Students will learn to describe and translate among graphic, algebraic, numeric, tabular, and verbal representations of relations and use those representations to solve problems. Students will learn to apply basic mathematical and algebraic processes and techniques in a variety of situations. The process of collecting and analyzing data should be embedded throughout this course. Students should be able to judge the meaning, utility, and reasonableness of the results of symbol manipulations, including those carried out by technology.
Language of Algebra: Students will develop the language of algebra including specialized vocabulary, symbols, and operations.
Solving Equations and Inequalities: Students will write equivalent forms of equations, inequalities and systems of equations and solve with fluency.
Linear Functions: Students will analyze functions by investigating rates of change, intercepts, and zeros.
Non-linear Functions: Students will compare the properties in the family of functions.
Data Interpretation and Probability: Students will compare various methods of reporting data to make inferences or predictions.
Algebra II builds on the basic concepts presented in Algebra I to encourage higher order thinking. Algebra II students will represent and analyze mathematical situations. The students will analyze and apply a variety of methods to model and graph linear and nonlinear equations and inequalities. Students will also use algebraic, graphical, and numerical methods for analysis of quadratic equations and functions and polynomials and rational functions. Exponential functions, logarithmic functions, data analysis, and probability will be explored in Algebra II.
Relations and Functions: Students will represent and analyze mathematical situations and properties using patterns, relations, functions and algebraic symbols.
Linear and Absolute Value Equations and Inequalities: Students will analyze and apply various methods to model, graph and solve linear and absolute value equations and inequalities.
Quadratic Equations and Functions: Students will use algebraic, graphical, and numerical methods to analyze, compare, translate, and solve quadratic equations.
Polynomial and Rational Functions, Equations and Inequalities: Students will use algebraic, graphical, and numerical methods to analyze, compare, translate, and solve polynomial and rational equations.
Exponential and Logarithmic Functions: Students will graph exponential functions and relate them to logarithms. They will solve real world problems using exponential functions.
Data Analysis and Probability: Students will evaluate and interpret data, make predictions based on data, and apply basic understanding of probability to solve real world problems.
Geometry will help students develop communication skills, enhance reasoning, and make connections within mathematics to other disciplines and the real world. Students will use physical models and appropriate technology to investigate geometric concepts in problem solving situations. In this course, students are engaged in problematic situations in which they form conjectures, determine the validity of these conjectures, and defend their conclusions to classmates.
Language of Geometry: Students will develop the language of geometry including specialized vocabulary, reasoning, and application of theorems, properties, and postulates.
Triangles: Students will identify and describe types of triangles and their special segments. They will use logic to apply the properties of congruence, similarity, and inequalities. The students will apply the Pythagorean Theorem and trigonometric ratios to solve problems in real world situations.
Measurement: Students will measure and compare, while using appropriate formulas, tools, and technology to solve problems dealing with length, perimeter, area and volume.
Relationships between two- and three- dimensions: Students will analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.
Coordinate Geometry and Transformations: Students will specify locations, apply transformations and describe relationships using coordinate geometry.
Pre-Calculus including trigonometry is designed for students who have successfully completed Algebra II and Geometry. Students will use symbolic reasoning and analytical methods to represent mathematical situations, to express generalizations, and to study mathematical concepts and the relationships among them. Students will use functions and equations as tools for expressing generalizations. This course will emphasize a study of trigonometric functions and identities as well as applications of right triangle trigonometry and circular functions. Students will be introduced to polar coordinates.
Polynomial and Rational Functions: Students will analyze polynomial and rational functions graphically and algebraically.
Exponential and Logarithmic Functions: Students will solve real world problems involving logarithmic and exponential functions. Draw and analyze graphs and find inverse functions.
Conics: Students will identify, analyze and sketch the graphs of the conic sections and relate their equations and graphs.
Sequences and Series: Students will use sequences and series to represent, analyze, and solve real world problems and mathematical situations.
Trigonometric Functions: Students will use different perspectives to develop and apply the definitions of the six trigonometric functions. They will sketch and analyze graphs, find inverse functions, and solve real world problems.
Oblique Triangles: Students will identify, create, and solve real world problems involving oblique triangles and vectors.
Trigonometric Equations and Identities: Students will verify trigonometric identities and solve trigonometric equations.
Polar Coordinates: Students will define polar coordinates and relate them to rectangular coordinates.
AP Calculus AB
AP Calculus includes coverage of the topics typically found in a first semester college Calculus class, including the following topics:
Functions: Graphs, and Limits: Analyze graphs and continuity of functions, apply limits of functions, understand and apply asymptotic and unbounded function behavior.
Derivatives: Understand the concept of derivatives, compute and utilize first and second derivatives at a point and as functions.
Integrals: Understand and interpret the properties and applications of definitive integrals, utilize the fundamental theorem of calculus, utilize integration techniques to compute and apply integration in practical applications.
Exploring Data: Students will construct and interpret graphical displays of distributions of
univariate data (dotplot, stemplot, histogram, cumulative frequency plot). Students will summarize and compare distributions of univariate data. Students will explore categorical and bivariate data.
Sampling and Experimentation: Students will plan and conducting a study utilizing appropriate data collection, planning, sampling methods to make valid, generalized conjectures.
Anticipating Patterns: Students will explore random phenomena using probability and simulation. Studies will include laws of probability, combining independent random variables, understanding and utilizing sampling distributions and the normal distribution.
Statistical Inference: Students will estimate population parameters and test hypotheses using estimation, tests of significance, and correlation coefficients.
Name: Subject: Room#: Phone#:
Bailey, Brandi Math PT-16 71564
Davis, Coral Math PT08 71505
Karpe, Jordan Math PT04 1505
VanHoose, Kipchoge Math PT15 71409
Baker, Frank Math PT-17 71627
Davis, Amanda Math PT-13 71602
Dirden, Rosetter Math PT-7 71630
Fulenwider, Erin Math PT-19 71523
Gilbert, Kim Math PT-5 71507
Gilson, James Math 145 71609
Harris, Jessica Math PT-4 71639
Moore, Kent Math 147 71511
Pruss, Amber Math PT-18 71579
Quinlan, Lester Math PT-15 71443
Riley, Melissa Math PT-6 71494
Saine, Natasha Math 152 71487
Schaffhauser, Lori Math 148 71512
Schlesinger, Debbie Math 338 71515
Smith, Kathleen Math PT-11 71617
Snodgrass, Richard Math PT-21 71650
Stavey, Doug Math PT-20 71476
Waldon, Ellen Math 150 71518
Jenkins, Heather Math Instructional Facilitator PT-12 71645
Vaught, Summer Math/Chair 143 71506
Chiu, Yueh-Wen (Michelle) Math/Foreign Language 237 71557