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2012-13 upper school course description book - University Liggett ...

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Geometry Accelerated<br />

Full year, one credit<br />

Prerequisite: Algebra II/Trig Accelerated or departmental recommendation<br />

This <strong>course</strong> begins by defining points, lines, angles and distance, and expands the material using<br />

deductive logic. Students explore concepts such as congruence and similarity, the interrelationships of<br />

geometric figures, trigonometry, surface area, and volume. The <strong>course</strong> combines analytic problem<br />

solving and coordinate geometry with a traditional axiomatic presentation involving the construction of<br />

proofs. A TI-83 or TI-84 graphing calculator is required.<br />

Geometry: Reasoning, Measuring, Applying (2004) ISBN 0-618-25022-0<br />

by Larson, Boswell, Stiff<br />

McDougall Littell Publishers<br />

Algebra II/Trigonometry<br />

Prerequisite: Algebra I and Geometry or departmental recommendation<br />

Full year, one credit<br />

In this <strong>course</strong>, more advanced topics in algebra are introduced and examined, and the topics of<br />

trigonometry are studied comprehensively. Major emphasis is given to the extension of number concepts<br />

to include complex numbers and the extension of function concepts to include polynomial, exponential,<br />

logarithmic and trigonometric functions. Students will explore these concepts from algebraic, numeric,<br />

and graphic perspectives. A TI-83 or 84 graphing calculator is required.<br />

Prentice Hall Mathematics: Algebra 2 (2004) ISBN 0-<strong>13</strong>-062568-X<br />

by Bellman, Bragg, Charles, Handlin, Kennedy<br />

Algebra II/Trigonometry Accelerated<br />

By departmental recommendation<br />

Full year, one credit<br />

In this <strong>course</strong>, the more advanced topics of algebra are studied in depth and a thorough treatment of<br />

trigonometry is included. There is a strong emphasis placed on the study of functions, which is enhanced<br />

through the use of the required TI-83 or 84 graphing calculator. Application of skills to non-routine<br />

problems is stressed, and students are introduced to matrices and combinatorics.<br />

Prentice Hall Mathematics: Algebra 2 (2004) ISBN 0-<strong>13</strong>-062568-X<br />

by Bellman, Bragg, Charles, Handlin, Kennedy<br />

Precalculus<br />

Prerequisite: Algebra II/Trig or departmental recommendation<br />

Full year, one credit<br />

The major concepts introduced in Algebra II/Trigonometry (properties of real and complex numbers;<br />

polynomial, logarithmic and trigonometric functions) are examined in greater depth. Conic sections,<br />

probability, and sequences and series are covered on a cursory level, and emphasis is placed on the<br />

connection of mathematical ideas to real-world situations. Students explore the concept of a limit and are<br />

introduced to the calculus operation of differentiation. A TI-83 or 84 graphing calculator is required.<br />

Advanced Mathematics: Precalculus with Discrete Mathematics and Data Analysis (2000)<br />

ISBN-<strong>13</strong>: 978-0-618-25037-0 or ISBN-10: 0-618-25037-9<br />

by Richard G. Brown<br />

Houghton Mifflin Publishers<br />

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