College Board Example List – AP Calculus Resources

New Product Review: Wiley Publishing’s Hughes-Hallet, Calculus, 7e AP® Edition

Wiley's Hughes-Hallet, Calculus 7e, AP EditionLearning List recently reviewed Wiley Publishing’s Hughes-Hallett, Calculus, 7e AP® Edition for Calculus AB and BC.  This updated edition contains new material and is a comprehensive resource that supports instruction in Advanced Placement (AP) Calculus AB and AP Calculus BC.  Hughes-Hallett, Calculus, 7e AP® Edition contains content for Single Variable and Multivariable calculus.

Please see our original blog post about Wiley Publishing’s Hughes-Hallett Calculus. Click here for further details.

 

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New Review: Bedford, Freeman & Worth’s (BFW) Calculus for the AP Course (Sullivan), 2nd Edition

BFW Calculus APLearning List has reviewed print materials for Bedford, Freeman & Worth’s (BFW) Calculus for the AP Course (Sullivan), 2nd Edition. This comprehensive product supports instruction in Advanced Placement (AP) Calculus AB and AP Calculus BC courses. Content is available in print and digital formats.

Calculus for the AP Course begins with a “Chapter P: Preparing for Calculus” review of functions (e.g., inverse, logarithmic, exponential), sequences, summation notation, and the Binomial Theorem. Core content is presented in 11 chapters that cover limits and continuity, the derivative and its applications, integrals, the techniques and applications of integration, series, parametric equations, polar equations, and vector functions.

Instruction is project-based and focuses on the application of calculus to real-world problems. Each chapter opens with a case study of a real-world problem (e.g., managing a river’s flow) that students will solve when they have completed the chapter. The text provides many example problems with detailed step-by-step solutions, and annotations that describe the mathematical reasoning supporting each step. Examples include problems that illustrate the real-world applications of what students are learning (e.g., constructing a rain gutter).

About BFW*

BFW believes that what happens in the classroom matters, and that a good class, a good teacher, and good content have the power to change the world—one student and one idea at a time. BFW products have long been best-sellers for AP courses. Now, in response to the needs of teachers across the country, BFW offers materials for Common Core, elective courses, and on-level programs aligned to NGSS.

Information in this section is provided by or adapted from BFW.

 

Subscribe to Learning List for access to the spec sheet, full editorial review and detailed alignment report for this material, and thousands of other widely used Pk-12 resources.

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New Review: CPM Educational Program’s AP Calculus, 3rd Edition

CPM's AP Calculus, 3rd Edition CPM Educational Program’s AP Calculus, 3rd Edition is a comprehensive single-variable calculus text that supports instruction in Advanced Placement (AP) Calculus AB and AP Calculus BC courses. Resources are available in print and eBook formats. Learning List recently reviewed eBook materials for AP Calculus AB and BC.  Reviewers found the College Board’s big ideas, enduring understandings, and essential knowledge for AP Calculus AB and BC to be well addressed in course resources. Reviewers said that the course covers these concepts effectively in a rigorous, non-traditional format that requires students to investigate and connect new concepts and strategies.

CPM’s Calculus non-traditional approach to presenting content does not include some familiar features of a mathematics text, such as an instructional narrative and example problems with step-by-step solutions. Instead, instruction emphasizes “Study Teams” made up of two to four students who work together to discover strategies and solutions. Teams work together to answer questions, justify their reasoning, and identify multiple solution strategies. The teachers’ role is to encourage students’ teamwork, facilitate discussions, and provide support when teams encounter questions they are unable to answer. Learning List’s reviewers noted that CPM’s inquiry-based approach to instruction facilitates the integration of the College Board’s Mathematical Practices for AP Calculus (MPACs), explaining that students use the MPACs each day in their work in Study Teams.

Teacher resources include background and strategies (e.g., Math Chat) to support the implementation of Study Teams. Many lessons also include recorded podcasts, or “Mathcasts,” in which an expert teacher walks users through the lesson providing background information and suggesting teaching strategies. A “Teacher Support” appendix provides information about the course’s interactive math tools, links to each Mathcast video, printable resources for some lessons (e.g., polar graph paper), professional development information, SmartBoard files for each chapter, CPM Newsletters, and errata files.

CPM Educational Program has created a webinar introduction to AP Calculus, 3rd Edition. Subscribers may view the webinar on the product’s homepage on Learninglist.com.

About CPM*

cpm logo

[Source: CPM]

CPM began as a grant-funded mathematics project in 1989 to write textbooks to help students understand mathematics and support teachers who use these materials. CPM Educational Program is now a nonprofit educational consortium of middle and high school teachers and university professors that offers a complete mathematics program for grades 6 through 12 (Calculus) designed to engage all students in learning mathematics through problem solving, reasoning, and communication.

CPM’s Mission:

CPM’s mission is to empower mathematics students and teachers through exemplary curriculum, professional development, and leadership. We recognize and foster teacher expertise and leadership in mathematics education. We engage all students in learning mathematics through problem solving, reasoning, and communication.

CPM’s Vision:

CPM envisions a world where mathematics is viewed as intriguing and useful, and is appreciated by all; where powerful mathematical thinking is an essential, universal, and desirable trait; and where people are empowered by mathematical problem-solving and reasoning to solve the world’s problems.

*The content in this section is provided by or adapted from CPM.

Subscribe to Learning List for access to the spec sheet, full editorial review and detailed alignment report for this material, and thousands of other widely used Pk-12 resources.

 

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New Review: Cengage Learning Calculus (Larson), 11th Edition, AP Edition

Cengage Learning's AP Calculus (Larson)Learning List has reviewed Cengage Learning’s Calculus (Larson), 11th Edition, AP Edition. This is a comprehensive course for Advanced Placement (AP) calculus. Resources are available in print format and include some online resources. Instruction is designed specifically for AP courses and provides guidance in preparing for and taking AP exams. The text covers content for AP Calculus AB and BC courses.

Calculus opens with preface that discusses the AP Calculus exam and test preparation strategies. Core content is presented in 16 chapters that present content in a linear and logical manner. The first half of the course begins with a “Chapter P: Preparation for Calculus” that reviews key concepts needed for the study of calculus (e.g., linear models, rates of change, inverse functions), and then covers limits, differentiation, integration, differential equations, integration techniques, and logarithmic, exponential, and transcendental functions. The second half of the course addresses infinite series; conics, parametric equations, and polar coordinates; vectors and the geometry of space; vector-valued functions; functions of several variables; multiple integration; and vector analysis. Chapter 16 is available online and presents “Additional Topics in Differential Equations,” such as first-order equations and series solutions of differential equations.

Instruction supports discovery learning and the synthesis of the College Board’s big ideas for AP Calculus. Margin notes throughout the text support students’ preparation for AP exams and end-of-chapter exercises include questions formatted to reflect the AP exam. The level of rigor in instruction, in problem sets, and in AP Practice Questions matches that of the AP exam.

About Cengage Learning*

Cengage Learning is a leading educational content, technology, and services company for the higher education and K–12, professional and library markets worldwide. The company provides superior content, personalized services and course-driven digital solutions that accelerate student engagement and transform the learning experience.

Information in this section is provided by or adapted from Cengage Learning.

 

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New Review: Wiley Publishing’s Anton: Calculus, 11th Edition

Wiley Publishing's Anton: Calculus, 11th EditionLearning List has reviewed Wiley Publishing’s Anton: Calculus, 11th Edition. This comprehensive calculus product supports instruction in Advanced Placement (AP) Calculus AB and AP Calculus BC courses. Resources are available in print and eBook formats and additional online instructional materials are available from Wiley.

Content is presented in 15 chapters that address limits and continuity; derivatives, including graphing and applications; differentiation; integrals, including applications and the principles of evaluating integrals; modeling with differential equations; infinite series; parametric and polar curves; conic sections; vector-valued functions; partial derivatives; multiple integrals; and topics in vector calculus. Appendices include a review of trigonometry and summaries of functions, including families of functions and inverse functions. Additional “Web Appendices” are available online and address additional topics, such as the use of technology (e.g., graphing calculators), selected proofs, and differential equations.

Online resources available at WileyPLUS facilitate teacher-led instruction and student self-study. These include ORION adaptive practice tools, video tutorials, animations, and printable study guides and solutions manuals for each chapter. ORION adaptive software provides a diagnostic assessment that evaluates students’ understanding of chapter content by each objective. Animations and videos demonstrate key concepts (e.g., graphing a piecewise function) with voiceover narration. Study guides summarize and review learning objectives, vocabulary, and key ideas from each chapter and each chapter section. Solutions manuals provide answers to odd-numbered exercises.

About Wiley Publishing*

Wiley’s mission is to help teachers teach and students learn. Wiley maximizes the value of its content by publishing it in all media, notably through WileyPLUS, the online solution which has been used by nearly 1 million students in about 20 nations worldwide. Available in virtually all our disciplines, WileyPLUS courses contain the full online version of the text, plus all of the integrated teaching and learning resources instructors and students need to solve the problems inherent to their courses. Using WileyPLUS, instructors automate the assigning and grading of homework, and build highly visual presentations to engage students. Students complete assignments online with instant feedback as they are working, link directly to specific portions of their online text, and track their own progress in a personal gradebook. Students using WileyPLUS have consistently reported better understanding of material, better performance in class, and greater interest in learning.

Information in this section is provided by or adapted from Wiley Publishing.

 

Subscribe to Learning List for access to the spec sheet, full editorial review and detailed alignment report for this material, and thousands of other widely used Pk-12 resources.

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New Review: Bedford, Freeman & Worth (BFW) Rogawski’s Calculus for AP: Early Transcendentals, 2nd Edition

Rogawski's Calculus (BF&W)Learning List has reviewed print materials for Bedford, Freeman & Worth’s (BFW) Rogawski’s Calculus for AP*: Early Transcendentals, 2nd Edition. This is a comprehensive product to support instruction in Advanced Placement (AP) Calculus AB and AP Calculus BC courses. Content is available in print and digital formats and includes additional online resources. Instruction addresses conceptual understanding and skills and the application of calculus in a variety of real-world settings.

Core content is presented in 12 chapters. The first chapter is a review of key pre-calculus concepts, such as graphing and linear, quadratic, trigonometric, and hyperbolic functions. Subsequent chapters follow a logical progression, beginning with the concepts of limits and differentiation (chapters 1-4) and progressing to integrals and the techniques and applications of integration (chapters 5-8). Final chapters (i.e., 9-12), address differential equations; infinite series; parametric equations, polar coordinates, and vector functions; and differentiation in several variables.

Instruction closely tracks the College Board’s big ideas, essential knowledge, and learning objectives for AP Calculus AB and AP Calculus BC. The use of technology to support problem solving is integrated throughout the content. Each chapter includes 20 multiple-choice questions and four multi-part free-response questions that reflect the format and rigor of the AP exam. Additional learning resources are provided in the course’s accompanying study guide and companion website.

About BFW*

BFW believes that what happens in the classroom matters, and that a good class, a good teacher, and good content have the power to change the world-one student and one idea at a time. BFW products have long been best-sellers for AP courses. Now, in response to the needs of teachers across the country, BFW offers materials for Common Core, elective courses, and on-level programs aligned to NGSS.

Information in this section is provided by or adapted from BFW.

 

Subscribe to Learning List for access to the spec sheet, full editorial review and detailed alignment report for this material, and thousands of other widely used Pk-12 resources.

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