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

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MATHEMATICS<br />

The mathematics department at <strong>University</strong> <strong>Liggett</strong> School provides a challenging, academic program<br />

through a comprehensive and developmentally appropriate curriculum. All students are encouraged to<br />

learn mathematical concepts and procedures with understanding, building on prior knowledge and<br />

experience. We offer differentiated instruction at all grade levels. Calculators are used to enhance and<br />

stimulate learning; however, they do not replace the need for mastery of basic computational skills.<br />

The Upper School focuses on preparing students with the necessary mathematical foundation for their<br />

future endeavors. Problem solving and critical thinking skill development are continued and the use of<br />

higher-ordered thinking skills is developed as more complex mathematical tasks are presented. Students<br />

must successfully complete two years of algebra and one year of geometry in order to fulfill the<br />

graduation requirement. However, most students enroll in advanced electives, recognizing that a solid<br />

mathematics background with good reasoning skills will enhance their opportunities and options in this<br />

ever-changing world.<br />

Algebra I<br />

Full year, one credit<br />

This <strong>course</strong> is designed for students who have had minimal exposure to the topics of algebra. Emphasis<br />

is placed on the extension of basic algebraic concepts, and students are encouraged to apply their<br />

understanding to problems and systems that can be modeled mathematically. Topics of study include<br />

operations with polynomials, linear equations and inequalities, systems of equations and inequalities,<br />

polynomial expressions and equations, properties of exponents, graphs, and functions. A TI-83 or 84<br />

graphing calculator is required.<br />

Prentice Hall Mathematics: Algebra 1 (2004) ISBN 0-<strong>13</strong>-052316-X<br />

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

Algebra I Accelerated<br />

Full year, one credit<br />

This <strong>course</strong> is designed for students who have had an introduction to algebra. Emphasis is placed on the<br />

extension of basic algebraic concepts, and students are encouraged to apply their understanding to<br />

problems and systems that can be modeled mathematically. Topics of study include operations with<br />

polynomials, linear equations and inequalities, systems of equations and inequalities, polynomials,<br />

rational expressions and equations, radical expressions and equations, properties of exponents and<br />

exponential equations, graphs, and functions. A TI-83 or 84 graphing calculator is required.<br />

Prentice Hall Mathematics: Algebra 1 (2004) ISBN 0-<strong>13</strong>-052316-X<br />

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

Geometry<br />

Prerequisite: Algebra I<br />

Full year, one credit<br />

This required <strong>course</strong> introduces students to a deductive system built on the rules of logic. Understanding<br />

of concepts is enhanced through analytic problem solving, including coordinate geometry. Throughout<br />

the <strong>course</strong>, emphasis is placed on the connection between geometry and algebra. Characteristics and the<br />

interrelationships of geometric figures such as points, lines, planes, segments, angles, polygons, circles<br />

and solids are explored. Topics of study include parallel and perpendicular lines, congruence, similarity,<br />

basic trigonometry, area and volume. A TI-83 or 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 />

23

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