Mathematics Program

Graduation Requirements: A math or math intensive course must be taken each year in high school, including Algebra I.

Please remember to use the teacher’s recommendation when choosing a math course.

396-FOUNDATIONS OF MATHEMATICS

(1 credit)

Students will review basic math skills and concepts to prepare students for Pre-Algebra. Topics include operations of whole numbers, decimals, fractions, divisibility rules, factors and multiples, prime and composite numbers, prime factorization, place value, percentages, and graphing basics.

Enrollment in this course will be determined by the math placement process. This course meets every day for half a year. Students must also choose Pre-Algebra (394).

394-PRE-ALGEBRA

(1 credit)

This course is a continuation of the half year Foundations of Mathematics course. It meets every day for half a year. Students will study algebraic expressions, integers, one and two step equations and inequalities, decimals and equations, factors, fractions, exponents, operations with fractions, ratios, proportions, and percents, slope, linear functions, graphing, data analysis and probability.

Enrollment in this course will be determined by the math placement process. This course meets every day for half a year. Students must also choose Foundations of Mathematics (396).

398-PRE-ALGEBRA

(1 credit)

Students will study algebraic expressions, integers, one and two step equations and inequalities, decimals and equations, factors, fractions, exponents, operations with fractions, ratios, proportions, and percents, slope, linear functions, graphing, data analysis and probability.

Enrollment in this course will be determined by the math placement process.

405-ALGEBRA I

(1 credit)

Students will study how to simplify algebraic expressions, translate verbal expressions to algebraic expressions, properties, relations, functions, literal equations, weighted averages slope, systems of equations and inequalities, exponents, quadratics, graphing, factoring, descriptive statistics, and polynomial operations.

Enrollment in this course will be determined by the math placement process.

414-ALGEBRA I

(2 credits)

Students will study how to simplify algebraic expressions, translate verbal expressions to algebraic expressions, properties, relations, functions, literal equations, weighted averages slope, systems of equations and inequalities, exponents, quadratics, graphing, factoring, descriptive statistics, and polynomial operations.

The pacing at which students explore the content has been adapted to allow remediation of core skills. Upon successful completion of the course, 2 credits will be awarded, and the second credit meets the PHS Algebra I graduation requirement.

Enrollment in this course will be determined by the math placement process.

400-ALGEBRA I Level 1

(1 credit)

This course is designed for students who have demonstrated strong mathematical abilities. The content standards in this class are the same as Algebra I. Students are expected to work at an increased pace and engage with the content at a deeper level. Students enrolling in Level 1 Algebra I are expected to demonstrate the work habits and mindsets associated with Level 1 work.

Enrollment in this course will be determined by the math placement process.

404-ALGEBRA I Honors

(1 credit)

This course is designed for students who have demonstrated exceptional mathematical abilities. The content standards in this class are the same as Algebra I. Students are expected to work at an increased pace and engage with the content at a deeper level. Students enrolling in Honors Algebra I are expected to demonstrate the work habits and mindsets associated with honors-level work.

Enrollment in this course will be determined by the math placement process.

425-GEOMETRY

(1 credit)

This course begins by developing the tools of Geometry, including technical vocabulary and proofs. Students will explore geometric concepts and applications through a variety of approaches including discovery and inductive/deductive reasoning. Students develop the geometric structure through theorems, postulates, properties, and definitions. Topics include proofs, congruence, similarity, trigonometry, coordinate geometry, probability, circles and extending shapes into three dimensions.

Prerequisite: Algebra I

420-GEOMETRY Level 1

(1 credit)

This course is designed for students who have demonstrated strong mathematical abilities. The content standards in this class are the same as Geometry. Students are expected to work at an increased pace and engage with the content at a deeper level. Students enrolling in Geometry Level 1 are expected to demonstrate the work habits and mindsets associated with Level 1 work.

Prerequisite: Grade of B- or better in Algebra I L1

421-GEOMETRY Honors

(1 credit)

Honors Geometry is designed for students who have demonstrated exceptional mathematical abilities. The content standards in this class are the same as Geometry. Students are expected to work at an increased pace and engage with the content at a deeper level. Students enrolling in Honors Geometry are expected to demonstrate the work habits and mindsets associated with honors-level work.

Prerequisite: Grade of B- or better in Honors Algebra I

435-ALGEBRA II

(1 credit)

Students review and expand the essential content of Algebra I including properties of real numbers, solving and graphing equations and inequalities (including absolute value), and solving linear systems. Students will then explore linear programming, behaviors of graphs, quadratics, radical expressions, relations, functions, factoring, polynomials, rational expressions, exponential and logarithmic functions.

Prerequisite: Algebra I and Geometry

430-ALGEBRA II Level 1

(1 credit)

Algebra II L1 is designed for those students who have demonstrated strong mathematical ability. The content standards in this class are the same as Algebra II. Students are expected to work at an increased pace and engage with the content at a deeper level. Students enrolling in Algebra II L1 are expected to demonstrate the work habits and mindsets associated with level one work.

Prerequisite: Grade of B- or better in Algebra I L1 and a B- or better in Geometry L1

Geometry L1 can be taken concurrently with Algebra II L1

431-ALGEBRA II Honors

(1 credit)

Honors Algebra II is designed for students who have demonstrated exceptional mathematical abilities. The content standards in this class are the same as Algebra II. Students are expected to work at an increased pace and engage with the content at a deeper level. Students enrolling in Honors Algebra II are expected to demonstrate the work habits and mindsets associated with honors-level work.

Prerequisite: Grade of B- or better in Algebra I Honors and B- or better in Geometry Honors

Geometry Honors can be taken concurrently with Algebra II Honors

438-APPLIED ALGEBRA

(1 credit)

Applied Algebra is a survey course, focusing primarily on Algebra skills and emphasis will be placed on applying these skills in real world situations. Students will develop ease in simplifying and evaluating polynomial and rational expressions, as well as solve linear equations and inequalities, quadratic equations and systems of linear equations. This is a full-year course.

Prerequisite: Junior or Senior; Algebra II

443-TRIGONOMETRY

(1 credit)

In this course students study trigonometric properties, applications, and they apply these skills and concepts to practical applications. Students solve triangular problems, and they learn trigonometric functions, convert radian measures, prove trigonometric identities, graph trigonometric functions, and apply Heron's Formula.

Prerequisite: Algebra II and Geometry

447-PRE-CALCULUS Level 1

(1 credit)

Students will explore the twelve basic functions and their algebraic properties which reinforce connections among algebraic, graphical, and numeric representations. Students connect the algebra of functions to the visualization of their graphs, introduce parametric equations, limit notation, continuity, boundedness, end behavior, domain, and range. This course integrates graphing technology throughout the course, not an additional topic, but rather as an essential tool for both mathematical discovery and effective problem solving.

Prerequisite: Grade of B- or better in Algebra II Level 1 and B- or better in Geometry Level 1

448-PRE-CALCULUS Honors

(1 credit)

Precalculus Honors is designed for students who have demonstrated exceptional mathematical abilities. The content standards in this class are the same as Precalculus. Students are expected to work at an increased pace and engage with the content at a deeper level. Students enrolling in Precalculus Honors are expected to demonstrate the work habits and mindsets associated with honors-level work.

Prerequisite: Grade of B- or better in Algebra II Honors and B- or better in Geometry Honors

450-CALCULUS CC

(1 credit)

Students will explore broad concepts and focus on understanding and manipulating functions, curves, theorems, and problem types. Students should understand the meaning of the derivative in terms of a rate of change and local linear approximation and should be able to use derivatives to solve a variety of problems. With the unifying themes of derivatives, integrals, limits, approximation, and applications and modeling, students should be able to communicate mathematics in well-written sentences and should be able to explain solutions to problems (APcentral.collegeboard.com). Students learn to use the graphing calculator. It is recommended that students purchase their own graphing calculator for home use.

Prerequisite: Grade of B- or better in Precalculus

455-CALCULUS AP

(1 credit)

The AP Calculus part of the course engages students to be able to work with functions represented in various ways, understand the meaning of derivatives and integrals to solve a variety of problems, communicate mathematics and explain solutions, model written descriptions of physical situations with a function, a differential equation, or an integral, use technology, and develop an appreciation of Calculus as a coherent body of knowledge (APcentral.collegeboard.com). Students are able to take the AP Calculus exam as administered by the College Board. Test fees are the responsibility of the student.

Prerequisite: Grade of B- or better in Precalculus Honors

462-STATISTICS

(½ credit)

Students learn the fundamental concepts of probability: graphs and tables, random sampling, measures of central tendency, probability and probability distributions, confidence interval, linear correlation, regression analysis and prediction. This course is for the student who plans to enter such fields as biology, business, economics, education, medicine, psychology, and sociology and is not yet ready for the college Statistics course. This is a half-year course.

Prerequisite: Algebra II and Geometry

463-STATISTICS CC

(1 credit)

Students learn the fundamental concepts of probability: graphs and tables, random sampling, measures of central tendency, probability and probability distributions, confidence interval, error and sample size estimation, hypothesis testing, linear correlation, regression analysis and prediction. Statistics is a course for the student who plans to enter such fields as biology, business, economics, education, medicine, psychology, and sociology. It is recommended that students purchase their own graphing calculator for home use.

Prerequisite: Grade of B- or better in Algebra II

456-STATISTICS AP

(1 credit)

The course introduces students to the major concepts and tools for collecting, organizing, analyzing, and drawing conclusions from data. Students design, administer, and tabulate results from surveys and experiments. Probability and simulations aid students in constructing models for chance phenomena. Sampling distributions provide the logical structure for confidence intervals and hypothesis tests. Students use a TI 84+ graphing calculator to investigate statistical concepts. To develop effective statistical communication skills, students are required to prepare frequent written and oral analysis of real data. Students are able to take the AP Statistics exam as administered by the College Board. Test fees are the responsibility of the student.

Prerequisite: Grade of B- or better in Algebra II

467-Introduction to Programming WITH PYTHON

(½ credit)

This course is intended as an introduction to programming which will provide students with a strong foundation using the programming language Python, as well as general computer science theory. It is assumed that students taking this course have no formal programming experience. Therefore, the course focuses on basic programming concepts such as commands for performing calculations, receiving input and displaying output, basic flow control structures, and functions / methods. The class will also begin looking at the object-oriented programming concepts of classes and objects. This course requires mathematical problem solving skills, as students will be examining complex problems that computers can solve more effectively than humans can. This is a half-year course.

This course qualifies as a Math Intensive course.

Prerequisite: Junior or Senior; Algebra II or taking concurrently