MATHEMATICS

CASA requires students to have 3 credits of Mathematics for graduation. Mathematics courses are offered both live-taught and online. 

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LIVE-TAUGHT MATHEMATICS COURSE OFFERINGS

 

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PRE-ALGEBRA

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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.

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Units of Study:

• Rational Numbers and Equations

• Proportions and Similarity

• Linear and Nonlinear Functions

• Two and Three-Dimensional Space

 

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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 problem-solving techniques required to grasp algebraic fundamentals. This course is a two-period 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

 

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GEOMETRY

 

Course Overview:  Through real-world 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 problem-solving 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

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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

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PRECALCULUS

 

Course Overview:  The purpose of this course is to promote in-depth 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

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CALCULUS

 

Course Overview:  The purpose of this course is to promote an in-depth understanding of the use of Calculus concepts. Calculus is a vital component of many scientific fields and real-world applications. This course will be an in-depth 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

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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.

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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