Mathematics Course Progression
Click on a course name to view its description …
Math 5
In this course, students gain a deeper understanding of mathematical principles and arithmetic operations and apply these to fractions and decimals, formulas and measurements, and positive and negative numbers. Word problems, geometry and data analysis strengthen problem solving and reasoning skills.
Math 6
This course of study stresses increased problem-solving strategies (particularly with word problems) and accurate computational skills. In addition to a thorough review of basic arithmetic operations and concepts, topics include: whole numbers, decimals, fractions, percentages, statistics, positive/negative numbers, place value and ratios. Geometric figures and concepts are also introduced and explored.
Math 7
This course begins with a review of the basic arithmetic operations with whole numbers, fractions and decimals. Students then study ratio and percent, positive and negative numbers, and the basics of geometry, including the area and volume of common geometric shapes. Additional topics include: equation solving, inequalities, probability and statistics, graphing linear equations, and square roots.
Pre-Algebra
This course includes a review of integers, rational numbers, percents, and geometry with an emphasis on problem solving. In preparation for Algebra I, students study equation solving, graphing linear equations, inequalities, probability and statistics, square roots and right triangle trigonometry. This course is open to qualified 6th and 7th grade students with permission of the department.
Introduction to Algebra
This is a course designed to provide students with the opportunity to further strengthen their pre-algebra skills and introduce them to the study of Algebra 1. The first two trimesters focus on operations with signed numbers, the fundamental axioms and properties of number theory and algebra, the language of algebra, equation solving, graphing linear equations, inequalities, ratios, proportions, percents, rational and irrational numbers, square roots, and measurement and precision. In the third trimester, students study functions and relations in Algebra along with right triangle trigonometry.
Algebra I
Algebra I is the study of positive and negative numbers, the fundamental axioms and properties of algebra, linear equations and inequalities, formulas, problem-solving using equations, operations with polynomials, quadratic equations and factoring, systems of linear equations, properties of exponents, and radical algebraic expressions. Additional topics may include rational algebraic expressions and function terminology. This course is open to qualified 7th and 8th grade students with permission of the department.
Geometry
This course in Euclidean geometry challenges students to think logically. Topics include congruent triangles, parallel and perpendicular lines, polygons, similarity, the Pythagorean Theorem, right triangle trigonometry, circles and arcs, area, and volume. Additional topics may include constructions and transformational and coordinate geometry. Geometric proofs are an integral part of this course. Ample opportunity is provided for students to apply and maintain algebraic skills.
Algebra II
As both a review and a continuation of Algebra I, this course focuses on first-degree equations and inequalities, systems of equations, polynomials, rational expressions, exponents, roots, complex numbers, quadratic equations, and quadratic functions along with their associated transformations. Study of other functions include: exponential, logarithmic, rational and root functions. Additional topics may include trigonometry, sequences, series, matrices, and conics.
Pre-Calculus
Intended as a preparation for an introductory calculus course in college, this course is an overview of the major types of functions that will be applied within the study of calculus. Topics include a thorough review of linear and quadratic functions and their associated transformations, an analysis of polynomial functions, the Fundamental Theorem of Algebra, rational functions, exponential and logarithmic functions, trigonometric functions, and assorted additional topics as time allows. Mathematical modeling is emphasized throughout the course and graphing calculators are used regularly to aid the study of the behavior of functions. Students wishing to take Pre-Calculus must have a strong algebra background.
Departmental recommendation required.
Pre-Calculus AB
Intended as a preparation for Advanced Placement Calculus AB, this course is an introduction to analysis and the study of functions. Topics include a review of quadratic functions and transformations, the theory of polynomials, the Fundamental Theorem of Algebra, rational and root functions, limits and asymptotic behavior, exponential and logarithmic functions, circular functions and trigonometry, complex numbers and polar graphing, vectors, conics, sequences and series, and parametric equations. Graphing calculators are used regularly to aid the study of the behavior of functions. Students wishing to take Pre-Calculus AB must have a strong algebra background, a demonstrated interest in mathematics, and a desire to enroll in AP Calculus for their senior year.
Departmental recommendation required.
Probability and Statistics
Designed for students who have completed at least Algebra II, this course combines fundamental probability and statistical concepts with techniques for using the TI-84 graphing calculator to perform calculations and data analyses. Topics included are: display and interpretation of data, correlation, regression, measures of central tendency, variance, populations and sampling techniques, random variables, normal and binomial distributions, confidence intervals and hypothesis testing. Throughout the course, students actively prepare and present a variety of projects that utilize statistical methods learned throughout the year.
Departmental recommendation required.
Statistics - Advanced Placement
Following the guidelines established by the College Board, this course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: exploratory analysis, sampling and experimentation, anticipating patterns with probability, and statistical inference. Students learn to describe patterns, plan and conduct studies, estimate population parameters, and test hypotheses. This course prepares students to take the AP Statistics exam in May.
Departmental recommendation required.
Calculus AB - Advanced Placement
Following the guidelines established by the College Board, this course covers the theory of limits, continuity, derivatives and their applications including curve sketching, maximum/minimum problems and related rates. Students then turn to integration and the Fundamental Theorem of Calculus with applications to area, volume, arc length and average value. Students learn to work with functions represented in a variety of ways: verbally, graphically, numerically and symbolically. This course prepares students to take the AP Calculus AB exam in May.
Departmental recommendation required.
Courses are offered depending upon sufficient staffing and student interest.
