__6125 Pre-Algebra__Number of semesters: 1 (5 credits)

Prerequisite: 6th & 7th grade Math

*Meets requirements: 1 , 9*

Pre-Algebra is a course designed to offer students the ability to be Algebra 1 ready by mastering middle school standards that are necessary to understand the Algebra 1 material.

__6226 Algebraic Concepts__Number of semesters: 2 (10 credits)

*Meets requirements: 1,9*

This course is designed as an introductory algebra course. Topics taught might include but not be limited to signed numbers writing and solving simple algebraic equations learning algebraic terminology and application of algebraic concepts.

*At PHS, this course will help students needing extra support between Algebra 1 and Algebra 2

__6234MYP MYP Algebra 1__Number of semesters: 2 (10 credits)

Prerequisite: Connected Math 3

*Meets requirements: 1,9*

Basic concepts and properties of algebra are introduced early to prepare students for equation solving. Concepts and skills are introduced algebraically graphically numerically and verbally. As a result the student should be able to communicate mathematically make connections within algebra and between algebra and other disciplines. To address district standards this course will interweave mathematical topics of algebra geometry statistics probability and measurement.

__6244 MYP Geometry__Number of semesters: 2 (10 credits)

Prerequisite: Algebra 1, Connected Algebra 1

*Meets requirements: 1, 9*

Geometry concepts and logical reasoning are emphasized, while measurement and applications are integrated to motivate students via real-world connections. As a result, students will be able to communicate mathematically, make connections within geometry, and between geometry and other disciplines. To address district and state standards, this course interweaves mathematical topics of algebra, geometry, statistics, probability, number systems, and measurement. Geometry explores reasoning and proof, parallel and perpendicular lines, triangle congruency and relationships, right triangle relationships and trigonometry, quadrilaterals, similarity, area, volume, circles, and transformations. Upon successful completion, students will progress to Algebra 2.

__2288 Geometry In Construction__Number of semesters: 2 (10 credits)

Prerequisite: Algebra 1, students must be co-enrolled in MYP Geometry

*Meets Requirements: 1 (Elective Credit Only)*

Geometry in construction is an integrated class that teaches all the concepts and standards of a normal geometry class in addition to the design, planning, and construction skills of a construction systems class. This is done by building a house for a family in need, on the school site, while learning the math necessary to complete the project. This contextualized learning enables students to immediately apply the learning they have from the classroom in an authentic, humanitarian project that both motivates and challenges all students to apply their learning every day. The geometry curriculum that will be used will cover the same topics that a normal geometry class would cover, but in a slightly different order so that each topic occurs at a point in time that coincides with the construction work that is going on for the house. This creates a pragmatic need, each day, for the learning at hand which motivates students in both arenas. Throughout the duration of the course, students will be engaged in smaller projects that scaffold their understanding of math, construction, and the community at large. These smaller projects will focus on highlighting communication skills, team work skills, community involvement, and excellence in building and mathematical problem solving.

__6254 Algebra 2__Number of semesters: 2 (10 credits)

Prerequisite: Algebra 1

*Meets requirements: 1,9*

This course is a further exploration of the algebra of the real number system with an extension to the complex system, as well as continued development of problem-solving skills. As a result, students will be able to communicate mathematically, make connections within algebra, and between algebra and other disciplines. This course interweaves mathematical topics of algebra, geometry, statistics, probability, number systems, and measurement. Algebra 2 explores functional relationships, linear systems of equations, matrices, quadratic functions, polynomial functions, radical functions, exponential and logarithmic functions, rational functions, probability and statistics, sequences and series, and trigonometry. Upon successful completion, students can progress to either Pre-Calculus or AP Statistics or College Algebra.

__6254 MYP Algebra 2__Number of semesters: 2 (10 credits)

Prerequisite: Algebra 1

*Meets requirements: 1,9*

This course is a further exploration of the algebra of the real number system with an extension to the complex system, as well as continued development of problem-solving skills. As a result, students will be able to communicate mathematically, make connections within algebra, and between algebra and other disciplines. This course interweaves mathematical topics of algebra, geometry, statistics, probability, number systems, and measurement. Algebra 2 explores functional relationships, linear systems of equations, matrices, quadratic functions, polynomial functions, radical functions, exponential and logarithmic functions, rational functions, probability and statistics, sequences and series, and trigonometry. Upon successful completion, students can progress to either Pre-Calculus or AP Statistics or College Algebra.

**Students participating in the IB / Pre-DP pathway can expect: increased opportunities to practice critical and reflective thinking; to participate in long-term projects; to have an increased emphasis on above grade-level reading and writing; and to be prepared for IB Diploma and/or AP courses.

__6246 Discrete Mathematics__Number of semesters: 1 (5 credits)

Prerequisite: Geometry

*Meets requirements: 1,9*

Discrete Mathematics explores countable systems to make conclusions, decisions, or predictions. In contrast to continuous mathematics (calculus), discrete mathematics concentrates on the study of distinct objects and finite systems. Topics explored in Discrete Mathematics fall into four main categories; counting techniques, graph theory, iteration and recursion, and algorithmic problem solving and decision making.

**At PHS, course is back to back with Data Analysis & Probability to complete a full year of mathematics.

__6146 Data Analysis & Probability__Number of semesters: 1 (5 credits)

Prerequisite: Geometry

*Meets requirements: 1,9*

Data Analysis & Probability is a semester long course centered around state standards related to statistics and probability. The course is designed for students with an interest in this area that are not planning on taking the AP Statistics course. Data Analysis & Probability explores data by describing patterns and departures from patterns; sampling and experimentation by planning and conducting a study; probability by analyzing random phenomena using probability and simulation; and statistical inference by estimating population parameters and testing hypotheses.

__6275 College Algebra__

__6275S1CEFR College Algebra__Number of semesters: 2 (10 credits)

Prerequisite: Algebra 2

*Meets requirements: 1,9*

**(Potential Concurrent Enrollment Offered)**College Algebra is designed to allow deeper analysis and extension of Algebra topics. College Algebra is the first half of a post-Algebra 2 class that begins to bridge students to Calculus topics. Students are encouraged to represent problems algebraically, pictorially, verbally, and graphically. Critical thinking problems are provided to stretch their reasoning and communication skills. College Algebra extends learning in simplifying expressions and solving equations; solving systems of equations and optimization problems; and modeling with functions (polynomial, rational, exponential, and logarithmic). Upon successful completion students can progress to College Trigonometry & Analytic Geometry.

__6276 College Trigonometry & Analytic Geometry__

__6276S1CEFR College Trig & Analytic Geo__

*(Potential Concurrent Enrollment Offered)*Number of semesters: 2 (10 credits)

Prerequisite: Algebra 2

*Meets requirements: 1,9*

College Trigonometry & Analytic Geometry is the second half of a post-Algebra 2 class to bridge students to Calculus topics. Students are encouraged to represent problems algebraically, pictorially, verbally, and graphically. Critical thinking problems are provided to stretch their reasoning and communication skills. College Trigonometry & Analytic Geometry explores numerical and analytical trigonometry; application of trigonometric functions; vectors; polar coordinates; analytic geometry; sequences and series; and mathematical induction. Upon successful completion, students can progress to Calculus I.

__6280 Pre-Calculus__

__6280S1CEFR Pre-Calculus__

*(Potential Concurrent Enrollment Offered)*Number of semesters: 2 (10 credits)

Prerequisite: Algebra 2, Instructor Approval

*Meets requirements: 1,9*

Pre-Calculus is the post-Algebra 2 class to bridge students to Calculus topics. Students are encouraged to represent problems algebraically, pictorially, verbally, and graphically. Critical thinking problems are provided to stretch their reasoning and communication skills. Pre-Calculus explores advanced algebra topics such as polynomial, rational, exponential, and logarithmic functions; numerical and analytical trigonometry; vectors; polar coordinates; analytic geometry; sequences and series; and mathematical induction.

__6410 MYP Pre-Calculus__Number of semesters: 2 (10 credits)

Prerequisite: Algebra 2, Instructor Approval

*Meets requirements: 1,9*

Pre-Calculus is the post-Algebra 2 class to bridge students to Calculus topics. Students are encouraged to represent problems algebraically, pictorially, verbally, and graphically. Critical thinking problems are provided to stretch their reasoning and communication skills. Pre-Calculus explores advanced algebra topics such as polynomial, rational, exponential, and logarithmic functions; numerical and analytical trigonometry; vectors; polar coordinates; analytic geometry; sequences and series; and mathematical induction.

**Students participating in the IB / Pre-DP pathway can expect: increased opportunities to practice critical and reflective thinking; to participate in long-term projects; to have an increased emphasis on above grade-level reading and writing; and to be prepared for IB Diploma and/or AP courses.

__6295 AP Statistics__Number of semesters: 2 (10 credits)

Prerequisite: Algebra 2

*Meets requirements: 1,9*

AP Statistics is a yearlong mathematics course centered around four main topics: exploring data; planning a study; probability as it relates to distributions of data; and inferential reasoning. Students will be expected to propose and carry out a statistical study. This course is designed to help prepare students for the Advanced Placement exam.

**At PHS, All four topics are intended to help students learn to make decisions based on careful consideration of data.

__6290 AP Calculus AB__

__6290S1CEFR AP Calculus AB__

*(Potential Concurrent Enrollment Offered)*Number of semesters: 2 (10 credits)

Prerequisite: Pre-Calculus

*Meets requirements: 1,9*

Calculus is a study of all topics traditionally offered in a freshman college calculus course. Topics covered are limits, derivatives of algebraic functions, applications of the derivatives, applications of the definite integral, transcendental functions, and methods of integration. This course will help prepare the student to take the AP-AB Calculus test.

__6291 AP Calculus BC__

__6291S1CEFR AP Calculus BC__

*(Potential Concurrent Enrollment Offered)*Number of semesters: 2 (10 credits)

Prerequisite: Pre-Calculus

*Meets requirements: 1,9*

Calculus is a study of topics traditionally offered in a freshman college calculus course. Topics covered are limits, derivatives of algebraic functions, applications of the derivatives, applications of the definite integral, transcendental functions, and methods of integration, in function, parametric, vector and polar modes. This course will help prepare the student to take the AP-BC Calculus test.

**At PHS, course includes all topics covered in Calculus AB plus additional topics. Includes analysis of parametric, polar, and vector functions, numerical solutions to differential equations, L’hopital’s rule, applications of integrals, advanced integration techniques, improper integrals, logistic differential equations, polynomial approximations, and analysis of sequences and series.

__6297CEFRCC FRCC Calculus III__

*(Potential Concurrent Enrollment Offered)*Number of semesters: 2 (10 credits)

Contact hours: 60 hours

Prerequisite: MAT 099 with grade of “C” or better or MAT 204 with a grade of “C” or better.

*Meets requirements: 1,9*

MAT 203 Calculus III: Completes the traditional subject matter of Calculus. Topics include vectors, vector-valued functions and multivariable calculus including partial derivatives, multiple integrals, line integrals and application. This course is guaranteed to transfer to all public colleges and universities in Colorado.