Integrated Algebra 2/Trigonometry R/CT 3315, 3325

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Claire Rich
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1 Integrated Algebra 2/Trigonometry R/CT 3315, 3325 Grades 10 or 11 Prerequisite: Completion of Geometry R/H/CT. Full year - 1 credit The New York State Integrated Algebra 2/Trigonometry curriculum content for this class includes topics such as quadratic and linear equations, factoring polynomial expressions, simplify complex fractional expressions, geometric and arithmetic sequences, transformational properties, trigonometry with applications, statistical measures of dispersions, characteristics of normal distributions, and theoretical probabilities. A graphing calculator (TI84+) will be used extensively in this course. This class will prepare students to take the Integrated Algebra 2/Trigonometry Regents examination. The co-taught mathematics course (3325) also prepares students for the NYS Algebra 2/Trigonometry Regents as they will work closely with both the mathematics and special education teachers. Additional instructional support will be recommended by the faculty as needed. Based upon departmental consideration, in conjunction with the Guidance Department and parents, student will be assigned to Integrated Algebra 2/Trigonometry Support. This class, which will meet every-other day, will generate a Pass/Fail grade and will earn a ½ elective class credit. The goal of the course is to provide identified students with additional instruction to promote better mathematical understanding. General Department Philosophy The Garden City Mathematics Department presents courses that align with either the New York State Regents curriculum or the College Board s Advanced Placement curriculum. In either case, the course material prepared by the Department (Grades 6 12) is fully consistent with these standards. In particular, our Advanced Placement syllabi have been approved by the College Board. Our Regents courses address the five NYS content strands as well as the five process strands. Our instructional activities are created to promote written and verbal mathematical communication and critical thinking skills that employ accurate mathematical ideas. The Department develops student assessments that are also consistent with the New York State and/or College Board assessment in both style and content. The scoring rubrics employed by the Department are modeled after the particular associated scoring guides. Additional information about the NYS Mathematics program can be found at and Advanced Placement program at Members of the Department encourage their students to explore, discover and question the many fundamental concepts developed within each courses. The primary objective is to engage our students in lessons that are meaningful, inspiring and enjoyable and promote a greater interest in mathematics at the post secondary level and beyond. Technology applications, such as calculator usage, are incorporated as developmentally appropriate and as specified by the NYS and/or College Board curriculum. The Department wants each student to realize that they can make a contribution to their class and that others can benefit from their input. The Department wants all students to maximize their mathematical potential as we move through the challenging curriculum and prepare to master all course requirements. Integers Students will factor algebraic expressions. Students will use factoring skills to solve algebraic equations/inequalities. Absolute Value & Factoring: common factor, trinomials, etc. Factor by Grouping

2 Solving Quadratic & Rational Numbers Simplifying rational expressions. Using the operations of addition, subtraction, multiplication and division within the context of rational expressions. Rational Expressions rational expressions Real Numbers & Radicals Using the operations of addition, subtraction, multiplication and division within the context of radicals. Solving equations involving radicals. radicals Radical Laws of Exponents Using properties of exponents to solve equations. Exponential Solving equations with positive, negative and fractional exponents. Relations & Determine when a relation is a Definitions: function Relation, function, Determine the domain and range of domain, range, a function inverse function Determine is a function is 1-to-1 Identify restricted Determine the inverse of a function domains Using direct & inverse variation Using function principles to solve problems notation Using interval notation Identify/demonstrate 1-to-1 Operations on Composition of Direct & inverse variation

3 Quadratic & Complex Numbers Using the completing the square method to solve quadratic equations. Using complex numbers. Using the equation of a circle in standard form identify key components. Solving quadratic equations by completing the square. Using quadratic formula. Complex numbers. Standard form of a circle. Solving quadratics with complex roots. Nature of the roots of Quadratics. Sum and Product of the roots. complex numbers. Write equations, given the roots. Graphing quadratic equations Max/min applications Quadratic word problems Solving Higher Order Polynomial Quadratic- Linear Systems Solving Quadratic Graphing quadratic inequalities. Logarithmic Log form -- exponential form and vise-versa Laws of logarithms Common logs Anti-logarithms Undefined logarithms

4 Natural logarithms -- using e and ln Solving log equations Simple and compound interest applications with logs Trigonometric Understanding the components of the unit circle. Using reference angles to determine values. Converting angles into radian measure and vice-versa. Finding remaining function values when only one is given. Trigonometry of a right triangle Angles as rotations Unit circle applications and demonstrations Reciprocal Reference angles Trigonometric values of special angles (0, 30, 45, 60, 90, 180, 270, 360 degrees) Radian measure Co-function relationships Graphs of Trig Graphs of sine, cosine and tangent Graphs of reciprocal (secant, cosecant and cotangent). Graphs of inverse -- restricted domain considered. Trigonometric Applications Using law of cosine and law of sine to solve applications exercises Solving force related applications Law of cosines Law of sines Area of triangles Ambiguous case of the law of sines

5 Trigonometric Identities and Statistics Using regression principles to solve problems. Measures of central tendencies Terms: mean, range, variance, standard deviation, etc. Statistical measures Regression: linear, quadratic, exponential, etc. Probability & Binomial Theorem Sequences & Series Primary Resources Grade/Course: 11/ Algebra2/Trig Title of Resource: Algebra 2 and Trigonometry Author: Gantert Publisher: Amsco Grade/Course: 11/ Algebra2/Trig Title of Resource: Algebra 2 and Trigonometry Author: Holliday, Cuevas, Carter, Marks, Casey, Day and Hayek Publisher: Glenco

Syllabus ENGR 190 Introductory Calculus (QR)

Syllabus ENGR 190 Introductory Calculus (QR) Catalog Data: ENGR 190 Introductory Calculus (4 credit hours). Note: This course may not be used for credit toward the J.B. Speed School of Engineering B. S.