Comprehensive Curriculum Advanced Math I

1
Comprehensive CurriculumAdvanced Math I
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