COLLEGE ALGEBRA Instructor Nicholas Crosby Phone Number 885-7847 ext.7283 (school) 885-1230 (home)
SVHS Mathematics Department E-Mail Address
[email protected]
COURSE DESCRIPTION The student will demonstrate competency by integrating geometrical, statistical and algebraic concepts. Calculators will be used in plotting functions, analyzing data, simulating experiments, predicting series and sequence, and solving logarithmic equations. GRADING POLICY 30% Common Assessments, 10% Final, 30 % Homework, 30% Quizzes. 1. Common Assessments may be retaken once and the scores will be averaged. In the case that the average is below 70%, the higher score will be taken up to 70%. Students must complete any re-take within 7 days of the original test. 2. Final may be retaken only if the student scored below 60%. The student may retake the final up to 70%. Students will be required to: Participate in learning activities Keep a notebook Attend class, and bring books and graphing calculator, graphing notebook. Perform quality work in all areas; proficient on all standards Units of study 1. Exponential and Logarithmic Functions: Graph growth functions, Graph exponential decay functions, Use functions involving e, Evaluate logarithmic and graph logarithmic functions, apply properties of logarithms, solve exponential and logarithmic equations, Write and apply exponential and power functions 2. Rational Functions: Model and inverse and joint variation, Graph simple rational functions, graph general rational functions, multiply and divide rational expressions, Add and subtract rational expressions, solve rational equations. 3. Quadratic Relationships and Conic Sections: Apply the distance and mid point formulas, Graph and write equations of parabolas, Graph and write equations of circles, Graph and write equations of ellipses, Graph and write equations of hyperbolas, Translate and classify conic sections, Solve Quadratic systems. 4. Sequence and Series: Define and use sequence and series, Analyze arithmetic sequences and series, Analyze geometric sequence and series, Find sums of infinite geometric series, Use recursive rules with sequence and functions.
Unit Exponential and logarithmic functions
Standard 1. Numbers Operations and concepts 2. Geometry 3. Measurement 4. Algebra
Benchmark (1-1), (1-2),(1-3) (2-2), (2-4) (3-1) (4-1), (4-2), (4-3), (4-4), (4-5)
Assessments test
Rational functions
1. Numbers Operations and concepts 2. Geometry 3. Measurement 4. Algebra
(1-1), (1-2),(1-3) (2-2), (2-4) (3-1) (4-1), (4-2), (4-3), (4-4), (4-5)
test
Analytical Geometry
1. Numbers Operations and concepts 2. Geometry 3. Measurement 4. Algebra
(1-1), (1-2),(1-3) (2-2), (2-4) (3-1) (4-1), (4-2), (4-3), (4-4), (4-5)
test
Sequence and Series
1. Numbers Operations and concepts 2. Geometry 3. Measurement 4. Algebra
(1-1), (1-2),(1-3) (2-2), (2-4) (3-1) (4-1), (4-2), (4-3), (4-4), (4-5)
test
Course Material and Resources Textbook: Algebra and Trigonometry Structure and Method. Book 2, McDougal Littell Houghton Mifflin Company, 2000 Graphing Calculator (Ti-83 and newer. TI-84 plus is recommended)
State Standards and Benchmarks 1. NUMBER OPERATIONS AND CONCEPTS • Students will represent, use and apply numbers in a variety of forms. • Students will apply the structure and properties of the real number system • Students will select and perform operations and evaluate the reasonableness of results of number operations. • Students will use proportional reasoning to solve problems. 2. GEOMETRY • Students will use transformations, congruency, symmetry, similarity, perpendicularity, and parallelism to solve problems. • Students will communicate, using mathematical language to: o Interpret, represent, or create geometric figures o Draw or build figures from mathematical descriptions o Analyze properties and determine attributes of 2 and 3 dimensional objects. • Students will communicate the reasoning used in problem-solving situations • Students will solve problems involving the coordinate plane. • Students will connect geometry with other mathematical topics 3. MEASUREMENT • Students apply estimation and measurement using the appropriate methods and units to solve problems involving length, weight/mass, area, surface area, volume, and angle measure • Students will demonstrate an understanding of both metric and U.S. customary systems. Students will be able to convert within each system • Students will identify and apply scale, ratios, and proportions in solving measurement problems. • Students will solve problems of angle measure including those involving polygons or parallel lines cut by a transversal. • Students will solve indirect measurement problems 4. ALGEBRAIC CONCEPTS AND RELATIONSHIPS • Students will use algebraic concepts, symbols, and skills to represent and solve real-world problems • Students will write, model, and evaluate expressions, functions, equations and inequalities. • Students will graph linear equations and interpret the results in solving algebraic problems. • Students will solve, graph, or interpret systems of linear equations. • Students will connect algebra with other mathematical topics
Performance Standards In a problem-solving situation, using appropriate tools of technology, algebra, and geometry, a proficient student will work independently to: -Write ,model, and evaluate functions, equations, inequalities, and systems to reach a solution or make a connection -Represent, use, and apply numbers in a variety of forms -Make connections in applying properties of numbers, logarithms , and conics to complex situations -Collect, organize, interpret, and present numerical information using tables, graphs -Solve problems using definitions and properties of logarithms, series, sequence, and conics. - Solve life-situation problems by applying knowledge of logarithms and draw valid conclusions. -Select and make appropriate use of scientific calculators, computers and software. Students who perform at a proficient or advanced level on all the content standards will receive credit. Students who need help to achieve the standards will be tutored in after school programs until they meet the standard or the school year ends.
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