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Mathematics


Mathematics

 

Algebra 1A/1B  (300):  2 credits – Grade 9 – Weight 1.0

Students who successfully complete Algebra 1A/1B will meet the Algebra 1 requirement for graduation.  Students will solve problems that involve real numbers, algebraic expressions, solving equations and inequalities, using formulas, reading problems, polynomials, graphing, and factoring. Students will continually develop critical thinking skills and number awareness throughout the course.

 

Algebra 1  (302):  1 credit – Grade 9 – Weight 1.0

This course is designed for students with a strong math background and who are proficient in working with fractions and decimals.  Students will solve problems that include mathematical definitions, solving equations, using formulas, reading problems, working with signed numbers, working with polynomials, graphing, factoring, and roots. 

 

Comprehensive Algebra (303):  1 credit – Grades 10, 11, 12 – Weight 1.0

This course begins with connections back to earlier work, efficiently reviewing algebraic and statistical concepts that students have already studied while at the same time moving students forward into the new ideas described in the high school Common Core Standards for Algebra 2. Topics to be studied are writing, solving, and graphing linear equations, functions, and inequalities in one and two variables, writing, solving, and graphing systems of linear equations and inequalities, simplifying exponential and radical expressions, equations, and functions, simplifying, factoring, and solving quadratic expressions and equations, and interpreting, analyzing, and displaying data.

This course is required for students who scored basic or below basic on the Algebra Keystone exam.

 

Geometry (304):  1 credit – Grade 9, 10, 11 – Weight 1.0

This course is designed to introduce students to the concepts of Geometry.  Students will solve problems that include points, lines, planes, angles, triangles, parallel lines, quadrilaterals, polygons, congruence, similarity, circles, perimeter, area, surface area, and volume.  Logical thinking and reasoning and the development of deductive geometric proofs will also be included.  Emphasis will be placed on teaching Geometric concepts using Algebra skills. Prerequisite:  Algebra IAB/Algebra 1 or teacher recommendation

 

Honors Geometry (304H):  1 credit – Grade 9, 10 – Weight 1.1

This course is designed to introduce students to the concepts of Geometry.  Students will solve problems that include points, lines, planes, angles, triangles, parallel lines, quadrilaterals, polygons, congruence, similarity, circles, perimeter, area, surface area, and volume.  Logical thinking and reasoning and the development of deductive geometric proofs will also be included.  Emphasis will be placed on teaching Geometric concepts using Algebra skills.  Honors Geometry will provide expectations and opportunities for students to engage in more rigorous and complex content and processes, and to develop authentic products that reflect the students’ understanding of key concepts.  The curriculum includes appropriate adaptations for enriched learning for pursuing in–depth students that require abstract and higher–order thinking skills.   Prerequisite:  Algebra 1 or teacher recommendation.

 

Algebra 2 (306):  1 credit – Grade 9, 10, 11, 12Weight 1.0

This course is designed to continue the study of Algebra.  Students will solve problems that include factoring, graphing, solving complex equations, exponents, systems of linear equations, rational expressions, radicals, word problems, complex numbers, and more advanced topics. Prerequisite:   Geometry or student may take concurrently with Geometry with teacher recommendation.

 

Honors Algebra 2 (306H):  1 credit – Grade 9, 10, 11 – Weight 1.1

This course is designed to continue the study of Algebra.  Students will solve problems that include factoring, graphing, solving complex equations, exponents, systems of linear equations, rational expressions, radicals, word problems, complex numbers, and more advanced topics.   Honors Algebra 2 will provide expectations and opportunities for students to engage in more rigorous and complex content and processes, and to develop authentic products that reflect the students' understanding of key concepts.  The curriculum includes appropriate adaptations for enriched learning for pursuing in–depth students that require abstract and higher–order thinking skills.  Prerequisite:   Geometry/Honors Geometry or teacher recommendation.

 

Pre–Calculus (308):  1 credit – Grade 10, 11, 12 – Weight 1.1

This course is an extension of Algebra II with the emphasis in Trigonometry and introductory Calculus topics. All major areas covered in Algebra II are reinforced at a greater depth with additional applications. The course is designed to encompass all those topics necessary to be successfully prepared for a calculus course.  Prerequisite:  Algebra 2/Honors Algebra 2 or teacher recommendation.

 

Calculus (309):  1 credit – Grade 11, 12 – Weight 1.1

This course is designed for seniors who have successfully completed Algebra, Geometry, and Advanced Algebra/Trigonometry and want to continue their study of mathematics.  Topics covered include functions, introduction to calculus, limits and continuity, derivatives of algebraic and trigonometric functions, and integration of algebraic and trigonometric functions.  Prerequisite:  Pre–Calculus or teacher recommendation.

 

AP Calculus AB (309AP):  1 credit – Grade 12 – Weight 1.2

This course is designed as a college level course for students who have successfully completed Calculus and want to continue their study of mathematics.  Topics include functions, graphs, and limits; derivatives; and integrals.  The course provides students with the opportunity to work with functions represented in a variety of ways – graphically, numerically, analytically, and verbally – and emphasizes the connection among these representations.   The course teaches students how to communicate mathematics and explain solutions to problems both verbally and in written sentences.  Pre–requisite:  Calculus or teacher recommendation.

 

Applications of Algebra & Geometry (307):  1 credit – Grade 11, 12 – Weight 1.0

This course is designed to cover the usage of algebra and geometry for post–high school life.  Topics covered in this course are wages and banking, money management, graph theory, linear programming, basic probability and statistics, and trigonometry.  The course develops a students’ ability to communicate and apply mathematical skills to real–life applications.

Prerequisites:  Geometry

 

Probability & Statistics (314):  1 credit – Grade 11, 12 – Weight 1.0

This course is designed to introduce students to the process of collecting and analyzing data.  Students will also gain a deeper understanding into probability.  Course topics include samplings, statistical studies, tests of significance, and making and interpreting distributions.  Prerequisites: Algebra 1 and Geometry

 

Introduction to Computer Science with Technical Applications (315): 1 credit-Grade 11, 12 – Weight 1.0

This course introduces students to problem solving and analysis, and their relationships to computational thinking.  It covers basic programming concepts such as variables, values, mathematical and logical expression evaluation, decisions, loops, and functions, with an emphasis on problem solving strategies and techniques.  Students will apply these concepts by writing programs in a high level language.  One important aim of this course is to prepare students without prior programming experience to succeed in a more in-depth and rapid-paced introductory programming course that prepares them for an ever changing workforce.