Integrated Math III

Mathematical concepts are applied to everyday occurrences such as earthquakes, stadium seating, and purchasing movie tickets. Investigate the effects of an equation on its graph through the use of technology.

Major Concepts:

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