Foundation Of Mathematics And Pre-Calculus 10: Fill & Download for Free

It depends on what you’re prepared and not prepared to do:As I use both Brilliant Premium and Khan Academy, here’s my review of the two websites:Brilliant Premium:Brilliant is a “Freemium” (portmanteau alert) educational website founded in 2012. There are two ways you can use the website (hence the “freemium” portmanteau):Brilliant - the free versionBrilliant Premium - A subscription paid version (in which you are required to pay $24.99 USD a month or $119.88 USD per year.For this review, I will be using Brilliant Premium, . So let’s get right into it:There’s no other word for it, it is absolutely “Brilliant” (pun totally not intended). In all seriousness, Brilliant Premium gives you a wide variety of in-depth courses, each one challenging your brain and making you use problem solving skills and further developing and nurturing your prowess in science, mathematics and computer science.You can still use Brilliant for free, but it doesn’t offer you as many courses as Brilliant Premium does. Brilliant Premium is a fun, productive learning experience which will definitely push you to improve.Here are the courses that Brilliant Premium has to offer:Math - Foundational:Mathematical FundamentalsGeometry FundamentalsLogicAlgebra through puzzlesNumber TheoryMath Competition FundamentalsGraphing and ModellingConics and TrigonometryGames of ChanceOutside the Box GeometryJoy of Problem SolvingProbabilityComplex AlgebraAce the AMCStatistics (Coming soon)Math - Advanced:Calculus Done RightDifferential EquationsLinear AlgebraGroup TheoryMath for Quantitative FinanceMultivariable Calculus (Coming Soon)Science - Foundational:Science EssentialsPhysics of the EverydayAstronomyClassical MechanicsScience - Advanced:Solar EnergyQuantum ObjectsGravitational PhysicsSpecial RelativityComputational BiologyAutomotive EngineeringComputer Science - FoundationalComputer Science FundamentalsComputer Science AlgorithmsArtificial Neural NetworksComputer Science - AdvancedMachine LearningComputer MemoryAdvanced Algorithms (Coming Soon)As you can see, Brilliant Premium has a huge range of detailed courses for each of these three subjects. Now we shall summarise Brilliant with Pros and Cons.Pros:Wide variety of in-depth courses for maths and scienceIt will test your brainGood preparation for mathematics competitions (if you’re in any)Cons:You will have to subscribe to get the full course contentNow, let’s take a look at Khan Academy:Khan Academy:Khan Academy is a free community education website founded by Sal Khan in 2009. Khan Academy offers free and fun and challenging topics which require dedication to fully complete. Because Sal believes in teaching for mastery, if you’ve already mastered a subject (for example “Quadratics in Vertex Form”) if you keep getting questions wrong at a later date, you may loose mastery in that subject.Khan Academy also generates different questions each time you go into a practice session for a subject or a Mastery Challenge (if you’re doing a maths subject).However, features for maths subjects and other subjects (science, computer science, humanities, economics and finance) are different. The maths subjects have practice exercises and mastery challenges, but the content for the other subjects is limited to course-like learning resources (for now).There is an exception though, because “Statistics and Probability”, “AP Calculus AB”, “AP Calculus BC”, “Multivariable Calculus”, “Differential Equations” & “Linear Algebra” are topics in the subject of maths, but are formatted in a course-like way and do not have mastery challenges.Another thing to note is that Khan Academy is built on the foundation that is the videos that Sal Khan and other contributors have made (at a later date), and therefore boasts a wealth of video content that you can watch, from “The Business Cycle” to “Linear Equations Word Problems”. I highly recommend watching Khan Academy videos if you haven’t already.Here are the available subjects that you can study on Khan Academy:Mathematics (By subject):Early MathArithemeticPre-algebraAlgebra 1GeometryAlgebra 2TrigonometryPre-calculusStatistics and ProbabilityAP Calculus ABAP Calculus BCMultivariable CalculusDifferential EquationsLinear AlgebraScience And Engineering:PhysicsAP Physics 1AP Physics 2Cosmology and AstronomyChemistryAP ChemistryOrganic ChemistryBiologyHigh School BiologyAP BiologyHealth & MedicineElectrical EngineeringComputing:Computer programmingComputer scienceHour of CodeComputer AnimationArts and Humanities:World HistoryUS HistoryAP US HistoryArt HistoryGrammarEconomics and Finance:MicroeconomicsMacroeconomicsFinance and Capital MarketsSo evidently, Khan Academy has more subject options than Brilliant. And now let’s get into the Pros and Cons of Khan Academy:Pros:Wide range of subjects to learnMastery Challenge and ever-changing questions for mathsVery good video contentCons:Time consumingThe courses aren’t too in-depthA comparison of the two:In terms of courses, Khan Academy has a wider range of topic courses, but Brilliant provides more in depth-courses to mathematics and the sciences. Khan Academy has good videos to compensate for that however.It honestly depends on what you want to focus on, if you prefer the sciences to the arts, then use Brilliant Premium. If you’re not prepared for the subscription however, just stick to the free Brilliant and Khan Academy and use some other resources from the internet.My opinion:I think, personally, Brilliant Premium is better for me because it focuses in more on maths and science, and will help me further progress. I still use Khan Academy though, and strongly recommend you to use both Brilliant Premium and Khan Academy (if you can).I hope this helps!

In the United States, the usual mathematics sequence in secondary school ispre-algebra: grade 7 or 8algebra 1: grade 8 or 9algebra 2: grade 9 or 10geometry: grade 10 or 11pre-calculus: grade 11 or 12calculus: grade 12 or college or neverSo the obvious answer is pre-calculus. However, the notion of pre-calculus is actually an American construct. In most other countries, calculus is taken immediately after the equivalents of algebra and geometry. In those countries, a full treatment of trigonometry (and sometimes limits) is included within the algebra and/or geometry courses, and so students can proceed to calculus immediately afterward.What about the US?To put it tactfully, teachers in the US have historically found that their students are not prepared for calculus after just taking algebra and geometry, even if those courses cover trigonometry and other topics usually seen as prerequisites for calculus. As a result, American schools usually offer a course called pre-calculus, which serves to reinforce the concepts learned in algebra and delve a bit deeper into them, so that students are ready for calculus thereafter.To put it truthfully, Americans are too slow and/or stupid to learn mathematics at the same pace as the rest of the world. Pre-calculus is essentially algebra 2, again. What usually happens is that algebra 2 teachers are unable to complete the full algebra 2 curriculum (especially trigonometry), because their students are not strong enough, and so pre-calculus is a remedial/buffer/filler course which covers the same material again.Although Wikipedia errs on the side of tact, the message is clear:"For mathematics education, the course precalculus is the same as advanced college algebra. ... often involves covering algebraic topics that might not have been given attention in earlier algebra courses."Moral of the story: if, after taking algebra and geometry, you feel you have a solid foundation in ALL of it, then you are ready to take calculus, and pre-calculus is not at all necessary.(I took pre-calculus. It was one of the stupidest decisions I ever made.)

I happen to have some interest in this, since my daughter will be going into Math 10 next year.BC has just revised the Grade 10, 11, 12 math streams. There is one stream called "Workplace Math", a second one called "Essentials of Math" that is designed for university entrance where calculus is not required; and the toughest one is called "Foundations of Math and Pre-calculus" for math, science and engineering university entrance.Here is the detailed (old) Pre-calculus curriculm for Pre-Calculus 11 & 12, for example. This work will still be covered in the new curriculum.http://www.bced.gov.bc.ca/irp/pdfs/mathematics/WNCPmath1012/2008math_precalc11.pdfhttp://www.bced.gov.bc.ca/irp/pdfs/mathematics/WNCPmath1012/2008math_precalc12.pdfHere is the link to all the (old) high school math curriculums, but for some reason it is not updated to show the new realigned courses.http://www.bced.gov.bc.ca/irp/course.php?lang=en&subject=Mathematics&course=Mathematics_10_to_12&year=2008This course work will get you in to any University in Canada, so all the provinces are covering basically the same stuff.