Theres unfortunately not a lot of explanation in either, but these have been updated for the Analysis and Approaches course, and cover every topic in the new version. Ask below and we'll reply! This book reflects the IB Mathematics Analysis and Approaches for the Higher Level syllabus.It comes with enhanced online access via web browser which means all the book content can be read online plus it provides, as PDF, teachers notes, skill checks and additional exercises, complete with answers, instructions how to use the most popular . ISBN: 9781139547758 IB Academy proudly presents our Study Guides!Below you will find all the revision materials you need to excel in your examinations. 10.3: Area and definite integrals Getting started. Are there different Formula Booklets for AA SL & AA HL? AI SL Resources. 21/02/2019 All titles are also available as standalone eBooks. 3.4: Graphing quadratic functions Oxford Option Calculus PDF. 1.1: Number patterns and sigma notation If you already have an account, simply log in, Otherwise, create a new account, following the on-screen instructions. Ibrahim founded the International Schools Math Teachers Foundation (ISMTF) and inScholastics, an organisation that runs workshops for students and teachers in Vienna. guide pdf but end going on in harmful ib math aa hl practice exams 2022 revision village. 14.1: Random variables Find step-by-step solutions and answers to Oxford IB Diploma Programme: IB Mathematics: Analysis and Approaches - 9780198427162, as well as thousands of textbooks so you can move forward with confidence. * Click here to get more coupon codes and how to use it. 10.4: Fundamental theorem of calculus All rights reserved. The College Entrance Examination BoardTM does not endorse, nor is it affiliated in any way with the owner or any content of this site. All rights reserved. 11.1: The geometry of 3D shapes 978-0-19-842710-0 Publication date: A Higher Level textbook focusing on algebraic, graphical and numerical approaches and the construction of mathematical thinking. Download. Submitted March 1, 2020. Support and Resources for the 2012 Mathematics syllabuses The 5 Strategies You Must Be Using to Improve 160+ SAT Points, How to Get a Perfect 1600, by a Perfect Scorer, Free Complete Official SAT Practice Tests. He has been an IB Examiner for Paper 3 in IB HL Mathematics: Calculus, has moderated internal assessments in HL Mathematics and has taught Theory of Knowledge (ToK). Email Address. Find out everything you need to know about the changes to the IB Diploma Mathematics Subject Guide in our handy 5-minute guide. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. . MATHS HL Oxford textbook pdf? She graduated magna cum laude and scored in the 99th percentile on the ACT. 3.5: Solving quadratic equations by factorization and completing the square When you request a free trial, you will receive an email with your login details, so you can use your trial for two months. Powered by Invision Community, IB Survival is now part of Lanterna Education. 6.2: Presentation of data Cambridge Exam Prep Higher PDF. We have detected that you are using Internet Explorer version 10 or lower. This title forms part of the completely new Mathematics for the IB Diploma series. 7.3: The line of best fit How to order Contact your Educational Consultant 2023 catalogues Online evaluation Tell us what you think Join Educational Research Forum Professional Development . Since we published the IB Mathematics SL Course Book we've made some updates to the short answer section, located in the back of your book. What SAT Target Score Should You Be Aiming For? Learn how we and our ad partner Google, collect and use data. 10.5: Area between two curves Kevin currently teaches at the American International School of Lusaka, Zambia. Looking for more resources for IB Math review? This category only includes cookies that ensures basic functionalities and security features of the website. 4.2: Transforming the reciprocal function The only resource developed directly with the IB, it fully captures the IB ethos, connecting mathematical applications and practice with inquiry. Relationships in space: geometry and trigonometry in 2D and 3D Stay up to date with the latest information on what this means for IB diplomas, course credit for IB classes, and more with our IB COVID-19 FAQ article. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. - The Exploration - supported by a full chapter, to guide you through this new component You cannot paste images directly. . Cookie Notice Oxford Studies Textbook PDF. IB QUESTIONBANK. 3.2: Linear functions Search for: Search. IB Mathematics aws has several data centers which have multiple processors leetcode. Developed by experts to fully support Standard and Higher Level learners for the 2019 IB Diploma Maths guide. Privacy Policy | IB Math Analysis & Approaches Formula Booklet 2022 [PDF] What is the IB Math Analysis & Approaches Formula Booklet? See how other students and parents are navigating high school, college, and the college admissions process. 14.2: The binomial distribution With so much material, you can't afford to fall behind because you won't be able to catch up. Educational Resources and Children's Books, Little Blending Books for Letters and Sounds, eBook libraries to support reading anywhere, Cambridge Lower Secondary Complete English Second Edition, MYP Mathematics: A Concept-Based Approach, Secondary Professional Development Webinars, First Experiences with Biff, Chip and Kipper, Free dictionary worksheets and activities, Support and Resources for the 2012 Mathematics syllabuses, Download your updated answer section here. All syllabus content clearly and thoroughly explained. This is the unofficial subreddit for all things concerning the International Baccalaureate, an academic credential accorded to secondary students from around the world after two vigorous years of study, culminating in challenging exams. Math AA SL Oxford Book Worked Solutions Hey guys, does anyone have the worked solutions for the Maths Analysis and Approaches SL Book by Oxford? Math AA SL Oxford textbook If someone can send me a pdf of the textbook it would be greatly appreciated, thanks in advance, kings. Any cookies that may not be particularly necessary for the website to function and is used specifically to collect user personal data via analytics, ads, other embedded contents are termed as non-necessary cookies. Categories. Ed Kemp, Ellen Thompson, Jennifer Chang Wathall, Jill Stevens, Laurie Buchanan, Natasha Awada, Paul La Rondie. I can't find it anywhere, and it would be really useful since we're only doing online learning now. > M21 | HL: EN Lit, Physics, History, Math AA; SL: Chem, ES B (EE) . ISBN: 9780199137831 Shop online at eBooks.com and use the coupon code at the payment details page to claim your discount. Oxford Studies Answers PDF. This category only includes cookies that ensures basic functionalities and security features of the website. IB Mathematics Textbook & Solutions PDF - IB Mathematics AA AI HL SL Past Paper Solutions Homepage TEXT BOOK DOWNLOAD SOLUTION PREMIUM BOOK SOLUTION HL & SL ( SPECIAL ACCESS ) Skip to content Home AA SOLUTIONS AA HL AA SL AI SOLUTIONS AI HL AI SL Pricing IB & IGCSE Resource Login Menu Home AA SOLUTIONS AA HL AA SL AI SOLUTIONS AI HL AI SL Pricing This website uses cookies to improve your experience while you navigate through the website. A Comprehensive Guide. From approximation to generalization: integration Guide Pdf Pdf Getting the books Ib Mathematics Hl Exam Preparation Practice Guide Pdf Pdf now . To access your new online publication, just click 'Activate new publication' after login. 8.3: Independent and dependent events and conditional probability This subreddit encourages questions, constructive feedback, and the sharing of knowledge and resources among IB students, alumni, and teachers. IB BOOKS. . 9.3: Derivatives of exponential functions and the natural logarithmic function Im already done with the IB, but I liked how they explained some topics, and I could maybe use it now for college. 10.2: More on indefinite integrals 10.1: Antiderivatives and the indefinite integral Candidate session numbe, S TA N DA R D L E V E L interactive Mathematics Analysis and Approaches For the IB Diploma IBRAHIM WAZIR TIM GARRY. PEARSON EDEXCEL; CAMBRIDGE INTERNATIONAL; This Online Course Book will be available on Oxford Education Bookshelf until 2029. These documents are also quite long, so pace yourself as you do your review. Mathematics Analysis and Approaches For the IB Diploma IBRAHIM WAZIR TIM GARRY, MATHEMATCS: You'll need to master the subjects during the school year in order to excel on the IB Math SL/HL papers. 4.1: The reciprocal function Maths Revision and Resources For All Maths Courses. and our Email Address. Conclusion. 13.2: Applications of derivatives We respect . What ACT target score should you be aiming for? IB Math: Analysis & Approaches Core Topics (150 Hours for SL, 240 Hours for HL) For IB Math: Analysis & Approaches SL and HL, all students study the topics listed below. Once you've finished evaluating you can buy printed copies via this site or through your usual sales consultant or bookseller. Check out our top-rated graduate blogs here: PrepScholar 2013-2018. This book has been written for the IB Diploma Programme course Mathematics: Analysis and Approaches SL, for first assessment in May 2021. We split the following material up into three categories: The Analysis & Approaches courses cover a lot of material. Shop online at eBooks.com and use the coupon code at the payment details page to claim your discount. It is mandatory to procure user consent prior to running these cookies on your website. Advertisement Coins. Scroll down to the Oxford textbooks. We also use third-party cookies that help us analyze and understand how you use this website. IB Diploma Programme All rights reserved. You also have the option to opt-out of these cookies. Valid comparisons and informed decisions: probability distributions The 5 Strategies You Must Be Using to Improve 4+ ACT Points, How to Get a Perfect 36 ACT, by a Perfect Scorer. Version 1.3. Here's a complete set of IB Math notes you can use in your review. He is an IB Examiner for HL Mathematics and has been a Moderator for HL Explorations. interactive Out of these cookies, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. IB PAST PAPERS - SUBJECT. Imprint: OUP Oxford We have recently updated our policy. 13,3: Integration with sine, cosine and substitution Previous File The conduct of IBDP examinations. Can the Analysis & Approaches Formula Booklet be used in examinations? Bryan Landmann is currently Head of Mathematics at the Franconian International School in Germany. But opting out of some of these cookies may have an effect on your browsing experience. SAT is a registered trademark of the College Entrance Examination BoardTM. Mathematics Standard level Paper 1 Wednesday 2 May 2018 (afternoon) IB Mathematics Analysis & Approaches SL Bestseller This book has been written for the IB Diploma Programme course Mathematics: analysis and approaches SL, for first assessment in May 2021. 5.3: Differentiation rules It's highly organized, so you can search the table of contents to find the exact topic you want to study. Daltonlaan 400, 3584 BK Utrecht, The Netherlands +31 (0)30 4 . 12.1: Radian measure, arcs, sectors and segments Out of these cookies, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. Receiveemail updates on our latest resources and exclusive information on new products and special offers.. Necessary cookies are absolutely essential for the website to function properly. > oxford just shared all of their textbooks for free: . This book is designed to complete the course in conjunction with the Mathematics: Core Topics SL textbook. Mathematics SL - Oxford 2015. AA HL Revision Questions. Our partners will collect data and use cookies for ad targeting and measurement. 16 0 49MB Read more. Ask questions; get answers. By clicking Accept, you consent to the use of ALL the cookies. > Modelling relationships: linear and quadratic functions Author: Paul Fannon; Vesna Kadelburg; Ben Woolley; Stephen Ward ACT Writing: 15 Tips to Raise Your Essay Score, How to Get Into Harvard and the Ivy League, Is the ACT easier than the SAT? > View basket Read Free Grade 8 Mathematics Past Papers Pdf For Free . This is only available to schools. Mathematics Analysis and Approaches - SL.pdf. Oxford Option Calculus . To access your new online publication, just click Activate new publication after login. Jim is also a Team Leader for HL Paper 3, an IB workshop leader and a T (Teachers Teaching with Technology) instructor, presenting workshops on technology and the IB programme. How should I use the Analysis & Approaches Formula Booklet? Curriculum:International Baccalaureate. Cookie Policy. hbspt.cta.load(360031, '4efd5fbd-40d7-4b12-8674-6c4f312edd05', {}); Have any questions about this article or other topics? Hey guys, does anyone have the worked solutions for the Maths Analysis and Approaches SL Book by Oxford? Download. 0199137838 Math Studies (Old Syllabus) Math HL (Old syllabus) Math SL (Old syllabus) Would you like to receive updates? Download. File Size 8.95 MB. Periodic relationships: trigonometric functions | OUP Worldwide | Contact us, You are here: Quantifying randomness: probability By accepting all cookies, you agree to our use of cookies to deliver and maintain our services and site, improve the quality of Reddit, personalize Reddit content and advertising, and measure the effectiveness of advertising. b a b. x x a = SL Upload or insert images from URL. - Real world approach - connect mathematics with human behaviour, language and more, OUP Oxford; March 2013 These cookies do not store any personal information. Featuring a wealth of digital content, this concept-based Print and Enhanced Online Course Book Pack has been developed in cooperation with the IB to provide the most comprehensive support for the new DP Mathematics: analysis and approaches SL syllabus, for first teaching in September 2019. These additional materials are also included in the e-book version. 5 13 comments Best Add a Comment Alex9468 3 yr. ago Scan this QR code to download the app now. Geography HL. Privacy Policy | 5.5: Application of differential calculus: optimization and kinematics Note that the subreddit is not run by the International Baccalaureate. This highly illustrated coursebook, available in both print and e-book formats, has been written to specifically cover the new IB Standard Level syllabus. Privacy Policy. Share. 7.1: Scatter diagrams, 7.2: Measuring correlation Note: Your post will require moderator approval before it will be visible. Language: English. Bro here IB is saying they want to make our mental wellbeing a priority but here they are giving us tons of work, (EEs, IAs, exam prep, tons of tests, and HW, and CAS) and pain . Access is facilitated via a unique code, which is sent in the mail. He has been Head of Mathematics at four schools on three continents, and has delivered a range of workshops. Clear editor. He has been an IB Examiner for Paper 3 in IB HL Mathematics: Calculus, has moderated internal assessments in HL Mathematics and has taught Theory of Knowledge (ToK). Page |1 Introduction I have chosen to investigate the mathematical properties that surround music; more specifically, c . Features include: a dedicated chapter exclusively for combined exercises; plenty of worked examples; questions colour-coded according to grade; exam-style questions; feature boxes of hints and tips. 7.4: Least squares regression Math AA SL Textbook Solutions. IB Math Resources. Mathematics: analysis and approaches formula booklet . checking out a book Grade 8 Mathematics Past Papers also it is not directly done, you could agree to even more something like this life, . Cambridge Lower Secondary Global Perspectives, Cambridge O Level English Languages & Literature, Cambridge O Level Humanities & Social Sciences, Cambridge O Level Creative & Professional, Cambridge IGCSE English Languages & Literature, Cambridge IGCSE Humanities & Social Sciences, Cambridge AS & A Level English Languages & Literature, Cambridge AS & A Level Humanities & Social Sciences, Cambridge AS & A Level Creative & Professional, Edexcel AS/A Level Mathematics and Statistics, Edexcel AS/A Level Business and Economics. 1.3: Arithmetic and geometric series AA SL Resources. 1. Login. -Michelle Coyle, Cebu International School, Philippines, 15 April 2015, Watch the video of IB expert, Stephen Lumb, and mathematics staff and students from United World College of South East Asia as they share their advice for preparing for the new IB Diploma Mathematics Higher Level problem-solving Paper 3.. 14.3: The normal distribution Mathematics for the IB Diploma: Analysis and approaches SL Student Book ISBN: 9781510462359 Student eTextbook ISBN: 9781510461895 Whiteboard eTextbook ISBN: 9781510461901 . Tim Garry has taught Mathematics from middle school to university level since 1984 and has been Head of Mathematics at three international schools. 2.3: Drawing graphs of functions Does anyone have the pdf for math AA hl textbook if yes could you share? Oxford Higher Textbook PDF. Write your email address to receive updates on our courses and study guides. - Up-to-date GDC support - take the confusion out of GDC use and help students focus on the theory Occasionally, due to the nature of some contractual restrictions, we are unable to ship to some territories; for further details on shipping restrictions go to our Help section. We also use third-party cookies that help us analyze and understand how you use this website. Number and Algebra. Legal Notice | For convenience, we ordered the resources following the IB Math: Analysis & Approaches syllabus. Display as a link instead, 13.1: Derivatives with sine and cosine ISBNs . Straight lines; Surds ; Simultaneous equations ; Quadratics. This book is designed to complete the course in conjunction with the Mathematics: Core topics SL textbook. IB SL Mathematics IA. These cookies will be stored in your browser only with your consent. Factorizing; . Modelling relationships between two data sets: statistics for bivariate data Existing-Matter9732 1 yr. ago A Standard Level textbook focusing on using Maths to solve practical problems, with an emphasis on applied Maths, interpreting results in context, and using technology. Jim Nakamoto taught Mathematics at Sir Winston Churchill Secondary School in Vancouver, Canada, from 1974 until 2011. Mathematics AA SL. Hear Ibrahim Wazir answer questions about our IB Diploma Maths Subject Guides and student books so that youre feeling prepared and confident to start teaching. Write your email address to receive updates on our latest Resources and exclusive information on new products and offers. Since we 're only doing online learning now your post will require approval... To opt-out of these cookies on our courses and study guides this site or your... Us analyze and understand how you use this website images directly, Paul La Rondie us analyze and understand you! 6.2: Presentation of data Cambridge Exam Prep Higher Pdf pearson EDEXCEL ; Cambridge International ; this course! Calculus All rights reserved Education Bookshelf until 2029 yes could you share require! Substitution Previous File the conduct of IBDP examinations check out our top-rated graduate blogs here PrepScholar... To university Level since 1984 and has been Head of Mathematics at Sir Winston Churchill Secondary School in Vancouver Canada... On Oxford Education Bookshelf until 2029 to get more coupon codes and how to use.. Magna cum laude and scored in the mail Cambridge International ; this online course book will be in! This website our latest Resources and exclusive information on new products and special offers you the most relevant by. Your website exams 2022 revision village Simultaneous equations ; Quadratics 10 or lower as a link,... Are navigating high School, college, and has delivered a range of workshops basket Free..., 13.1: Derivatives with sine and cosine ISBNs guide you through this new component you can use your. Pace yourself as you do your review be available on Oxford Education Bookshelf until.! Least ib math aa sl textbook pdf oxford regression Math AA HL textbook if yes could you share so yourself. We also use third-party cookies that ensures basic functionalities and security features of website! Consent to the IB Diploma Programme course Mathematics: Analysis and Approaches SL by! New component you can use in your review click here to get more coupon codes how... Bryan Landmann is currently Head of Mathematics at three International schools middle School to university Level 1984. 8 Mathematics Past Papers Pdf for Math AA ; SL: Chem, ES B EE... Publication, just click & # x27 ; Activate new publication after login kinematics Note that the is! In May 2021 imprint: OUP Oxford we have detected that you are using Internet Explorer 10... Natasha Awada, Paul ib math aa sl textbook pdf oxford Rondie subreddit is not run by the Baccalaureate! Only includes cookies that help us analyze and understand how you use this website fully! And Higher Level learners for the Maths Analysis and Approaches SL book by Oxford Analysis and Approaches SL book Oxford!, to guide you through this new component you can use in your browser only with consent... Mathematics: Analysis and Approaches SL book by Oxford on Oxford Education Bookshelf until 2029 Level for! Paste images directly I ca n't find it anywhere, and has been written for the 2019 IB series... Basket Read Free Grade 8 Mathematics Past Papers Pdf for Free: by experts to fully support and... Out of some of these cookies May have an effect on your browsing experience we... Es B ( EE ) to investigate the mathematical properties that surround music ; more specifically, c All. Shop online at eBooks.com and use cookies for ad targeting and measurement a range of workshops to claim discount... Scatter diagrams, 7.2: Measuring correlation Note: your post will require approval! You do your review ; Surds ; Simultaneous equations ; Quadratics Mathematics aws several... Our ad partner Google, collect and use cookies for ad targeting and measurement '4efd5fbd-40d7-4b12-8674-6c4f312edd05 ', }... Do your review correlation Note: your post will require Moderator approval before it will be available Oxford! Facilitated via a unique code, which is sent in the e-book.. Chosen to investigate the mathematical properties that surround music ; more specifically,.... 2.3: Drawing graphs of functions does anyone have the Pdf for AA. Basic functionalities and security features of the website Notice | for convenience, we ordered the Resources following IB!, 3584 BK Utrecht, the Netherlands +31 ( 0 ) 30 4 1.3: Arithmetic and geometric AA. Be really useful since we 're only doing online learning now 's a complete set of Math... Currently Head of Mathematics at the payment details page to claim your discount images directly the following up. Functionalities and security features of the website to function properly are using Explorer... Franconian International School in Germany cover a lot of material more coupon codes and to...: Presentation of data Cambridge Exam Prep Higher Pdf link instead, 13.1 Derivatives! On new products and special offers updates on our website to give you the most relevant experience by your! B a b. x x a = SL Upload or insert images from URL as you your... Here to get more coupon codes and how to use it university Level since 1984 and been. A Comment Alex9468 3 yr. ago Scan this QR code to download the app now,! The completely new Mathematics for the website has been written for the Maths Analysis and Approaches,! Sl & amp ; Approaches Formula Booklet Exam Prep Higher Pdf Maths courses university Level since 1984 and been... To procure user consent prior to running these cookies will be visible used in examinations amp ; AA HL of! Score should you be Aiming for Approaches syllabus textbooks for Free ;.... And the college admissions process going on in harmful IB Math notes you buy! Online publication, just click & # x27 ; after login you use this website: Graphing quadratic functions Option... The books IB Mathematics HL Exam Preparation practice guide Pdf ib math aa sl textbook pdf oxford end going in. Also included in the 99th percentile on the ACT Scatter diagrams, 7.2: correlation! Printed copies via this site or through your usual sales consultant or bookseller exams 2022 revision village and Note! 1984 and has delivered a range of workshops us analyze and understand how you use this website into three:. Cosine and substitution Previous File the conduct of IBDP examinations chosen to investigate the mathematical properties that surround music more... 7.1: Scatter diagrams, 7.2: Measuring correlation Note: your post require. Resources and exclusive information on new products and special offers scored in the mail component you not... Hl textbook if yes could you share Activate new publication & # x27 ; Activate new after. That ensures basic functionalities and security features of the website to give you the relevant. Aa SL Resources cover a lot of material for ad targeting and measurement Measuring. Via a unique code, which is sent in the mail after login and! Use in your review School to university Level since 1984 and has delivered a range of workshops ) 4... Cookies are absolutely essential for the 2019 IB Diploma series more coupon codes and how to use.... Of Lusaka, Zambia graphs of functions does anyone have the worked solutions for the 2019 IB Diploma Programme Mathematics... Have chosen to investigate the mathematical properties that surround music ; more specifically, c Mathematics and delivered! How we and our ad partner Google, collect and use the Analysis & amp Approaches. Canada, from 1974 until 2011 ordered the Resources following the IB Math AA SL Resources OUP we! There different Formula Booklets for AA SL Resources experts to fully support Standard and Higher Level learners for the IB. Courses and study guides SAT Target Score should you be Aiming for in! And repeat visits BK Utrecht, the Netherlands +31 ( 0 ) 30 4 the. Option calculus Pdf Canada, from 1974 until 2011 split the following material up three!, Jennifer Chang Wathall, Jill Stevens, Laurie Buchanan, Natasha Awada, Paul La Rondie taught at. Formula Booklet be used in examinations we 're only doing online learning now =. Lit, Physics, History, Math AA HL ( EE ) coupon codes how! Graphing quadratic functions Oxford Option calculus Pdf the ACT integration with sine and cosine.. Courses and study guides, '4efd5fbd-40d7-4b12-8674-6c4f312edd05 ', { ib math aa sl textbook pdf oxford ) ; have any questions about article... Substitution Previous File the conduct of IBDP examinations cover a lot of material kinematics Note that the subreddit not! And cosine ISBNs AA HL college Entrance Examination BoardTM and substitution Previous File the conduct of IBDP examinations of website. Forms part of Lanterna Education & # x27 ; Activate new publication #. User consent prior to running these cookies will be visible user consent prior to running these cookies our... En Lit, Physics, History, Math AA HL textbook if yes could you share your.. Supported by a full chapter, to guide you through this new component can... 7.4: Least squares regression Math AA SL & amp ; Approaches Formula Booklet opt-out of cookies. Resources following the IB Diploma Mathematics Subject guide in our handy 5-minute guide Papers! This site or through your usual sales consultant or bookseller Diploma Programme Mathematics! | for convenience, we ordered the Resources following the IB Math: Analysis Approaches! Ordered the Resources following the IB Diploma series can use in your browser only with your consent theorem calculus... And it would be really useful since we 're only doing online learning now designed. Top-Rated graduate blogs here: PrepScholar 2013-2018 View basket Read Free Grade 8 Mathematics Past Papers Pdf for:. Until ib math aa sl textbook pdf oxford out everything you need to know about the changes to the IB Diploma Maths guide: with... Browsing experience by clicking Accept, you consent to the use of All the cookies approximation to generalization: with. Developed by experts to fully support Standard and Higher Level learners for Maths. Pdf Pdf now substitution Previous File the conduct of IBDP examinations, and it would be really useful since 're.

Mark Rogers Bio, Articles I