by MaThCliX | Jul 22, 2017 | Math, Teaching and Learning

**Tips for Students and Parents**

**And just like that, another summer is over and a new school year begins! Here are some tips for both parents and students to work together to ensure a successful school year.**

**Students**

**1. Set goals: Write them out clearly and display them somewhere that you see them everyday**

** ex: I will complete my HW before I watch TV**

**2. Get organized: This includes finding a way to organize papers going back and forth from subject to subject. How are you going to know what your assignments are and when they are due? **

**3. Plan: What HW, tests, and quizzes do you have this week? How will you prepare for them? Make sure you plan out your study time.**

**4. Practice: This is how you learn! Make time each day to practice.**

**5. Get Help: Are you not understanding what you are supposed to be learning? Ask! Get help! Go to your teacher, parent, and of course, MaThCliX! That is what we are here for.**

**Parents**

**1. Make sure that you know how to communicate with your student’s teacher. Know when conferences are and plan to have a presence and be proactive in your student’s academics.**

**2. Check grades! Even if your student is old enough to check their own grades, it never hurts to have a parent checking, too. Know when progress reports and report cards are due. If you see grades dropping, intervene quickly!**

**3. Make sure your student is doing the success tips for students. Ask them how they are doing each one.**

**4. Find out about what student’s are learning each week so that you can help or get help, as needed. Find out about tutorials, teacher websites, and recommended resources.**

**5. Bring your student to MaThCliX! **

by Andy Jiang | May 10, 2017 | Math

You may be discouraged from joining the math team because you don’t think you’re not good at it, but like many other things in life, you can get better at math by working hard at it and with the proper attitude. All you need is a love of math, the desire to make yourself better, and a winning attitude. If you don’t like math, then maybe joining math team can change your opinion on math. At math competitions, you commonly get problems that require you to think outside the box and think of creative solutions, unlike traditional high school math. If you are interested or just want to try it out, talk to your school’s math team coach and ask him or her about joining the team. He or she would be more than willing to help you out. If your school doesn’t have a team and you want to start one, take initiative and find a teacher who is willing to sponsor and coach a math team. There are lots of math competitions in Georgia every year, where you get a chance at showing off your math skills, finding opportunities to improve, and simply having fun. If you see a problem you don’t understand, don’t feel discouraged. If you are willing to learn the tricks, you will get better and better at it, and eventually, if you do consistently well at math competitions, you can make it on one of Georgia’s state ARML teams, where the best are selected from all over Georgia to compete in a competition involving teams from all over the US and even from other countries, like Colombia and China. You get to interact with kids who love math just like you from all over Georgia and stay at a dorm at the University of Georgia to #DoMaTh and/or socialize with the kids and compete for a chance for fun and international glory.

by Andy Jiang | Apr 18, 2017 | Math

# Why I Don’t Like Mathematical Induction

Everybody has opinions, and you can even have opinions about math. I, for one, don’t particularly like the method of mathematical induction. Why? Because it doesn’t completely tell you “why”. For example, you can use mathematical induction to prove that 1 + 2 + 3 + 4 + … + n = n(n+1)/2. Great, we know that the formula works, but where does the formula come from? A much more elegant method to prove that formula is derivation. There are many ways to derive that formula, and one method is by writing 1 + 2 + 3 + 4 + … + n forwards and backwards and by adding them together twice. That way, you can see how twice the sum would be n(n+1) (see the visual), so the sum would be n(n+1)/2. By deriving the formula, you see why the formula is the way it is, and you’ll be able to connect the formula to the nature of the series. Also, mathematical induction is not a method to make equations, as it can only be used if the equation is given. With induction, you may prove old equations, but with derivation, you’ll be able to make new equations.

by Andy Jiang | Mar 28, 2017 | Math

**Cool Thing About Pythagorean Triplets**

There is a cool property of all odd numbers except one, they can all form Pythagorean triplets. A Pythagorean triplet is any set of positive integers a, b, and c that satisfy the equation a^{2 }+ b^{2 }= c^{2}. For example, a= 3, b= 4, and c= 5 is a Pythagorean triplet because 3^{2 }+ 4^{2 }= 5^{2}. If a is any odd number except 1, it can make a Pythagorean Triplet of the form a= a, b= (a^{2 }– 1)/2, and c= (a^{2} – 1)/2 + 1, or b + 1. You can prove this by substituting b and c with b= (a^{2} – 1)/2 and c= (a^{2} – 1)/2 + 1 in the equation a^{2 }+ b^{2 }= c^{2}. “a” cannot be even for this case because if a were even, (a^{2 }-1)/2 would not be a whole number, and a cannot be one, because then, b would be zero. For all other odd numbers, this would work, and Pythagorean Triplets of this form include…

a= 5, b= 12, c= 13

a= 7, b= 24, c= 25

a= 9, b= 40, c= 41

by Kira Pyronneau | Mar 28, 2017 | Math

**Setting Goals for the Semester**

As you progress through a semester, it is important to continuously assess your progress and set new goals for yourself. This is an important thing to do because it makes you more aware of how you are performing and helps you to create a focused path for the remainder of the term. Furthermore, setting goals helps you to better organize your limited time and resources available as well as improve your motivation

**Assess Your Progress:**

The first step to goal-setting is to assess your current progress. This includes knowing the grades you have received as well as the study habits you used to get them. Make a note of whether you have been doing things like reading the textbook, taking notes in class, completing your homework or thoroughly reviewing before tests. It is also important to assess how well you understand the course material as well as if your grades match your perceived understanding.

**Decide What You Want from the Class:**

Before setting defined goals, it is important to think about what you want to get out of the class. Do you want a good grade to raise your GPA? Do you want a strong foundation on a topic that will be important later in your curriculum? Do you want to be more knowledgeable about a subject that interests you? Knowing what you specifically want from a course will give you the motivation to keep focused and continue to work hard.

**Setting Goals:**

Now that you know how you are doing in your courses and what you want to gain from them, it is time to set goals for yourself.

Set goals for things you would like to see occur. For example, maintaining or improving your grades, study habits or your understanding of certain topics. It is important that your goals are both reasonable and specific to keep you motivated and focused.

In addition to setting goals, you need to create a plan to help you reach them. To get the grades that you want, you must understand what study habits you will need to have. Also, you must assess if you need extra help and find out what resources are available to you. The internet may have additional explanations and examples of topics. Additionally, your teacher may be able to give you additional help outside of class. Don’t forget that MaThCliX is also a great resource!

Once you’ve set goals and created a plan for yourself, you will be on track for a focused and productive term. Following the ideas discussed above will help you stay motivated while providing with the skills and resources to get the most out the courses you are taking.

by Brandon Baker | Feb 2, 2017 | Math

**Three Strategies to Conquer MaThCliX Digits of Pi Contest**

On March 14th, MaThCliX will be hosting our third annual Pi Day, which is filled with a variety of activities for students of all ages. The most anticipated event of the day is the “Digits of Pi” Contest. The rules are simple: whoever wants to participate merely has to recite as many digits of Pi, the famous irrational number, as they can (in order, of course). The person that says the most digits of Pi accurately wins a Pi Day t-shirt and a pie/cake! Good luck to everyone competing; I hope you find these tips useful! (P.S. make sure you have the correct digits of Pi pulled up on your phone or computer while attempting to memorize it.)

**Strategy #1:**

One way to memorize the digits of Pi effectively is through auditory learning. Look at the first 5 digits of Pi and say each one of them out loud. Repeat the process four more times while still looking at the correct form of Pi to guide you. Then look away and try to say the five digits by memory. If you get it correct the first time, then repeat it four more times while looking away. However, if you get it wrong the first time, look back at the correct form and repeat the five digits five times while looking again. Next, attempt to say it five times without looking (successfully this time, hopefully). Repeat these steps until you feel like you have those five digits glued to your brain. If you can use this strategy every day for 10 days before the contest, you will have memorized the first 50 digits of Pi!

**Strategy #2:**

Carry around a piece of paper with Pi written on it. Whenever you have a minute to spare either in the classroom or at home, take out the piece of paper and begin writing the digits of Pi by memory, as many as you can do. Then look at the correct form of Pi and assess how you did. Next, write it again, maybe this time adding one or two digits on to the end. If you make this a habit for a week or two before the contest, you are bound for success.

**Strategy #3:**

This final strategy is based off the idea that it is easier to remember numbers that have a purpose rather than a random sea of numbers. What you do is assign phone numbers to each set of ten digits in Pi and then attempt to memorize each phone number. It helps to set patterns within the phone numbers to better remember them: make the first letter of the name for the first phone number an “A”, the first letter of the name for the second phone number a “B”, etc. Also, try making the numbers of letter in each name correspond with the first number in that phone number. Try memorizing one phone number every 2 days, and in 10 days you will know 50 digits.

Everyone is different, so a technique that works for one person might not work for another. Experiment with different memorization techniques and find which one works best for YOU. Also, just a reminder: last year’s winner recited 108 digits of Pi. Good luck, and we’ll see you on March 14th!