Math in E172

Position, Velocity, and Acceleration Building Thinking Classroom Activity for AP CalculusEngage your AP Calculus students in a dynamic, Building Thinking Classroom activity that explores the fundamental connections between position, velocity, and acceleration through calculus concepts. Starting with an intriguing prompt about a ladybug moving along a branch, this task card set leads students through real-life applications, encouraging them to analyze changes in movement using calculus principles

This student handout is a detailed reference sheet for mastering essential integration techniques in the AP Calculus AB/BC curriculum. Covering everything from u-substitution to partial fraction integration, it provides a structured guide to recognizing when to apply specific techniques, key strategies, and worked examples. Key Features:Concise Strategy Guide: Includes quick tips and “what to look for” cues for each type of integration, helping students identify the correct approach at a glance.

Position, Velocity, and Acceleration Reference Sheet for AP Calculus This student-friendly handout serves as a comprehensive reference for key concepts of Position, Velocity, and Acceleration in the AP Calculus curriculum, covering the essential material from Units 4 and 8. Designed to support students in mastering fundamental topics tested on the AP Calculus exam, this resource breaks down critical definitions, derivatives, integrals, and the relationships among position, velocity, and accelera

Discovering Inverse Trigonometry Derivatives This engaging Building Thinking Classrooms activity guides students through the discovery of the derivatives for inverse trigonometric functions, specifically focusing on inverse sine, tangent, and cosine. Using a combination of collaborative problem-solving and independent analysis, students will develop a deep understanding of these derivatives through hands-on exploration and critical thinking. Key Features of this Resource:Teacher Guide: Comprehen

This comprehensive Unit Circle Analysis Worksheets set is designed to help students master the unit circle and its related trigonometric functions. It includes: A Unit Circle Table of Values Record Sheet for students to complete and referenceA Signs of the Trigonometric Functions Analysis Worksheet to understand function behaviors across different quadrantsDetailed Unit Circle/Trigonometric Function Properties for sine, cosine, tangent, cotangent, secant, and cosecantFree, easy-to-use cutouts o

This Implicit and Chain Rule Differentiation Warm-Up and Exit Ticket resource is perfect for reinforcing key concepts and techniques in calculus. With a total of 8 problems, this set includes 4 problems focused on implicit differentiation and 4 problems on the chain rule. There is one warm-up and on exit ticket included in this resource to help teachers assess students' understanding at the start and end of a lesson. It’s a versatile tool to ensure students are practicing foundational differe

The Chain Rule Class Chain Project is a collaborative and creative activity designed to help students master the chain rule. In this project, students create a unique chain rule problem and break it down into four clear, step-by-step solutions written on individual slips of paper. These slips are then linked together with their classmates' work to form a physical chain of problems, creating a visual and engaging representation of their understanding. This project encourages students to think cr

Bring creativity and mathematics together with the Polar Graph Shrinky Dink Project! This engaging and hands-on activity is perfect for reinforcing students' understanding of polar graphs while giving them a fun way to express their artistic side. Students will use Desmos to design unique polar graphs, print them, and then trace and color their designs onto shrinky dink paper. Once baked, the shrinky dinks can be turned into colorful keychains for young drivers or ornaments for the holidays. Ide

This buildable memorization list is an essential resource for students progressing through Honors Precalculus, AP Calculus AB, and AP Calculus BC. Designed as a handy reference, it helps students compile and retain key formulas, theorems, and concepts crucial for success in calculus. Organized to grow with students over the course of three classes, this tool offers a comprehensive guide they can rely on as they prepare for class tests and the AP exam. With this structured and easy-to-use list, s

After completing Unit 3 of the AP Calculus curriculum, students are ready to earn their official "Deriver's License"! This fun and challenging assessment tests their mastery of differentiation. The download includes the Deriver's Test and a link to create personalized Deriver's Licenses. Topics covered in the assessment include: Derivatives of ConstantsDerivatives of Sums and DifferencesDerivatives of ProductsDerivatives of QuotientsDerivatives of Composites (Chain Rule)Implicit DifferentiationI

This engaging activity introduces students to the chain rule by working with composition functions and basic derivatives. Students will use a card sort format to break down the inside and outside functions and find their derivatives separately. The activity includes four pages of cards featuring functions f(x), g(x), and the derivative of the composite h′(x)=f'(g(x)*g'(x), along with an answer sheet and clear instructions. By identifying key components of the chain rule, students will develop a

This set includes 26 in-depth review problems designed to thoroughly assess and reinforce students' understanding of all derivative concepts covered in Units 1-3 of the AP Calculus curriculum. The problems span a variety of topics, ensuring students gain practice with fundamental rules such as the power, product, quotient, and chain rules, as well as more advanced derivative applications like implicit differentiation and higher-order derivatives. Ideal for solidifying key concepts before advanci