# Mathematics Courses

**Algebra Skills**

**Grade Level:** 9

**Credit:** 1.0, Full Year

**Credit Status:** Elective

**Prerequisite: **Placement by entrance exam

This course's focus is on improving basic mathematical skills and developing the study habits necessary to be successful in subsequent math courses. Emphasis will begin with computational skills, developing conceptual understanding and problem solving strategies. The intention for this course is to provide a working knowledge of basic algebra and boost mathematical confidence in general. Topics in Algebra Skills will include properties and operations with real numbers, solving equations and inequalities, simplifying exponents and polynomials, factoring and graphing linear equations, data analysis and statistical applications. This course differs from Algebra I in its pace and emphasis on fundamentals. Students may progress to Algebra 1 Essentials or Algebra 1, based on achievement and department recommendation. The Algebra Skills course counts as an elective credit only and does not count toward the math requirement for graduation.

**Algebra 1 E**

**Grade Level:** 9-10

**Credit:** 1.0, Full Year

**Prerequisite: **Placement by entrance exam or progression for Algebra Skills

Algebra 1 Essentials involves the fundamental ideas and skills of Algebra 1 with additional support built in, and emphasis on development at a personal level. Differentiation and accommodations may be employed so that learners can reach the required standards. Students may progress to Geometry E, Geometry, or Algebra 2 E.

**Algebra 1**

**Grade Level:** 9-10

**Credit:** 1.0, Full Year

**Prerequisite: **Placement by entrance exam

In addition to transition and manipulation skills, students are involved in the application of mathematical concepts, critical thinking, and logical reasoning. Applications in equations, inequalities, graphing, linear functions, polynomials, rational functions and exponential functions engage students in critical thought in selection of approach and development of strategy in problem solving. Students may progress to Geometry E, Geometry, or Honors Geometry, based on achievement and department recommendation.

**Geometry E**

**Grade Level:** 10-12

**Credit:** 1.0, Full Year

**Prerequisite: **Completion of Algebra 1 E or Algebra 1

Geometry Essentials involves the fundamental ideas and skills of Geometry with additional support built in, and emphasis on development at a personal level. Differentiation and accommodations may be employed so that learners can reach the required standards. Students may progress to Algebra 2 E or Algebra 2. This course may alternate with Algebra 2 E and be offered in every other year.

**Geometry **

**Grade Level:** 9-11

**Credit:** 1.0, Full Year

**Prerequisite: **Successful completion of Algebra 1

Focuses on formalizing logical reasoning skills through theorems and postulates. Students develop an understanding of the relationship between figures and will gain understanding of reading and writing proofs. Instruction reinforces and extends knowledge of Algebra, with development of real-world applications and an introduction to Trigonometry. Students may progress to Algebra 2 E, Algebra 2 or Honors Algebra 2/Trig (challenge test required).

**Honors Geometry **

**Grade Level:** 9-11

**Credit:** 1.0, Full Year

**Prerequisite: **Placement or high achievement in Algebra 1 with department recommendation

Explores two major branches of mathematics. First is the study of logic and reasoning of math. Students gradually develop an understanding of deductive reasoning and formal proof. Second is the study of the properties of plane figures and 3D objects. This course reinforces and extends the knowledge of algebra with attention given to real life applications involving shape and space. Students should expect a pace and level of rigor fitting for a Honors level course. Students may progress to Algebra 2 or Honors Algebra 2/Trigonometry.

**Algebra 2 E**

**Grade Level:** 10-12

**Credit:** 1.0, Full Year

**Prerequisite: **Successful completion of Algebra 1 and Geometry (or equivalent)

Algebra 2 Essentials involves the fundamental ideas and skills of Algebra 2 with additional support built in, and emphasis on development at a personal level. Differentiation and accommodations may be employed so that learners can reach the required standards. Students may progress to Geometry E if not already taken, Advanced Math Applications, Statistics or Pre-Calculus. This course may alternate with Geometry E and be offered in every other year. Seniors graduating after successful completion of this class would be expected to be ready for an entry level college mathematics course.

**Algebra 2 **

**Grade Level:** 9-12

**Credit:** 1.0, Full Year

**Prerequisite: **Successful completion of Algebra 1 and Geometry

Begins with a review of Algebra 1. Skills of solving, graphing, and writing equations and inequalities expanded to solve systems of equations. Students build knowledge of quadratics through solving polynomials and simplifying rational expressions. Students introduced to graphing quadratic functions. Instruction reinforces and extends knowledge of Geometry. The goal of this course is to prepare students for Pre-Calculus. Students may progress to Pre-Calculus, Statistics, AP Statistics or Advanced Math Applications. Seniors graduating after successful completion of this class would be expected to be ready for an entry level college mathematics course.

**Honors Algebra 2/Trigonometry **

**Grade Level:** 9-11

**Credit:** 1.0, Full Year

**Prerequisite: **Placement or successful completion of Honors Geometry or high achievement in Geometry with department recommendation.

Honors Algebra 2 and Trigonometry is a rigorous study of functions that were introduced during Algebra and Geometry. Each function; including polynomial, rational, logarithmic, exponential, and trigonometric, will be examined and applied in context. Great emphasis will be placed upon correct algebraic operations, and graphing calculators will be used to augment instruction. Prerequisites are mastery of Algebra I and Geometry and the recommendation of the department. Mastery of this class is appropriate preparation for AP Calculus AB. Students may progress to AP Calculus AB, AP Statistics, Statistics or Pre-Calculus.

**Pre-Calculus**

**Grade Level:** 9-12

**Credit:** 1.0, Full Year

**Prerequisite: **Successful completion of Algebra 2 or Honors Algebra 2/Trigonometry

Pre-Calculus is the study of functions through graphical, algebraic, and numerical analysis. In addition to reviewing linear and quadratic functions, it introduces polynomial functions of higher degree, rational, exponential, logarithmic, and trigonometric functions and allows students to represent (model) natural phenomena with these functions. Students may progress to AP Calculus AB, AP Statistics or Statistics. Seniors graduating after successful completion of this class would be expected to be ready for differential calculus, college algebra, statistics, or similar.

**Advanced Math Applications for College**

**Grade Level:** 12

**Credit:** 1.0, Full Year

**Prerequisite: **Successful completion of Algebra 2 E or Algebra 2

This course is designed for students who have successfully completed Algebra 2 Essentials. Topics studied during the first semester include problem-solving and critical thinking, logic, voting, and apportionment, and probability. Second-semester topics include statistics in sports, medicine, and politics, consumer mathematics, and financial management. Seniors graduating after successful completion of this class would be expected to be ready for an entry level college mathematics course. (This course does not hold honors distinction).

**Statistics**

**Grade Level:** 12

**Credit:** 1.0, Full Year

**Prerequisite: **Successful completion of Algebra 2 or Honors Algebra 2/Trigonometry

This course provides an introduction to Statistics and Probability by focusing on the collection, analysis, and use of data to examine real-world topics. Students will investigate how data are produced, displayed, and summarized, and will consider the underlying probabilities as a basis for determining whether the statistical outcomes are significant. Emphasis will be placed on topics and tools which are commonly used in the sciences and humanities, providing useful preparation for college-level courses. Seniors graduating after successful completion of this class would be expected to be ready for an entry level college mathematics and/or statistics course.

**AP Statistics**

**Grade Level:** 11-12

**Credit:** 1.0, Full Year

**Prerequisite: **Successful completion of Algebra 2 or Honors Algebra 2/Trigonometry

AP Statistics is an elective math course. Students who successfully complete the course and score high enough on the AP exam may receive credit for a one-semester introductory college statistics course. The course will study and focus on four major themes: exploring data, sampling and experimentation, anticipating patterns and statistical inferences. As part of an effort to develop effective statistical communication skills, students will be frequently required to prepare written and oral analyses of real data. Students will develop strategies for collecting, organizing, analyzing and drawing conclusions from data. Students will design and administer surveys and experiments, and then they will tabulate and analyze results from these experiments. Students will also study probability, perform simulations and understand how sampling distributions are related to confidence intervals and hypothesis tests.

**AP Calculus AB**

**Grade Level:** 9-12

**Credit:** 1.0, Full Year

**Prerequisite: **Successful completion of Honors Algebra 2 and Trigonometry or Pre-Calculus

Calculus applies five mathematical concepts to real world problems: functions, limits, continuity, derivatives and integrals. The course develops the skills necessary to support their application by analyzing all topics numerically, algebraically, and graphically. Designed to prepare students for the AP Calculus AB exam in the spring. Depending on the AP exam score, some colleges will transfer in college credits or count it as completion of a prerequisite. Beginning Fall 2020, this course now has an option for dual credit with Clackamas Community College.

Semester 1 → MTH251 (fall term)

Semester 2 → MTH252 (spring term)

Credits will transfer to many institutions and may count as college grades or completion of a prerequisite.

Students may progress to AP Calculus BC, AP Statistics, Statistics, Multivariable Vector Calculus or Linear Algebra.

**AP Calculus BC**

**Grade Level:** 10-12

**Credit:** 1.0, Full Year

**Prerequisite: **Successful completion of AP Calculus AB

Continues to build from AP Calculus AB. In addition to the topics from last year, the course analyzes parametric, polar, and vector equations, planar motion, additional integration techniques and applications, and sequences and series. Designed to prepare students for the AP Calculus BC exam in the spring. Depending on the AP exam score, some colleges will transfer in college credits or count it as completion of a prerequisite. Students may progress to AP Statistics, Multivariable Vector Calculus or Linear Algebra.

**Multivariable Vector Calculus **

**Grade Level:** 11-12

**Credit:** 1.0, Full Year

**Prerequisite: **Successful completion of AP Calculus AB

Topics this course will cover include vector functions, partial derivatives, the gradient, multiple integrations, vector field analysis, line and surface integrals, and coordinate transformations between cylindrical, spherical, and cartesian coordinates. The prerequisites are instructor approval and recommendation from the student’s AB Calculus teacher. A score of 4 or 5 on the Calculus AB or BC test is preferred. This course may alternate with Linear Algebra and be offered every other year.

**Linear Algebra**

**Grade Level:** 11-12

**Credit:** 1.0, Full Year

**Prerequisite: **Successful completion of AP Calculus AB

This course provides introduction and development of concepts relating to matrix operations and manipulation, eigenvalues and eigenvectors, with applications in engineering (including networks and transforms). The prerequisites are instructor approval and recommendation from the student’s AB Calculus teacher. A score of 4 or 5 on the Calculus AB or BC test is preferred. This course may alternate with Linear Algebra and be offered every other year.