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# Comprehensive Curriculum Advanced Math I

Comprehensive Curriculum Advanced Math I. The Structure of the Advanced Math I Course. Each of the eight units have the same structure. All are based on the GLEs for grades 11 and 12.

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## Comprehensive Curriculum Advanced Math I

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2. The Structure of the Advanced Math I Course • Each of the eight units have the same structure. • All are based on the GLEs for grades 11 and 12. • Each unit has a brief description, student understandings, guiding. questions, and a list of the GLEs and benchmarks covered in the unit. • There are between seven and nine activities listed for each unit. Each activity lists the GLEs covered by the activity. • Each unit ends with three general assessments and at least three specific activity assessments.

3. Vocabulary is integral to the course. Therefore the first activity in each unit is the Glossary. Each student should have a section in his or her notebook for vocabulary. Words should be added as they are encountered in the unit. • Review is very important. Students should complete a review sheet at least once a week. • Writing plays a very important part in this course. Therefore, many of the activities have a writing component. There is also a general writing assessment for each of the units.

4. Table of Contents • FunctionsPolynomial and Rational Functions • Exponential and Rational Functions • Trigonometry of Triangles • Trigonometric Functions • Additional Topics in Trigonometry • Sequences and Series • Conic Sections and Parametric Equations

5. Precalculus with LimitsA Graphing ApproachHoughton Mifflin • Chapter One Functions and their Graphs • Chapter Two Polynomials and Rational Functions • Chapter Three Exponents and Logarithmic Functions • Chapter Four Trigonometric Functions • Chapter Five Analytic Trigonometry • Chapter Six Additional Topics in Trigonometry • Chapter Seven Linear Systems and Matrices • Chapter Eight Sequences, Series, Probability • Chapter Nine Topics in Analytic Geometry • Chapter Ten Analytic Geometry in Three Dimensions • Chapter Eleven Limits and Introduction to Calculus

6. A Look at Advanced Math Concepts – Glencoe/McGraw Hill Unit I Relations, Functions, and Graphs • Chapter 1 Linear Relations and Functions • Chapter 2 Systems of Linear Equations and Inequalities • Chapter 3 The Nature of Graphs • Chapter 4 Polynomial and Rational Functions Unit 2 Trigonometry • Chapter 5 The Trigonometric Functions • Chapter 6 Graphs of the Trigonometric Functions • Chapter 7 Trigonometric Identities and Equations • Chapter 8 Vectors and Parametric Equations

7. Unit Three Advanced Functions and Graphing • Chapter 9 Polar Coordinates and Complex Numbers • Chapter 10 Conics • Chapter 11 Exponential and Logarithmic Functions • Unit Four Discrete Mathematics • Chapter 12 Sequences and Series • Chapter 13 Combinatorics and Probability • Chapter 14 Statistics and Data Analysis • Unit Five Calculus • Chapter 15 Introduction to Calculus

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