Livermore Falls High School - Home of the Andies!

Foundations of Math A
Grade 9
.5 elective credit (unless otherwise assigned in IEP)
This course gives a full semester to the fundamentals of arithmetic: addition, subtraction, multiplication and division of whole numbers, fractions, decimals and integers. Place value, equivalent values between fractions, decimals and percents and other basic numeracy concepts will be explored. Translation of words-to-numbers as they apply to basic expressions will be started, as will problem-solving techniques. Basic real-world skills will be applied, as in currency transactions, checkbook usage and balancing, discounts calculated and applied, measurement in single, square and cubic units, and basic proportions. A specific focus will be given to organizational tools, study and work habits and accountability. A course contract will be required of each student indicating his or her commitment to completing the course requirements. Failure to uphold the spirit of the contract will result in dismissal from the course with no credits awarded.

Foundations of Math B
Grade 9
.5 elective credit (unless otherwise assigned in IEP)
This course gives a full semester to more in-depth views of numeracy, including algebraic abstractions, translation of word problems to mathematical sentences, problem solving, logic, graphing with analysis, probability and statistics. A deeper foundation of the fundamental concepts of mathematics will be built around real-life applications. Written descriptions of ideas and processes with mathematical terminology will be practiced. Strategies for organization, test-taking, written responses and linear thinking will be applied.
Prerequisite: Successful Completion of Foundations of Math A OR Permission of Instructor

Algebra I
Grades 9-10
1 math credit
This is a course for students with a solid foundation in arithmetic procedures. Solving equations, systems, graphing, and problem solving are the major concepts covered. Real life applications are implemented in each unit to strengthen the theory.

Honors Algebra II
Grades 9-10
1 math credit
In this course students will learn the topics of Algebra II including real numbers, equations and inequalities, exponents, polynomials, Cartesian coordinate system, rational expressions, radicals and exponents, quadratic equations, systems of equations, and applications. Students will develop the mathematical proficiency necessary to proceed to Honors Geometry. Prerequisite: Successful completion of Algebra I with a grade of 80 or above

Geometry A
Grades 10-11
.5 math credit
This is the first half of Geometry. This course introduces both plane and solid geometry. Concepts such as parallelism, perpendicularity, congruence, similarity, and symmetry of the plane, and solid geometry will be stressed. The mathematics of analytical geometry learned in Algebra I will be expanded upon. A review of the concepts found in Algebra I will take place throughout the year.
Prerequisite: Successful Completion of Algebra I

Geometry B
Grades 10-11
.5 math credit
This is the second half of Geometry. This course continues the study of both plane and solid geometry. Concepts such as parallelism, perpendicularity, congruence, similarity, and symmetry of the plane, and solid geometry will be stressed. The mathematics of analytical geometry learned in Algebra I will be expanded upon. A review of the concepts found in Algebra I will take place throughout the year.
Prerequisite: Successful Completion of Geometry A

Honors Geometry A
Grades 10-11
.5 math credit
This is the first half of Honors Geometry. In the course, students will learn the relationships between points, lines, plane figures, and solids. The logic and structure of proving theorems as well as review of algebra will be stressed throughout the year.
Prerequisite: Successful Completion of Algebra I

Honors Geometry B
Grades 10-11
.5 math credit
This is the second half of Honors Geometry. Students will continue to study the relationships between points, lines, plane figures, and solids. The logic and structure of proving theorems as well as review of algebra will be stressed throughout the year.
Prerequisite: Successful Completion of Honors Geometry A

Algebra II A
Grades 10-11
.5 math credit
This is the first half of Algebra II. In it students will continue to study algebraic expressions and equations but adds more depth to early knowledge. Additional topics covered are functions and their graphs, graphing systems of equations and inequalities in two variables, linear regression, solving systems of equations in two and three variables, and using matrices to solve equations in two and three variables.
Prerequisite: Successful Completion of Algebra 1

Algebra II B
Grades 11-12
.5 math credit
This is the second half of Algebra II. In it students will continue to study algebraic expressions and equations but adds more depth to early knowledge. Additional topics covered are quadratic functions, logarithmic functions and their graphs, conic sections, and trigonometry.
Prerequisite: Successful Completion of Algebra II A

Probability and Statistics
Grades 9-12
1 math credit
This year long course has the ability to improve the student’s decision-making skills and it will allow them to expand on new and developing ideas. Probability and Statistics is often required as a college subject for most majors, and this beginner’s course will serve a key analytical tool for every day life. The understanding of (descriptive and inferential) statistics, you will collect, organize, analyze and display data, generate and use statistical information to support or challenge a position. With the measures of probability, you will distinguish between theoretical and empirical probability, develop strategies to calculate the number of possible outcomes for various events, determine probabilities with role-play activities, and by exploring probability distributions.
Prerequisites: Successful Completion of Algebra 1

AP Statistics
Grades 10-12
1 math credit
AP Statistics is designed to impact student’s thinking and the way they view the world. The course is designed to challenge the student to become critical consumers of published statistical data and prepares them to take the AP Statistics exam given in May. The course follows the same rigor as a college level course where abstract and critical thinking are achieved by written free-response and abstract questions. Assignments will be tied to real world data and class time will often include hands-on interactive experiments and activities. The emphasis and core principles of this course placed on the AP Statistics exam will include Exploring data, Sampling and experimentation, Anticipating patterns, and Statistical inference. The student will also gain knowledge on the use technology, TI-84 to aid them in solving statistical problems.
Prerequisites: Successful Completion of Algebra II OR Successful Completion of Probability and Statistics with a C+ or better OR Permission of Instructor if Enrolled in Algebra II/Geometry

Pre-Calculus
Grades 11-12
1 math credit
This college-preparatory course is above average in difficulty. Algebra II will be reviewed and more thoroughly studied. Trigonometry will be examined in great detail. Challenging problems and their solutions will be emphasized. The method of problem - solving is similar to that of Honors Geometry and Honors Algebra.
Prerequisites: Successful Completion of Algebra II and Geometry

AP Calculus
Grades 11-12
1 math credit
Calculus offers the student an opportunity to do college-level work in calculus and related analytical geometry. Major content areas include limits, derivative of a function and applications, the indefinite integral and applications, transcendental functions, methods of integration and infinite sequence and series. Students who wish to take the Calculus AP exam in May will need to do additional individual work outside of the classroom.
Prerequisites: Successful Completion of Pre-Calculus

This course explores practical applications of mathematical concepts. Topics include budgeting, banking (checkbook use and balancing and ATM and credit cards), investments, record keeping, financial statements, and taxes. The focus will be on connecting academic exercises to real life situations in an effort to prepare students for life during and after high school. Local area business owners will be utilized as mentors, guest speakers, and consultants. Students will be matched to a mentor and will personalize many course assignments.