CosumnesOaksHigh School

Mathematics Course Offerings

Course DescriptionAlgebra 1 CPa-g requirement (10 credits)

Algebra 1 is a course designed to introduce students to the foundations of many mathematics principles and concepts, to include the 25 math standards outlined in the California Math Framework (Content standards may be viewed on line at ). These standards include the following concepts and skills: number sense properties, integers, fractions, functions, solving equations and inequalities, writing equations from application problems, graphing, absolute value, ratio, proportions, factoring, solving quadratic equations, and using logical arguments. Students will also learn to perform basic operations with real numbers, simplify polynomial and rational expressions, identify functions and make connections with their graphs, and use problem solving skills.

Course DescriptionGeometry a-g requirement (10 credits)

Geometry is a course designed to introduce students to develop logical arguments through formal and informal proofs in a geometric setting. This course will cover the 22 math standards outlined in the California Math Framework (Content standards may be viewed on line at ). These standards include the major geometric concepts of angles, lines, planes, polygons, triangles, circles, polyhedra, properties of congruency and similarity of polygons, transformations and measures. The concepts of 3-D will be introduced. Students will be able to make connection between mathematics to our real physical world. Algebra is a major component and tool needed for this course.

Course Description Geometry (Honors)a-g requirement (10 credits)

Prerequisite: Algebra 1 with a grade of A extra grade point 5.0

Teacher Recommendation (grade of B or lower)

Honors Geometry is a course designed to provide students with experiences that deepen the understanding of two and three-dimensional objects and their properties. This course will cover the 22 math standards outlined in the California Math Framework (Content standards may be viewed on line at ). In addition to the prescribed standards, emphasis will be placed on Inductive and deductive reasoning (principles of logic), the formalizing of proofs, and on the theory of geometry. Students will be required to produce an end of the course exit portfolio. The history of Euclidean geometry, its development and content will be explored thoroughly.

Course DescriptionAlgebra 2a-g requirement (10 credits)

Algebra 2 is a course designed to complement and to expand the mathematical content and concepts of Algebra 1 and Geometry. This course will cover the 25 math standards outlined in the California Math Framework (Content standards may be viewed on line at ). These standards include concepts such as graphing and solving problems with quadratics, exponential and logarithmic functions, even and odd functions and conic sections. Other concepts include rational expressions, complex numbers, sequences and series, counting and probability, statistics, solving linear equations and inequalities and trigonometry. Students who master Algebra 2 will gain experience with higher mathematical concepts which will open the possibilities to their future studies in the area of mathematics.

Course DescriptionAlgebra 2 (Honors)a-g requirement (10 credits)

Prerequisite: Algebra 1 with a grade of A extra grade point 5.0

Geometry with a grade of A

Teacher Recommendation (grade of B or lower)

Honors Algebra 2 is a course that expands on the topics of Algebra 1 and Geometry and provides further development of concept of function. This course will cover the 25 math standards outlined in the California Math Framework (Content standards may be viewed on line at ).

In addition to the prescribed standards, emphasis will be placed on exploration and appreciation of the topics covered in this course. An end of chapter project will be assigned and students will be required to produce an end of the year exit portfolio. This course will place more emphasis on the mathematical theories which are introduced and a higher degree of difficulty in problem solving are areas of concentration.

Course DescriptionPre-calculusa-g requirement (10 credits)

Prerequisite: Algebra 2 with a grade of C

Teacher Recommendation

Pre-calculus extends the study of Algebra 2. The course topics include college algebra, advanced trigonometry, and analytic geometry of two and three dimensions. Students experience a thorough analysis of all elementary functions and their graphs, to include exponential, logarithmic and trigonometric functions. Other topics include trigonometric identities, polar coordinates, sequence and series.A thorough discussion on the topic of limits and continuous functions will be conducted. Experience with graphing calculators is incorporated.

Course DescriptionPre-Calculus (Honors)a-g requirement (10 credits)

Prerequisite: Algebra 2 with a grade of Aextra grade point 5.0

Teacher Recommendation with a grade below A

This course extends the study of Algebra to include the study of relations and functions, exponential and logarithmic functions, trigonometry in triangles, trigonometric functions, trigonometric identities and equations, polar coordinates and complex numbers, sequences and series and data analysis. In addition, students apply technology, modeling and problem-solving skills to applications from the above topics. Vectors in two and three dimensions are studied and applied. Problem simulations are explored in multiple representations-algebraic, graphic, and numeric. Quadratic relations are represented in polar, rectangular and parametric forms. The concept of limit is applied to rational functions and to discrete functions such as infinite sequences and series. The formal definition of limit is applied to proofs of the continuity of functions and provides a bridge to calculus.