Transcript 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.
•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.
•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.
Table of Contents
• Functions
Polynomial and Rational Functions
• Exponential and Rational Functions
• Trigonometry of Triangles
• Trigonometric Functions
• Additional Topics in Trigonometry
• Sequences and Series
• Conic Sections and Parametric Equations
Precalculus with Limits
A Graphing Approach
Houghton Mifflin
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Chapter One
Chapter Two
Chapter Three
Chapter Four
Chapter Five
Chapter Six
Chapter Seven
Chapter Eight
Chapter Nine
Chapter Ten
Chapter Eleven
Functions and their Graphs
Polynomials and Rational Functions
Exponents and Logarithmic Functions
Trigonometric Functions
Analytic Trigonometry
Additional Topics in Trigonometry
Linear Systems and Matrices
Sequences, Series, Probability
Topics in Analytic Geometry
Analytic Geometry in Three Dimensions
Limits and Introduction to Calculus
A Look at Advanced Math
Concepts – Glencoe/McGraw Hill
Unit I Relations, Functions, and Graphs
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Chapter 1
Chapter 2
Chapter 3
Chapter 4
Linear Relations and Functions
Systems of Linear Equations and Inequalities
The Nature of Graphs
Polynomial and Rational Functions
Unit 2 Trigonometry
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Chapter 5
Chapter 6
Chapter 7
Chapter 8
The Trigonometric Functions
Graphs of the Trigonometric Functions
Trigonometric Identities and Equations
Vectors and Parametric Equations
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