What Should You Charge for Your Singing Lessons

What Should You Charge for Your Singing Lessons Deciding What to Charge for Tutoring Jobs as a Voice Coach ChaptersPrices for Music and Singing Lessons on SuperprofHow Geographical Location Affects the Price of Music LessonsHow Experience Affects PricePrice Depending on the Profile of Your StudentsBonus Tips for Singing TeachersBefore you become a singing teacher, you’ll need to find some students.In order to do this, one of the first things to consider is the cost of your services.Even if you have little experience with money and are new to the world of business, getting your head around your business’ financial situation is indispensable.So, how do you settle on a price for your singing lessons?There are many factors that come into play when finding the right rates to charge. Bear in mind that the cost of your services should not reflect what you want to earn, but what you are providing. CalumDrama School Entrance Teacher 5.00 (15) £50/h1st lesson free!Discover all our tutors ToriSpanish Teacher 5.00 (1) £15/h1st lesson free!Discover all our tutors OliviaSchool support Teacher 5.00 (2) £21/h1st lesson free!Discover all our tutors MarkESOL (English) Teacher 4.76 (17) £20/h1st lesson free!Discover all our tutors YuweiChinese Teacher 4.33 (6) £19/h1st lesson free!Discover all our tutors JenniferMusic reading Teacher 5.00 (1) £30/h1st lesson free!Discover all our tutors LouiseAutoCAD Teacher 5.00 (3) £60/h1st lesson free!Discover all our tutors RickyPercussion Teacher 5.00 (7) £35/h1st lesson free!Discover all our tutors NicolasGuitar Teacher 5.00 (2) £35/h1st lesson free!Discover all our tutors MyriamOrganic chemistry Teacher 5.00 (13) £20/h1st lesson free!Discover all our tutors JonathanEconomics Teacher 5.00 (9) £40/h1st lesson free!Discover all our tutors Oluwakemi imoleMaths Teacher 5.00 (1) £30/h1st lesson free!Discover all our tutors AlexPhysics Teacher 5.00 (1) £50/h1st lesson free!Discover all our tutors AdamSinging Teacher 5.00 (14) £48/h1st lesson free!Discover all our tutors ValentiniMusic reading Teacher 5.00 (2) £50/h1st lesson free!Discover all our tutors MilenaMaths Teacher 5.00 (5) £25/h1st lesson free!Discover all our tutors RashmiEconomics Teacher 5.00 (1) £35/h1st lesson free!Discover all our tutorsPrices for Music and Singing Lessons on SuperprofIt’s no secret that music lessons at a music college or specialist organisation can be quite costly. Thankfully, there is the option of finding a private music tutor.Finding an instructor through Superprof saves clients money and gives them a wider choice of tutors, putting the customer in the driving seat.As a tutor, the low pricing may worry you.However, rest assured that the higher prices charged by music-teaching organisations are linked to the wider running costs of the institution. As an independent vocal coach, your general costs will be lower, and so you will be able to keep a larger portion of the money you earn.Advertise your services online with Superprof ¦ source: SuperprofIf you choose to advertise your services on Superprof, you will be joining a community of over 900 singing teachers.The average hourly rate for singing instruction is £27.55 â€" slightly higher than the average for music lessons.For instance, lessons in music theory generally cost around £23 per hour, and tariffs for learning musical instruments also vary:Piano, £24.40Violin, £23.86Drums, £21.38Trumpet, £31.40Guitar, £23.36Of course, there are many reasons for the large variation in pricing for music lessons.For example, the guitar is a more accessible instrument than a cello, and there are more teachers available, so prices are lower because of the rule of supply and demand.However, the prices cited above are only mean averages, meaning that there is variation within each individual field. This variation depends on many factors including the profile of the tutor, geographical location, and the type of coaching being offered.How Geographical Location Affects the Price of Music LessonsThe second most important thing to consider when d eciding on your rates is your direct competition.Take some time to get to know the market for singing lessons in your area. This means having a look at the services offered by others and what they charge.You can check advertisements in the local press or use an online platform such as Superprof to advertise online tutoring jobs.By doing a simple search on Superprof, you can take a look at the average price per hour for your town or city as well as the availability of singing teachers in your area.Here are a few examples of the hourly rates for singing lessons which you might find. As you can see tutoring jobs London offer the best rates: £28 per hour in London £21 per hour in Manchester £27 per hour in Edinburgh £13 per hour in Sheffield £27 per hour in Bristol £21 per hour in Birmingham £23 per hour in LeedsOnce you’ve found the average price for singing tuition in your area, you’ll be in a better position to settle on your own rate. CalumDrama School Entrance Teacher 5.00 (15 ) £50/h1st lesson free!Discover all our tutors ToriSpanish Teacher 5.00 (1) £15/h1st lesson free!Discover all our tutors OliviaSchool support Teacher 5.00 (2) £21/h1st lesson free!Discover all our tutors MarkESOL (English) Teacher 4.76 (17) £20/h1st lesson free!Discover all our tutors YuweiChinese Teacher 4.33 (6) £19/h1st lesson free!Discover all our tutors JenniferMusic reading Teacher 5.00 (1) £30/h1st lesson free!Discover all our tutors LouiseAutoCAD Teacher 5.00 (3) £60/h1st lesson free!Discover all our tutors RickyPercussion Teacher 5.00 (7) £35/h1st lesson free!Discover all our tutors NicolasGuitar Teacher 5.00 (2) £35/h1st lesson free!Discover all our tutors MyriamOrganic chemistry Teacher 5.00 (13) £20/h1st lesson free!Discover all our tutors JonathanEconomics Teacher 5.00 (9) £40/h1st lesson free!Discover all our tutors Oluwakemi imoleMaths Teacher 5.00 (1) £30/h1st lesson free!Discover all our tutors AlexPhysics Teacher 5.00 (1) £50/h1st lesson fr ee!Discover all our tutors AdamSinging Teacher 5.00 (14) £48/h1st lesson free!Discover all our tutors ValentiniMusic reading Teacher 5.00 (2) £50/h1st lesson free!Discover all our tutors MilenaMaths Teacher 5.00 (5) £25/h1st lesson free!Discover all our tutors RashmiEconomics Teacher 5.00 (1) £35/h1st lesson free!Discover all our tutorsHow Experience Affects PriceIf you go into detail when researching the prices asked by other singing teachers, you will quickly realise that cost varies according to the profile of each teacher.Your personal experience and level of qualification in singing are important factors to consider when setting your rates.For instance, if you look are the rates of singing teachers in London, you’ll see that they range from £15 to £75 per hour.But what justifies this large gap?The skill and knowledge of the voice teacher themselves.Singing teachers generally fall into one of three distinct categories. Identifying your own category can help you reach a decision on your prices:Self-taught singers: These are amateur singers who usually have a lot of personal experience with performing both alone and as part of a choir.Music undergraduates: learning from someone who is educated to degree-level in music gives learners an opportunity for a level of classical vocal training.Professional voice coaches: Professional teachers are usually found in music colleges or as members of music teaching agencies. As they teach singing full-time, they are more likely to be highly-experienced and offer a range of services encompassing ear training, singing techniques to avoid straining and maintaining vocal health, throat relaxation, and increasing their student's vocal range.Since tariffs usually reflect the teacher’s level of experience, highly experienced teachers will be able to charge more for their services than a self-taught vocalist. This is simply because they will be in a better position to respond to specific demands and easily personal ise their services.Your musical background may affect what you can charge ¦ source: VisualhuntWithin the discipline of singing, there are many genres and vocal techniques to learn about. For this reason, the content of singing lessons varies greatly from teacher to teacher.However, regardless of style, it is always important that students master the singing techniques that underpin a strong musical voice. Teachers should advise students on their posture, breathing techniques and controlling their vibrato.All of these elements help students to use their voices to their full potential whilst looking after their vocal chords, and their complexity may mean that such instruction is limited to professional singing teachers.This is why it is important that you justify your pricing with details of your experience with singing and teaching others how to sing.Here are a few things you may wish to include:Singing qualifications/Grade certificatesProfessional experience (as a singing coach)Art istic experience (as a performer)Other musical abilities (playing the piano, for example)When it comes to musicianship, you will notice that a large number of singing teachers are also musicians in some other capacity. Playing an instrument such as the piano or the guitar is especially useful for students, as it offers them an accompaniment to their singing.So, there are many factors that come into play when you start thinking about the content of your lessons. Even though being able to provide a piano accompaniment is useful, there are always alternatives if you don’t play the piano. For instance, there are plenty of orchestral backing tracks that can be purchased or downloaded for the use of singers.Price Depending on the Profile of Your StudentsThe final factor to consider before you set a price is the profile of your prospective students.If you ensure that your pricing is adapted to the needs and goals of your students, your rates will remain attractive whilst reflecting the t ype of tuition you will be providing.This is why it is useful to consider your target market before you enter the world of singing lessons. Just as the lesson content of grade 1 singing will differ from that for grade 8, prices also differ.For example, beginners’ singing lessons will require far less lesson preparation than lessons for exam preparation, and this justifies the difference in price.Similarly, if you’re teaching a highly-accomplished singer, there will be a higher level of personalisation required in singing lesson planning.Target your advertisments towards those you wish to teach ¦ source: VisualhuntIt goes without saying that the teacher’s level of competence in singing should be significantly higher than that of their student.Learning from a more advanced musician gives students a solid musical base before they begin honing their finer skills such as improving their tone and the quality of their vibrato. Learn about the right singing equipment for singing clas ses.Bonus Tips for Singing TeachersBesides adapting your general hourly rate for the profile of the students you wish to attract, it can also be useful to offer various prices based on other criteria, such as:1st hour freeGroup rates for those who arrange lessons togetherReduced rates for lessons lasting longer than 1 hourPricing for intensive singing coursesReduced prices for online lessons (via Skype)Once you have decided on your pricing and begin creating your profile, make clear the type of teaching you are able to provide.The more detail you provide on your abilities and the format of your lessons, the higher the likelihood that you receive enquiries from your target students.You may want to highlight things such as:Your specialism in a certain field (classical, jazz, opera, gospel, etc.)Experience with leading a chorus or singing workshopsYor ability to train performers for auditions and help them overcome stage fright and improve confidenceYour knowledge of different singing techinques  (leading a warm up, breath control, using the head voice, using the diaphragm, etc.)Putting the right price on your services and justifying it with your level of experience and teaching abilities will increase your chances of finding singing students who are as passionate and motivated as you are.

7 Singing Experts Share Their Best Music Biz Advice

7 Singing Experts Share Their Best Music Biz Advice Suzy S. Here at TakeLessons, were passionate about helping students achieve their dreams, reach their potential, and receive the guidance they need from professionals ready to pass on valuable singing tips, knowledge, and encouragement. We talk about our singing teachers a lot, and have even featured many of them here on the blog. But we also know theres a lot of advice worth noting in other corners of the web. So we scoured the Internet, searching for other professionals, vocal coaches, and performers who could provide their own two cents namely, what does it take to make it in the music industry? For those singers who aspire to be in the studio, on stage, or breaking records, what does it really take to get there? What one piece of advice would you give to someone who wants to be a professional singer? Heres the advice we rounded up. Sign up for Toms  Broadway VoiceBox program here! Download Wades eBook, The $150,000 Music Degree  here! Download Cheryls eBook, In The Key of Success,  here! (Note: Shes actually one of our teachers, too!) Readers, what do you think? What are the best singing tips youve ever received about breaking into the music industry? Let us know in the comments section below! Interested in Private Lessons? Search thousands of teachers for local and live, online lessons. Sign up for convenient, affordable private lessons today! Search for Your Teacher Photo by  Maurice

What It Means To Become A Heart Math Tutoring Volunteer

What It Means To Become A Heart Math Tutoring Volunteer What It Means To Become A Heart Math Tutoring Volunteer What It Means To Become A Heart Math Tutoring Volunteer September 15, 2015 Heart Math Tutoring volunteers commit to weekly tutoring sessions that last either 30 minutes or one hour and can team up with friends, family and colleagues to be “partner tutors.” A Heart staff person is on site at all times to make sure tutors have what they need. “We tell our volunteers that 50 percent of your job is to deliver the curriculum and then other 50 percent is to be a positive influence,” says Emily Elliott, Heart’s Executive Director. Watch this 90-second video to learn more about becoming a #VolutneerWithHeart for elementary students in Charlotte-Mecklenburg Schools. Click here to become a volunteer.

What Have We Done Present Perfect and Climate Change

What Have We Done Present Perfect and Climate Change You have probably heard about Before the Flood, a documentary starring Leonardo DiCaprio, UN Messenger of Peace (and Titanics handsome king of the world).  If you havent watched it yet, I highly recommend streaming  the film for free here  on youtube.I dont know about you, but I left the film feeling a bit depressed about how much humans have already destroyed the planet.  A friend asked me if theres at least a hopeful message at the end, and my answer was yes and no.  The hopeful part  was that many countries finally got together and signed the Paris Climate Agreement.  This means that these countries must lower their carbon emissions.  The depressing part?  Many people say its not enough, and temperatures could still rise above the goal and create catastrophic damages.  Heres a helpful article if youre interested in learning more about the agreement.So, lets put  our own positive spin on this horrifying situation, and use it to practice the present perfect tense!Structure:   have/has + past participleUses:An action that began in the past but still continues.An action that happened in the indefinite past (no particular date) and is important to the current situationAn action that happened in the past but the time is not mentioned.Listening practice:  Now, listen to Leos speech, and fill in the blanks with the present perfect tense.  Write your answers in the comments section below.As a UN Messenger of Peace, I ____ ________  all over the world for the last two years documenting how this crisis is changing the natural balance of our planetI ____ ____  cities like Beijing choked by industrial pollution.Ancient Boreal forests in Canada that ____ ____  clear cut and rainforests in Indonesia that ____ ____  incinerated.In India, I met farmers whose crops ____ ____ literally ______  away by historic flooding.In America, I ____ _________  unprecedented droughts in California and sea level rise flooding the streets of Miami.All that I ____ ____  and _______  on my  journey ___  absolutely _________  me.It ___ ______  a runaway freight train bringing with it an impending disaster for all living things.Writing practice:  We always love to hear your thoughts and opinions about these topics!  Answer the following questions using present perfect tense in the comments section below.Have you seen this film?  What did you think of it?What have you done to help the climate?What have you done to hurt the climate?Have you seen evidence of climate change in your hometown?Sign up for a class today to discuss current events like this one with a native speaker!

Why You Should Get a Test Prep Tutor Over the Summer

Why You Should Get a Test Prep Tutor Over the Summer Why You Should Get a Test Prep Tutor Over the Summer Summer is the perfect opportunity just to kick back, relax, and enjoy some time away from the classroom. However, students entering their college prep years may want to think about spending some of that time working on SAT or ACT prep with a private tutor. It can be overly complicated to worry about college visits and applications, test prep, advanced placement classes and so on during the school year so why not get some of that out of the way in July and August. There are lots of different ways students can work on test prep but working with a private tutor allows them to focus in on the issues they have and only the issues they have so they dont spend time reviewing subjects they already know. 1. Less time more concentration Students who work with a private test prep tutor over the summer will find that they don’t need as many hours to reach their goals are if they were in a larger classroom environment. The advantage of having a one-on-one tutor is that the tutor can assess the student’s personal needs based on a practice test and their college goals. Once this is completed the student and tutor can work together to improve the areas they have a weakness in and simply review all other areas. This can save a lot of time and frustration and allow the student to enjoy the majority of their summer (READ: 5 Awesome SAT Apps). 2. The comfort of your own home The nice thing about having a private tutor is that they can work with a student in the privacy and comfort of the student’s home. This can allow students to enjoy a summer fun schedule while fitting in test prep sessions. Theres no reason why students shouldnt be able to participate in summer sports, family field trips, vacations and so on while still working on their college goals.   Additionally, many students feel more comfortable building a rapport with a tutor who can answer questions privately instead of in front of a class. 3. Focusing on one thing at a time Preparing for advanced placement classes and general academic obligations can become extremely stressful. Working with a private test prep tutor over the summer can help reduce the amount of responsibility the student has during the school year. During the summer, students can focus on one thing at a time starting with a basic assessment and then moving on to math, English, and essays. This provides a lower pressure environment that can help high school students succeed while keeping mental stress as low as possible. 4. Working towards college admissions Working with a private test prep tutor over the summer can help students work towards their college admissions goals. A student who wait until the last minute often finds that there were one or two crucial things they forgot about. When this happens, they may end up not being able to apply to their dream colleges or may find they spend their senior year scrambling to get everything done on time. When students start early, they have a chance to work towards college admissions and improve their ACT and SAT scores, so they have a great chance when they send out their applications (READ: Switching schools? 5 Things to do this summer). 5. Extra time and multiple opportunities Working with a private tutor over the summer also allows students to have extra time to study for the test and gives them multiple opportunities to take it. If students start the summer before their junior year, they will be able to take the real test in the fall and see how they do. If they have not quite reached the score, they want they still have several months to improve. Students who leave extra time to work on test prep tend to have more realistic goals and are more likely to reach them. Its never too early to start prepping for a major test. From the SAT to the ACT, TutorNerds offers summer test prep tutoring for all major tests. Call us today for more information. All blog entries, with the exception of guest bloggers, are written by Tutor Nerds. Are you an education professional? If so, email us at pr@tutornerds.com for guest blogging and collaborations. We want to make this the best free education resource in SoCal, so feel free to suggest what you would like to see us write.

The Top 5 Interview Pitfalls - by TutorNerds

The Top 5 Interview Pitfalls - by TutorNerds The Top 5 Interview Pitfalls: How to Lose a Job in 30 Minutes Everybody who is in their mid career remembers how difficult it was to be interviewed for an entry-level position. Most new applicants dont know about the most common pitfalls, simply due to the fact that they havent received any feedback. Companies rarely give applicants feedback as to why they didnt receive an offer. It becomes exceedingly frustrating for a recent college graduate to continually be told “thank you for your interest but we have gone another way” without knowing how to improve. There are a few things that most new job-seekers can either do or avoid doing to prevent undue confusion. Need extra help with your interview? Our Orange County admissions consultants have a 97% success rate and are experts in interview preparation. 1. Not asking any questions Although it can be nerve-racking to ask a number of questions, its crucial to have multiple inquiries prepared. At the end of the interview, the applicant will be asked do you have any questions and if they answer no the interview is essentially over. Appropriate questions will vary depending on the field, however new job-seekers should have a minimum of 3 to 5 questions about the job its self prepared to let the HR department know that they are both interested in the job and knowledgeable about their field. 2. Saying this would be a great opportunity for me to learn more about the field” This is only okay to say in the case of an internship. Of course, the point of an internship is to learn about the field and the majority of interns are paid minimum wage or in college credits. Job-seekers with a baccalaureate degree should be aware that the interviewer already knows its a good opportunity for them, this goes without saying for an entry-level applicant. Even though it may have been a simple nervous faux pas, these types of statements make an applicant appear self-centered and implies that they may not be able to work well in a group or that they simply arent ready to focus on self-improvement and constructive criticism within the company (CLICK: Top 10 Things Not to Say in an Interview). 3. Asking “when should I expect a raise?” Although good companies generally offer a token raise after the first 12 to 24 months, this should never be inquired about at the interview. Of course, money is a large part of having a job; everybody has bills to pay after all. However, if the job-seeker appears to be overly money oriented it generally results in an alternate candidate being hired. Although it’s absolutely okay to discuss a starting salary range, applicants should not inquire about a raise until they have been with the company for a minimum of one year. 4. Stating or conveying that the applicant doesnt have any experience in the field Entry-level employees generally do not have any direct experience with a particular company but everybody has some kind of skill that they can apply to the job. Job-seekers who have absolutely no knowledge of the field should probably apply elsewhere. Entry-level applicants should think about other things they did that can add to the company and are strongly encouraged to gather a list of all their skills, either directly or indirectly related to their new field, prior to arriving at an interview. 5. Saying “I have no weaknesses” when asked what is your least desirable quality during the interview This is a common question that most people hate being asked. Finding a job is all about self promotion and discussing weaknesses seems like a bad idea. Many applicants exclaim that their worst quality is that “they are too organized” or that they have too many friends”. Interviewers dont appreciate a weakness being disguised as a positive attribute (in this case the weakness is lack of humility) and they have all heard these types of answers before (READ: 6 Tips For A Successful Skype Interview). Its important for a job-seeker to think about what their true weaknesses are. For example, some people have a lot of trouble getting up in the morning and others find it difficult to work late into the evening. Some people prefer to be a leader while others are more comfortable following somebody elses instructions. If an applicant explains that they are more comfortable in a group then taking charge, they will probably not receive a leadership position but they may be offered an excel lent position working as a member of a team. Its necessary for applicants to be honest and admit that they are human just like the rest of us. In Short 2015 is a difficult time to find an entry-level position, however, its important that, if an applicant does receive an interview for their dream job, that they dont lose it to one of these common pitfalls. Preparation is the key to a successful interview experience. All blog entries, with the exception of guest bloggers, are written by Tutor Nerds. Are you an education professional? If so, email us at pr@tutornerds.com for guest blogging and collaborations. We want to make this the best free education resource in SoCal, so feel free to suggest what you would like to see us post about our Orange County private academic tutors are happy to help.

Irvine Math Tutoring The Unit Circle - TutorNerds

Irvine Math Tutoring The Unit Circle - TutorNerds Irvine Math Tutoring Tips: The Unit Circle â€" Learning and Memorizing Made Easy! Irvine Math Tutoring Tips: The Unit Circle â€" Learning and Memorizing Made Easy! The Unit Circle is a staple of trigonometry and precalculus classes. It is a circle with a radius of one that is centered at the origin of a two-dimensional coordinate system. Essentially the simplest circle that we can put on our grid book your private Irvine math tutor today. Nearly every class will require students to memorize specific angles and they’re coordinates on this circle. For example, the “top” of the circle is at 90 ° (the angle is measured from the right side of the x-axis, or the “East” stem if you think of it as a compass) which is the point (0 , 1) since it is straight up and the unit circle has a radius of one. Similarly, we get (0, -1) at 270 ° at the bottom of the circle. The harder memorization comes in when you look at some of the points that are don’t lie perfectly on our axes. See an image of a typical unit circle below. image taken from Wikipedia, submitted by Jim.belk Here, we see the points we mentioned, but also a lot of pi symbols, radicals, and many fractions. This image can look quite daunting since most teachers expect you to be able to draw it yourself on command. So, let’s dissect how to learn it more easily with much less memorization. First, we need to know how to use radians (a way to measure angles without degrees). We won’t get into why radians are the way they are in this post, but you understand them on the unit circle. You’ll need to know two facts: A circle is 360 ° A circle is 2p radians With these two facts, we can convert between the two with some dimensional analysis. It’s like how knowing that 12 inches is 1 foot allows you to figure out that 4 feet is 48 inches. For some examples, here is how to find 30 ° in radians: Here we set up the fractions since we know that 2p is the same as 360 °. You cross multiply and divide to find x, simplifying the fraction at the end. Here is the same concept except converting from radians to degrees. Let’s say we have p/4 and want to find it in degrees: Here we had some more fractions to work with, but the pis cancel out to give us 45 °. Now back to the unit circle. The unit circle is better memorized as two circles instead of one. On one circle they count by 30 ° increments (which we just learned is equal to p/6 radians) and on the other, we count by 45 ° increments (which we also just learned is equal to p/4 radians). Here is circle number one: Notice the bold terms.   They all have a denominator of 6.   This circle corresponds to the blue lines we see on Wikipedia circle.   But notice how much easier it is to memorize in increments of p/6.   One p/6, Two p/6, Three p/6, Four p/6, etc. up until all the way around the circle is Twelve p/6.   The unit circle is just simplifying the fractions!   12 p/6 is just 2p since 12/6 = 2.   Just count the p/6’s around the circle and simplify the fractions.   Much simpler than memorizing all of those fractions. Now that we know the angles of the unit circle, we have to learn the coordinates at each angle.   The ones on the corners aren’t bad since those are just variations of -1, 0, and 1 and we can tell what the coordinate pair should be.   For the remaining 8 points, here are the only two numbers we need to memorize: Again, we won’t go into why these are the numbers since we’re just focused on memorization. Notice here that they both have a denominator of 2. Then, notice that v3 is larger than 1. Every coordinate point will be a combination of these points, so just look for which side is bigger. If the x side looks bigger (like in p/6), then the x side gets the v3/2 and the y side gets the 1/2. For 10p/6, notice that the longer side is in the y-direction and is going down. This means the y coordinate get the v3/2 and it is negative: (1/2, -v3/2). Notice now that the bold terms are all with a denominator of 4. Here we count by p/4’s instead of p/6’s. This circle corresponds to the red lines on the regular unit circle. Here we count increments of p/4 until we get to 8p/4 which is our full circle of two pi. Memorize that these are the two circles that are put on top of each other for the full unit circle. Both are just counting until you get to 2p. Now we’ll learn the coordinate points for this circle. The “corners are still the same as the blue circle ((1,0), (0,1), (-1,0), and (0,-1)), and we only have one number to memorize for the diagonal angles in between: All of the coordinates for these angles on the unit circle will be v2/2 for both x and y. Just don’t forget to include the negative signs when necessary. So, for example, 3p/4 will be (-v2/2, v2/2) and 5p/4 will be (-v2/2, -v2/2). If you can keep these two circles separate in your head it will significantly help you when drawing your own: and without the brute force memorization of every reduced fraction that many teachers suggest. Notice too that the diagonals of the orange circle fit perfectly between the diagonals of the blue circle since 45 ° is halfway between 30 ° and 60 °. Though memorization is still necessary, hopefully this guide will save you from mindlessly cramming and consequently forgetting your unit circle as you delve deeper into trigonometry. From trigonometry to statistics, our private Irvine math tutors are here to help. Call TutorNerds today to book you Irvine math tutor. Michael C. is currently a private math, science, and standardized test tutor with TutorNerds in Irvine and Anaheim. All blog entries, with the exception of guest bloggers, are written by Tutor Nerds. Are you an education professional? If so, email us at pr@tutornerds.com for guest blogging and collaborations. We want to make this the best free education resource in SoCal, so feel free to suggest what you would like to see us write.