So many trig identities in such a compact form. Wow.
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@apcalcnpsych
So many trig identities in such a compact form. Wow.

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Math Cheat Sheets
here is everything ive found online to help study for the ap psych exam!!! + [whap and studying masterposts] !!!
sparknotes study guide
hella good review sheets
ton of flashcards woah
mind map of social psych
rough outline of the year
psychologists to know
crash course ~ hank green
intro to psych post
free textbook resources
study playlists help u
bunch of review materials
v good cram packet
lots of notes from a post
outline of eriksonâs theory
mind map of disorders
how to stay motivated!!
good luck friends!!!! im srsly hoping for the best here ~ xoxo sareena
I tend to find most of the study tips and advice out there are mostly related to âwrittenâ subjects rather than âcalculation-basedâ subjects, such as maths and as half of my courses are strongly mathematics based I tend to use a different set of study tools to prepare myself for those tests and exams, these are some of my tips for studying maths! (can also go for any calculation-based subjects such as physics):Â
1. pay attention in your lectures/classes and take good notes!Â
generally in maths classes the lecturer will go over example problems very similar to what you will be tested on, make sure you listen and write down each step as they work through the examples. I tend to add on little helpful notes and tips that that the lecturer mentions in a different colour beside the problem example.Â
2. revise your notes to understand the theory
when studying for a maths exam I find what works best is revising the class notes first, understanding the theory (it definitely helps if you understand the application of what you are learning, especially for calc!) and writing down the example problems broken down into each step (if its a long problem). Also learn the formulae you will be given and how to use each one.Â
Next, prioritise your study time by spending more time on the topics you understand the least and less time on the topics you understand the most. Revising your notes and the example problems from class should indicate to you what topics you understand and what ones you are struggling with. Â
3. PRACTICE, PRACTICE, PRACTICE.Â
honestly, the best way to learn maths is to just practice as many example problems as you possibly can before your exam! while understanding the theory is helpful, what youâre going to be tested on is your ability to answer a problem. The best way to learn how to do maths problem is by trying the problems yourself. Most courses give out homework problems and example problems to try before the exam, textbooks are also a great source for finding extra problems to do.Â
what I like to do is try a few problems using my lecture/theory notes to help me, I will then check my answer and go back through my working to highlight any part that I got wrong and before trying a new problem I will make sure I understand why I got it wrong. Once Iâm happy, I then try more problems again using no notes at all! Then I check my answers in the same way.Â
I will keep repeating problems this way until I am personally satisfied I can answer what will be in the exam (because everyone is different)
maths all becomes quite simple if you just sit down, understand the theory, and then practice, practice, practice using logical steps.Â
June 15, 2015

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P R O D U C T I V I T Y
30/30*Â Â -Â personal favorite, I always use this to study and manage time.
i-Say - earn rewards by simply doing quizzes after signing up
Essential productivity apps for any student*
Top 5 productivity apps for iOS (video)*
Top 5 productivity apps for Android (video)*
StayFocusd*- limits the time you can spend on time-wasting websites
Time Warp* - keeps you from procrastinatingÂ
Self Control* - blocks websites
The science of productivity (video)
The science of procrastination and how to manage it (video)
7 brain hacks to improve your productivity (video)
The simple science of getting more done (in less time)
Productivity tips
About power naps
How to pull an all-nighter effectively
O R G A N I Z A T I O NÂ
My Study Life*Â - Itâs a planner to help you remember when your homework is due and stuff like that
Free printable planner
To do list
How to make a study schedule
Class folder organizationÂ
S C H O O L // S T U D Y I N G
Inkflow Visual Notebook*Â -Â I havenât used this one, but itâs for note taking (if youâre a visual learner itâs probably quite useful
Free Flashcards Study Helper*Â - Create flashcards and carry them around to study anywhere
Apps for students*
Tips and trick to help you get good grades
Learning how to study
Cornell note taking method
BBC Bitesize
Studyblue - flashcards, quizzes, review sheets, study guides, etc.
Essay writing
Textbook masterpost (and other stuff too)
Wolfram Alpha for researchÂ
Memorizing dates
Making a good study guide
Note taking like a pro
Online calculator
Finals survival guide
How to survive finals
School survival guide
Free online courses
Scholarpedia
Mathway
Khan academy
Quizlet
Homework help
Exam survival tips
Studying for an important exam
Answering multiple choice questions
Guide on punctuation
Science simplifiedÂ
How to answer exam questions
How to study
Useful websites
CrashCourse
How to write an essay
Duolingo
P R Â O J E C T S
Public speaking
Annoying Power Point presentation mistakes
Power Point presentations
Prezi
Emaze - similar to prezi
Rawshorts - video presentations
If it has * itâs an app
calc ap study guide more like i need a 5 PLEASE
THINGS YOU JUST NEED TO KNOW OR YOU FAIL
the goddamn unit circle
also the trig and inverse trig functions
area & volume formulas for you-know-what
derivative: slope of tangent line
integral: area under a curve
Keep reading
Things Top Students Do
1. They donât always do all of their homework.
In college, homework assignments generally make up 5-20% of your grade, but can be the biggest time-suck for most students. Yes, working problems is one of the best ways to turn new concepts into working knowledge, but a large majority of those problems that take you hours and hours to work through, youâll never see on an exam.
2. They never âread throughâ the textbook.
Per time spent, reading the textbook is one of the least effective methods for learning new material. Top students use the examples and practice problems, but otherwise use Google, lecture notes, and old exams for study materials.
3. They Google EVERYTHING.
Itâs like an automatic reaction. New concept = go to Google for a quick explanation. Donât think just because your professor gives you a textbook and some examples on the blackboard that youâre limited to that information. You have a massive free search engine at your fingertips, so make use of it.
4. They test themselves frequently.
Testing yourself strengthens your brainâs connections to new material, and gives you immediate and clear feedback on whether you know something or not. Bottom line, repeated self-testing significantly improves long-term retention of new material.Â
5. They study in short bursts, not long marathons.
Studying in short bursts tends to help you focus intensely because you know there is at least a short break coming.
This also fits in nicely with our Ultradian Rhythm, the natural activity/rest cycle of our bodies, which makes studying continuously for multiple hours on end counterproductive.
6. They reverse-engineer solved problems.
Itâs one thing to follow and memorize a set of steps to solve a calculus problem. Itâs an entirely different thing to understand what a derivative is, be able to take derivates of complex functions, know when to use the chain rule vs. the product rule, etc. The problem with simply following the steps the professor provided, or the textbook outlines, is that youâre only achieving a surface-level knowledge of the problem. Top students, instead,take solved problems and work backwards, from solution to question, asking âwhy.â
Why did this get this value? Why did they simplify this expression? Why did they use that type of derivative rule?
By following this process, you begin to understand the interconnections of the concept, and how to directly apply that to a problem. This âworking knowledgeâ of a concept is key to performing well on exams, especially on problems that you havenât seen before.
7. They donât own a highlighter.
Highlighting anything = unengaged reading. If you want to note something that stands out, underline and write a corresponding note to go along with it. Or better yet, write yourself a note summarizing the item in your own words.
8. They sleepâa lot.
The daily routines of top performers, in any field, are characterized by periods of intense work (4-6 hours per day) followed by significant quantities of high-quality sleep (9 hours per night). You see this trend in top violin prodigies and chess champions, as well as elite athletes. The idea is to alternate periods of intense work with rest, so that you create tons of new connections in your nervous system, and then allow adequate time to assimilate those gains.
9. They engage themselves by asking questions.
What happens if I tell you, âThomas Jefferson almost single-handedly drafted the Delcaration of Independence in 1776.â?
You might say âHmm.. thatâs interestingâ, try to remember it for later, maybe even write down a note or two.
But what if I ask you, âWho was Thomas Jefferson?â What changes?
You start searching your memory, sifting through images of old guys, founding fathers, thinking about the Declaration of Independence. You come up with your own narrative, and then realize that you have gaps.
When was he around again? And why was he so important?
Youâll probably find yourself going to Google to fill in the gaps. Through that process your learning will be much more deeply seated in your brain than anything your history teacher ever told you about him. Thatâs the power of asking questions.
10. They make the best out of lecture.
Yes, your professor sucks. Yes, lectures are boring. Yes, itâs either too fast so you canât keep up and miss all the important stuff, or itâs way too slow and you start zoning out because you already understand everything.
The best students look at this this way: Iâm going to be there no matter what, so whatâs the best use of my time while Iâm in the classroom? Ask questions, bring the textbook and look stuff up, focus on the important practice problems to copy down in your notes, try to anticipate what the professor is going to say, make note of anything they put emphasis on as a potential exam topic. All of these things make the time you have to spend in lecture more productive and engaging. And thatâs less time you have to spend studying later on.
11. They over-learn.
School is hard enough, with the amount of studying and homework you have to do. And on top of all of that Facebooking you have to get done? It might seem ridiculous to suggest learning more than you have to.
What!? Are you insane!?
But this is precisely what top students do. And paradoxically, they end up spending less time trying to understand how to do homework problems, andless time studying for exams because of it. Because when you âover-learnâ past whatâs presented in class, you build a better framework for the subject.
Think of trying to remember some details about Abraham Lincolnâs life. You try to remember the dates of the Civil War, or what he said in the Emancipation Proclamation. You study the same facts over and over and over again⌠but itâs just boring, and you quickly forget. But what if you knew his whole lifeâs story? About how Lincoln suffered from bouts of depression, and his relationship with his wife suffered? You start to learn that the dude was human, and you start to relate to the things he did and the struggles he went through. Now youâve constructed a story in your head. And studies show that humans learn best through stories. So yes, itâs more information, but your brain knows what to do with it now that all those random facts are linked together. More learning, but less rote memorization and struggling to remember random facts.
12. They immediately study their exam mistakes.
Most students get their exam grade back, flip through to see if the professor made any mistakes they can argue about, and then promptly shove it into their notebook, never to be seen again until the mad scramble at the end of the semester to study for the final.
Instead, top students ignore what they got right, and use their mistakes as an indicator of what to improve on.
13. Theyâre busy with work and side projects.
Yes, to do well in a course, you need to focus and put in the hours. But like many geniuses throughout history have shown, involvement in a diverse set of subjects, activities, and skill sets keeps you active, and provides you with a rich and diverse set of mental models to pull from.
Also, as they say, âIf you need to get something done, give it to the busy person.â If you stay active in multiple areas, you donât have time to procrastinate, and are forced to be efficient with your study time. This generally translates into quicker learning and better performance throughout the semester.
14. They use lecture as a detective mission.
Though completely unaware of this fact, your professor has tells. Yes, like in poker. Tells during lecture will hint at particular types of concepts and problems that will be emphasized on the midterm or final exam. The best students pay attention to topics professors spend a seemingly inordinate amount of time on and make note. Chances are youâll see something related on the final.
15. They donât wait for motivation to strike.
Motivation comes and goes, but studying for a degree requires persistence and consistency. Just like Olympic athletes train even on their worst days, the best students figure out how to get their coursework done when itâs the last thing they want to do.
16. They practice under test conditions. The old adage âpractice makes perfectâ isnât totally true. Deliberate practice under the right conditions, with the correct mindset, is more like it. Instead of reading through all of the lecture notes and redoing old homework problems, top students make themselves practice exams, and rehearse their exam performance, under time pressure and in similar conditions (no notes, uncomfortable chair, quiet room, etc.) to what theyâll see on test day.
17. They use old exams.
Professors arenât the most inventive folk. Along with coming up with lecture material and departmental responsibilities, theyâre also primarily concerned with research. So typically midterms and final exams more or less look alike for similar courses year-to-year and even across universities. Because of this, old exams are a gold mine of opportunity for figuring out what problems you should be able to solve and study from.
18. They make their own study guides.
The best students donât simply use the study guide the teacher provides, they create their own.
Creating the study guide is half the battle, requiring you to go through your notes, consolidate them, and organize them in a way that you understandâall valuable study activities. Youâll also be able to use your equations sheet much more effectively on the exam itself (if allowed) because you know exactly where everything is.
19. They actually write on paper.
Writing out notes on a laptop is efficient. Too efficient. Because itâs so easy to quickly type out exactly what the professor is saying, you donât have to do the work of trying to figure out how to consolidate the information into your own shorthand. Some also believe that the act of writing helps retain more information.
20. They use the 80/20 rule.
Yes, some students who get good grades do every reading assignment, finish every practice problem, and attend every study session they can get their hands on. But these students are missing the point. There will always be an endless amount of information you could learn given the time and effort, but having the ability to discern what is worth learning will truly set you apart.
Top students identify the 20% of concepts they need to learn deeply, in order to determine 80% of their final grade. They focus intently on those few things, and simply ignore the rest. This is a formula for high performance, without hours and hours of busywork. And it translates seamlessly into the real world too.
21. They donât complain.
Complaining simply has no place in the smart studentâs repertoire. If something sucks, change it or ignore it, but donât waste your time, energy, and mental state talking about it. Got a crappy professor? Either switch class sections or focus on teaching yourself. Horrible textbook? Find alternate resources (Google is free in case you hadnât heard).
22. They learn by doing.
Any technical subject can only truly be internalized through use. Just like learning a new language, learning to be fluent in algebra or calculus requires active application of rules and formulas. Top students know there is a big difference between knowledge, and applied knowledge.
23. They take personal responsibility for learning the material.
The best students understand that they, and only they are truly responsible for their own education. So waiting to be spoon-fed by your professor and doing the homework assignments will never be enough. Despite your schoolâs best intentions, theyâll never be as committed to your academic success as you can be.
24. Following what they love
Those students you admire are passionate about what they are learning. They have the drive to develop their learning further based on their love of what they are discovering. This may not always be the case and is often unavoidable but if you follow what interests you and cultivate a curiosity of this area, your motivation to learn will thrive.
Not every student is the same and many top students donât follow the status quo. The best way to create good habits for students is to try a variety of techniques and figure out what works for you.
25. Question your teachers Thinking outside the box is a cliche but certainly a reality for students. Â They question everythingâespecially test questions they get wrong. Â This attitude is important because it shows a general inquisitiveness that is essential in learning. Â As any parent of small children knows, questions are a way to gain knowledge. Â Teachers canât be offended when a student asks a difficult question and parents should encourage this behavior. Â
26. They know the best way to study.
It is important to know the best way to study for yourself. Do you need pictures? Sounds? Study better in quiet or noisy environments? Figure out what works best for you so that you can make the most out of your study time.
27. They play hard.
We all know that a balanced lifestyle is the best way to stay mentally and physically healthy! Top students donât spend all day in the library grafting (contrary to what you might think!) Rather, they take the time to put their studies aside and do something which is fun and exciting!
 Source : 1 2 3 4
Attention Students
If you are a high school student or a transfer student who lives in the United States and is in the process of applying to a college, Iâm sure that youâve realized how expensive the application process is, especially when application fees average between $35.00â$75.00. The National Association for College Admission Counseling (NACAC) provides a form called the âRequest for Application Fee Waiverâ to be completed by students, which allows you to apply to a maximum of four colleges without having to pay the application fee.Â
If you are a transfer/ high school student, you can find more information about the requirements for the form at : nacacnet.org
Note: not all colleges may accept the fee waiver, but there are several out there that do. Either way, you wonât lose anything by trying.
How to Study Like a Harvard Student
Taken from Sophia Chua-Rubenfeld, daughter of the Tiger Mother
Preliminary Steps 1. Choose classes that interest you. That way studying doesnât feel like slave labor. If you donât want to learn, then I canât help you. 2. Make some friends. See steps 12, 13, 23, 24. General Principles 3. Study less, but study better. 4. Avoid Autopilot Brain at all costs. 5. Vague is bad. Vague is a waste of your time. 6. Write it down. 7. Suck it up, buckle down, get it done. Plan of Attack Phase I: Class 8. Show up. Everything will make a lot more sense that way, and you will save yourself a lot of time in the long run. 9. Take notes by hand. I donât know the science behind it, but doing anything by hand is a way of carving it into your memory. Also, if you get bored you will doodle, which is still a thousand times better than ending up on stumbleupon or something. Phase II: Study Time 10. Get out of the library. The sheer fact of being in a library doesnât fill you with knowledge. Eight hours of Facebooking in the library is still eight hours of Facebooking. Also, people who bring food and blankets to the library and just stay there during finals week start to smell weird. Go home and bathe. You can quiz yourself while you wash your hair. 11. Do a little every day, but donât let it be your whole day. âThis afternoon, I will read a chapter of something and do half a problem set. Then, I will watch an episode of South Park and go to the gymâ ALWAYS BEATS âStarting right now, I am going to read as much as I possibly canâŚoh wow, now itâs midnight, Iâm on page five, and my room reeks of ramen and dysfunction.â 12. Give yourself incentive. Thereâs nothing worse than a gaping abyss of study time. If you know youâre going out in six hours, youâre more likely to get something done. 13. Allow friends to confiscate your phone when they catch you playing Angry Birds. Oh and if you think you need a break, you probably donât. Phase III: Assignments 14. Stop highlighting. Underlining is supposed to keep you focused, but itâs actually a one-way ticket to Autopilot Brain. You zone out, look down, and suddenly you have five pages of neon green that you donât remember reading. Write notes in the margins instead. 15. Do all your own work. You get nothing out of copying a problem set. Itâs also shady. 16. Read as much as you can. No way around it. Stop trying to cheat with Sparknotes. 17. Be a smart reader, not a robot (lol). Ask yourself: What is the author trying to prove? What is the logical progression of the argument? You can usually answer these questions by reading the introduction and conclusion of every chapter. Then, pick any two examples/anecdotes and commit them to memory (write them down). They will help you reconstruct the authorâs argument later on. 18. Donât read everything, but understand everything that you read. Better to have a deep understanding of a limited amount of material, than to have a vague understanding of an entire course. Once again: Vague is bad. Vague is a waste of your time. 19. Bullet points. For essays, summarizing, everything. Phase IV: Reading Period (Review Week) 20. Once again: do not move into the library. Eat, sleep, and bathe. 21. If you donât understand it, it will definitely be on the exam. Solution: textbooks; the internet. 22. Do all the practice problems. This one is totally tiger mom. 23. People are often contemptuous of rote learning. Newsflash: even at great intellectual bastions like Harvard, you will be required to memorize formulas, names and dates. To memorize effectively: stop reading your list over and over again. It doesnât work. Say it out loud, write it down. Remember how you made friends? Have them quiz you, then return the favor. 24. Again with the friends: ask them to listen while you explain a difficult concept to them. This forces you to articulate your understanding. Remember, vague is bad. 25. Go for the big picture. Try to figure out where a specific concept fits into the course as a whole. This will help you tap into Big Themes â every class has Big Themes â which will streamline what you need to know. You can learn a million facts, but until you understand how they fit together, youâre missing the point. Phase V: Exam Day 26. Crush exam. Get A.

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ive gotten 3237 asks abt this ⌠so here are some links for learning new things online!!
math!!!!
ck-12 learning
patrickjmt videos
integralcalc videos
profrobbob videos
math studyblrs
trigonometry gif
google does it
sparknotes
khanacademy
science!!!
human anatomy 3d
cardiovascular gif
biology videos
scale of the universe
chem crash course
astro crash course
bio crash course
anatomy crash course
biology guide
multimedia resources
chemistry lectures
comp sci 101
online simulations
english!!!!
lit crash course
how to annotate
color annotations
english lessons
how to read critically
writing checker ye
synonym finder
effective text reading
thou/thee/thy/thine
free download lit
history!!!
ap euro advice
gov crash course
apush links
apush study guides
jewish history
us history crash course
ancient rome blogs
world history masterpost
big history crash course
ancient racism
how to study for it
foreign languages!!
language pod
self studying advice
learn so many
spanish etymology
start asl / bsl
75 web resources
how the world laughs
spanish grammar
many tutorials
spanish youtubers
ton of websites
+ masterposts!!!
succeed @ school
ap world history
ap psychology
stress reliefs
essay writin
printables
sat help
hope some of these links were helpful! xoxo sareena
Whether youâre writing internal assessments for the international baccalaureate or for other lab report requirements for middle/high school programmes, this is for you guys ! The sooner you master the technique of perfecting lab reports, the rest of your science days will be a breeze. Note: These are only recommendations, if your teacher has a report-specific requirements - make sure you follow them to get the best grades !
Aim: State what the lab is about and what scientific concept youâre trying to learn. Provide background information on the subject and mention the scientific objective and purpose behind the investigation.
Research Question: The more focused and detailed this question is, the better. It should involve one or more variables, will the possibility of the question leading to one or more specific, testable hypothesises.
Hypothesis: Should be related to the research question, and it should be a clear statement (not a question). Make sure it is written in future tense and can be tested by one analysis.
Independent Variable: This is the factor you change throughout the experiment. Dependent Variable: This is the factor you measure throughout the experiment. Control Variables: These are the factors you keep constant throughout the experiment. Uncontrolled Variables These are factors you cannot control throughout the experiment, and you only need to acknowledge them and state how they may potentially affect your investigation.
Apparatus : This is the fancy word for the list of equipment youâll be using. Similar to the research question, this needs to be extremely detailed, as if you were to give this list to a lab technician for them to gather the equipment for you.
Diagram : This is not necessary but may be considered extra credit. Itâs used to show the setup of the experiment for personal use or help to give to others.
Method : Similar to the apparatus, this needs to be simple enough to be interpreted by anyone - ask a parent or a friend to identify areas which are unclear. Make sure to include what data processes youâll generate after raw data collection (e.g. types of graphs, which calculations âŚ) and how youâll answer your hypothesis at the end (using an evaluation and conclusion).
Results : This is where youâll display the information generated in raw data tables, graphically or through calculations. Make sure to highlight and summarize the general trends and findings, and title all figures/tables/calculations made. Donât forget to make sure all axisâ on your graphs are titled, all relevant graphs and units are used and number all figures/tables so youâll be able to refer back to them in an appropriate fashion in your evaluation and conclusion.
Evaluation : This is where you comment on the methods used in your investigation and mention the weaknesses/errors and subssequent solutions (5-10) if you were to complete the investigation again. Similarly, propose new questions and investigations similar interests which could be carried out.
Conclusion : This is where you comment and interpret on the results obtained, and whether or not you agree with your hypothesis. If possible, try and compare your results with literal results.
Presentation of your report : Make sure the layout of your report is clear and easy to read, and written in a scientific format. If you have font-specific requirements, make sure you follow them too. Donât forget to process the report to check for grammar and spelling mistakes !
WOHO Studyblrs, where have you been?
If youâre a studyblr, studyspo, smartblr, appblr or just a tutorial one, please reblog this, i want to follow everyone of you cause Iâm new in this and i just discovered this awesome world
I will be starting my blog as soon as I start my summer work. So please follow (:
Steps to get straight-As
Hereâs a few steps to get some perfect straight-As!
Preview your classes: this might sound silly to some of you, but honestly it helps a lot. Try to force yourself to read through your textbook or notes that you know your teacher will be teaching the day before class, so that you can have a slight idea of whatâs going to happen tomorrow. Try highlighting the texts, or, if youâre feeling in the mood, do some outlining! Trust me, you will be so much more confident in class and that will also help you to only jot down things thatâs not in your textbook. Lazy people are in fact the ones who do the prep work because they want to save time in the future!
Take class notes: Having previewed your class, youâll realise class is in fact quite fun (shocker here). When your classmates are trying so hard to copy everything down from the powerpoints, you only have to write down things that arenât included in your notes/textbooks. And, since you should have figured out the things you didnât understand the night before, you can pay more attention on those parts during class, or even ask your teachers about it!
Outline Notes: When youâre home after school (preferably) or during the weekend, try to combine your class notes and textbooks together and make your perfect outline notes. Do your outline notes after every class instead of waiting till your teacher finishes a chapter/section. It will help you to keep track of your classes!
Study guides: After a chapter/section, itâs good to narrow it down to a nice and simple study guide. Try to omit information thatâs already in your brain from your outline notes and reorganize it into a study guide. The whole process will help you to review the knowledge once again and at the same time give yourself some good source for studying for finals.
Index cards: this should be the last step. I usualy prepare index cards when Iâm studying for a test. Before the test, I will use my study guide to study, and write down key information (either some main points or parts that I can hardly remember) onto the index cards. The night before/ the morning before the test, the only thing Iâm holding is my index cards. So while all your pals are holding their large pile of notes and cramming in the hallways, you can confidently walk with only some cards!
In that case, youâve basically gone through the same knowledge five times (wow). Honestly though, it doesnât take much time each and trust me, youâre going to benefit from it SO MUCH MORE! Itâs only a matter of habit! Good luck!