms. 2 Objective After learning this chapter, you should be able to. Prove the properties of parallelograms logically. Explain the meaning of corollary. State the corollaries of the theorems.

  9. Top 10 importance of mathematics in everyday life

    STAT ANALYTICA TOP 10 IMPORTANCE OF MATHEMATICS IN EVERYDAY LIFE Presented by statanalytica Team. Presentation Overview 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.

  10. Math in Everyday Life

    Math in School vs. in Real Life. Whether basic math or advanced math, word problems are the most lifelike. For example, a problem such as ''10 - 3.98 = ?'' is not immediately relevant to real life ...

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    Mathematics is applied directly and indirectly in many aspects of daily life. [Geometry is used in nature like honeycomb cells and in car design with circles, rectangles, and quarter spheres.] [Medicine uses protein modeling and geometry.] [Engineering applies math to determine materials and solar energy.] [Forensics uses calculus to clarify blurred images.] [Trigonometry helps find heights of ...

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    Would you like to know the importance of mathematics? If yes, then have a look at this presentation to explore the top uses of mathematics in our daily life. Watch the presentation till the end to explore the importance of mathematics. - A free PowerPoint PPT presentation (displayed as an HTML5 slide show) on PowerShow.com - id: 8fe524-OWEzN

  13. Practical Applications of Mathematics in Everyday Life

    There are several steps needed in order to solve this problem and answer the questions. First, calculate the volume of the dirt needed to fill the planter box: Volume = 8ft x 2ft x 1ft = 16ft3. Next, divide that number by the volume of dirt provided in each bag to get the number of bags needed for the project:

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    This ppt consist of the applications of mathematics in our daily life - A free PowerPoint PPT presentation (displayed as an HTML5 slide show) on PowerShow.com - id: 74cf0c-YzYyM ... This ppt consist of the applications of mathematics in our daily life - PowerPoint PPT presentation . Number of Views:53955. Slides: 14. Provided by: anushk ...

  15. 8 ways we use maths in everyday life

    Out of the classroom and into the kitchen - and the sports field, on holidays and more - let us count some of the ways maths is used in everyday life. 1. Personal finance. The most obvious place to start is with something we all have to deal with - money. Arithmetic skills are important for creating a budget, making a savings plan or ...

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    Mathematics is found everywhere in nature and daily life. The Mathematics Everywhere & Everyday Exhibition explores how mathematics is expressed in natural patterns, shapes, games, time, astronomy, and real-world applications like banking and engineering. It introduces basic math concepts and shows how math has developed over time to better ...

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    1 The importance of maths in everyday life By.Dr.Mahboob ali khan Phd Mathematics is a methodical application of matter. It is so said because the subject makes a man methodical or systematic. Mathematics makes our life orderly and prevents chaos. Certain qualities that are nurtured by mathematics are power of reasoning, creativity, abstract or spatial thinking, critical thinking, problem ...

  18. Maths in daily life

    Maths in daily life. Nov 14, 2013 • Download as PPTX, PDF •. 43 likes • 64,875 views. AI-enhanced description. Lavanya. For over 2000 years, mathematics has evolved from practical applications to a field of rigorous inquiry and back again. Early civilizations developed basic arithmetic and geometry to solve practical problems.

  19. Mathematics in Everyday Life

    About This Presentation. Title: Mathematics in Everyday Life. Description: Mathematics in Everyday Life Gilad Lerman Department of Mathematics University of Minnesota Highland park elementary (6th graders) What do mathematicians do? - PowerPoint PPT presentation. Number of Views: 237. Avg rating:3.0/5.0. Slides: 25.

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    Mathematics in Daily Life. 17'th group. Siti Zubaidah Purwaning Arum (123174015) Fevri Dwi Cahyani (123174. VIDEO. National Monument ( MONAS ). Monas. Tower or Monument Height of Monas The Construction of Monas. The Construction Was Built By 3 Steps :.

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    If yes, then have a look at this presentation to explore the top uses of mathematics in our daily life. Watch the presentation till the end to explore the importance of mathematics. Read more. 1 of 17. Download now. Top 10 importance of mathematics in everyday life - Download as a PDF or view online for free.

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    The Daily is made by Rachel Quester, Lynsea Garrison, Clare Toeniskoetter, Paige Cowett, Michael Simon Johnson, Brad Fisher, Chris Wood, Jessica Cheung, Stella Tan ...

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    Presentation Transcript. Mathematics in our daily life A presentation byA.MADHAN. HOW MATHS CAN SAVE YOUR LIFE AND HELP YOU SEE THE WORLD IN A DIFFERENT WAY A.Madhan KENDRIYA VIDYALAYA MEG & CENTRE. SOME COMMON VIEWS OF MATHEMATICS • MATHS IS HARD • MATHS IS BORING • MATHS HAS NOTHING TO DO WITH REAL LIFE • ALL MATHEMATICIANS ARE GEEKS!!!!

  25. Mathematics in Everyday Life

    About This Presentation. Title: Mathematics in Everyday Life. Description: Mathematics in Everyday Life Gilad Lerman Department of Mathematics University of Minnesota Highland park elementary (6th graders) What do mathematicians do? - PowerPoint PPT presentation. Number of Views: 27966. Avg rating:3.0/5.0. Slides: 25.