Mathematics

The Cal Coast Academy Mathematics curriculum teaches students to think logically, critically, and analytically, and maintain a positive open attitude toward solving unfamiliar problems. Students are taught how to work independently with resourcefulness and creativity, as well as in a collaborative setting. They learn to communicate math concepts effectively, to assess correctness and appropriateness of solutions, and to use technology as an aid to understanding while appreciating its power and limitations.

Our annual school-wide student testing and students personal PSAT, SAT, ACT, and AP testing results further assist our Math instructors in assessing students individual needs, tracking their yearly progresses, and creating course customization to help strengthen their deficiencies.

All middle school students must take Mathematics. Upper school students must take three additional years of Mathematics, including Algebra I, Geometry, Algebra II or Algebra II/Trig.

AP Calculus - Calculus AB is primarily concerned with developing the students' understanding of the concepts of calculus and providing experience with its methods and applications. The course emphasizes a multi-representational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. The connections among these representations also are important. Broad concepts and widely applicable methods are emphasized. The focus of the AP Calculus AB course is neither manipulation nor memorization of an extensive taxonomy of functions, curves, theorems, or problem types. Thus, although facility with manipulation and computational competence are important outcomes, they are not the core of this course. Technology is used regularly by students and teachers to reinforce the relationships among the multiple representations of functions, to confirm written work, to implement experimentation, and to assist in interpreting results. Through the use of the unifying themes of derivatives, integrals, limits, approximation, and applications and modeling, the course becomes a cohesive whole rather than a collection of unrelated topics.

AP Statistics - The purpose of the AP Statistics course is to introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Students are exposed to four conceptual themes: 1. Exploring Data - Describing patterns and departures from patterns. 2. Sampling and Experimentation - Planning and conducting a study. 3. Anticipating Patterns - Exploring random phenomena using probability and simulation. 4. Statistical Interference - Estimating population parameters and testing hypotheses. The AP Statistics course lends itself to a mode of teaching that engages students in constructing their own knowledge. Students can plan and perform data collections and analysis, either individually or in small groups, where the teacher serves in the role of a consultant, rather than a director. This approach gives students ample opportunity to think through problems, make decisions and share questions and conclusions with other students as well as with the teacher. Technology, projects and laboratories, cooperative group problem-solving, and writing, as a part of concept-oriented instruction assessment are important concepts in the AP Statistics course. This approach to teaching AP Statistics allows students to build interdisciplinary connections with other subjects and with their world outside school.

 

 

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Friday, July 28th 

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