Pioneer High

ALGEBRA M

Course Code: SQ210Y

Location of program based on Regional Program location

Program

Special Day Class ASD

Course Description: This course is designed for students with IEPs. Students will be taught with a variety of learning strategies to accommodate their diverse needs.  This course focus on on algebraic expressions, exponents, polynomials, solving equations, geometric congruence proof and construction methods, finding volumes, areas, descriptive statistics, connecting algebra and geometry through transformations, reasoning and proof as well as real life applications. 

FUNCTIONAL MATH M

Course Code: SQ270Y

Location of program based on Regional Program location

Program

Special Day Class Severely Handicapped (SH)

Course Description: This course focuses on very fundamental math recognition skills for students still working on basic concepts necessary for daily and potentially independent living skills. Number recognition, basic counting, beginning number sense, money recognition and counting, making change and use of a calculator are emphasized. In this class significant modifications are being made to the standards for students requiring this level of academics.

PRE GEOMETRY M

Course Code: SQ220T

Location of program based on Regional Program location

Program

Special Day Class ASD

Course Description: This course is designed for students with IEPs. Students will be taught with a variety of learning strategies to accommodate their diverse needs.  This course involves the integration of logical reasoning and spatial visualization skills. It includes a study of deductive proofs and applications from Algebra, a study of polygons, and an introduction to Trigonometry. Students will be required to

“think visually” while transferring information to real life problems.

INTEGRATED MATH I

Course Code: SC113Y

Grade: 9

⬛PHS   ⬛ WHS 

Course Description: Students in Integrated Math I will deepen and extend understanding of linear relationships, in part by contrasting them with exponential phenomena, and in part by applying linear models to data that exhibit a linear trend. Students will use properties and theorems involving congruent figures to deepen and extend understanding of geometric knowledge. Algebraic and geometric ideas are tied together. Students will experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

INTEGRATED MATH II

Course Code: SC133Y

Grade: 10

⬛PHS   ⬛ WHS 

Prerequisite: Grade 8 Math I or Integrated Math I with a passing grade of C- or above

Course Description: Students in Integrated Math II will focus on quadratic expressions, equations, and functions, extend the set of rational numbers to the set of complex numbers, link probability and data through conditional probability and counting methods, study similarity and right triangle trigonometry, and study circles with their quadratic algebraic representations.

INTEGRATED MATH II ADVANCED

Course Code: SC135Y

Grade: 10

⬛PHS   ⬛ WHS 

Prerequisite: Grade 8 Math I or Integrated Math I with a passing grade of C- or above

Course Description: Students in Integrated Math II will focus on quadratic expressions, equations, and functions, extend the set of rational numbers to the set of complex numbers, link probability and data through conditional probability and counting methods, study similarity and right triangle trigonometry, and study circles with their quadratic algebraic representations.

INTEGRATED MATH III

Course Code: SC142Y

Grade: 11

⬛PHS   ⬛ WHS 

Prerequisite: Pass Integrated Math II with a passing grade of a C- or above

Course Description: Students in Integrated Math III will integrate and apply the mathematics they have learned from their earlier courses.  They will apply methods from probability and statistics to draw inferences and conclusions from data, expand their repertoire of functions to include polynomial, rational, and radical functions, expand their study of trigonometry to include general triangles, and use functions and geometry to create models and solve contextual problems.

INTEGRATED MATH III ADVANCED

Course Code: SC145Y

Grade: 11

⬛PHS   ⬛ WHS 

Prerequisite: Pass Integrated Math II with a passing grade of a C- or above

Course Description: Students in Integrated Math III Advanced will integrate and apply the mathematics they have learned from their earlier courses.  They will apply methods from probability and statistics to draw inferences and conclusions from data, expand their repertoire of functions to include polynomial, rational, and radical functions, expand their study of trigonometry to include general triangles, and use functions and geometry to create models and solve contextual problems.

INTRODUCTION TO ROBOTICS ENGINEERING

Course Code: SP640Y

Grade: 10-12

⬛ PHS   ⬜ WHS

Prerequisite: “C” or better in Integrated Math I

Course Description: This is an introductory course designed to give students an overview of many aspects of engineering as applied to robotics applications. The emphasis of this course is to provide students with a fun, hands-on experience where they will work in small teams to design, build and program their own robot. Teams will be given several design challenges and, ultimately, participate in a competition to test the worthiness of their design. During the design and fabrication process, students will test and evaluate their robot, all the while learning important life skills and engineering concepts. Topics will include workspace safety, teamwork and organization, engineering process, mechanical design, electronics, programming, pneumatics, media, and competition strategy.

CALCULUS

Course Code: SC192Y

Grade: 11-12

⬛ PHS   ⬜ WHS  

Prerequisite: A passing grade in Pre-Calculus and/or Integrated Math III.

Course Description: Calculus is a course offered to students who wish to learn Calculus in a problem-solving and artistic nature.  Students will first strengthen their skills in trigonometry, logarithmic equations, and advanced algebra.  Students will extend their experience with functions as they study the fundamental concepts of calculus: limiting behaviors, difference quotients and the derivative, Riemann Sums and the definite integral, antiderivatives and indefinite integrals, and the Fundamental Theorem of Calculus.  In order to study the derivative, students will complete a major project including mathematical proofs of the derivative, the power rule, the product and quotient rule, and the six major trigonometric derivatives.  Students will also be introduced to the topic of integrals through a major project on various Riemann Sums used to calculate the area under a curve.  Important objectives of the calculus sequence are to develop and strengthen the students’ problem-solving skills and to teach them to read, write, speak, and think in the language of mathematics.  In particular, students learn how to apply the tools of calculus to a variety of problem situations.

CALCULUS A/B AP

Course Code: SC190Y

Grade: 11-12

⬛ PHS   ⬛ WHS    

Prerequisite: A grade of “C” or better in Pre-Calculus or Pre-Calculus Honors.

Course Description: Calculus AB develops a student’s understanding of the concepts of calculus. This course emphasizes a multi-representational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically and verbally. Students will understand the relationship between derivatives and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus. Students will evaluate derivatives and integrals and use these skills to solve a variety of problems. Students will need a graphing calculator for this course. Students enrolled in this course are encouraged to take the AP examination in the spring.

CALCULUS B/C AP

Course Code: SC191Y

Grade: 11-12

⬛ PHS   ⬜ WHS    

Prerequisite: A grade of “C” or better in Calculus A/B.  

Course Description: Calculus BC is a college level course covering derivatives, integrals, limits, approximation, applications and modeling, and sequences and series. The course emphasizes a multi-representational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically and verbally. Students will understand the relationship between derivatives and the definite integrals expressed in both parts of the Fundamental Theorem of Calculus. Students will evaluate derivatives and integrals and use these skills to solve a variety of problems. Students will need a graphing calculator for this course. Students enrolled in this course are encouraged to take the AP examination in the spring.

INTEGRATED MATH III WITH FINANCIAL APPLICATIONS

Course Code: SC143Y

Grade: 11-12

⬛ PHS   ⬛ WHS    

Prerequisite: Integrated Math II.

Course Description: This course offers 10th to 12th grade students an opportunity to view the world of finance through a mathematical lens. The topics were developed using the Common Core State Standards in Mathematics, the California Mathematics Standards, and the NCTM Curriculum and Evaluation Standards. The mathematical formulas, functions, and pictorial representations used assist students in making sense of the financial world around them and equip them with the ability to make sound financial decisions. The overarching purpose of the course is to develop the type of mathematically proficient students addressed in this excerpt from the Common Core State Standards for Mathematics.

PRE-CALCULUS HONORS

Course Code: SC161Y

Grade: 11-12

⬛ PHS  ⬜ WHS 

Prerequisite: A grade of “C” or better in Integrated Math III.           

Course Description: Pre-Calculus Honors will provide students with the mathematical background needed to be successful in calculus. This course will cover the material in the pre-calculus course faster and at a deeper level. Students will work with finite limits, one-sided limits, limits at infinity, infinite limits, continuity and numerical and graphical interpretations of limits. Students will explore the numerical and graphical interpretations of a derivative, the definition of a derivative, rules for differentiation and applications of derivatives. Students will need a graphing calculator for this course.

INTRODUCTION TO PROBABILITY AND STATISTICS

Course Code: SC150Y

Grade: 11-12

⬛ PHS   ⬛ WHS   

Prerequisite: A grade of “C” or better in Integrated Math III.

Course Description: Introduction to Probability and Statistics is an introduction to the study of probability, interpretation of data, and fundamental statistical problem solving. Students will organize and describe data by creating a variety of visual summaries and by calculating summary statistics. Students will learn to use the rules of probability to make predictions and better understand the likelihood of an event occurring. Students will become familiar with standard distributions of data: normal, binomial and exponential. Students will use hypothesis tests, measures of significance and confidence intervals to make conclusions about a population based on given sample statistics. Students need to have a scientific calculator for this course. This course will enable and encourage students to analyze and interpret probabilities and statistical information they may be presented with in their education and day-to-day lives.

PRE-CALCULUS

Course Code: SC160Y

Grade: 11-12

⬛ PHS   ⬛ WHS   

Prerequisite: A grade of “C” or better in Integrated Math III.

Course Description: Pre Calculus will provide students with the mathematical background needed to be successful in calculus. Students will review material from previous college preparatory mathematics courses. Students will work with vectors, trigonometric functions, graphs of trigonometric functions, polar coordinates, complex numbers, fundamental trigonometric relations, functions of two angles, solutions of triangles, circular and inverse trigonometric functions, logarithms, and the algebra of functions. Students who plan to major in engineering, math or the sciences are strongly recommended to take this course. Students will need a graphing calculator for this course.

APPLICATIONS OF MATHEMATICS

Course Code: SC170Y

Grade: 12

⬛ PHS   ⬛ WHS   

Prerequisite: Passage of Integrated Math I and a Senior status.

Course Description: Applications of Mathematics is an integrated math course that brings together real-life applications and mathematics. Intended to be a culminating math experience, lessons integrate number sense, number relationships, algebraic methods, statistics, probability, and geometry. Skills are applied in problem-solving situations.

MATH 1A - SINGLE VARIABLE CALCULUS I - Early Transcendentals

Course Code: SC193Y

Grade Level: 11-12

Credits:  13.33 - Dual Enrollment course 

⬛ PHS   ⬜ WHS     

College Credit Opportunity

Dual Enrollment Course 

UC/CSU: C

Prerequisite:  A passing grade in Pre-Calculus and/or Integrated Math III

Course Description: A first course in differential and integral calculus of a single variable: functions; limits and continuity; techniques and applications of differentiation and integration; Fundamental Theorem of Calculus. Primarily for Science, Technology, Engineering, and Mathematics Majors.