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Mathematics

  • Mathematics
*Math Progression

Students have many options to progress at their developmental skill level. 9th grade students are assessed within the first 30 days of the school year to ensure correct placement.  

More details available at:

Mathematics Pathways Information Packet for 2024-2025

Courses are listed in alphabetical order.

PHS Math Pathways Chart
  • Progression Chart
  • Mathematics
AP Calculus AB (5660)

Prerequisite:  Completion of Math Analysis or equivalent course with a grade of B or higher in the second semester.

(UC approved “c”)

Calculus AB is an Advanced Placement course, equivalent to a first semester college calculus course, which prepares students for technical and scientific studies as well as other areas of study that require advanced math.  Students will develop both a mechanical and conceptual understanding of a variety of topics, which involve differential and integral calculus and apply concepts to real-world situations.  Students prepare for the AP Calculus AB exam in Spring.  Students who sign up for AP Calc AB will be required to complete a summer review assignment prior to the course.

  • AP
  • Elective
  • Year-long
  • Mathematics
AP Calculus BC (5661)

Prerequisite:  Completion of  Honors Math Analysis or equivalent course with a grade of A- or higher in the second semester or Math Analysis with a grade of A or higher in the second semester.

(UC approved “c”)

Calculus BC is an Advanced Placement course, equivalent to a full year college calculus course, which prepares students for technical and scientific studies, as well as other areas of study that require advanced math.  Students will develop both a mechanical and conceptual understanding of a variety of topics, which involve differential and integral calculus and apply concepts to real-world situations.  Students prepare for the AP Calculus BC exam in Spring.   The pace of this course is quite brisk, and student work outside class will be extensive (4-8 hours per week).  Students who take AP Calculus BC should be confident in their math skills, excited for a challenge, and be able to complete work independently.  Students should also weigh their other time commitments for the school year in deciding if this course is right for them.  Students who sign up for AP Calc BC will be required to complete a summer assignment prior to the course.

  • AP
  • Elective
  • Year-long
  • Mathematics
Honors Math Analysis (5650)

Prerequisite:  Completion of IM 2B/3 or IM3 (or equivalent) with a  grade of A.

(UC approved “c”)

This course offers a more extensive, technical and in-depth study of the topics covered in the standard Math Analysis course.  It is intended for students who are extremely competent in mathematics and interested in pursuing a career in math or science.  Problem sets are challenging and require students to prove relationships and clearly explain their reasoning.  Comprehensive exams will be given on a regular basis.  Each semester, there will be a comprehensive final exam. 

  • Honors
  • Year-long
  • Mathematics
Honors Statistics (5667)

Prerequisite:  Completion of Math Analysis (or equivalent) with a grade of B or higher.

(UC approved “c”)

This course offers a more extensive, technical and in-depth study of the topics covered in the standard Statistics course.  It will prepare students to take the AP Statistics exam in the Spring.  It is intended for students who are extremely competent in mathematics and comfortable reasoning with quantity in various contexts.  Students should also be willing and able to learn statistical concepts and processes presented in the course readings.  Comprehensive exams will be given on a regular basis.  Each semester, there will be a comprehensive final exam.

  • Honors
  • Year-long
  • Mathematics
Integrated Math 1/2A (5626)

Prerequisite:  Math 8 or equivalent course with a grade of A- or higher. Please consult with your Middle school instructor.

(UC approved “c”)

IM1/2A is a fast-paced integrated math course that requires a great deal of independent work and a very strong understanding of prior mathematical content.  It is the first course in the accelerated three-year high school math progression (IM1/2A - IM2B/3 - Math Analysis).   As an integrated math course, the content of IM1/2A features both algebraic and geometric approaches to solving problems.   Key concepts include functions (linear, exponential, and quadratic), geometric transformations and congruence, geometric constructions, linear systems of equations, angle relationships, attributes of polygons, triangle congruence, similarity, right triangle relationships, and trigonometry.

This class covers the material in the Model Mathematics I course as well as portions of the Model Mathematics II course of the Integrated Pathway in the Common Core State Standards for Mathematics for California Public Schools.   The Standards for Mathematical Practice will also be woven throughout lessons, student practice assignments, and assessments.

  • Year-long
  • Mathematics
Integrated Math 1 (5625)

Prerequisite: Completion of Math 8 or equivalent course.

(UC approved “c”)

IM1 is a standard-paced integrated math course.   It is the first in the standard four-year high school math progression (IM1 - IM2 - IM3 - Math Analysis).  As an integrated math course, the content of IM1 features both algebraic and geometric approaches to solving problems.   Key concepts include functions (linear and exponential), geometric transformations and congruence, geometric constructions, linear systems of equations, linear inequalities, and triangle congruence.

This class covers the material in the Model Mathematics I course of the Integrated Pathway in the Common Core State Standards for Mathematics for California Public Schools.   The Standards for Mathematical Practice will also be woven throughout lessons, student practice assignments, and assessments.

  • Year-long
  • Mathematics
Integrated Math 2 (5628)

Prerequisite:  Completion of IM1 or equivalent course with a grade of C or higher.

(UC approved “c”)    

IM2 is a standard-paced integrated math course.   It is the second in the standard four-year high school math progression (IM1 - IM2 - IM3 - Math Analysis).   As an integrated math course, the content of IM2 features both algebraic and geometric approaches to solving problems,   Key concepts include functions (quadratic), nonlinear systems of equations, complex numbers, area, volume, surface area, permutations, combinations, and geometric proofs.

This class covers the material in the Model Mathematics II course of the Integrated Pathway in the Common Core State Standards for Mathematics for California Public Schools.   The Standards for Mathematical Practice will also be woven throughout lessons, student practice assignments, and assessments.

  • Year-long
  • Mathematics
Integrated Math 2B/3 (5267)

Prerequisite:  Completion of IM1/2A or equivalent course with a grade of B or higher or completion of the Challenge Exam with a score of 90 or higher.

(UC approved “c”)    

IM2B/3 is a fast-paced integrated math course that requires a great deal of independent work and a very strong understanding of prior mathematical content.  It is the second course in the accelerated three-year high school math progression (IM1/2A - IM2B/3 - Math Analysis).   As an integrated math course, the content of IM2B/3 features both algebraic and geometric approaches to solving problems.  Key concepts include circles, proof, properties of circles (geometric and algebraic), area, volume, surface area, nonlinear systems of equations, transforming families of graphs, inverse functions, logarithms, trigonometry, polynomial functions, rational equations, systems of equations in three variables, and complex numbers.  

This class covers portions of the material in the Model Mathematics II course as well as the material of the Model Mathematics III course of the Integrated Pathway in the Common Core State Standards for Mathematics for California Public Schools.   The Standards for Mathematical Practice will also be woven throughout lessons, student practice assignments, and assessments.

  • Year-long
  • Mathematics
Integrated Math 3 (5631)

Prerequisite:  Completion of IM2 or equivalent course with a grade of C or higher.

(UC approved “c”)

IM3 is a standard-paced integrated math course.   It is the third course in the standard four-year high school math progression (IM1 - IM2 - IM3 - Math Analysis).   As an integrated math course, the content of IM3 features both algebraic and geometric approaches to solving problems.  Key concepts include nonlinear systems of equations, transforming families of graphs, inverse functions, logarithms, trigonometry, polynomial functions, rational equations, systems of equations in three variables, and complex numbers.  

This class covers the material in the Model Mathematics III course of the Integrated Pathway in the Common Core State Standards for Mathematics for California Public Schools.   The Standards for Mathematical Practice will also be woven throughout lessons, student practice assignments, and assessments.

  • Year-long
  • Mathematics
Math Analysis (5649)

Prerequisite:  Completion of IM 2B/3 or IM3 (or equivalent) with a grade of C or higher.

(UC approved “c”)

This is a college preparatory course for students planning to take more advanced math and science courses.  It includes all mathematical skills and concepts needed to prepare students for college-level calculus.  Students will demonstrate their math competencies algebraically, numerically, graphically and verbally.   Specific topics include a review of functions (polynomial, exponential, logarithmic and rational) and their applications, trigonometric equations and applications, polar forms, conic sections, matrices, and limits of series.  The Standards for Mathematical Practice will be woven throughout lessons, problem sets and assessments.  Assessments will include unit exams and mid-unit quizzes

  • Year-long
  • Mathematics
Statistics (5666)

Prerequisite:  Completion of IM 2B/3 or IM3 or equivalent with a grade of C or higher.

(UC approved “c”)

Statistics acquaints students with major concepts and tools for collecting, analyzing, and drawing conclusions from data.   Students frequently work on assignments involving hands-on gathering and analysis of real-world data.   Ideas and computations presented in this course have immediate links and connections with actual events.   Students often use calculators and computers to present and analyze data.

  • Year-long

Faculty

Emily Boyes
Teacher
 
Sam Colburn
Teacher
 
John Hayden
Teacher, Department Chair
 
Diana Miller
Teacher
 

Doyle O'Regan
Teacher

 
Thomas Palsa
Teacher
 
Camille Porreca
Teacher
 
Auban Willats
Teacher
 
PHS Mathematics Calculus Teacher