Pioneer High

9th -12th Grade Courses

 Integrated Math I

Year (10 credits)

Prerequisite: Complete Grade 8 math with a passing score or higher 

Students in Secondary Mathematics I will deepen and extend understanding of linear relationships, in part by contrasting them with exponential phenomenon, 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.

 

Strategic Math I 

Semester (5 credits elective)

Prerequisite: Students placed in strategic is determined through the established multiple measure placement criteria to be determined and outlined by the action teams in 2014/2015 school year.

 

Strategic Math 1 is an integrated support class designed to support student performance in Math 1. All work completed in Strategic Math 1 complements the Math 1 curriculum. In Strategic Math 1 there will be an emphasis on teaching students to develop process tools that they can implement successfully in the core Math 1 course.

 

Integrated Math II 

Year (10 credits)

 Prerequisite: Grade 8 Math or Integrated Math I with a passing grade of C- or above Students in Secondary Integrate Math II will focus on quadriatic 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 quadriatic algebraic representations.

 

Integrated Math III 

Year (10 credits) 

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

 

10th – 12th Grade Courses

 

Introduction To Probability and Statistics

Year (10 credits) UC / CSU (c)

Prerequisite: Successful completion of Algebra 2 with a grade of “C” or better both semesters.

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-today lives.

 

 Integrated Math III with Financial  Applications

 (Pending Board Approval) 

Year (10 credits) UC/CSU (c)

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. 

 

11th -12th Grade Courses

 Pre Calculus 

Year (10 credits)

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

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. 

 

 Calculus A/B AP 

Year (10 credits) UC/CSU (c)

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

Note: Honors/AP application is required.

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 

Year (10 credits)

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

Note: Honors/AP application is required.

Calculus BC is a college level course covering derivatives, integrals, limits, approximation, applications and modeling, and sequences and series. The course emphasizes a multirepresentational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically and verbally. Students will understand the relationship between derivates 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.

 

 12th Grade Courses

Applications of Mathematics 

Year (10 credits)

Prerequisite: Passage of Algebra 1 and Senior status.

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.