Pre-Calculus Honors
by Florida Association of School Administrators
This course material is only available in the iTunes U app on iPhone or iPad.
Course Description
This mathematics course provides resources to help teachers teach and students understand essential concepts and competencies. Teachers have the freedom to build curriculum and contextualize content resources to meet classroom needs.
| Name | Description | Time | Price | ||
|---|---|---|---|---|---|
| 1 | 6.4 Fundamental Theorem of Calculus-- an introduction | 6.4 Fundamental Theorem of Calculus-- an introduction | 44:24 | Free | View in iTunes |
| 2 | FX Math Solver | Will guide you how to solve your math homework and textbook problems, anytime, anywhere. FX Math Solver is a comprehensive math software, based on an automatic mathematical problem solving engine, and ideal for students preparing term math exams, ACT, SAT, and GRE: - Over 1,500 sample math problems and fully animated solution steps - Scientific calculator supported - Graphing calculator supported - Automatic problem solving and generation of fully animated step-by-step procedures for problems typed in by users - User friendly math problem expression editor (WYSIWYG mode) Math Solver covers problems at the level of Pre-Algebra, Algebra1, Algebra2, and Calculus courses: - Number operations: add, subtract, multiply, divide - Prime factorization - Mixed number - Complex number - Basic expression simplification: - polynomial - factorization, long-division - rational - radical - exponential and log/ln - sin, cos, tan, .. - Matrix - Equations, system of equations - Inequalities - Function - Graphing - Limit - Differentiation - Integral | -- | Free | View in iTunes |
| 3 | What is a function? - Week 1 - Lecture 1 | -- | 11:19 | Free | View in iTunes |
| 4 | Pythagorean Triples | -- | 3:25 | Free | View in iTunes |
| 5 | Binomial Theorem (part 1) | -- | 12:37 | Free | View in iTunes |
| 6 | Binomial Theorem | Using the Binomial Theorem to expand binomials, Pascal's Rule, and an inductive proof of the Binomial Theorem. Video | -- | Free | View in iTunes |
| 7 | Wolfram Calculus Course Assistant | Taking calculus? Then you need the Wolfram Calculus Course Assistant. This definitive app for calculus—from the world leader in math software—will help you work through your homework problems, ace your tests, and learn calculus concepts. Forget canned examples! The Wolfram Calculus Course Assistant solves your specific Calculus problems on the fly including step-by-step guidance for derivatives, integrals, and much more. This app covers the following topics applicable to Calculus, AP Calculus AB, AP Calculus BC, Calculus I, and Calculus II: - Evaluate any numeric expression or substitute a value for a variable. - Plot basic, parametric, or polar plots of the function(s) of your choice. - Determine the limit of a function as it approaches a specific value. - Differentiate any function or implicit function. - Find the critical points and inflection points of a function. - Identify the local and absolute extrema of a function. - Integrate a function, with or without limits. - Sum a function given a lower and upper bound. - Find the closed form of a sequence or generate terms for a specific sequence. The Wolfram Calculus Course Assistant is powered by the Wolfram|Alpha computational knowledge engine and is created by Wolfram Research, makers of Mathematica—the world's leading software system for mathematical research and education. The Wolfram Calculus Course Assistant draws on the computational power of Wolfram|Alpha's supercomputers over a 3G, 4G, or Wi-Fi connection. | -- | $3.99 | View in iTunes |
| 8 | CK-12 Calculus, Volume 2 | CK-12 Foundation’s Calculus, Volume 2 FlexBook covers the following four chapters: Applications of Integration – This chapter includes applications of the definite integral, such as calculating areas between two curves, volumes, length of curves, and other real-world applications in physics and statistics. Transcendental Functions – This chapter includes differentiation and integration of logarithmic and exponential functions, exponential growth and decay, derivatives and integrals involving inverse trigonometric functions, and L’Hospital’s Rule. Integration Techniques – Students explore integration by substitution, integration by parts, integration by partial fractions, trigonometric integrals, trigonometric substitutions, and improper integrals. Infinite Series – This chapter introduces the study of sequences and infinite series. The properties presented describe the behavior of a sequence or series, including whether a sequence approaches a number or an infinite series adds to a number. | -- | Free | View in iTunes |
| 9 | CK-12 Calculus, Volume 1 | CK-12 Foundation’s Calculus, Volume 1 FlexBook covers the following four chapters:  Functions, Limits, and Continuity – A review of the basics of functions is given. Students use linear approximations to study the limit process, before a more formal treatment of limits is given. Differentiation – Students explore instantaneous rate of change, and the relationship between continuity and differentiability. The Chain Rule and implicit differentiation are reviewed. Applications of Derivatives – Students gain practice with using the derivatives in related rates problems. Additional topics include The First Derivative Test, The Second Derivative Test, limits at infinity, optimization, and approximation errors. Integration – This chapter includes indefinite integrals calculus, initial value problems, definite integrals, the Fundamental Theorem of Calculus, integration by substitution, and numerical integration. | -- | Free | View in iTunes |
| 10 | Limits | Math From Scratch Lesson 31: Limits | -- | Free | View in iTunes |
| 11 | Lessons on Khan Academy | -- | -- | Free | View in iTunes |
| 12 | Algebra2 - Polynomial and Rational Functions | -- | -- | Free | View in iTunes |
| 13 | Modeling Periodic Trig Functions | -- | -- | Free | View in iTunes |
| 14 | Inverse Trig Functions | -- | -- | Free | View in iTunes |
| 15 | Ezy Trigonometry | Ezy Trigonometry is a friendly tool designed to help students understand trigonometry. FEATURES + Interactive unit circle. Allows exploring relations between angles and trigonometric ratios. + Bundled with an exact trigonometric ratios table + Bundled with a hand book of trigonometric formulas + Flexible settings: radians / degrees, related angles, angle snapping + Full support for iPhone / iPad and retina display NOTE * Tap & Hold to switch unit circle mode | -- | Free | View in iTunes |
| 16 | ShowMe Interactive Whiteboard | Turn your iPad into your personal interactive whiteboard! ShowMe allows you to record voice-over whiteboard tutorials and share them online. It’s an amazingly simple app that anyone can use, no matter how young or old! INTUITIVE AND POWERFUL - Record your ShowMe tutorial right away — no manuals or complicated menus needed - Drop in images onto the whiteboard - Easily switch between drawing and erasing (as well as pausing and playing) to make your ShowMe flow from concept to concept - You can make your ShowMe as long or as short as it needs to be, and record as many ShowMe’s as you want. Go nuts! - Once you’re finished recording, upload your ShowMe to share with the community (or keep it private if you prefer) - Discover awesome tutorials created by other members of the ShowMe community A VARIETY OF USES - Easily explain a range of topics from math to chemistry to music theory to basket weaving. - Add ShowMe’s to your Do-It-Yourself blog - Attach a personal message to any travel photos you want to share - Diagram offensive and defensive strategies for sports - Grade student work with commentary explaining the reasoning behind their performance - Use ShowMe as an interactive whiteboard substitute Implement a “flipped classroom” - Showcase your ShowMes online and share your knowledge with your students, friends, family, or the world! FEATURES - Voice-record - Multiple brush colors - Enter text - Pause and erase - Import pictures from your photo library, built-in camera, or web image search - Import documents as pictures from Dropbox, or Google drive - Create video from any document - Unlimited lesson length - Free to upload and share your recordings with friends - Easy embedding for sharing anywhere - Manage students with Groups USING GROUPS "Groups" allows teachers to share their ShowMes and interact with students privately. A teacher with ShowMe Premium subscription can create an unlimited amount of groups and invite their students. Students can join groups for free! SHOWME PREMIUM ShowMe Premium is an auto-renewing monthly or yearly subscription which unlocks all ShowMe features. For just $9.99 a month or $89.99 a year: - Upload up to 300 hours of ShowMes - Post privately - Create study groups - Markup and share any documents in groups - Import documents into ShowMe - Search and import images from the web - Download your video files - Create student accounts - Create courses COURSES With "Courses" ShowMe creators can organize multiple ShowMe lessons and tutorials into one comprehensive lesson plan. PAID COURSES The ShowMe Marketplace allows premium users to earn extra income by posting paid premium courses for other educators or students within the ShowMe community. AS SEEN ON - TechCrunch - Business Insider - Numerous teacher blogs and educational blogs WE’RE HERE FOR YOU The ShowMe team is small, nimble, and quick to respond to suggestions/requests. Follow us on twitter at @showmeapp. Or feel free to drop us a line at support@showme.com with any questions, concerns, or stories about how you’re using ShowMe. LEGAL Privacy Policy: http://www.showme.com/privacy Terms & Conditions: http://www.showme.com/termsofuse - Payment will be charged to iTunes Account at confirmation of purchase - Subscription automatically renews unless auto-renew is turned off at least 24-hours before the end of the current period - Account will be charged for renewal within 24-hours prior to the end of the current period, and identify the cost of the renewal - Subscriptions may be managed by the user and auto-renewal may be turned off by going to the user's Account Settings after purchase - No cancellation of the current subscription is allowed during active subscription period | -- | Free | View in iTunes |
| 17 | Angles and Radians | Find out how to convert fractions of a degree with Degrees, minutes and seconds, and enter the wonderful world of the radian. I have a some examples of how to convert from degrees to radians and back again, as well as angular and linear speed using rad | -- | Free | View in iTunes |
| 18 | Hands-On Precalculus | Learn precalculus the fun way, with 60 dynamic video lessons and 30 hands-on interactives that let you explore the subject. In Hands-On Precalculus, you'll never go more than a minute without interacting with our Virtual Tutor. We don't do the proofs in this book, you do! So get ready to get schooled! This book covers: - different types of functions (including linear, quadratic, polynomial, trigonometric, exponential, logarithmic, conic, polar, parametric, and inverse) - limits (including finite, infinite, left, and right limits) - sequences and series (including arithmetic series, geometric series, convergence, divergence, convergence tests, partial sums, and sequential differences) If you have any questions or comments, let us know at info@schoolyourself.org or visit www.schoolyourself.org. | -- | Free | View in iTunes |
| 19 | Introduction to Cosine Law - 11:38 | -- | -- | Free | View in iTunes |
| 20 | Introduction to Sine Law - 9:39 | -- | -- | Free | View in iTunes |
| 21 | Concepts of Pre-Calculus | This iBook contains concepts taught in pre-calculus with easier explanations, pictures, videos, and interactivity. Unlike the boring and dull hardcover textbooks, this ebook has an aesthetically pleasing look and is easier to understand. Each chapter is unique; some have example problems while others may have video tutorials. Concepts that are taught in this iBook include: Unit Circle, Basic Trigonometric Functions, Graphs, Pythagorean Identities, Sum/Difference Double Angle Identities, and Law of Sines. | -- | Free | View in iTunes |
| 22 | Desmos Graphing Calculator | Explore math with Desmos! Plot functions, create tables, add sliders, animate your graphs, and more -- all for free. At Desmos, we imagine a world of universal math literacy and envision a world where math is accessible and enjoyable for all students. We believe the key is learning by doing. To achieve this vision, we’ve started by building the next generation of the graphing calculator. Using our powerful and blazingly-fast math engine, the calculator can instantly plot any equation, from lines and parabolas up through derivatives and Fourier series. Sliders make it a breeze to demonstrate function transformations. It's intuitive, beautiful math. And best of all: it's completely free. Features: Graphing: Plot polar, cartesian, or parametric graphs. There’s no limit to how many expressions you can graph at one time - and you don’t even need to enter expressions in y= form! Sliders: Adjust values interactively to build intuition, or animate any parameter to visualize its effect on the graph. Try typing y=mx+b and adding sliders to get started. Tables: Input and plot data, or create an input-output table for any function. Statistics: Find best-fit lines, parabolas, and more. Calculus: Graph derivatives (d/dx) and explore key concepts by building secant and tangent line sliders. Graph Maclaurin Series (okay, all kinds of Taylor Series, but that guy gets no love...) Evaluate a definite integral (int) in an instant, or plot an integral with varying bounds. Zooming: Scale the axes independently or at the same time with the pinch of two fingers, or edit the window size manually to get the perfect window. Points of Interest: Touch a curve to show maximums, minimums, and points of intersection. Tap the gray points of interest to see their coordinates. Hold and drag along a curve to see the coordinates change under your finger. Scientific Calculator: Just type in any equation you want to solve and Desmos will show you the answer. It can handle square roots, logs, absolute value, and more. Inequalities: Plot cartesian and polar inequalities. Offline: No internet access required. Visit www.desmos.com to learn more and to see the free online version of our calculator. | -- | Free | View in iTunes |
| 23 | Conic Section - Circles | -- | -- | Free | View in iTunes |
| 24 | IXL | Master skills on the go with IXL! Discover a world of learning with interactive questions in over 5,700 skills for math and English language arts. Take on exciting new challenges, explore personalized recommendations, and earn virtual awards. And, feel good about your screen time as you keep skills sharp anytime, anywhere, on the SIIA CODiE award-winning Best PK-12 Educational App for a Mobile Device (2017 and 2018). Now available on both iPhone and iPad! Math From skip-counting with pictures to graphing quadratic functions, IXL's interactive math questions put the joy of learning at students’ fingertips. Explore more than 3,800 skills that provide comprehensive coverage of pre-K through 12th grade math. Unlimited questions allow students to review and practice as much as they need to master each skill. And with a variety of fun question types, colorful graphics, and a handwriting recognition feature, IXL makes math learning an immersive experience. English Language Arts Build strong readers and writers with IXL’s English language arts program for pre-K through twelfth grade. We bring the fundamentals of writing to life through fun and witty questions that challenge students to learn new vocabulary, correct grammatical mistakes, read and analyze text, develop writing skills, and more. Over 1,900 skills prepare kids to become confident communicators in school and beyond. Highlights of IXL - Comprehensive standards-aligned curriculum - Wide variety of question types to engage students - Unlimited access to all grade levels - Insightful reports and weekly updates on your student’s progress - Over 45 billion questions answered by students worldwide See why people love IXL “Thanks to IXL, our students' performance has increased dramatically. Because they practice the skills daily, and because the site provides feedback, students are able to correct their mistakes and master the concepts easily.” - Waleska Batista, teacher, Cherry Hill, New Jersey, U.S.A. “My favourite feature of IXL is that if you get a question wrong IXL will tell you how to solve it and what you did wrong. Another thing I really enjoy is that IXL provides awards and progress reports showing how you do over time. I think these two things are very effective because they make the student feel like they are actually studying and not wasting time.” - Student, Calgary, Alberta, Canada “This program takes the frustration out of math because it allows the student to practice at his/her own pace and stay focused. It's okay if you mark one wrong because another one will be waiting. This is a great tool to have.” - Parent of a 4th grader, California, U.S.A. “We like the rewards and certificates; our children work very hard to receive these! The reports are also brilliant in keeping us informed of the levels our children have reached and where they need extra help.” - Parent, Coolah, NSW, Australia “My students are improving by the day, and some even stay in for recess to work on IXL!” - Helm Jackson, 5th grade teacher, Redmond, Washington, U.S.A. IXL Membership Become an IXL member for $19.99 per month and you’ll get access to a fully personalized learning experience - complete with comprehensive curriculum and guidance, meaningful analytics, and fun awards and milestones! Pricing may vary by country. Your subscription will be charged through your iTunes account at confirmation of purchase and will automatically renew within 24 hours prior to the end of the current subscription period, unless auto-renewal is turned off beforehand. You may manage your subscription and turn off auto-renewal at any time from your iTunes account settings after purchase, but no refunds will be provided for the unused portion of the period. Terms of Service: https://www.ixl.com/termsofservice Privacy Policy: https://www.ixl.com/privacypolicy | -- | Free | View in iTunes |
| 25 | Khan Academy | You can learn anything. For free. Spend an afternoon brushing up on statistics. Discover how the Krebs cycle works. Learn about the fundamentals of music notation. Get a head start on next semester's geometry fundamentals. Prepare for the SAT, GMAT, LSAT, MCAT, NCLEX-RN, and AP exams. Or, if you're feeling particularly adventurous, learn how fire-stick farming changes the landscape of Australia. Whether you're a student, teacher, homeschooler, principal, adult returning to the classroom after 20 years, or a friendly alien trying to get a leg up in earthly biology — Khan Academy's learning library is available to you, for free. - Learn anything, for free: Thousands of interactive exercises, videos, and articles at your fingertips. Study math, science, economics, finance, grammar, history, government, politics, and much, much more. - Sharpen your skills: Practice exercises, quizzes, and tests with instant feedback and step-by-step hints. Follow along with what you're learning in school, or practice at your own pace. - Keep learning when you're offline: Bookmark and download your favorite content to watch videos without an internet connection. - Pick up where you left off: Your learning syncs with khanacademy.org, so your progress is always up-to-date. Learn using videos, interactive exercises, and in-depth articles in math (arithmetic, pre-algebra, algebra, geometry, trigonometry, statistics, calculus, linear algebra), science (biology, chemistry, physics), economics (microeconomics, macroeconomics), humanities (art history, civics, finance, US history, US government and politics, world history), and more (including computer science principles)! Khan Academy is a 501(c)(3) nonprofit organization, with the mission of providing a free, world-class education for anyone, anywhere. | -- | Free | View in iTunes |
| 26 | YouTube: Watch, Listen, Stream | Make watching your favorite videos easier with the YouTube app. Explore brand new content, music, news and more with the official YouTube app for iPhone and iPad. Discover even more with the official YouTube app. Subscribe to channels with your favorite content, share them with friends or upload your very own videos for everyone to see. Get more out of your video streaming app and discover even more with YouTube. YOUTUBE FEATURES: DISCOVER BRAND NEW CONTENT - Browse YouTube’s personal recommendations on the home tab - Watch the hottest videos, from music to viral sensations on the trending tab - Like something? Tap like to save to your personal list or share with your friends! STREAM MUSIC - Find the videos of the latest hits! - Watch fresh releases from popular and trending artists LIVE STREAMS & MORE - Get the latest news or watch your favorite popular live streams right on your device! LEARN FROM THE BEST - Practice and learn alongside the best online - Watch videos and learn any skill you need - Explore thousands of videos for makeup, DIY, tips and more! CONNECT AND SHARE - Let people know how you feel with likes, comments, or shares - Directly share your friends favorite videos with your friends - Make a playlist that saves your favorite videos - See the latest from the creators you follow on the subscriptions tab Download the official YouTube app and start watching your favorite videos today! SUPPORT YOUR FAVORITE CREATORS WITH CHANNEL MEMBERSHIPS - Support the channel you love with monthly recurring payments - Stand out in comments and live chat with a loyalty badge next to your username - Get access to exclusive perks from the channel WITH YOUTUBE PREMIUM, GET YOUTUBE AD-FREE, OFFLINE, AND IN THE BACKGROUND. PLUS, ACCESS TO ALL YOUTUBE ORIGINALS. - Watch the videos you love without ads! - Play videos in the background, even when you open another app - Download videos for when you're low on data or can't get online - Discover original series and movies from today's hottest talent If you subscribe via iTunes: Payment will be charged to iTunes Account at confirmation of purchase. Subscription automatically renews unless auto-renew is turned off at least 24 hours before the end of the current period. Account will be charged for renewal within 24 hours prior to the end of the current period at the rate of the selected plan. Subscriptions and auto-renewal may be managed by going to Account Settings after purchase Any unused portion of a free trial period will be forfeited when purchasing a subscription. Monthly price: $15.99 YouTube paid service terms: https://www.youtube.com/t/terms_paidservice Privacy policy: https://www.google.com/policies/privacy | -- | Free | View in iTunes |
| 27 | Notability | Welcome to Notability: powerful, yet wonderfully simple note-taking and PDF annotation. Apple Editors' Choice on iPad, iPhone, and Mac! Top selling paid app on iPad App Store, regularly ranked #1. Students, teachers, and business professionals use Notability daily to enrich their lives. It is uniquely designed for each device to provide the best note-taking experience at school, home, and work. STREAMLINE YOUR WORKFLOW • Become fully paper-free, in the classroom, office, and at home. • Complete, sign, and share documents in Notability. • Drag and Drop to move files, text, photos, GIFs, web pages, and more from other apps into Notability with Multitasking. • Secure and lock your notes using Face ID and Touch ID. HANDWRITE AND SKETCH WITH BEAUTIFUL INK • Fully express your artistic side with custom colors and match any color with the color dropper. • Easily create perfect shapes. • Precisely erase freehand ink or shapes with varied brush sizes. • Ink is fine-tuned for 1st and 2nd generation Apple Pencil for the most responsive, precise writing experience yet, including double-tap gesture for switching tools, erasing, and more. SEARCH AND CONVERT HANDWRITTEN NOTES • Search for handwritten words from the Library and in the note view in any of our 15 supported languages. • Convert handwriting to text. • It all happens on your device, so your information stays private. SAVE TIME WITH MULTI-NOTE • Multi-Note lets you work with two notes side-by-side. • Quickly switch between notes with the Note Switcher. • Drag & Drop handwriting, typed text, images, and more between notes. TYPE ANYWHERE • Notability includes full-featured, left-aligned typing with word count and a wide range of fonts, sizes, and colors. • Create outlines, interactive checklists, and text boxes. • Save time with keyboard shortcuts. IMPORT AND SHARE • Import PDFs, DOCs, PPTs, images, GIFs, and more - conversion to PDF happens on your device, so your information stays private. • Annotate imported pictures, lecture slides, and meeting agendas, or complete class assignments. • Share notes via email, AirDrop, Dropbox, Google Drive, Box, OneDrive, and more, or share note content to other apps with Drag and Drop. RECORD AND PLAYBACK AUDIO • Get more out of your lectures and meetings when you record them. • Notes are automatically synced with audio recordings so during playback you can listen to what was happening as you wrote. AUTO-BACKUP AND ICLOUD SYNC • Use iCloud to automatically sync your notes to Notability on iPad, iPhone, and Mac, or to retrieve previous versions of your notes. • Use Auto-backup to send your notes to a cloud service for archiving or recovery. Dropbox, Google Drive, Box, WebDAV, and OneDrive are all supported! Mac app sold separately. Notability is a registered trademark of Ginger Labs, Inc. | -- | $11.99 | View in iTunes |
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