 PineRichland School District
 Grades 912

Course Title: Algebra 1 Department: MathematicsGrade Level: 9 Time Per Day/Week: 42 minutes per day/5 times per week Length of Course: YearPrimary Resources: McGraw Hill  Algebra 1
Units of Study: Properties of real numbers, Solving linear equations, Proportional reasoning, Graphing linear functions, Solving and graphing absolute value equations, Solving systems of linear equations and inequalities, Exponents and exponential functions, Polynomials and factoring, Probability and Statistics, Rational functions, Radicals, Solving and graphing quadratic functions
Curriculum Based Assessments: Section quizzes, Chapter tests, Unit testsStandardized Assessments: Keystone ExamDescription: The study of algebra expands what students know about applying operations to numbers to get specific facts to thinking in terms of patterns that are valid in many situations. Specifically, we replace unknown values with variables which allows us to write equations that represent patterns. The study of algebra is largely about how to model situations and how to find the unknowns in our patterns. Algebra 1 students spend much of the year modeling reallife 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 problemsolving strategies. All students completing Algebra 1 are required to take the end of course Keystone Exam as mandated by the Pennsylvania Department of Education. The Keystone Exam score is not used to calculate the student’s final course grade.
Grade Level: 9, 10 and 11 Time Per Day/Week: 42 minutes/every other day Length of Course: YearPrimary Resources: Keystone Finish Line, Algebra 1. Elizabethtown, PA 17022, The Continental Press, Inc., 2013.
Units of Study: Operations with Real Numbers and Inequalities, Linear Functions and Data Organizations
CurriculumBased Assessments: Preassessments are used to determine the Algebra concepts most useful for each individual student to review and practice.
Standardized Assessments: Keystone Algebra Exam
Description:
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.
Grade Level: 9th12th Time Per Day/Week: 42 minutes/ everyday Length of Course: YearPrimary Resources: Attainment Math: Teaching to Standards
Units of Study: Geometry, Algebra, Data Analysis, Measurement
CurriculumBased Assessments: Assessments given from the Attainment math program for each unit
Standardized Assessments: Brigance Transition Skills Inventory
Description: 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 incorporated daily functional math skills based on realworld applications. Students are taught one story a week and the skills is applied and practiced in a variety of ways throughout the week.
Grade Level: 912 Time 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 Operations; Unit 2: Factors and Divisibility; Unit 3: Operations with Fractions, Decimals and Percents; Unit 4: Integers; Unit 5: Ratio and Proportion; Unit 6: Percents; Unit 7: Measurement; Unit 8: Geometry; Unit 9: Area and Volume;
Unit 10: Intro to Algebra
Curriculum Based Assessments: Unit Quizzes, Unit Tests, Unit Assessments, Projects
Standardized Assessments: None
Description: 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 multistep problems, exploring the geography of the number line and coordinate plane, and fostering prealgebraic habits of mind are important parts of this course. In addition, students will receive specific supports based on their unique needs. Concepts of mathematics will continue to deepen their understanding of algebraic concepts and application to real world context.
Grade Level: 9  10 Time Per Day/Week: 42 min/day, Lab section meets an extra 42 minutes every other day Length of Course: Year
Primary Resources: Berger, Chard, Hall. Holt Geometry. Austin, Texas, Holt, Rinehart and Winston, 2007.
Units of Study: Points, lines, planes; Geometric Reasoning; Triangles; Polygons; Three dimensions; Circles; Transformations
Curriculum Based Assessments: Section quizzes, Chapter tests, Midterm and Final Exams
Standardized Assessments: N/A
Description: 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 810 Time Per Day/Week: 42 minutes/5 days a week Length of Course: Year
Primary Resources: Holt Geometry. Austin, Texas, Holt, Rinehart, and Winston, 2011. Link to the online resource.
Units of Study: Points, Lines, and Planes, Geometric Reasoning, Triangles, Polygons, Three Dimensions, Circles, Transformations
Curriculum Based Assessments: Section Quizzes, Chapter Exams, Midterm, and Final
Standardized Assessments: N/A
Description:
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 realworld situations. Reading mathematics and writing logical arguments are emphasized.
Grade Level: 912
Time Per Day/Week: 42 minutes/ 5 days a week Length of Course: Year
Primary Resources: Algebra 2, Holt, Rinehart, Winston, 2003
Units of Study: Data and Linear Representations, Numbers and Functions, Systems of Linear Equations and Inequalities,Quadratic Functions, Higherorder Polynomial Functions, Exponential and Logarithmic Functions, Rational and Radical Functions
Curriculum Based Assessments: Section Quizzes, Unit Tests, Midterm Exam, Final Exam
Standardized Assessments: N/A
Description: Detailed study of functions (polynomial, exponential, logarithmic, rational, and radical), function operations,
matrices, probability, series, sequences, and statistics are used to develop problemsolving skills, critical thought
processes, and decisionmaking techniques. Practical application problems show connections between course content and other fields while written practice provides reinforcement of concepts and extension of communication skills.
Grade Level: 9, 10, 11 Time Per Day/Week: 42 Minutes Every Day Length of Course: year
Primary Resources: Algebra 2. Austin, TX, Holt, Rinehart, Winston, 2003.
Units of Study:
Data and Linear Representations, Introduction to Functions, Systems of Linear Functions and Linear Inequalities, Solving Systems Using Matrices, Quadratic Functions, Exponential and Logarithmic Functions, Higherorder Polynomial Functions, Rational and Radical Functions, Sequences and Series
Curriculum Based Assessments: Section quizzes, Unit Tests, Midterm Exam, Final Exam
Standardized Assessments: N/A
Description:
Algebra 2 is the study of functions: polynomial (linear, quadratic, cubic, etc.), piecewise, exponential, logarithmic, radical, rational, and recursive. Functions are explored through multiple representations and challenging applications. Function operations and transformations provide a common thread to link the units of study.
Grade Level: 1012 Time Per Day/Week: 42 minutes/every day Length of Course: Year
Primary Resources: Precalculus. Holt, Rinehart and Winston, 2006.
Units of Study: Right Triangle Trigonometry, Trigonometric Functions and Basic Identities, Trigonometric Graphs, Solving Trigonometric Equations, Modeling Trigonometric Functions, Trigonometric Identities and Proofs, Oblique Triangles, Analytic Geometry, Expressions, The Study of Functions
Curriculum Based Assessments: Unit Exams, Midterm, Final Exam
Standardized Assessments: N/A
Description:
PreCalculus is a course with collegelevel 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, College in High School Business Calculus). The year begins with a study of trigonometry, including right triangles, graphing periodic functions, modeling periodic phenomena, proving identities, and solving trigonometric equations. The analysis of conic sections from a coordinate point of view is also studied. The year concludes with a study of functions and their applications designed to increase students’ knowledge of algebra.
Grade Level: 911 Time Per Day/Week: 42 minutes/every day Length of Course: Year
Units of Study: Right Triangle Trigonometry, Trigonometric Graphs, Solving Trigonometric Equations, Modeling Trigonometric Functions, Trigonometric Identities, and Proofs, Oblique Triangles, Analytic Geometry, Linear Regression, Function Analysis, Statistics and Probability
Curriculum Based Assessments: Section quizzes, Chapter tests, Unit tests
Standardized Assessments: N/A
Description:
Honors PreCalculus includes the study of Trigonometry including right triangle trigonometry, graphing periodic functions, modeling periodic phenomena, proving identities, and solving trigonometric equations. The course continues with regression, analytical geometry, 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 course is distinguished by a difference in rigor and quality of work, compacting and extending concepts studied in the PreCalculus course.
Grade Level: 11 & 12 Time Per Day/Week: 42 minutes/every day Length of Course: Year
Primary Resources: Berresford, Geofferey C. and Rockett, Andrew M. Brief Applied Calculus. 4th ed., Houghton Mifflin Company, 2007.
Units of Study: Limits, Derivative Theory and Application, Integration Techniques and Applications, Functions of Several Variables
Curriculum Based Assessments: Quizzes, chapter exams, midterm, final
Standardized Assessments: N/A
Description: Calculus is the study of how things change. This calculus course is designed for the student who plans to pursue a nonscience 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 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 & 12 Time Per Day/Week: 42 minutes/every day Length of Course: Year
Primary Resources: Berresford, Geofferey C. and Rockett, Andrew M. Brief Applied Calculus. 4th ed., Houghton Mifflin Company, 2007.
Units of Study:
Limits, Derivative Theory and Applications, Integration Techniques and Applications, Functions of Several Variables
Curriculum Based Assessments: Quizzes, chapter exams, midterm
Standardized Assessments: ALEKS Exam (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 student who plans to pursue a nonscience 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 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, exponential, and logarithmic functions. In addition, this course includes an introduction to calculus of several variables. 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.
Grade Level: 11 and 12 Time Per Day/Week: 42 minutes/every day Length of Course: Year
Units of Study: Right Triangle Trigonometry, Trigonometric Graphs, Solving Trigonometric Equations, Modeling Trigonometric Functions, Trigonometric Identities and Proofs, Oblique Triangles, Analytic Geometry
Curriculum Based Assessments: Section quizzes, Chapter tests, Unit tests
Standardized Assessments: N/A
Description:
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 nonright 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.
Grade Level: 1012 Time Per Day/Week: 42 minutes/every day Length of Course: Year
Primary Resources: Calculus: Graphical, Numerical, Algebraic. Pearson Prentice Hall, 2006. (3rd edition)
Units of Study: Functions, Graphs, and Limits; Derivative Theory and Techniques; Applications of Derivatives; Integrals; Applications of IntegralsCurriculum Based Assessments: Unit Exams, Midterm, Final Exam
Standardized Assessments: AP Calculus AB Exam (College Board)
Description: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 firstsemester 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 collegelevel 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 multirepresentational approach, with concepts, results and problems being expressed and connected graphically, numerically, analytically, and verbally.
Grade Level: 11,12 Times Per Day/Week: 42 min/every day Length of Course: Year
Primary Resources: Finney, Ross L., Demana, Franklin D., Waits, Bert K., and Kennedy, Daniel. Calculus: Graphical, Numerical, Algebraic. AP Edition, 3rd ed., Pearson Prentice Hall, 2007.Units of Study: Limits, Derivatives, Integrals and the Fundamental Theorems of Calculus, Series
CurriculumBased Assessments: Quizzes, chapter exams, midterm, final
Standardized Assessments: AP Calculus BC Exam (College Board)
Description:
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 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.
Grade Level: 11th12th Grade Time Per Day/Week: 42 min. Per day / 5 Days Per Week Length of Course: Year
Units of Study: Descriptive Statistics, Data Production, Probability, Inference
Curriculum Based Assessments: Section quizzes, Chapter tests, Midterm, and Final.
Standardized Assessments: N/A
Description: In this course, students will learn about methods of descriptive and inferential statistics. Topics include data collection and description, data production, correlation and regression (descriptive statistics), probability and inference (inferential statistics). The course focuses on data and statistical reasoning over theory and recipes to allow students to develop the skills for working with data. The Texas Instruments 83/84Plus graphing calculator is used extensively for computation, graphing, and simulation. Students are expected to read through examples and case studies while completing their daily classroom assignments. Students will design experiments, collect and analyze data, and generate statistically supported solutions.
Grade Level: 11, 12 Time Per Day/Week: 42 min/day, 5 days/week Length of Course: Year
Primary Resources: The Practice of Statistics  2nd Edition, Yates, Moore, Starnes
Units of Study: Descriptive Statistics, Data Production, Probability, Inference
Curriculum Based Assessments: Unit Tests, Quizzes, Projects, Midterm, Final Project
Standardized Assessments: AP Statistics Exam
Description: This course teaches the methods of descriptive and inferential statistics. Topics include data collection and description, data production, correlation and regression, analysis of variance, 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 wellsupported 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