The Best IB Math Study Guide and Notes for SL

The Best IB Math Study Guide and Notes for SL/HL SAT / ACT Prep Online Guides and Tips IB Math SL and IB Math HL are two of the toughest classes in the IB curriculum. It’s no surprise if you need a little extra help in either class. I’ve compiled this article of the best free online materials for IB Math SL/HL so you can get all the IB Math notes you need in one place. For convenience, I ordered the resources following the IB Math SL/HL syllabus. How To Use This IB Math Guide If you’re in search of information on one topic, use the Command + F function on your computer to search this guide for that specific topic. For instance, if you want to read about Algebraic Sequences, use Command + F to bring up the search function. Type â€Å"Algebraic Sequences,† and you’re computer will show you all of the study materials for Algebraic Sequences. I split the material into three categories: Broad Notes: Longer (generally 3-10 pages) that provide an overview of most or all of the subjects covered in a topic. Specific Subject: Shorter summaries of specific subjects within a topic. Video: demonstration videos of how to solve past paper problems related to the subject. Common Study Errors IB Math SL/HL Students Make IB Math SL/HL cover a lot of material. With so much material, you can’t afford to fall behind because you won’t be able to catch back up. You need to master the subjects during the school year in order to excel on the IB Math SL/HL papers. Common errors are: Ignoring the material you don’t understand. If you didn’t understand it from your teacher, you need to look for outside help, possibly in this IB Math study guide or for even more help consider tutoring. Only studying right before the IB Math SL/HL papers. As I said before, there are too many topics for both courses to master in only a couple weeks (that’s why these courses are spread over a couple years). Master the subjects when you’re learning them in class. Use this study guide or hire a tutor if you need extra help: Want to get better grades and test scores? We can help. PrepScholar Tutors is the world's best tutoring service. We combine world-class expert tutors with our proprietary teaching techniques. Our students have gotten A's on thousands of classes, perfect 5's on AP tests, and ludicrously high SAT Subject Test scores. Whether you need help with science, math, English, social science, or more, we've got you covered. Get better grades today with PrepScholar Tutors. Core Topics- 140 Hours for SL and 182 Hours for HL For IB Math SL and HL, all students study the topics listed below. Here are a complete set of IB Math notes. Complete IB Math Overview: Standard Level This 167-page set of notes includes every topic covered in IB Math SL. It's definitely not something you want to read in one night, but it's great to reference as you review different IB Math topics. It's highly organized, so you can search the table of contents to find the exact topic you want to study. Topic 1: Algebra Broad Notes: Topic 1: Algebra Specific Subject: Arithmetic and geometric series Arithmetic and geometric sequences Binomial theorem Completing the square Number sets, approximation, and scientific notation Videos: Arithmetic Sequences and Series Geometric Sequences and Series Sigma Notation Exponents (Laws and Solving) Logarithms (Laws and Solving) Binomial Theorem Topic 2: Functions and Equations Broad Notes: Topic 2: Functions and Equations Specific Subject: Composite function Concept and notation Exponentials and logarithms Exponential functions Factor theorem Inverse function Quadratic functions Quadratic forms Quadratic functions Transformations Functions Videos Functions (Domain and Range, Composite, Inverse) Functions (Transformations) Factorising Quadrants Completing the Square (Quadratics) Discriminant Test Rational Functions (Asymptotes and Sketching) Exponential and Logarithmic Functions Sketching Functions With a Calculator Topic 3: Circular Functions and Trigonometry Broad Notes: Topic 3: Circular Functions and Trigonometry Specific Subject: Equations of lines Trig ratios Sine and cosine rules Trigonometry Videos Radians, Length of Arc, Area of Sector Unit Circle and Trig Ratios Trig Identities Trig Graphs (Circular Functions) Solving Trig Functions Sine and Cosine Rules, Area of a Triangle Degrees vs Radians Topic 4: Vectors Broad Notes: Topic 4: Vectors Specific Subject: 2D and 3D lines Basic vector arithmetic Intro to vectors More on lines Scalar product Videos Vectors: Basics Scalar Product and Angle Between Two Vectors Vector Equation of a Line Intersection of Two Vector Lines Topic 5: Statistics and Probability Broad Notes: Topic 5: Statistics and Probability Specific Subject: Binomial distribution Probability rules Probability Set theory Logic review Representations of probability Continuous variables Discrete variables Standard deviation Statistics representations Stats vocabulary Using normal distributions Normal distribution Two variable statistics Videos Mean, Standard Deviation, and Variance Bivariate Statistics Venn Diagrams and Probability Conditional Probability Probability Distribution Binomial Distribution Normal Distribution Topic 6: Calculus Broad Notes: Topic 6: Calculus Calculus I Calculus II Specific Subject: Derivatives by first principle Intro to derivatives Derivatives of more complex functions Derivatives part 1 Derivatives part 2 Intro to integration Indefinite integrals Kinematics Limits Local max and min Optimization Tangent and normals Volumes of revolution Videos Differentiation Rules Equation of a Tangent Optimisation and Calculus Curves Integration Rules Integration by Substitution Volume of Revolution Kinematics Options- 48 Hours for HL Only IB Math HL students study one of the following four options listed below. There are fewer written notes for these topics, but you still have many videos and practice questions to use for your review. Topic 7: Statistics and Probability Videos Practice questions: Discrete random variables Practice questions: Probability density functions and cumulative distribution functions Practice questions: Correlation Practice questions: Regression Topic 8: Sets, Relations, and Groups Videos Practice questions: domain and range Practice questions: inverse functions Topic 9: Calculus Videos Practice questions: Maclaurin's series Practice questions: Taylor's series Practice questions: Exact equations (integrating factors) Substitution types Topic 10: Discrete Mathematics Videos Summary: The Best IB Math Study Materials IB Math has six Core Topics that both SL and HL students study, as well as one of four Options that HL students will also study. There are many free IB Math notes and study resources available online, especially when compared to other IB classes, which often have few high-quality online resources. This makes it easier to keep up with what you're learning in IB Math and be prepared for all the exams for the class. There are multiple types of IB Math study resources, including general study guides, in-depth notes, and videos you can watch. Try out each of them to see which ones work best with your study style. Remember, you want to study early and consistently in order to be well prepared throughout the school year. What’s Next? Learn more about IB Math: Every IB Math Past Paper Available: Free and Official Looking for more resources for IB Math review? Check out our articles on trig identities, completing the square, finding the mean of a set of numbers, and calculating statistical significance. Learn more about other IB classes: IB Biology Past Paper Available: Free and Official Every IB Business and Management Past Paper Available: Free and Official Where to Find IB Chemistry Past Papers - Free and Official Every IB Geography Past Paper Available: Free and Official Every IB History Past Paper Available: Free and Official Every IB Economics Past Paper Available: Free and Official Every IB English Past Paper Available: Free and Official The Complete IB Extended Essay Guide: Examples, Topics, and Ideas Where to Find IB Physics Past Papers - Free and Official Want to improve your SAT score by 160 points or your ACT score by 4 points? We've written a guide for each test about the top 5 strategies you must be using to have a shot at improving your score. Download it for free now:

Professional Ethics Essay Example | Topics and Well Written Essays - 1250 words

Professional Ethics - Essay Example This blackmailing continued for months till a young girl in Canada reported the matter to the police. This report resulted in his arrest and subsequent sentencing. Internet has become an important part of our daily lives. Adolescents are increasingly depending on computers for various tasks including games, chatting and school assignments. This increased use of the Internet puts them at greater risk of befriending pedophiles and hackers. Any contact with such a person can cause emotional trauma and girls may even encounter serious physical danger since many pedophiles pose as younger people looking for friends. With increased use of computers, Internet has become a haven of online pedophiles: "the very same offenders that once combed the playgrounds seeking victims now lurk into cyberspace" [Kopelev, 1999]. These pedophiles are causing serious injuries to others especially younger people since they are more vulnerable. It is important ethical use of Internet is promoted and increased use is regulated. With more people gaining access to cyberspace, it is important that online activities are carefully monitored and regulated with the help of strict anti-hacking laws and computer misuse laws. Governments must understand that these laws should be regularly updated and improved because older or dated laws may not cover advanced misuse such as DoS attacks and illegitimate access. Exploitation of adolescents is easier since they have their own set of problems and families may not always be available to hear them out. In such cases, they resort to their friends online and since pedophiles have ample time, they "are often willing to devote considerable amounts of time, money and energy in this process. They listen to and empathize with the problems of children. They will be aware of the latest music, hobbies, and interests of children" [FBI]. Thus adolescents and children become an easier target for pedophiles who can then misuse the information gathered and can cause serious emotional and even physical danger to their hapless victims. Ethical Discussion: The major ethical issue in this case is unethical access to computers with the aim of blackmailing young girls into submission. We understand that illegitimate access to any computer is simply unethical and unlawful. If a person uses a tool to gain access, the person is committing a serious offence, which is covered by the modified Computer Misuse Act of Britain. The law clearly states that a person would be found guilty of a serious offence "if he supplies or offers to supply any article believing that it is likely to be used to commit, or to assist in the commission of, [a hacking offence]". Here the word article refers to "any program or data held in electronic form". [Outlaw.com] When a person gains access to a computer and then uses it for illicit purposes, it only adds to the gravity of the offence. The Computer Misuse Act of 1990 makes it clear that a person would be charged with a criminal offence if he gains unauthorized access to data knowing that such access is unlawful. The law is current being reviewed to extend its scope. However it is commonly believed that CMA is effective enough to secure an arrest and prison term for someone like Ringland. Apart from legal issues involved,

Facilitating the growth of artictic intelligence Essay

Facilitating the growth of artictic intelligence - Essay Example Here, an attempt is made to show how pre-adolescents can become confident of using innate ability and acquired skills gained through art, especially, to enhance cognitive, moral, social and other characteristics they need to develop for use in work and life. Artistic expression is used throughout a child’s school experience. From kindergarten level, drawing teaches skills such as correct pencil grip, visual calculation of distances, hand-eye coordination and the ability to compare colors and shapes and to understand symbols and ideas (McDonald & Fisher 4). As they progress into middle school, these basic building blocks can be used as a foundation for â€Å"understanding the visual arts in relation to history and cultures; reflecting upon and assessing the work of others; and making connections between the visual arts and other disciplines (MENC, 1994)† (McDonald & Fisher 5). Teachers can use the visual arts, which are enjoyable and feel less like rigorous learning, especially to reluctant students, to promote readiness to learn subjects across the curriculum. Ideas for projects that include hands-on artistic tasks can be successfully incorporated in math, languages, social studies and science - all subjects that â€Å"require higher-order thinking skills† (Prince 2002, 49). Nurturing artistic skills - even very rudimentary ones - can be beneficial in middle school, as students embark on some very serious learning. They can be promoted and improved, since they embrace aesthetic and perceptual abilities which are comparatively easy to acquire. Used by the teacher to instill confidence that flows from the ability to make pictures or three-dimensional pieces, this can-do feeling will be available to be applied to various learning areas. In languages, cartoons and graphic narratives can promote confidence in expressing ideas fluently by using creativity and imagination (McDonald & Fisher 51). In social studies, maps and 3-D globes or panoramas can

The Federal Government and Laissez-Faire Essay Example for Free

The Federal Government and Laissez-Faire Essay The period of American history from 1865 to 1900 consisted of much controversy concerning economic control. Individual enterprises fought diligently to dominate economic affairs but the government was obligated to intervene when unjust activity was apparent. It was unanimously believed, among businessmen, that the government should have very little say in economic issues, the basis for Laissez-Faire. This policy invited the rights of the public consumer to be violated. As a result of the unjust treatment by the enterprises, it was necessary for the government to step in. The Interstate Commerce Act was enacted to limit the freedom and wrongful capital gain of railways to benefit the people. The Senate passed the Sherman Antitrust Act, heavily influenced by the monopolies, to prevent trade restrictions. Freedom and independence are extremely valuable aspects in any setting but can only remain if utilized responsibly. The successful individual enterprises were determined to maintain the Laissez-Faire policy. In Document A, Amasa Walker is quoted saying, Economically, it will ever remain true, that the government is best which governs least. When the government is too involved in the economy, a great many regulations are set and the corporations become less prosperous because their effective methods are limited. A New York City merchant, Daniel Knowlton, (Document B) has a supporting opinion pertaining to the proper functions of the government. He believes the government is in place to maintain domestic tranquility, defend the people from invasion, and protect them when traveling. Every merchant and big business owner alike new theyd benefit under the Laissez-Faire policy. The Interstate Commerce Act was a major intervening action taken by the Federal government in 1887. The act prevented discrimination and promoted reasonable and just fees. The success of the railroad has been attained at the most unwarranted discriminations and its effect has been to build up the strong at the expense of the weak. as stated in Document J. This method of success had come to cease because the rich were becoming richer and the poor, poorer. Document L depicts the beneficial aspects of the Interstate Commerce Act, The act to regulate commerce was not passed to injure any interests, but to conserve and protect bringing about great and salutary  measures of improvement. The act has operated directly to increase railway earnings despite initial appearance. The Sherman Antitrust Act was the proceeding measure taken by the Feds. The Senate, being dominated by monopolists as shown in Document M, was forced to pass the act. Actions in Senate were taken in the interest of monopolies instead of the people. This is a Senate of the monopolists by the monopolists, for the monopolists. The act declared all contracts restricting trade to be illegal. This was of importance to the monopolies because trade restrictions would harm them greatly. Contemporary corporations were required to be versatile in the expanding American economy. Individual enterprises fought diligently to dominate economic affairs but the government was obligated to intervene when unjust activity was apparent. The Laissez-Faire attitude was quite popular during this time. However, problems arose when it was in affect. The government instituted the Interstate Commerce Act and the Sherman Antitrust Act to maintain a more balanced economy and make life easier for the poor. The Federal government only intervened in the economy when it was necessary to do so.

The Dark Side of Nathaniel Hawthorne in The House of Seven Gables Essay

The Dark Side of Nathaniel Hawthorne in The House of Seven Gables In The House of the Seven Gables, Nathaniel Hawthorne exhibits the fate of a family due to a curse by analyzing the most â€Å"disagreeable† secrets of a man’s soul (Great Lives 1077). Hawthorne shows the decay of an aristocratic family due to the sins of the past. He uses allegory within his character’s personalities and emotions to expose â€Å"the truth of the human heart† (biography). Hawthorne’s chosen location for this novel reflects greatly on his life and specifically his childhood. Salem is the home of The House of the Seven Gables. Ironically this is the same town in which he was born in and lived in through adulthood. He was raised in this town, therefore he was very aware of the dark side of its past. He was a part of this past through his ancestors. One of which was a judge in the infamous Salem witch trials. At this trial Hawthorne’s uncle is cursed by a so-called witch with the words, â€Å"God will give you blood to drink† (Magill 2736). This curse is much similar to Matthew Maule’s curse on the Pyncheon family (Magill 2734). The solitude of his characters reflects his childhood as well. Growing up, his 2 mother kept herself away from people which led him to become a very solitary man for much of his life. As a young child Hawthorne was lamed. During these years he became well learned with the writings of Edmund Spenser, John Bunyan, and William Shakespear(CSLF 1570). From these men he has gained technique and style. Having lived in Salem most of his life, Hawthorne is extremely influenced by Puritanism. His writings greatly reflect this. Hawthorne deals much with the sins of a man being pasted down for generations. This is very much a Puritan belief. Puritans are a very superstitious type of person. Thus, this explains Hawthorne’s belief that a curse, such as Maule’s curse, can destroy a well-to-do family (Walker 1577). Hawthorne’s characters dealt with guilt forced on by their ancestor, much of which goes back as far as the Puritans. He commonly plays guilt against innocence within one character, Hepzibah Pyncheon. She feels strongly that she must maintain the lifestyle and tradition of her ancestor Colonel Pyncheon. He shows her many personalitie... .... â€Å"Nathaniel Hawthorne.† Encarta Encyclopedia. (1997) â€Å"Nathaniel Hawthorne.† The Critical Temper. Ed. Martin Tucker. Vol. 4. A Library of Literary Criticism. Frederick Ungar Publishing, 1979, 509-514. â€Å"Nathaniel Hawthorne.† World Literature Criticism.† Ed. James P. Draper. Vol. 3. Detroit: Gale Research Inc., 1992, 1592-1605. â€Å"Nathaniel Hawthorne.† Novels and Novelists : A Guide to the World of Fiction. Ed. Martin Seymour-Smith. London : Shuckburgh Reynolds Ltd., 1980, 154-155. Wagenknecht, Edward. â€Å"Nathaniel Hawthorne.† Cavalcade of the American Novel. New York : Henry Holt and Company, 1952, 90, 9, 20, 25, 38-57. Walker, Ronald G. â€Å"Nathaniel Hawthorne.† Critical Survey of Long Fiction. Vol. 4. Englewood Cliffs : Salem Press, 1983, 1314-1328. Van Doren, Carl. â€Å"Nathaniel Hawthorne.† The American Novel. Ed. Revised. Vol. 1789-1939. New York : The MacmillianCompany, 1966, 58-83 135-137, 210, 213, 215. â€Å"American Transcendentalism.† â€Å"PAL : Nathaniel Hawthorne.†

A conflict situation

A conflict situation I had been in was with one of my closet co worker or at least I thought we were close. My co worker and I was always talking behind the store manger back when he wasn’t looking, but then a new assistant manager position came up and my store manger was looking at me to possibly fill the position. My co worker really didn’t like the fact that my store manger was looking at me so my co worker told my manger that I was making fun of him for a long time and he even that cameras to prove it. My manger didn’t give me the position he gave it to my co worker, we didn’t talk to each or not even look at each other for months. That’s what causes a convert conflict. With him and me not talking it made him realize that he was wrong about what he has done about the situation. A few months goes bye and finally my co worker said he was sorry about what he done and the only reason why he did it was because he was about to became a dad with twins babies and he needed the money bad. So at the end I forgive him and I told him that he should have just told me and we would have never gone this long without talking to one another. With the conflict that I had with my co worker I wish I use the five problem-solving stages of conflict resolution, because if I did I really believe my co worker and I would have never gone so long with speaking to one another. I would recommend everyone to use these steps to solve any conflict you might have with another person because you might not get another chance to make things right again. I really think when a person is using use the five problem-solving stages of conflict resolution, there should be nothing but a positive outcome in any situation. I also believe that if it doesn’t want out that you probably really didn’t want to give another chance to solve the conflict. The five problem-solving stages of conflict resolution gives you every chance to make up with that other person even with the last step is to learn and accept the fact that it might not work or you can just start the steps over .

Psychological Report Sample

The psychology is undoubtedly a significantly crucial fields of the science and medicine. Thus, the workers and the students of this sphere have to perform their tasks with the great responsibility. Writing the psychological reports is a typical part of such occupation, yet it can be challenging as it includes a considerable number of substantial details that have to be kept in mind. The psychological report sample points out them for one to understand the most significant elements of such type of work. In addition, the psychological report sample provides an example of the structure, style, and a clear outline of the psychological report.   Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚   1.Identifying Information Name: James Blake Age: 11 years 5 months Date of birth: 11.08.05 Sex: Male Educational level: Fifth grade (complete) Source of referral: Ms. Adriana Blake, the mother Examiner: Judy Hallway, school psychologist Reason for referral/referral question: James’ mother is concerned about James’ problem behavior at home and at school as reported to her by his teachers. As Ms. Adriana states, such situation appeared for the first time as James used to be an obedient and diligent child, active and successful at study and communication with classmates. Two months ago, in October, James started behaving in a completely different way; he became much less concentrated and concerned about the study, his relationship with the mother became tense and less trusting, considerable problems in the communication with his peers appeared. Ms. Adriana made efforts to clarify the situation and solve the problem by herself but James refused to answer her questions, thus, she applied to the school psychologist for help. 2.Tests Administered: Draw-A-Person Test   (date of conducting 15.12.16) Vineland Social Maturity Scale (date of conducting 28.12.16) Vineland Adaptive Behavior Scale (date of conducting 05.01.17) 3.Physical and Behavioral Observation The interviews were conducted twice a week since the 12 of December until the 10th of January; there was one personal meeting with the patient and one with his mother being present weekly. James behaved acceptably, he was never late to the interview, even to those that he attended just by himself. Still, he was unwilling to talk openly, especially at the beginning of the work; he was more likely to speak at the personal interviews than at ones with his mother attending. There were not revealed any displays of the aggression or antisocial behavior. All results of the conducted tests did not differ from the normal indicators. 4.Family Background James’ parents are divorced for four years; they stay in a friendly relationship. The boy lives with his mother but has weekly meetings with the father, he spends at least one week of the summer vacations with him.   Mr. Robert Blake, James’ father, is going to get married for the second time; his fiancà ©e, Ms. Mary Brown, is fourth months pregnant. 5.Summary James is most likely to be concerned about his relationship with the father after his new marriage, especially considering the fact that Mr. Robert is going to have a second child. The boy is afraid of being unwanted in the new family and ‘replaced’ by the newborn baby. 6.Diagnostic Impression: depression and anxiety. 7.Recommendations: The parents of the boy have to explain the situation and the future development of it to James, he needs to be ensured of being needed and loved by his father in order to feel safe and to overcome the diagnosed issues. In addition, it would be helpful for the boy to spend some time, a week or two, with Mr. Robert and his fiancà ©e as this will demonstrate him that he is a part of his father’s new family.