MATHEMATICS – COURSE CATALOG

This page covers all courses that will be offered for the 2019/2020 school year that count toward the Mathematics (c) requirement for college admissions.  Students must complete three years for UC admissions.

COURSE: INTEGRATED MATH I
COURSE NUMBER: 2001
A-G: 10 credits Mathematics (C)
PREREQUISITE: None
HOUSE: Academic
CONSERVATORY: None
HESPERIA COURSES: Periods (Jordan) Periods 1,2,3,4,7,8
RIVERSIDE COURSES: (Webb) Periods 1,2,3,4,7,8
DESCRIPTION: Integrated Math 1 is the first course of a three-course sequence including Integrated Math 1, 2, and 3. This course is aligned with the Common Core standards for Integrated Math 1. The content standards for Integrated Math 1 and standards for mathematical practice can be viewed on the CDE website. In this course, students review and develop skills learned in middle school math course and proceed into higher level mathematical reasoning, teaching them to understand and apply mathematical concepts and tools in the following ways; graphically, numerically, algebraically, and in written and spoken presentations. This course will also show physical and realistic application of mathematics and how mathematics is a great tool for problem solving in many areas of life (from personal finances to workplace applications). Students who are successful in this course will be advanced to Integrated Math 2. There are 8 modules to this class.

COURSE: INTEGRATED MATH III / PRECALCULUS HONORS
COURSE NUMBER:
A-G: 20 credits Mathematics (C), 5.0 Grading Scale, pending UC review
PREREQUISITE: Math II
COREQUISITE: Extensive summer, fall, winter, and spring break assignments required.
HOUSE: Academic
CONSERVATORY: None
HESPERIA COURSES: Periods 9
RIVERSIDE COURSES: (Hernandez) Periods 9
DESCRIPTION: 

COURSE: INTEGRATED MATH II
COURSE NUMBER: 2002
A-G: 10 credits Mathematics (C)
PREREQUISITE: Math I
HOUSE: Academic
CONSERVATORY: None
HESPERIA COURSES: Periods 1,2,3,6,7,8
RIVERSIDE COURSES: (Hernandez) Periods 1,2,3,6,7,8
DESCRIPTION: Integrated Math II is the second course of a three-course sequence including Integrated Math I, II, and III. This course is aligned with the Common Core standards for Integrated Math II. The content standards for Integrated Math II and standards for mathematical practice can be viewed on the CDE website.  This course will reinforce concepts and skills from Integrated Math I and will prepare students for Integrated Math III. For the high school Model Mathematics II course, there are five critical areas: (1) extend the laws of exponents to rational exponents; (2) compare key characteristics of quadratic functions with those of linear and exponential functions; (3) create and solve equations and inequalities involving linear, exponential, and quadratic expressions; (4) extend work with probability; and (5) establish criteria for similarity of triangles based on dilations and proportional reasoning.

COURSE: INTEGRATED MATH I/II HONORS
COURSE NUMBER: 2002
A-G: 20 credits Mathematics (C), 5.0 Grading Scale, pending UC review
PREREQUISITE: Grade letter B- or better in two prior semesters of Math
COREQUISITE: This course has extensive summer, fall, winter, and spring break assignments.
HOUSE: Academic
CONSERVATORY: None
HESPERIA COURSES: (Jordan) Period 9
RIVERSIDE COURSES: (Webb) Period 9
DESCRIPTION:

COURSE: INTEGRATED MATH III
COURSE NUMBER: 2003
A-G: 10 credits Mathematics (C)
PREREQUISITE: Math II
HOUSE: Academic
CONSERVATORY: None
HESPERIA COURSES: (Munoz) Periods 2,3,4,7,8
RIVERSIDE COURSES: (McMillan) Periods 2,3,4,7,8
DESCRIPTION: 

Integrated Math 3 is the third course of a three-course sequence including Integrated Math 1, 2, and 3. This course is aligned with the Common Core standards for Integrated Math 3. The content standards for Integrated Math 3 and standards for mathematical practice can be viewed on the CDE website. Content standards for Integrated Math 3 include:

1) Extending understanding of all functions including inverse functions, logarithmic functions, polynomial functions of degree higher than 2, rational functions and trigonometric functions.

2) Develop understanding of log properties and use them to evaluate various logarithmic expressions.

3) Modeling by use of geometry with all types of triangles and various solids.

3) Transformation of all types of functions from multiple perspectives.

4) Understanding and use of Trigonometric Functions using a variety of modalities.

5) Develop understanding of statistical functions beyond linear models.

COURSE: STATISTICS 
COURSE NUMBER: 1111
A-G: 10 credits Mathematics (C), 5.0 Grading Scale
PREREQUISITE: Math III
HOUSE: Academic
CONSERVATORY: None
HESPERIA COURSES: (Munoz) Periods 6
RIVERSIDE COURSES: (McMillan) Periods 6
DESCRIPTION: Honors Statistics introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students will be involved in collecting information, communicating that information, solving problems and justifying the results. This course will offer a more extensive, technical and in-depth study of the topics covered in our current Statistics course. Topics will include: a) exploring data and finding patterns, b) data collection techniques, c) probability and sampling distributions, and d) statistical inference. Students may choose to take the Advanced Placement Exam in Statistics at the end of the course.

COURSE: CALCULUS HONORS
COURSE NUMBER: 2071
A-G: 10 credits Mathematics (C), 5.9 GRADING SCALE
PREREQUISITE: Math III
HOUSE: Academic
CONSERVATORY: None
HESPERIA COURSES: (Munoz) Periods 9
RIVERSIDE COURSES: (McMillan) Periods 9
DESCRIPTION: Calculus honors is a one year course designed to meet the California State Standards for calculus.  The topics covered are:  limits, derivatives, definite & indefinite integrals, and applications of these topics.  Subtopics include products, quotients, the calculus of logarithmic functions, growth and decay, plane and solid figures, algebraic calculus techniques, and the calculus of motion.  These topics will be explored graphically, numerically, algebraically and verbally.  In addition to these topics, this course will equip students with the ability to understand and apply the formal definition and the graphical interpretation of calculus topics.  It will provide students with an understanding of how calculus can be applied to everyday situations in business, economics, environmental science, health care, life science, social science, sports, technology, and physical science.  Finally, it will introduce students to a field of study that they might pursue further on the university level.

Our version of calculus honors is based heavily on AP Calculus so that, even though the course is not considered AP, students who wish to take the exam can do so.  It is comparable to a college level Calculus I class.