Integrated Math III

Basics of Geometry

• Basic Constructions
• Constructing with Parallel and Perpendicular Lines
• Constructions with Technology
• Introduction to Proofs

Transformations and Congruence

• Translations
• Reflections
• Rotations
• Rigid Motion and Congruence

Coordinate Geometry

• Using the Coordinates
• Slope
• Coordinate Applications

Volume and Figures

• Formulas
• Applications of Volume
• Density
• 3-D Figures

Trigonometry

• Introduction to the Unit Circle
• Unit Circle and the Coordinate Plane
• Trigonometric Functions with Periodic Phenomena
• Pythagoras, Trigonometry, and Quadrants

Dividing and Solving Polynomials

• Polynomial Long Division
• Polynomial Synthetic Division
• Theorems of Algebra
• Rational Root Theorem and Descartes’ Rule of Signs
• Graphing Polynomial Functions
• Polynomial Identities and Proofs

Rational Expressions

• Simplifying Rational Expressions
• Multiplying and Dividing Rational Expressions
• Adding and Subtracting Rational Expressions
• Simplifying Complex Fractions
• Discontinuities of Rational Expressions
• Asymptotes of Rational Functions
• Applications of Rational Equations

Exponential and Logarithmic Functions

• Properties of Logarithms
• Solving Exponential Equations with Unequal Bases
• Graphing Exponential Functions
• Graphing Logarithmic Functions

Sequences and Series

• Arithmetic Sequences
• Arithmetic Series
• Geometric Sequences
• Geometric Series
• Sigma Notation
• Infinite, Convergent, and Divergent Series
• Graphing Sequences and Series

Statistics

• Normal Distribution
• Models of Populations
• Using Surveys and Experiments