Lake Region Union High School

317 Lake Region Rd.
Orleans, Vt. 05860
(802) 754-6521

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MATHEMATICS

All students must earn at least three credits in mathematics courses. We offer many choices for all grade levels and abilities.

Because of state requirements for testing and portfolios, all 9th and 10th grade students must take a core mathematics class. These include Pre-Algebra, Algebra I (honors or regular), Geometry (honors or regular), Algebra II (honors or regular), and Essentials of Math I or II. (Students taking honor-level courses are expected to have their own TI-83 graphing calculators.)

In order to succeed in mathematics, good attendance and homework are necessary. There is a daily homework assignment in nearly every math class. Missing assignments are the greatest cause of student failure in mathematics. It is the policy of the department that all missing work earns a grade of zero. Those students who are chronically absent miss out on class discussions and interactions which cannot be replicated, even if the absence is excused.

408 Essentials of Mathematics I 1 Credit

This course is a review of the operations on whole numbers, fractions, decimals, and percents and related problems. Geometry, measurement, and probability are also covered.

409 Essentials of Mathematics II 1 Credit

This course is a continuation of Essentials of Mathematics I. Essentials II emphasizes life skills such as banking, budget planning, insurance, taxes, and personal planning.

403 Pre-Algebra 1 Credit

Pre-Algebra gives a preliminary introduction to the concepts of algebra while providing the student with the opportunity to improve his/her skills in core mathematical areas.

Topics covered in this course include fractions, decimals and percents as well as patterns, operations with integers, graphs, probability, introduction to variables and algebraic concepts.


411 Consumer Mathematics 1 Credit

Consumer Mathematics is designed as a third year offering for those completing Essentials of Mathematics II. The fundamental operations of whole numbers, fractions, decimals, and percents are used to solve problems which are intrinsic to everyday life. These problems may include sales, computing interest, and budgeting.

Prerequisite: 2 years of math

402 Algebra I 1 Credit

This course integrates the primary concepts of Algebra I such as the use of variables to stand for unknown values and solving linear equations with statistics and problems taken from real-life situations.

Students will learn to graph linear equations and inequalities, perform operations on polynomials, and simplify radical expressions. They will also solve systems of equations by various methods and use them to solve problems. Graphing calculators are incorporated into the lessons occasionally throughout the year. Time permitting, quadratic equations will be introduced and solved using both the factoring and quadratic formula methods. Problem solving is integrated throughout the course.

401 Honors Algebra I 1 Credit

This course is designed for the student who has excelled in junior high mathematics. It is a faster paced course which covers more ground and delves more deeply into some of the algebra concepts than does the regular course. Graphing calculators will be used more extensively than in the regular Algebra I course.

Prerequisite: Teacher recommendation and permission from the Department Chair

407 Geometry 1 Credit

Students in this course will explore such concepts of geometry as symmetry, congruence, and similarity as well as receive an introduction to logic. Students will use both inductive and deductive reasoning to prove statements about congruent and similar triangles, parallel lines, polygons, and circles. Properties of right triangles including the Pythagorean Theorem are studied. Area and volumes of planar and solid figures are calculated. If time allows, transformations of figures are studied. Problem solving is integrated throughout the course.

Prerequisite: Algebra I


406 Honors Geometry 1 Credit

This course is designed for the student who has excelled in Algebra I and is intending to continue through four years of mathematics. It is a faster paced course which covers more ground and delves more deeply into some of the geometry concepts than the regular course does.

Prerequisite: Honors Algebra I or permission

405 Algebra II 1 Credit

This course is a continuation of the concepts developed in Algebra I and Geometry. Topics covered include: Linear equations, functions, solving systems of linear equations and inequalities, matrices and determinants, quadratic functions, polynomials, factoring, radicals, exponential and logarithmic functions, and possibly trigonometric functions, sequences and series as time permits.

Prerequisite: Geometry

404 Honors Algebra II 1 Credit

This course is designed for the student who excels in mathematics and sees a possible career in the field of mathematics or science. It is a faster paced course than Algebra II, and graphing calculators are used more extensively.

Prerequisite: Honors Geometry or permission

410 Business Mathematics 1 Credit

This course's fundamental units of study are centered on managing one's money, spending wisely, making money grow and basic business mathematics analysis. Within these units, students will study about checking and savings accounts and budgeting. Income taxes, insurance options, credit card management, and basic investment options are also covered.

Prerequisite: 2 years of math


412 Pre-Calculus 1 Credit

The course begins with a review of selected topics from Algebra II with an emphasis on function notation progressing to a thorough exploration of trigonometric functions. Concepts include the trigonometric functions of primary angles, graphs of trigonometric functions, identities, trigonometric equations, double and half angle formulas, and the Law of Sines and Law of Cosines for oblique triangles.

Prerequisite: Honors Algebra II or Algebra II with a grade of C or above.

414 Probability & Statistics 1/2 Credit

This one-semester course makes extensive use of experiments and data collection and data analysis to enable the student to deal with problems involving uncertainty, use simulations to estimate the probabilities and likelihood of certain events occurring, to understand the concept of a random variable, and to become "streetwise" in evaluating numerous everyday claims based on probability. The course also focuses on giving students practice in constructing and drawing inferences from charts, tables and graphs based on data collected by the students themselves. Students learn how to analyze and interpret measures of central tendency, how to make predictions based on statistical data, and how to evaluate the clarity and truthfulness of claims made by others every day using statistical measures.

Prerequisite: Honors Algebra II or Algebra II

415 Discrete Mathematics 1/2 Credit

Discrete math is being offered in conjunction with Probability & Statistics as an elective fourth or fifth math course. Frequently required by colleges and universities as a first or second year course, discrete math provides a more in depth examination of a collection of topics that are only briefly introduced during the regular Algebra, Geometry, Calculus sequence. These topics include but are not limited to the study of: sets, relations on sets, logic and truth, combinatorics, matrices, linear programming, and graph theory. Many classical and practical problems, such as the traveling salesman problem, logical reduction, and the prisoner's dilemma, will be used to introduce and expand upon material presented in this course.

Prerequisite: Honors Algebra II or Algebra II


413 Advanced Placement (AP) Calculus 1 Credit

Calculus is an advanced placement course in which the student may receive college credit upon successful completion of an examination. The course begins with a quick review of elementary functions. This includes the properties and graphs of algebraic, exponential, logarithmic, & trigonometric functions. Limits and continuity of functions are discussed and related to derivatives of functions; applications of the derivatives such as curve sketching and extreme value problems are taught. Techniques of integration and applications of the integral, which include area between curves and volumes of solids, are also presented. Graphing calculators are used extensively in this course.

Prerequisite: Pre-Calculus and permission from Department Chair.

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Page Last Updated April 24, 2007 1:01 PM