Mathematics

Mathematics Department

CUSD GRADUATION REQUIREMENT

Mathematics……20.0 credits (9th-11th grades)

Algebra 1 or Integrated Math 1 .............10.0 credits

 

 

MATHEMATICS ACADEMIC PLANNING GUIDE

 

8th

9th

10th

11th

12th

 

High School Diploma,

Community College,

Certif. Programs

and AA degree

 

 

Math B

 

 

 

Math C

 

 

Integrated

Math 1

 

 

Integrated

Math 2

or Integrated Math Essentials

 

 

4th year of math recommended

 

CSU & Community

College transfer to

4-year university

 

Math C

 

 

Integrated

Math 1

 

 

Integrated

Math 2

 

 

Integrated

Math 3

 

 

4th year of math

strongly recommended

 

University

of

California

 

 

Math C

or

Integrated

Math 1

 

 

Integrated

Math 1

or

Integrated

Math 2

 

 

Integrated

Math 2

or

Integrated

Math 3

 

 

Integrated

Math 3

or

Trigonometry

 

 

Trigonometry

 

or

AP/IB Calculus

or

AP Statistics

 

 Mathematics Course Descriptions

 

COURSE TITLE

COURSE DESCRIPTION

TERM

GRADE

A-G REQ

CREDITS

MATH C

This course is designed to prepare students for Integrated Math 1. It will develop a stronger foundation in basic computational skills and include the following topics: analyzing patterns and data, proportional relationships, combining like terms, solving equations, distributive property, graphing linear equations, fractional equations, systems of equations, transformations and similarity, scatter plots, linear and exponential growth, laws of exponents, angles, Pythagorean Theorem, surface area and volume. Some of these topics may have been covered in previous 7th and 8th grade math courses. A student-owned scientific calculator will be beneficial for this course.

Year

9

 

Math credit

MATH LAB

This course is taken concurrently with Integrated Math 1 and is designed for students that need extra support to successfully complete Integrated Math 1, which is required to earn a high school diploma. Math lab will help students develop a stronger foundation in basic computational skills from Math C and Integrated Math 1 while developing prerequisite skills necessary for Integrated Math 2. Other areas of focus are algebraic concepts, critical thinking, and study skills. The math lab teacher and mentors will provide one-on-one tutoring and small group work. Students may enroll in this class based on teacher recommendation, screening assessment, and parent/student request.

Year

9

 

Elective credit

INTEGRATED MATH 1-P

 

Prerequisite: Math C with a grade of “C” or better or teacher recommendation

This course explores functions, exponents, slope & rate of change, writing and graphing linear equations, dimensional analysis, transformations, multiplying polynomials, solving complex equations that include fractions and exponents, modeling two-variable data, exponential growth and decay, solving systems of equations with substitution and elimination, congruence and coordinate geometry, inequalities, data representations, and constructions. Student-owned scientific calculators (or graphing calculators) are strongly encouraged for this course.

Year

9-12

‘C’

UC/CSU

Math credit

INTEGRATED MATH ESSENTIALS

 

Prerequisite: Integrated Math 1 and teacher recommendation

This “bridge” course will provide additional reinforcement of foundational concepts covered in Integrated Math 1 while frontloading essential concepts from Integrated Math 2. For some students, this course will provide a necessary transition between Integrated Math 1 and Integrated Math 2 so that students can successfully complete the core sequence of high school math. Student-owned scientific calculators (or graphing calculators) are strongly encouraged for this course.

Year

10-12

 

Math credit

INTEGRATED MATH 2-P

 

Prerequisite: Integrated Math 1 with a grade of "C" or better or teacher recommendation

 

 

This course includes quadratics and other functions, factoring, similarity, trig ratios and inverse trigonometry, probability, relationships of right triangles and special ratios, zero product property, completing the square, quadrilaterals, angles and areas of polygons, circles, volume, surface area, imaginary numbers, and inequalities. Student-owned scientific calculators (or graphing calculators) are strongly encouraged in this course.

Year

9-12

‘C’

UC/CSU

Math credit

INTEGRATED MATH 3-P

 

Prerequisite: Integrated Math 2 with a grade of "C" or better or teacher recommendation

This course covers solving equations, investigations of functions, linear and quadratic math models, transformations of graphs, complex numbers, completing the square, solving one-variable and two-variable inequalities, and geometric modeling. Additional topics are inverses, exponential and logarithmic functions, series, operations of rational expressions, three-variable systems, trigonometry with triangles and the unit circle. Probability and statistics includes permutations, combinations, sampling variability, and various data distributions. Student-owned graphing calculators are strongly encouraged for this course.

Year

9-12

‘C’

UC/CSU

Math credit

TRIGONOMETRY/

PRE-CALCULUS-P

 

Prerequisite: Int Math 3 with a grade of "C" or better or teacher recommendation

This course covers trigonometry and its applications, analytical geometry, advanced functions, and data analysis. This class will prepare students for calculus. Student-owned graphing calculators are strongly encouraged for this course.

Year

10-12

‘C’ or ‘G’

UC/CSU

Math credit

HONORS/TRIGONOMETRY/PRE-CALCULUS-P

 

Prerequisite: Integrated Math 3 with a grade of "A" or teacher recommendation

 

This course explores trigonometric functions, graphs, equations, identities, as well as matrices, vectors, advanced functions, combinatory, probability, statistics, and data analysis. It is designed to prepare students to take the AP Calculus course and it also satisfies part of the requirement for the IB Standard Level Math course. Student-owned graphing calculators are strongly encouraged for this course.

Year

10-12

‘C’ or ‘G’

UC/CSU

 

UC

Approved for honors credit

Math credit

IB STANDARD LEVEL MATH-P

 

Prerequisite: Honors Trigonometry/Pre-Calculus with a grade of “C” or better

This course will emphasize the following six areas from the IB Math SL curriculum: algebra, functions and notations, circular functions and trigonometry, vectors, statistics and probability, and calculus. An extended math exploration (portfolio project) will also be assigned that will include research time. The math exploration satisfies the written component required for the internal assessment required by IB. Students that take this course will be prepared for the IB exam required for full diploma candidates in the spring semester. This course is also a college prep class for students that wish to pursue a rigorous math class instead of taking an AP (Advanced Placement) math class.

Year

12

‘C’ or ‘G’

UC/CSU

Math credit

AP CALCULUS AB-P

 

Prerequisite: Trigonometry/Pre-Calculus with a grade of "B" or better or teacher recommendation

Equivalent to first semester college Calculus, this course is designed to prepare students to take the Advanced Placement Calculus AB Exam. Topics include limits, derivatives, applications of derivatives, integrals, and applications of integrals. It requires a solid background in Algebra II. Student-owned graphing calculators are strongly encouraged for this course.

Year

11-12

‘C’ or ‘G’

UC/CSU

 

UC

Approved for honors credit

Math credit

AP STATISTICS-P

 

Prerequisite: Integrated Math 3 with a grade of "B" or better or teacher recommendation

This course may be taken concurrently with Trig/PreCalc or Honor’s Trig or AP Calculus. The purpose of this course is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: 1) exploring data; 2) planning a study; 3) anticipating patterns in advance; and 4) statistical inference. Students who successfully complete the course and examination may receive credit and/or advanced placement for a one-semester introductory college statistics course. Our course would take place over a full year, similar to the AP Calculus course currently in place.

Year

10-12

‘C’ or ‘G’

UC/CSU

 

UC

Approved for honors credit

 

Math credit

ADVANCED MATH CONCEPTS – P

 

Integrated Math 3 with a grade of a “C” or better or teacher recommendation

 

 

This is a rigorous, college preparatory math course that covers topics from a variety of fields. This course is designed to show some of the essence and quality of mathematics, and to enhance precision in evaluation and expression of ideas, thereby developing a student’s quantitative reasoning skills. Students in this course are expected to have a firm grasp of concepts though Integrated Math 3 (Algebra 2), and be prepared to both build upon previous concepts as well as explore a variety of new topics. Students will formulate ideas, set goals and demonstrate application through group work, presentations, individual assessments, homework and special projects. Topics include sets, logic, number systems, advanced algebra, geometry and measurement, growth and decay, graphs, functions, probability and statistics.

Year

10-12

‘C’ or ‘G’

UC/CSU

Math credit