Algebra I
Algebra I is the study of mathematical patterns and ideas. It is balanced between learning skills, exploring concepts, and solving problems. Technology is used to gather, interpret, and represent data from real-world situations. Creating and using mathematical models is a theme throughout. Algebra is integrated with geometry, probability, and statistics. Topics covered include equations-linear, quadratic, and exponential-as well as systems of equations and inequalities, functions, and fractals.
Text/materials needed:
McDougall Littell, 2007 Algebra 1
Graphing Calculator (TI-84 or TI-83)Notebook and writing materials, Graph paper, Ruler
Geometry
This course is investigation-driven and activity-based. It covers topics of Euclidean Geometry such as deductive proof, properties of polygons, circles, similar/congruent triangles, parallel lines, area and volume, the Pythagorean Theorem, basic concepts of right triangle trigonometry, and general ideas of transformations. Computer technology and traditional Geometry tools are used in the investigations. Applications of Geometry concepts to various arts areas are incorporated within the course.
Text/materials needed:
The University of Chicago School Mathematics Project, Geometry, 3rd Edition
Graphing Calculator (TI 84 or 83) Compass, protractor, notebook and writing materials
Algebra II
Algebra II is primarily the study of functions-linear, exponential, polynomial, and parametric-through the use of data. Introductory trigonometry, statistics, and probability topics are also explored. Students use calculators, computers, and data gathering devices to investigate all topics. Throughout the course students discover the sense behind the mathematics, rather than simply learn steps for solving problems. Small group work, discussion, and the real world interpretation of the mathematics are stressed. Applications to the arts are woven throughout the curriculum.
Text/materials needed:
The University of Chicago School Mathematics Project, Advanced Algebra, 3rd Edition
Graphing Calculator (TI 84 or 83)Notebook and writing materials, Graph paper, Ruler
Advanced Mathematics
This course is designed to serve students who are preparing for Calculus or further work in mathematics. As a pre-calculus course, it offers an analytical, graphical and numerical approach to understanding polynomials, exponential functions, logarithms, and a wide variety of trigonometry topics. Additional topics may include polar graphs, conic sections, matrices, sequences, and series. Real life applications and data interpretation are integral parts of this course of study.
Text/materials needed:
Precalculus: A Prelude to Calculus, 1st ed., by Sheldon Axler
Graphing Calculator (TI-83, TI-84, or TI-86) Notebook, ruler, and writing materials.
Advanced Placement Statistics
This course introduces the students to the basic concepts of one of the most important fields of mathematics most people ever encounter. Statistics is about data, and data are numbers with a context. Students learn to make statements of facts and inferences and to state a level of confidence in their inferences. They become proficient in accurately communicating statistical concepts, including methods of data collection and valid interpretations of data. The course follows the topics outlined in the Advanced Placement curriculum in preparation for the AP Test in May.
Text/materials needed:
Yates, Moore, and Starnes, The Practice of Statistics, Third Edition
Graphing Calculator (TI 83 or 84) Fathom installed on laptop, Notebook and writing materials
Advanced Placement Calculus
This course covers approximately one and one-half semesters of college calculus. Students completing the course successfully are prepared to take the AP Calculus AB exam. Topics include limits, continuity, differentiability; optimization, related rates, separable differential equations, and slope fields; indefinite integrals, Riemann Sums, definite integrals, the Fundamental Theorem of Calculus, and applications of the definite integral. The course material is explored through class discussions, small group activities and investigations, sample exam questions, and individual study of problems.
Text/materials needed:
Massey, David B., Worldwide AP Calculus, Worldwide Center of Mathematics, LLC, 2011
Graphing Calculator (TI 83, 84, 89, or TI NSpire) AP Calculus Calculator Policy http://apcentral.collegeboard.com/apc/members/homepage/22504.html Mathematica installed on laptop Quad-ruled Composition Notebook, ruler, and writing materials.
