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Course Title: Algebra 1 Department: MathematicsGrade Level: 9Time Per Day/Week: 42 minutes per day/5 times per week Length of Course: YearPrimary Resources: Algebra 1; McGraw-HillUnits of Study:Unit 1: Properties of real numbers
Unit 2: Solving linear equations
Unit 3: Proportional reasoning
Unit 4: Graphing linear functions
Unit 5: Solving and graphing absolute value equations
Unit 6: Solving systems of linear equations and inequalities, exponents and exponential functions
Unit 7: Polynomials and factoring
Unit 8: Probability and Statistics
Unit 9: Rational functions
Unit 10: Radicals
Unit 11: Solving and graphing quadratic functionsCurriculum Based Assessments: Section quizzes, Chapter tests, Unit testsStandardized Assessments: Keystone ExamDescription of Course:The study of Algebra expands what students know about applying operations to numbers to get specific fats to thinking in terms of patterns that are valid in many situations. Specifically, we replace unknown values with variables that allow us to write equations that represent patterns. The study of Algebra is largely about how to model situations and how to find the unknown patterns. Algebra 1 students spend much of the year modeling real-life problems with constant rates of change. In order to do this, students explore the properties of real numbers, absolute value, proportional reasoning, systems of linear equations and inequalities, and a brief introduction to quadratic functions. The emphasis on multiple representations provides opportunities for students to make connections and strengthen their problem-solving strategies. All Students completing Algebra 1 of Education. The Keystone Exam score is not used to calculate the student's final course grade.
Course Title: Algebra 1 Supplemental Department: Mathematics
Grade Level: 9, 10 and 11Time Per Day/Week: 42 minutes/every other day Length of Course: YearPrimary Resources:
Units of Study:Unit 1: Operations with Real Numbers and InequalitiesUnit 2: Linear Functions and Data Organizations
Curriculum-Based Assessments: Pre-assessments are used to determine the Algebra concepts most useful for each individual student to review and practice.
Standardized Assessments: Keystone Algebra ExamDescription of Course:This course is individualized to meet the needs of each individual student. Interactive Algebra Software is used to provide students with opportunities to practice Algebra skills and concepts. The Keystone Finish Line consumable is used to reinforce basic Algebra skills as well as practice the application of those skills. A variety of other Algebra textbooks are used as resources and provide more examples, remediation, and review. Throughout the course, Keystone Algebra Exam sample problems are used to help students become comfortable with the type of problems they will encounter on the exam.
Course Title: Applied Math Department: Math/Special Education-Life Skills
Grade Level: 9-12
Time Per Day/Week: 42 minutes/everyday
Length of Course: Year
Primary Resources: Attainment Math: Explore Math and Real World Math
Units of Study:
Unit 1: Time - basic time skills and elapsed time
Unit 2: Money - basic money skills, budgeting, comparison shopping, using coupons, reading receipts, leaving tips, calculating cost
Unit 3: Personal Finance -banking, paychecks, paystubs, wages
Unit 4: Measurements and ConversionsDaily: Practice with basic math operations, problem solving, reading charts and graphs, and solving simple equations.
Curriculum-Based Assessments: Assessments given by the Attainment math program for each unit, as well as math probes based on state alternative standards.
Standardized Assessments: Brigance Transition Skills Inventory
Description of Course:
Applied Mathematics is a course for students whose IEP reflects the use of alternate standards. Students are given a baseline pre-test before each unit of study. The program is a literacy-based curriculum which utilizes word problems and graphic organizers taught in a repetitive, direct instruction method. The concepts are based on grade level standards and incorporate daily functional math skills based on real-world applications. Students are taught one story a week and the skills are applied and practiced in a variety of ways throughout the week. Students also use the Brigance Transition Assessment and Getting Real Assessments to see where their math strengths and weaknesses are.Course Title: Concepts of Mathematics Department: Mathematics Grade Level: 9-12Time Per Day/Week: 42 minutes per day/5 periods per week Length of Course: Year
Primary Resources: Teacher-created materialsUnits of Study:Unit 1: Place Value and Number OperationsUnit 2: Factors and DivisibilityUnit 3: Operations with Fractions, Decimals, and PercentsUnit 4: IntegersUnit 5: Ratio and ProportionUnit 6: PercentsUnit 7: MeasurementUnit 8: GeometryUnit 9: Area and Volume
Unit 10: Intro to Algebra
Curriculum Based Assessments: Unit Quizzes, Unit Tests, Unit Assessments, Projects
Standardized Assessments: NoneDescription of Course:This course is designed for students who need further mathematics foundational development before enrolling in Algebra 1 and taking the Keystone Algebra 1 Exam. Building a strong foundation of basic arithmetic skills through real-world applications, solving multi-step problems, exploring the geography of the number line and coordinate plane, and fostering pre-algebraic habits of mind are important parts of this course. In addition, students receive specific supports based o their unique needs. Concepts of mathematics will continue to deepen their understanding of algebraic concepts and application to a real-world context.
Course Title: Geometry/Geometry with Lab Department: Mathematics
Grade Level: 9 - 10Time Per Day/Week: 42 min/day, Lab section meets an extra 42 minutes every other dayLength of Course: Year
Primary Resources: Holt Geometry; Holt, Rinehart, and Winston
Units of Study:Unit 1: Points, Lines, PlanesUnit 2: Geometric ReasoningUnit 3: TrianglesUnit 4: PolygonsUnit 5: Three dimensionsUnit 6: CirclesUnit 7: Transformations
Curriculum Based Assessments: Section quizzes, Chapter tests, Midterm and Final Exams
Standardized Assessments: N/A
Description of Course:Geometry topics are studied using both an inductive and a deductive approach. Students discover relationships through experimentation and then verify their discoveries by deductive proofs. Real-world applications and algebraic connections are emphasized. Topics include definitions, constructions, parallel line properties, triangle and polygon properties, circles, transformations, tessellations, symmetry, area, surface area, volume, the Pythagorean Theorem, similarity, basic trigonometry, and basic logic.
Course Title: Honors Geometry Department: Mathematics
Grade Level: Grades 8-10Time Per Day/Week: 42 minutes/5 days a week Length of Course: Year
Primary Resources: Holt Geometry; Holt, Rinehart, and WinstonUnits of Study:Unit 1: Points, Lines, and PlanesUnit 2: Geometric ReasoningUnit 3: TrianglesUnit 4: PolygonsUnit 5: Three DimensionsUnit 6: CirclesUnit 7: Transformations
Curriculum Based Assessments: Section Quizzes, Chapter Exams, Midterm, and Final
Standardized Assessments: N/A
Description of Course:
This is a fast-paced high school geometry course that integrates synthetic, coordinate, and transformational geometry. This course extends the students’ knowledge of algebra, develops their understanding of proofs, and provides opportunities for students to apply their knowledge in real-world situations. Reading mathematics and writing logical arguments are emphasized.Course Title: Algebra 2 Department: MathematicsGrade Level: 9-12
Time Per Day/Week: 42 minutes/ 5 days a week Length of Course: Year
Primary Resources:
Units of Study:Unit 1: Data and Linear RepresentationsUnit 2: Numbers and FunctionsUnit 3: Systems of Linear Equations and InequalitiesUnit 4: Quadratic FunctionsUnit 5: Higher-order Polynomial FunctionsUnit 6: Exponential and Logarithmic FunctionsUnit 7: Rational and Radical Functions
Curriculum Based Assessments: Section Quizzes, Unit Tests, Midterm Exam, Final Exam
Standardized Assessments: N/ADescription of Course:Algebra 2 is the study of functions: polynomial (linear, quadratic, cubic, etc.), piece-wise, exponential, logarithmic, radical, and rational. Functions are explored through multiple representations and practical application problems that show connections between course content and other fields. Function operations and transformations provide a common thread to link the unit of study.
Course Title: Honors Algebra 2 Department: Mathematics
Grade Level: 9, 10
Time Per Day/Week: 42 minutes/every day Length of Course: Year
Primary Resources: Big Ideas Math: Algebra 2; Big Ideas Learning
Units of Study:
Unit 1: Introduction to Functions
Unit 2: Linear Functions
Unit 3: Matrices
Unit 4: Quadratic Functions
Unit 5: Quadratic Equations and Complex Numbers
Unit 6: Polynomial Functions
Unit 7: Rational Exponents and Radical Functions
Unit 8: Exponential and Logarithmic Functions
Unit 9: Rational Functions
Unit 10: Series and Sequences
Curriculum Based Assessments: Quizzes, Unit Tests, Midterm Exam, Final Exam
Standardized Assessments: N/A
Description of Course:
Algebra 2 is the study of functions: polynomial (linear, quadratic, cubic, etc.), radical, exponential, logarithmic, and rational. Functions are explored through multiple representations and challenging applications. Function operations and transformations provide a common thread to link the units of study. Additional units of study include matrices (with connections to systems of equations), series and sequences, and piecewise functions.
Course Title: Precalculus Department: Mathematics
Grade Level: 10-12
Time Per Day/Week: 42 minutes/everyday Length of Course: Year
Primary Resources: Pre-calculus; Holt, Rinehart, and Winston
Units of Study:
Unit 1: Polynomial Expressions and Functions
Unit 2: Rational Functions
Unit 3: Radical Functions
Unit 4: Piecewise Functions and Applications of Functions
Unit 5: Conic Sections
Unit 6: Right Triangle Trigonometry
Unit 7: Trigonometric Functions and Basic Identities
Unit 8: Trigonometric Graphs
Unit 9: Solving Trigonometric Equations and Modeling Trigonometric Functions
Unit 10: Trigonometric Identities and Proofs
Curriculum-Based Assessments: Unit Exams, Midterm, Final Exam
Standardized Assessments: N/A
Description of Course:
Precalculus is a course with college-level algebra and trigonometry that is designed to prepare students for the study of calculus. Students enrolled in this course generally intend on taking a calculus course in high school (Business Calculus or College in High School Business Calculus). The year begins with a review of polynomial expressions and functions, followed by a continuation of the study of functions: rational, radical, and piecewise. The analysis of conic sections from a coordinate point of view is also studied. The second semester begins with a study of trigonometry, including right triangles, and continues with graphing periodic functions, modeling periodic phenomena, proving identities, and solving trigonometric equations.
Course Title: Honors Pre-Calculus Department: Mathematics
Grade Level: 9-11Time Per Day/Week: 42 minutes/everyday Length of Course: Year
Primary Resources: Precalculus: A Graphing Approach; Holt, Rinehart, and WinstonUnits of Study:Unit 1: Right Triangle TrigonometryUnit 2: Trigonometric GraphsUnit 3: Solving Trigonometric EquationsUnit 4: Modeling Trigonometric FunctionsUnit 5: Trigonometric Identities and ProofsUnit 6: Oblique TrianglesUnit 7: Analytic GeometryUnit 8: Linear RegressionUnit 9: Function AnalysisUnit 10: Statistics and Probability
Curriculum-Based Assessments: Section quizzes, Chapter tests, Unit tests
Standardized Assessments: N/ADescription of Course:Honors Pre-Calculus includes the study of Trigonometry, including right triangle trigonometry, graphing periodic functions, modeling periodic phenomena, providing identities, and solving trigonometric equations. The course continues with regression, analytical geometry, and modeling with various functions and proof. This rigorous course is designed for the advanced mathematics student intent on enrolling in an AP level mathematics course the following year (either AP Calculus AB, AP Calculus BC, or AP Statistics). The curriculum for this honors coursed is distinguished by a difference in rigor and quality of work, compacting and extending concepts studied in the Pre-Calculus course.
Course Title: Business Calculus Department: Mathematics
Grade Level: 11 & 12Time Per Day/Week: 42 minutes/everyday Length of Course: Year
Primary Resources: Brief Calculus: An Applied Approach; Cengage Learning
Units of Study:Unit 1: LimitsUnit 2: Derivative Theory and ApplicationUnit 3: Integration Techniques and ApplicationsUnit 4: Functions of Several Variables
Curriculum-Based Assessments: Quizzes, chapter exams, midterm, final
Standardized Assessments: N/A
Description of Course:Calculus is the study of how things change. This calculus course is designed for the student who plans to pursue a non-science related field in college. Business Calculus begins with a brief review of precalculus concepts then moves to the study of limits, derivatives, and integrals. These concepts will be applied to polynomial, power, rational, exponential, and logarithmic functions. In addition, this course includes an introduction to the calculus of several variables. This course and the CHS course cover the same content. This course differs from the AP Calculus classes by placing less emphasis on trigonometric functions and the proof of theorems; more emphasis is placed on the use and application of calculus concepts.Course Title: College in High School Business Calculus Department: Mathematics Grade Level: 11 & 12Time Per Day/Week: 42 minutes/everyday Length of Course: YearPrimary Resources:Units of Study:Unit 1: LimitsUnit 2: Derivative Theory and ApplicationsUnit 3: Integration Techniques and ApplicationsUnit 4: Functions of Several VariablesCurriculum-Based Assessments: Quizzes, Chapter Exams, MidtermStandardized Assessments: ALEKS Exam (a prerequisite for enrollment), CHS Exam #1, #2, #3 (University of Pittsburgh), CHS Final Exam (University of Pittsburgh)Description of Course:Calculus is the study of how things change. This calculus course is designed for the students who plan to pursue a non-science related field in college. Through successful completion of the coursework and CHS exams, a student may earn four college credits. Placement into this course is contingent upon earning a passing score (as determined by the University of Pittsburgh's College in High School Program) on the ALEKS placement test. Business Calculus beings with a brief review of precalculus concepts then move to the study of limits, derivatives, and integrals. These concepts will be applied to polynomial, power, exponential, and logarithmic functions. In addition, this course includes an introduction to the calculus of several variables. This course differs from AP Calculus classes by placing less emphasis on trigonometric functions and the proof of theorems; more emphasis is placed on the use and application of calculus concepts.
Course Title: Trigonometry and Analytical Geometry Department: Mathematics
Grade Level: 11 and 12Time Per Day/Week: 42 minutes/everyday Length of Course: Year
Primary Resources: Precalculus: A Graphing Approach; Holt, Rinehart, and Winston
Units of Study:Unit 1: Right Triangle TrigonometryUnit 2: Trigonometric GraphsUnit 3: Solving Trigonometric EquationsUnit 4: Modeling Trigonometric FunctionsUnit 5: Trigonometric Identities and ProofsUnit 6: Oblique TrianglesUnit 7: Analytic Geometry
Curriculum Based Assessments: Section quizzes, Chapter tests, Unit tests
Standardized Assessments: N/A
Description of Course:
Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles. This level of trigonometry is for students who are not intending to take a calculus course in high school. The year begins with a study of trigonometry, including both right and non-right triangles, applying the trigonometric ratios, graphing the trigonometric functions and describing the effects transformations have on these functions. Students will also solve trigonometric equations, algebraically and graphically, using inverse functions. Describing the properties of simple harmonic motion and modeling periodic phenomena are also studied. Students prove trigonometric identities. The year concludes by analyzing conic sections and other geometric curves from a coordinate point of view. Algebra concepts will be reviewed as needed.
Course Title: AP Calculus AB Department: Mathematics
Grade Level: 10-12Time Per Day/Week: 42 minutes/everyday Length of Course: Year
Primary Resources: Calculus: Graphical, Numerical, Algebraic; Pearson Prentice HallUnits of Study:Unit 1: Functions, Graphs, and LimitsUnit 2: Derivative Theory and TechniquesUnit 3: Applications of DerivativesUnit 4: IntegralsUnit 5: Applications of IntegralsCurriculum-Based Assessments: Unit Exams, Midterm, Final Exam
Standardized Assessments: AP Calculus AB Exam (College Board)
Description of Course:Calculus is the study of how things change. This course looks at ways to measure tiny (infinitesimal) changes and use that information to construct quantitative models of change, allowing the student to predict large changes in relationships between variables. AP Calculus AB is equivalent to a first-semester college calculus course and it is expected that students who enroll have a strong mastery of material in algebra, geometry, trigonometry, analytical geometry, and elementary functions (equivalent to four years of high school mathematics) and can handle the rigor of a college-level mathematics course with the intention of placing out of a comparable college calculus course. AP Calculus AB is structured around three big ideas: limits, derivatives, and integrals. Students apply calculus to polynomial, power, trigonometric, exponential, and logarithmic functions. This course emphasizes a multi-representational approach, with concepts, results, and problems being expressed and connected graphically, numerically, analytically, and verbally.Course Title: AP Calculus BC Department: MathematicsGrade Level: 11, 12Time Per Day/Week: 42 min/everyday Length of Course: YearPrimary Resources:Units of Study:Unit 1: LimitsUnit 2: DerivativesUnit 3: IntegralsUnit 4: The Fundamental Theorems of CalculusUnit 5: Series
Curriculum-Based Assessments: Quizzes, chapter exams, midterm, final
Standardized Assessments: AP Calculus BC Exam (College Board)Description of Course:Calculus is the mathematical study of change. We look at ways to measure tiny changes in patterns and use that information to describe large changes in relationships between variables. AP Calculus BC students apply their knowledge of calculus to many types of functions (such as polynomials, parametric, and exponential functions) and connect results and concepts across different representations: data, graphs, and equations. In the limits unit, we develop techniques to evaluate tiny changes in variables. In derivatives, we study the average and instantaneous rates of change. Integrals are used to sum quantities (such as the volume of a peanut shell). The history of mathematics is explored with the Fundamental Theorem of Calculus which connects derivatives and integrals as inverse operations of each other. Finally, AP Calculus BC students study the convergence or divergence of sequences and series and how functions can be modeled with special types of polynomials. The course is closely aligned to the Advanced Placement Calculus BC curriculum published by the College Board.
Course Title: Statistics Department: Mathematics
Grade Level: 11th-12th GradeTime Per Day/Week: 42 min. Per day / 5 Days Per Week Length of Course: Year
Primary Resources:The Practice of Statistics for the AP Exam [7th Ed]
Units of Study:Unit 1: Descriptive StatisticsUnit 2: Data ProductionUnit 3: ProbabilityUnit 4: Inference
Curriculum Based Assessments: Section quizzes, Chapter tests, Midterm, and Final.
Standardized Assessments: AP Statistics ExamDescription of Course:This course teaches the methods of descriptive and inferential statistics. Topics include data collection and description, data production, correlation and regression, analysis of variance, the probability to build a foundation for inference. The course focuses on data and statical reasoning over theory and recipes. It aims to give students the main ideas of statistics with useful skills for working with data. The TI 83/84/89 graphing calculator is used extensively for computation, graphing, and simulation. The course curriculum is designed to meet the requirements for AP Statistic established by the College Board. Students are expected to read through examples and case studies while completing their daily classroom assignments. Several "special problems" and projects are assigned throughout the year that require more in-depth analysis, and a final project is assigned that requires the generation of data as well as the analysis with statistically well-supported conclusions. The pace of the course is set to have students prepared for the AP exam in May of each year. Students can also earn college credits for this course through the College in High School Program of the University of Pittsburgh.
Course Title: AP Statistics Department: Mathematics
Grade Level: 11, 12Time Per Day/Week: 42 min/day, 5 days/week Length of Course: Year
Primary Resources: The Practice of Statistics for the AP Exam [7th Ed]
Units of Study:Unit 1: Descriptive StatisticsUnit 2: Data ProductionUnit 3: ProbabilityUnit 4: Inference
Curriculum Based Assessments: Unit Tests, Quizzes, Projects, Midterm, Final Project
Standardized Assessments: AP Statistics ExamDescription of Course:This course teaches the methods of descriptive and inferential statistics. Topics include data collection and description, data production, correlation and regression, analysis of variance, the probability to build a foundation for inference, and inference. The course focuses on data and statistical reasoning over theory and recipes. It aims to give students the main ideas of statistics with useful skills for working with data. The TI 83/84/89 graphing calculator is used extensively for computation, graphing, and simulation. The course curriculum is designed to meet the requirements for AP Statistics established by the College Board. Students are expected to read through examples and case studies while completing their daily classroom assignments. Several “special problems” and projects are assigned throughout the year that require more in-depth analysis, and a final project is assigned that requires the generation of data as well as the analysis with statistically well-supported conclusions. The pace of the course is set to have students prepared for the AP exam in May of each year. Students can also earn college credits for this course through the College in High School Program of the University of Pittsburgh.
