MATH

Graduation Requirements: Algebra 1, Geometry, 3rd Math

Graduation Requirement: Algebra 1

2001  Algebra Explorations 2 credits

Upon earning a passing grade, this course will provide an elective credit as well as an Algebra 1 credit. This course formalizes and extends the mathematics that students learned in the middle grades. Algebra Explorations builds upon the Pre-Algebra curriculum and continues to move at a slower pace to ensure student understanding.Algebra Explorations introduces students to variables, algebraic expressions, equations, inequalities, functions, and all their multiple representations. Major topics of study include: evaluation of algebraic equations, exponent rules and manipulation, polynomials, solving and graphing linear equations, solving and graphing two variable inequalities, solving systems of equations, radicals, word problems, solving and graphing quadratic equations, and factoring.This course lays the foundation for mathematical literacy that will help students be successful in subsequent courses in mathematics.

2011 Algebra 1  1 credit

Algebra 1 is an in-depth study of algebra with an introduction to probability. This course balances basic math skills and concept development with applications, problem solving, critical thinking and technology. The primary objective of this course is the translation from written word problems to mathematical equations using variables and solving these equations. The students will use arithmetic processes in topics that include operations with functions, exponential expressions, and introductory probability.

Prerequisite: Successful completion of 8th grade math or Algebra Foundations

*Completed in the 8th grade receives credit on the LRHS transcript (1 credit)

Graduation Requirement: Geometry

2032 Geometry 1 credit

Beginning with three undefined terms and algebraic properties, special relationships in a plane are explored.  Topics studied are parallel lines, congruence, similarity, polygons, special properties of triangles and quadrilaterals, circles, area and volume.  The principles and applications of basic trigonometry will be studied.  Original proofs are required along with projects and presentations.

Prerequisite: Algebra 1

2043 Intermediate Algebra    1 credit

(please note that the ASVAB, SAT, ACT, and ACCUPLACER all contain Algebra 2 concepts)

Intermediate Algebra through Applications is a continuation of concepts introduced in Algebra 1 with emphasis on analyzing linear and nonlinear functions, equations, and inequalities through their applications. Students refine their abilities in solving systems of equations and inequalities, polynomial, rational, exponential, quadratic and radical equations and functions using the real number systems. Application of these concepts in the real world give opportunities to investigate ways in which mathematics is used to solve real world problems in a variety of disciplines including social, economic, and personal applications.

Prerequisite: Algebra 1 or Algebra Explorations

2053 Algebra 2 1 credit

This course builds upon the concepts and skills presented in Algebra I. College Algebra 2 is an in-depth study of algebra with data analysis. This course offers a transition from elementary mathematics to precalculus concepts through the study of functions, including linear, exponential, logarithmic, quadratic, radical, polynomial, and rational. Graphing and problem solving are at the core of each topic presented. Complex numbers are also studied in this course. Scientific calculators, graphing calculators, and laptop computers are used throughout the course.

Prerequisites: Algebra 1 

MATH ELECTIVES

2503 Statistics 1 credit

The purpose of this course is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. The four themes for the course are exploring data, sampling and experimentation, anticipating patterns, and statistical inference.  Students will use graphing calculators and other technology throughout their study of Statistics.

Prerequisites: Algebra 2 Suggested grade levels: 11-12

2503AP AP Statistics 1½ credit

This course is designed to prepare students to take the AP exam of the Advanced Placement Program in College Statistics.  Depending on the student’s score on this exam (given in May each year), college credit may be awarded.  Students learn the major concepts in statistics and tools for collecting, analyzing, and drawing conclusions from data.  The four themes for the course are exploring data, sampling and experimentation, anticipating patterns, and statistical inference.

Prerequisite: Algebra 2   Suggested grade levels: 11-12

2513 Pre-Calculus  1 LRHS credit, 4 USM credits through Project Aspire

Precalculus provides an in-depth study of the elementary functions—polynomial, rational, exponential, logistic, logarithmic and trigonometric.  Additional topics include analytical geometry and the study of limits.  Real-world problem applications are supplemented throughout the course and graphing calculators and laptop computers are used extensively. Students who do not take the college course can earn honors credit in this course by completing all honors challenges.

Prerequisites: Geometry and Algebra 2 Suggested grade levels: 11-12

2524 College Prep Math 1 credit

The purpose of College Prep Math is to prepare juniors and seniors who have completed College Algebra 2 with the skills they need to take math in college, Pre-Calculus, or Statistics.  This course builds upon the concepts and skills presented in College Algebra 2.  The study of functions will be extended in this course.  Topics include Rational Functions, Probability, Trigonometry, Analytical Geometry, Logics, Statistics and problem solving.  Other topics relevant to preparing for college will be covered.  Scientific and graphing calculators as well as computer graphing software are used throughout the course.

Prerequisites: Algebra 2 Suggested grade levels: 11-12

2534 Calculus A 1 LRHS credit, 4 USM credits through Project Aspire

In this course, students will study the branch of mathematics that deals with rates of change in continuous and varying quantities. The class will include exercises in the graphical, numerical, analytical and verbal representation of functions; the study and use of limits; derivatives as rates of change; the use of derivatives to solve a variety of problems; and derivative and definite integrals as expressed in both parts of the Fundamental Theorem of Calculus. Students will communicate mathematical solutions both orally and with the written word; use technology to help solve problems, interpret results, and verify conclusions; and determine the reasonableness of solutions.

Prerequisites: Pre-Calculus Suggested grade levels: 12

2535 Calculus B 1 LRHS credit, 4 USM credits through Project Aspire
This is the second course in a three-course sequence covering basic calculus of real variables. Calculus B includes techniques of integration, indeterminate forms and L'Hopital's Rule, improper integrals, infinite series, conic sections, parametric equations, and polar coordinates. Students will communicate mathematical solutions both orally and with the written word; use technology to help solve problems, interpret results, and verify conclusions; and determine the reasonableness of solutions.

Prerequisite: Calculus A Suggested grade levels: 12

2543 Introduction to Statistics  ½ credit

In this course, students will be introduced to Statistics through Data Analysis. Students will learn how data and statistical graphs are used by professionals to address real-world problems. Students will learn to analyze data, including collecting data and using it to generate hypotheses/claims, evaluate hypotheses using data, evaluate strengths and weaknesses of data, interpreting data, and draw data-based conclusions. “What is typical?” is a question that students will address using statistics. This course can count towards part of a third math graduation requirement credit.

Prerequisite: Algebra 1, Algebra 2 is recommended Suggested grade levels: 11-12

2553 Statistics through Sports ½ credit

Statistics is about extracting meaning from data. In this class, we will introduce techniques for visualizing relationships in data and systematic techniques for understanding the relationships using mathematics.  We will do this by incorporating sports and the wide array of statistics newly formed in the sports world. Hopefully this will lead to a greater understanding of statistics and a greater understanding of the world of sports. 

Prerequisite:  Algebra 1 Suggested grade levels: 10-12

2560 Logic, Puzzling, and Problem-solving ½ credit

Students in this elective course will explore the mathematics behind a variety of puzzles and games.  We will test hypotheses, draw conclusions, and play games.  Topics include, but are not limited to Tower of Hanoi, Tic Tac Toe, Rubik’s cube, sliding block puzzles, logic puzzles, Nim, Sudoku, and much, much more. 

Prerequisite: None Suggested grade levels: 9-12

2573 Trigonometry  ½ credit

Students will learn about radian and degree measures and conversions between systems of measure. Also, the Unit Circle, Even and Odd functions, Periodic functions, and Pythagorean Identities will be explored. Students will learn how to graph the sine function, read the sine function, and be able to recognize a prepared graph with the correct equation. Students will learn what an inverse trig function is, learn the restrictions on the domain for each function, and how to graph them. Laws of Sines and Cosines will be explored to solve non-right triangle problems and explore real life problems. 

Prerequisites: Algebra 1, Geometry, and Algebra 2 Suggested grade levels: 11-12

2583 Consumer Math  1 credit

You graduate from high school or college, land your first real job, and then what? Consumer Math is a half-year course designed to help students develop competencies in mathematics for life. How do you know if you can afford that 2 bedroom condo, or that BMW? This course uses an online program called FoolProof in conjunction with in-class practice of calculations. The course focuses on awareness of consumer related issues and strives to help students become more informed consumers now and in the future. Units on purchasing a car, a home, and insurance, calculating types of taxes, credit, checking and savings will be covered.  This course can count towards part of a third math graduation requirement credit.

Prerequisites: Algebra 1 and Geometry Suggested grade levels: 11-12

2610 Computer Coding ½ credit

 The course takes a wide lens on computer science by covering topics such as programming, physical computing, HTML/CSS, and data. Students engage with computer science as a medium for creativity, communication, problem solving, and fun. The course inspires students as they build their own websites, apps, games, and physical computing devices.

Prerequisite: None Suggested grade levels: 9-12