These videos show how to use the technology to solve problems and explore the topic as shown in the question.ĪP is a registered trademark of the College Board, which was not involved in the production of, and does not endorse, this product. In the two technology videos available for each question, the free-response question is used as a platform for showing several strategies to explore a topic or topics on both the TI-Nspire™ CX and TI-84 Plus CE graphing calculators. These videos can be used with students as an overview of specific topics in AP® Calculus. The questions and prompts contained in these presentations were written specifically for the TI in Focus series and so are completely unique. These videos focus on the main topic inherent in the question and give several examples on how to teach and explore the topic using graphing technology. These videos will give you great perspective on using free-response questions as a platform for teaching relevant and challenging topics. Solutions for each part of the question using technology are shown, and then possible extensions to the question or other topics the question lends itself to are explored as well. These videos explore each of the parts of the free-response question from a technology perspective. The following video would also be quite valuable for sharing with students as a test-preparation strategy. The in-depth analysis of each part of the exam question helps you, as the teacher, see where your students may struggle in similar parts and can help clarify the expected levels of communication for the exam. The resources are sorted by year and question number, as well as by topics.Īs the name suggests, these videos explore the scoring of each part of the free-response question, as well as common errors students made. The videos are based on free-response questions from the most recent AP® Calculus exams. We will briefly discuss each of the video types in order to help you make better use of this valuable set of resources. The TI in Focus: AP® Calculus resources provide videos, documents and calculator files that are intended to give that required depth. Former AP® Calculus Chief Reader Steve Kokoska and former AP® Calculus development committee member Tom Dick have partnered with Texas Instruments (TI) to make a set of resources geared to help you better prepare for teaching calculus. Depending on your interest and goals, you may take AB or BC, or both.In a world bursting at the seams with resources for teaching AP® Calculus, we are all in search of a resource that can further our ability to teach students the depth and breadth of understanding needed for success on the exam and in further math courses. Calculus AB Practice Exam From the 2012 Administration This practice exam is provided by the College Board for AP Exam preparation. The other two units that AP Cal BC covers are: Parametric Equations, Polar Coordinates, and Vector-Valued Functions, Infinite Sequences, and Series.ĭue to the difficulty level, Calculus AB and BC are college-level calculus courses therefore, students are required to take pre-calculus. Analysis of Functions: Calculus allows us to analyze the behaviors of functions by relating limits to differentiation, integration, and infinite series and relating each of these concepts to the others.īoth AP Cal AB and BC share 8 units: Limits and Continuity, Differentiation: DefinitionĪnd Fundamental Properties, Differentiation: Composite, Implicit, and Inverse Functions, Contextual Applications of Differentiation, Analytical Applications of Differentiation, Integration, and Accumulation of Change, Differential Equations, Applications of Integration.Limits: Beginning with a discrete model and then considering the consequences of a limiting case allows us to model real-world behavior and to discover and understand significant ideas, definitions, formulas, and theorems in calculus: for example, continuity, differentiation, integration, and series (BC only).It is critical that students grasp the relationship between integration and differentiation as expressed in the Fundamental Theorem of Calculus-a central idea in AP Calculus.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |