MATHEMATICS
CASA requires students to have 3 credits of Mathematics for graduation. Mathematics courses are offered both livetaught and online.
LIVETAUGHT MATHEMATICS COURSE OFFERINGS
PREALGEBRA
Course Overview: This course helps students make a successful transition from arithmetic to algebra by focusing on basic concepts of arithmetic and the applications of mathematics. Students learn about integers, fractions, decimals, expressions, equations, ratios, proportions and percentages, inequalities, graphing, probability and statistics, and geometry. The course highlights the math skills needed to be successful in everyday life and prepares students for future mathematics courses. This course is offered to students in grades 9 and/or 10.
Units of Study:

Rational Numbers and Equations

Proportions and Similarity

Linear and Nonlinear Functions

Two and ThreeDimensional Space
ALGEBRA I
Course Overview: This course takes students on a journey through algebraic concepts and applications. The course focuses on linear equations, inequalities, functions, graphing, systems of equations, polynomials, factoring, quadratic equations, probability, statistics, rational expressions, roots, and radicals. Students build critical thinking skills and problemsolving techniques required to grasp algebraic fundamentals. This course is a twoperiod block that will utilize direct instruction, student practice, and the online program, ALEKS. At the end of the course, students will take the Pennsylvania Algebra Keystone exam; passing at the proficient or advanced level is required for graduation in the state of Pennsylvania. This course is offered to students in grades 9 and/or 10.
Units of Study:

Numbers & Operations

Algebra

Geometry

Measurement

Statistics and Probability
GEOMETRY
Course Overview: Through realworld examples and problems, this course encourages students to see how geometry is useful in everyday life. The course focuses on parallel lines, perpendicular lines, triangles, circles, polygons, area, volume, similarity, trigonometry, geometric reasoning, and proofs. This course also highlights building critical thinking skills and problemsolving techniques required to help students grasp geometric concepts. This course is offered to students in grades 9, 10, 11, and/or 12, and offered at the College Prep and Honors levels.
Units of Study:

Logical reasoning and methods of proof

Lines in a plane

Congruent triangles and properties of triangles

Polygons

Similarity

Right triangles and trigonometric ratios

Circles

Planar and Space measurements
ALGEBRA II
Course Overview: This course is an extension of the topics discussed in Algebra I and provides further development of the concepts of equations and functions. In this course, students learn algebraic concepts such as linear functions, linear systems, matrices, quadratic functions, polynomial functions, polynomials, exponential functions, logarithmic functions, rational functions, radical functions, conic sections, probability, statistics, sequence, series, and trigonometric functions. Throughout the course, students develop critical thinking skills and problem solving techniques. This course is offered to students in grades 9, 10, 11, and/or 12, and offered at the College Prep and Honors levels.
Units of Study:

Absolute value equations and inequalities

Linear equations and inequalities

Quadratic equations

Polynomials

Inverses of functions

Rational equations

Quadratic inequalities
PRECALCULUS
Course Overview: The purpose of this course is to promote indepth understanding of concepts and mathematical thinking necessary for higher levels of math and their applications. This course is part of an overall mathematics studies program with a rigorous academic core that extends what students have previously learned in math courses as well as introducing more advanced topics. Precalculus teaches properties of algebra and trigonometry and the language of functions. This course is offered to students in grades 10, 11, and/or 12.
Units of Study:

Symmetries, rates of change, and end behavior of graphs

Polynomial functions

Properties of exponents and logarithms

Trigonometric functions

Trigonometric equations

Algebraic and matrix methods

Limits of polynomial and rational functions

Graph relationships using polar coordinates

Directional motion and force with vectors
CALCULUS
Course Overview: The purpose of this course is to promote an indepth understanding of the use of Calculus concepts. Calculus is a vital component of many scientific fields and realworld applications. This course will be an indepth study of differential and integral Calculus. Students will discover numerical, graphical, and analytical methods of understanding concepts and are required to express their understanding through both the spoken and written word. This is not an Advanced Placement course, but the topics covered are identical to those tested on the AP Calculus Exam. This course is offered to students in grades 11 and/or 12.
Units of Study:

Limits and Continuity

The Integral and Integration

The Derivative and Differentiation

Applications of the Integral

Applications of the Derivative

First Order Differential Equations
CONSUMER MATH
Course Overview: The goal of this course is to motivate students while helping them establish a strong foundation for success in developmental and consumer mathematics. The course leads students through basic mathematics and its applications, focusing on whole numbers, integers, decimals, and percentages. Students make sense of the mathematics they encounter each day, including wages, banking, interest, credit, and consumer costs. At the end of this course, students have a knowledge and appreciation for mathematics and problem solving that prepares them for the future. This course is offered to students in grades 11 and/or 12.
Units of Study:

Earning Money

Personal Banking

Making Purchases

Making a Budget

Buying Food/Nutrition

Buying a Car

Buying vs. Renting a home

Income Taxes Investing Money