Mathematics
Math Department Vision Statement
The vision of the South Allegheny Mathematics Department is to provide quality instruction essential to maximize every student’s mathematical ability to prepare them to become responsible and productive members of an increasingly complex and technological society.
Algebra I
| Title: | Algebra I | Credit: | 1 |
| Course Number: | 0311 | Grade: | 9, 10 |
| Prerequisite: | N/A | Difficulty Rating: | 1 |
Description
Students will develop problem solving skills by using algebraic terminology and various equation solving techniques. Also, students will develop the ability to interpret written information into mathematical sentences.
PSP Algebra I
| Title: | PSP Algebra I | Credit: | 1 |
| Course Number: | 0313 | Grade: | 9, 10 |
| Prerequisite: | N/A | Difficulty Rating: | 1 |
Description
Students will develop problem solving skills by using algebraic terminology and various equation solving techniques. Students will also develop the ability to interpret written information into mathematical sentences. Finally, other topics such as dimensional analysis, direct variation and other higher level Algebra 1 skills will be incorporated.
Honors Geometry
| Title: | Honors Geometry | Credit: | 1 |
| Course Number: | 0315 | Grade: | 9 |
| Prerequisite: | "A" in Algebra I | Difficulty Rating: | 2 |
Description
Students will learn the basic definitions and principles of plane geometry in an effort to understand the relationships between various geometric figures as they pertain to congruence and similarity. The course will stress the concepts of triangles, parallel lines, polygons, and other solids. Students will also strengthen their critical thinking and logical skills. They will also reinforce their knowledge of algebraic concepts.
Geometry
| Title: | Geometry | Credit: | 1 |
| Course Number: | 0323 | Grade: | 9, 10 |
| Prerequisite: | Algebra I | Difficulty Rating: | 1 |
Description
Students will learn the basic definitions and principles of plane geometry in an effort to understand the relationships between various geometric figures as they pertain to congruence and similarity. The course will stress the concepts of triangles, parallel lines, polygons, and other solids.
Algebra II
| Title: | Algebra II | Credit: | 1 |
| Course Number: | 0321 | Grade: | 10, 11, 12 |
| Prerequisite: | Geometry | Difficulty Rating: | 1 |
Description
Students will study the advanced concepts of algebra including: linear functions, systems of equations, quadratic equations/functions, conic sections, and rational functions. Students will continue to enhance their equation-solving and problem-solving skills.
Honors Algebra II
| Title: | Honors Algebra II | Credit: | 1 |
| Course Number: | 0322 | Grade: | 10, 11, 12 |
| Prerequisite: | "A" or "B" in Geometry | Difficulty Rating: | 2 |
Description
Students will study algebraic concepts such as: linear functions, systems of equations, quadratic equations/ functions, conic sections, and rational functions. Students are also introduced to the topics of compound probabilities, exponential and polynomial functions, and other advanced algebraic concepts. Students will also work to enhance their equation and problem-solving skills.
Pre-Calculus
| Title: | Pre-Calculus | Credit: | 1 |
| Course Number: | 0331 | Grade: | 11, 12 |
| Prerequisite: | "C" or better in Algebra II | Difficulty Rating: | 1 |
Description
This course takes an in-depth yet slower pace look at the characteristics, properties, graphs, application, and behavior of quadratic, polynomial, exponential, logistic, and trigonometric functions. Other topics include Vectors, Matrices, Conic Sections, Polar Coordinates, Sequences and Series, and Statistics.
Honors Pre-Calculus
| Title: | Honors Pre-Calculus | Credit: | 1 |
| Course Number: | 0332 | Grade: | 11, 12 |
| Prerequisite: | "C" or better in Algebra II | Difficulty Rating: | 2 |
Description
This course takes an in-depth look at the characteristics, properties, graphs, application, and behavior of quadratic, polynomial, exponential, logistic, and trigonometric functions. Other topics include Vectors, Matrices, Conic Sections, Polar Coordinates, Sequences and Series, and Statistics.
Calculus
| Title: | Calculus | Credit: | 1 |
| Course Number: | 0342 | Grade: | 12 |
| Prerequisite: | "C" or better in Pre-calculus or Honors Pre-Calculus | Difficulty Rating: | 1 |
Description
This course is primarily concerned with developing the students' understanding of the concepts of calculus and providing experience with its methods and applications. The course emphasizes a multi-representational approach to calculus with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. The three big ideas are limits, derivatives, and integration.
AP Calculus
| Title: | AP Calculus | Credit: | 1 |
| Course Number: | 0340 | Grade: | 12 |
| Prerequisite: | "C" or better in Pre-Calculus | Difficulty Rating: | 3 |
Description
AP Calculus is primarily concerned with developing the students’ understanding of the concepts of calculus and providing experience with its methods and applications. The courses emphasize a multi-representational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. The connections among these representations also are important.
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Probability and Statistics
| Title: | Probability and Statistics | Credit: | 1 |
| Course Number: | 0333 | Grade: | 11, 12 |
| Prerequisite: | Passing grade in Algebra II | Difficulty Rating: | 1 |
Description
This course is an introduction to Probability and Statistics. This class will study the basic tools of probability theory and statistics. It is designed to provide a basic understanding of descriptive and inferential statistics. Topics include the measures of central tendency, standard deviation, combinations and permutations, probability, confidence intervals, hypothesis testing, sampling, variance, regression, and various discrete and continuous probability distributions.
Computer Science Principles
| Title: | Computer Science Principles | Credit: | 1 |
| Course Number: | 0304 | Grade: | 10, 11, 12 |
| Prerequisite: | N/A | Difficulty Rating: | 1 |
Description
This course covers a broad range of foundational topics such as programming, algorithms, the Internet, big data, digital privacy and security, and the societal impacts of computing. This course is designed to be an introduction to computer science.
AP Computer Science Principles
| Title: | AP Computer Science Principles | Credit: | 1 |
| Course Number: | 0305 | Grade: | 11, 12 |
| Prerequisite: | N/A | Difficulty Rating: | 3 |
Description
This course covers a broad range of foundational topics such as programming, algorithms, the Internet, big data, digital privacy and security, and the societal impacts of computing. This course is designed to be an introduction to computer science.
Honors Calculus (CIHS)
| Title: | Honors Calculus (CIHS) | Credit: | 1 |
| Course Number: | 0340 | Grade: | 12 |
| Prerequisite: | “C” or better in Pre-Calculus | Difficulty Rating: | 2 |
Description
The Honors Calculus course provides a comprehensive introduction to the principles of differential calculus. Students explore the fundamental concepts of functions, limits, and derivatives, learning how to compute derivatives using various differentiation rules. Emphasis is placed on understanding the derivative as a measure of change and its applications in real-world scenarios such as optimization and related rates problems. The course also covers the basics of integral calculus, including antiderivatives and definite integrals. Through a combination of theoretical explanations and practical problem-solving exercises, students develop analytical skills and mathematical reasoning abilities essential for success in higher-level mathematics and related fields. Skills and mathematical reasoning abilities essential for success in higher-level mathematics and related fields.
Information Technology Fundamentals
| Title: | Information Technology Fundamentals | Credit: | 1 |
| Course Number: | Grade: | 9-12 | |
| Prerequisite: | None | Difficulty Rating: | 1 |
Description
This course offers a foundational understanding of essential IT concepts and terminology, ideal for those new to the field or transitioning into IT careers. It covers a range of topics including hardware, software, networking, security, and database fundamentals.
PC Pro & A+
| Title: | PC Pro & A+ | Credit: | 1 |
| Course Number: | Grade: | 9-12 | |
| Prerequisite: | None | Difficulty Rating: | 1 |
Description
This course is designed to validate the foundational skills and knowledge required for entry-level IT professionals. It covers a wide range of topics related to hardware, software, networking, security, troubleshooting, mobile devices, cloud computing, and professionalism.
SAT Prep
| Title: | SAT Prep | Credit: | .5 |
| Course Number: | 0954 | Grade: | 10, 11, 12 |
| Prerequisite: | N/A | Difficulty Rating: | 1 |
Description
This course will require students to practice all sections of the SAT test. Four sections involve mathematics. Three sections involve reading and grammar. Improvement of performance within each section is the goal. Students will constantly improve their vocabulary by mastering an ongoing list of words that adapt in difficulty to their understanding. Students’ grades are based mostly on their completion of vocabulary words and practice questions. An ongoing minimum set of requirements in each category is monitored as students will work at their own pace.
Learning Support staff in our Math Department co-teach with our teachers in basic mathematics classes and are present during classroom instruction.