Math Department Course Descriptions

2122 Business Math 5 CREDITS Grade: 12

Prerequisite: Algebra 1 or concurrent enrollment in Algebra 1

This course is designed to provide students with a comprehensive study of the mathematics used in consumer decision making for the present time and in the future. Calculator usage will be taught to enable the student to perform advanced calculations and enhance problem solving skills. Topics taught include banking skills, purchases, insurance, investments, and taxes. Students who successfully complete the Consumer mathematics course will be able to solve practical and functional math problems as related to everyday situations. Meets district Math graduation requirement.

2124 Consumer Math 5 CREDITS Grade: 12

Prerequisite: None

Consumer Math is designed to provide students with a comprehensive study of the mathematics used in consumer decision-making for the present time and in the future. Calculator usage will be taught to enable the student to perform advanced calculations and enhance problem-solving skills. Topics taught include banking skills, purchases, insurance, investments and taxes. Students who successfully complete the Consumer Mathematics course will be able to solve practical and functional math problems as related to everyday situations. This course can not be repeated for credit.

2168 Algebra 1 Essentials Grades: 9 - 12

Prerequisite: None

Algebra Essentials is for students who struggle to succeed in the regular Algebra 1 course. Algebra Essentials minimizes the number of standards and the rigor of those standards in an effort to make algebra accessible to all students. Although some standards are not listed as outcomes, all standards are introduced. Students will proceed to Integrated Math.

2132 Algebra 1 Grades: 9 - 12

Prerequisite: Teacher recommendation or passing grade in Pre-Algebra

Algebra 1 is a course for the college-bound student. Topics that will be covered include the following: arithmetic operations on equations, ratio and proportion, systems of linear equations, use of formulas, solutions of quadratic equations by factoring and using the quadratic formula, linear graphing, word problems. Meets UC/CSU (Mathematics “c” requirements.

2108 Integrated Math Grades: 10 - 12

Prerequisite: Teacher recommendation and successful completion of Algebra B or Algebra 1

Integrated Mathematics 1 is designed to help strengthen the student’s knowledge of the Algebra 1 standards as well as introduce key , use of formulas, solutions of quadratic equations by factoring and using the quadratic formula, linear graphing, word problems, and a study of the measurements, properties, and relationships of triangles, quadrilaterals, and circles. This course meets the district graduation requirements for Mathematics.

2102 Geometry Essentials Grades: 11 - 12

Prerequisite Grade of D or better in Integrated Math 1. Students earning an F in the regular course may choose to take

Geometry Essentials rather than repeating the regular course.

Geometry is a study of measurements, and the properties and relationships of plane and solid figures. This course is for students who struggle to succeed in the regular Geometry course. While the regular course has all 22 geometry standards as outcomes and is written to prepare students for college prep algebra 2 and beyond, Geometry Essentials minimizes the number of standards and the rigor of those standards in an effort to make geometry accessible to all students. Although some standards are not listed as outcomes, all standards will be introduced. The major difference between this course and the regular course is that rather than write proofs, students will identify and justify steps in proofs. Students will take the CST in Geometry. Most students will complete their 30 math credit requirement for graduation with this course. Students should take either the regular Geometry course or the Essentials course. Only 10 credits in geometry will be applied to the 30 math credits required for graduation.

2134 Geometry Grades: 9 - 12

Prerequisite: Grade of C or better in Algebra 1 or Algebra B.

Geometry is a study of measurements, properties and relationships of points, lines and angles, or more specifically, a study of the measurements, properties and relationships of triangles, quadrilaterals, circles and the nature of deductive and inductive proofs. This course meets UC/CSU (Mathematics-c) requirements.

2104 Advanced Integrated Math 1 Grades: 9 - 12

Prerequisite: C or better in Algebra 1

Adv. Integrated Math is a course for college bound students that is intended to be a bridge to the Algebra 2. This course should be taken after Geometry prior to taking Algebra 2. This course will allow students to strengthen and refresh their algebra skills to a level needed for success in Algebra 2. Most of the California Integrated 1 standards will be covered with emphasis on applications and an in depth Algebra 2 perspectives at each standard. Meets UC/CSU Mathematics “c” requirements.

2136 Algebra 2 Grades: 9 - 12

Prerequisite: Grade of C or better in Geometry

Algebra II is a course designed to expand on the subjects covered in Algebra I. Additional topics to be covered include: fractional exponents, quadratic inequalities, binomial theorem, sequences, function concepts, exponential and logarithmic functions and complex numbers. Meets UC/CSU Mathematics “c” requirements.

2158 Finite Math Grades: 11 - 12

Prerequisite: C or better in Algebra 2, or teacher approval

Finite math is a class recognized by CSU to meet their 4th year requirement for incoming students. The course provides students who complete Algebra 2 an opportunity to study math concepts and practice mathematical skills relevant to and prerequisite for success in the college disciplines of business, economics, social science and life science. Students will study functions, matrices, linear programming, probability and statistics and game theory. This course provides an alternative choice to enrolling in pre-calculus which is designed primarily for students interested in preparing for a career in the physical sciences, engineering, or math. This class also provides a “full exempt status” for the student previously deemed “conditionally exempt” by the CalStateUniversity system with regard to taking the systems entry level math test (ELM). (High school students are considered “conditionally exempt” from taking the ELM test if they pass the math addendum to the California State Test.) This course meets UC/CSU (Mathematics-c) requirements.

2146 Pre-Calculus Grades: 10 - 12

Prerequisite: Algebra 2 with a “C” grade or better and/or teacher recommendation

This course represents a synthesis of subject matter covered in the advanced high school math disciplines of linear algebra, mathematical analysis, trigonometry and statistics. The purpose of this course is to prepare the college preparatory student for Calculus. Therefore, the content standards chosen from the above mentioned disciplines focus instruction on the following topics: polynomial functions and “curve fitting”, plane curves and parametric equations, finite and infinite series, mathematical induction, statistics, matrices and systems of equations, polar equations of conic sections snd the notion of limits. In addition, trigonometry topics will include: trigonometric functions, solutions of right triangles, solutions of oblique triangles, inverse trigonometric equations, trigonometric form of complex numbers including De Moivre’s Theorem and polar coordinates. Meets UC/CSU (Mathematics-c) requirements.

2142 CalculusAB Advanced Placement Grades: 10 - 12

Prerequisite: A, B, or C Grade in Pre-Calculus

An Advanced Place (AP) course in calculus consists of a full high school academic year of work that is comparable to calculus courses in college and universities. Meets UC/USC Mathematics “c” requirements

2120 Statistics Advanced Placement Grades: 9 - 12

Prerequisite: Algebra II with a grade of B or better or teacher recommendation.

The topics for AP Statistics are divided into four major themes: exploratory analysis, planning a study, probability, and statistical inference. Exploratory analysis of data makes use of graphical and numerical techniques to study patterns and departures from patterns. Characteristics, such as shape, location, variability, and unusual values will be explored. Data will be collected according to a well-developed plan. The plan will identify important variables related to the conjecture and specify how they are to be measured. From the data collection plan, a model will be formulated from which inferences can be drawn. Probability is the tool used for anticipating what the distribution of data should look like under a given model. Random phenomena are not haphazard; they display an order that emerges only in the long run and is described by a distribution. Statistical inference guides the selection of appropriate models. Models and data interact in statistical work; models are used to draw conclusions from data, while the data is allowed to criticize and even falsify the model through inferential and diagnostic methods. Inference from data will be thought of as the process of selecting a reasonable model, including a statement in probability language of how confident one can be about the selection.