FOUR DIMENSIONAL MATHS:

FOUR DIMENSIONAL MATHS:

HINGS TO SEE AND HEAR IN THE 

FOURTH DIMENSION - WITH MATT PARKER

2,138,469 views•Feb 25, 2015

THE ROYAL INSTITUTION

827K subscribers

Matt Parker, comedian and mathematician, shows how four-dimensional shapes appear in a 3D world in this hands-on talk, featuring what is possibly the world's nerdiest knitted hat!

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Buy Matt's book "Things to Make and Do in the Fourth Dimension" - https://geni.us/M2MIA

Discover how to make love hearts from Mobius strips, 4D frames from drinking straws and pipe-cleaners, and other maths tricks in this entertaining talk by Matt Parker. Matt explains how to know when someone's throwing a 4D cubes at you and also what happens when your mum knits a three dimensional shadow of a four dimensional donut - to wear on your head, in this fun talk on the challenges of visualising the fourth dimension.

Matt Parker was an Australian school teacher before he moved to London where he works as a stand-up comedian and a maths communicator. He writes books, appears on radio programmes and TV shows, contributes to newspapers, makes school visits and gives live comedy shows.

This event took place at the Royal Institution on Tuesday 27 January 2015.

Grateful thanks to MATT PARKER, THE ROYAL INSTITUTION and YouTube.

Maths-4: Applications of Trigonometry

Applications of Trigonometry

What you need to know | Free Math Videos

1 January 2020

Brian McLogan

3,81,000 Subscribers

In this video I will show you what you should expect to know before starting your chapter on Applications of Trigonometry.  In applications of trigonometry we will explore solving trigonomtric word problems, law of sines, cosines, vectors, parametric and polar equations.  To prepare for this chapter we will begin by solving for missing values given  parallel lines and a transversal.  Move to finding the missing side and angle of right triangles and end with identifying the angle and length between two points.

I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips.

Want my resources? https://www.youtube.com/channel/UCQv3...

If I helped you in this video, I would love to have you subscribe.

Subscribe here: http://bit.ly/2z813ow

I believe everyone can learn math and it doesn't have to be a struggle. There are three things everyone learning math needs. A belief you can learn math, deliberate practice and a coach for guidance. For more helpful tips and tricks visit my website.

My website

http://www.freemathvideos.com

Grateful thanks to Mr.Brian McLogan, Free Math Videos and YouTube.

How To-37: How to Be Good at Algebra

How to Be Good at Algebra

from wikiHow - The How to Manual That You Can Edit

Have you ever been frustrated at calculation problem? Have you ever thought, "Oh! I could have gotten that one right!!"??? Well, here's where you start.

Steps

1. Review each time your teacher teaches you. If you do not something, ask your parents, your friends, or even your older siblings. They would definitely be glad to help you. You should review the DAY the teacher teaches you because who knows? Maybe the next day you try to review, you will forget. Review while it is still fresh in your mind.
   
2. As much as reviews go, you should also do a prep study. Preparation studies help you. You will know what the teacher is talking about the next time she teaches you a lesson. So prepare for a lesson before the teacher teaches to you. That way, the teacher will not sound like "blah blah blah" and it will start to make sense.
   
3. Ask your teacher during class! Or, if you are a shy type, ask the person sitting next to you. Or, maybe you can ask your friends after class. It has to be AS SOON AS the class is over. You can also ask your teacher after school, if he/she is free.
   
4. Study, study, study! But never cram. Some people think that cramming is good because it makes them want to study more. But no, it is not good. Because you will forget the next day you have a test. They just don't stay in your mind. 2 weeks before the test, study at least 1 hour everyday.
   
5. The more problems you solve, the better. You might think that there is no other ways to study algebra. But the point in solving problems is so that you can get used to the formulas That way, you can solve the problems faster and you can think faster.
   
6. Never cheat! Never cheat on a test. Cheating can get you a big old goose egg, "0". You don't want that to happen do you?
   
7. Do not panic during the test Your mind won't be able to think clearly and you will forget the formulas. Do NOT panic.
   
8. Accept your grades. That's right, accept it. When you get your test back and found out that you have a bad grade, accept it. This is what you should do when you get your tests back.
   
• Look at your score. Do you want to make it better? Never think, "Hurray! I got 100! Now I don't have to study anymore!" If you think that, then you will get a bad grade because you will feel that there is no need to study. If you get a 100, just think, "I'll have to keep it up!"
  
• Make corrections. Solve the problems you got wrong again and again until you get it right. Review each day. Make the problems you don't know in one of you studies.
  
• Reflect on your scores.
  
9. You will be a pro in algebra in no time!

Tips

• Best time to study is in the mourning as soon as you wake up, maybe after breakfast. Do simple calculations. It can clear your mind and can help you study on other subjects. Your mind won't go blurry.

Warnings

• Don't study too much or you will get the formulas mixed up. Never overdo.

Related wikiHows

• How to Understand Slope (in Algebra)
  
• How to Solve Systems of Algebraic Equations Containing Two Variables
  
• How to Survive Pre Algebra and Not Go Down in It
  
• How to Learn Algebraic Topology

Article provided by wikiHow, a collaborative writing project to build the world's largest, highest quality how-to manual. Please edit this article and find author credits at the original wikiHow article on How to Be Good at Algebra. All content on wikiHow can be shared under a Creative Commons license.

How To-11: How to Solve Math Problems

from wikiHow - The How to Manual That You Can Edit

Math is a difficult subject for many people, but with basic knowledge of mathematics, as well as understanding the math question, it can become relatively easy.

Steps

1. There are many different math problems, here are some tips to help you out.
   
2. Pay attention in class, sit away from people that distract and put away stuff that distracts you.
   
3. When the teacher is talking don't hold a pencil, that way you are not tempted to draw on your page.
   
• If you really have to be distracted, do so after you thoroughly understand the basics of the topic your teacher is currently teaching.
  
4. After each math lesson, try to write down the key points somewhere on a piece of paper, and file it somewhere. Also try to write down the different sample problems from that topic, as well as the different solutions needed to solve it. If a problem can have more than 1 way of being solved, write down all the ways. This is because most math problems have an easy way and a hard way to solve, and the easy way may be a different method each time. Your own notes are much more effective than school notes or reference books, since you have written them yourself and understand them.
   
5. If you really have no idea how to do a question, get the solution somehow, either from a teacher or a friend, and jot down notes at the side of each step of working, explaining to yourself why it is done. You may then even look through it and see if there is a shorter way.
   
6. Spend a lot of time practicing, as not doing a topic for 1-2 weeks will make you forget the principles of it. This may not be true with elementary math, but with further math, applications of math (such as statistics and mechanics), lack of practice will really ruin your chances at solving a math problem.
   
7. It helps if you have a firm foundation in algebra and know how to manipulate equations, as these are the corner stones of math in school and are really the basic basics.
   
8. Try to understand and not just memorize. This is essential as questions can be easily modified to make a standard working invalid.
   
9. If stuck, try to approach the problem from different points of view. For example, if you get stuck on a proving question (ie, for LHS = RHS), try working on the LHS, then RHS, and see if the two meet anywhere in the middle. Or if you need to show an expression is positive or negative, and cannot do it algebraically, a graphical method might help. Basically, be creative in math problems and the answer will be there.

Tips

• If you need more help stay after school.
  
• Get a smart friend to help you.
  
• Use your school's library, or a public library to check out mathematical reference books. Some of these have a lot of examples and clear explanations, which may be better than what your teacher is doing.
  
• Get your parents to help or hire a tutor.
  
• Math teachers will love to help you after school or before school or in one of your free blocks. Make sure you thank them!
  
• Instead of asking for a solution, try asking for a hint and try solving the problem again. You always learn more by solving the problem yourself than reading someone else's solution.

Warnings

• Remember to have fun and not over stress yourself.
  
• Don't take advantage of your smart friend. If you need a lot of help don't always ask them.
  
• Putting yourself down and saying you're stupid is a bad way to learn.
  
• Don't do math homework really late.
  
• Graphic calculators nowadays can solve a lot of math questions easily without any thought. Do not abuse them, but rather use them as aids to solving the question.

Related wikiHows

• How to Write an Ode About Math
  
• How to Do Math Proofs
  
• How to Do Long Multiplication
  
• How to Add 5 Consecutive Numbers Quickly
  
• How to Learn Math
  
• How to Study Math

Article provided by wikiHow, a collaborative writing project to build the world's largest, highest quality how-to manual. Please edit this article and find author credits at the original wikiHow article on How to Solve Math Problems. All content on wikiHow can be shared under a Creative Commons license.

How To-3: How to Learn Math

How to Learn Math

from wikiHow - The How to Manual That You Can Edit

Here are some important things to remember when learning mathematics (known as math or maths for short). Learning mathematics is like learning another language, so at first it will be hard but it will get progressively easier. A lot of concepts in mathematics are inter-related, so knowing one helps you understand many others. Being frustrated is not a problem, it is a natural part of the learning process, so don't give up.

Steps

1. Create learning time. Make sure you have at least an hour a day to dedicate to learning mathematics.
   
2. Become acquainted with the vocabulary. Keep a mathematical dictionary by your side as you study. Many areas of mathematics require knowing a certain amount of mathematical vocabulary and it is less frustrating to be able to quickly look up the meanings.
   
3. Get at least two reference books on set theory. This way, you will have two different explanations and one of the explanations may make better sense to you than the other; or a combination of both will help you to "get it".
   
4. Tackle subjects along with their prerequisites. Many concepts are related and knowing one helps you understand the other. If you didn't grasp one concept as well as you should have earlier, set aside a little time to revisit it and learn some more and then combine it with the new concept. Often, the new concept will help the older one to gel in your mind.
   
5. Progress through the levels of mathematics. Work your way up to advanced mathematics through this progression: Basic algebra, basic geometry, basic calculus, intermediate algebra, regular calculus, number theory, linear algebra, advanced algebra, combinatorics, analysis, topology.
   
6. Practice with many problems. Do as many mathematics problems as you can lay your hands on - even those beyond the class. This will assist you in getting a good feel for the topics and will likely help much of mathematics become "second nature" to you.
   
7. Always ask for help if you don't know how to do something. Also never stop trying to learn something because you say it is to hard keep working at it.

Tips

• Frustration is part of the process so don't give up just because you have a hard time understanding some concept.
  
• Tackle all the basic stuff all at once and spend an hour every day learning one of the basics like algebra and geometry.
  
• A good tutor once a week can really help to straighten out math problems; make sure your tutor is very understanding and can express the concepts well. Try university level students as a good source of tutors.
  
• Regular practice will ease your challenges.
  
• It cannot be stressed enough: Frustration is part of the process so don't give up.

Warnings

• Like any other worthwhile endeavour, the study of mathematics is not easy; persistence and focus can help you excel in your efforts.

Things You'll Need

• Books and lots of them, unless of course one of your relatives is a math professor; in which case you can just borrow their books. They'll be more than willing to help you!

Related wikiHows

• How to Get into a Great College
  
• How to Do Better on the SAT
  
• How to Learn English
  
• How to Get a Good Grade on a Math Test
  
• How to Solve the Flash Mind Reader

Article provided by wikiHow, a collaborative writing project to build the world's largest, highest quality how-to manual. Please edit this article and find author credits at the original wikiHow article on How to Learn Math. All content on wikiHow can be shared under a Creative Commons license.