MATHEMATICS
Integrated Math III
High School · 9 – 12 Courses
Integrated Math III
Overview
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 Topics and Concepts
Basics of Geometry
3- Constructing with Parallel and Perpendicular Lines
- Constructions with Technology
- Introduction to Proofs
Transformations and Congruence
4- Translations
- Reflections
- Rotations
- Rigid Motion and Congruence
Coordinate Geometry
3- Using the Coordinates
- Slope
- Coordinate Applications
Volume and Figures
4- Formulas
- Applications of Volume
- Density
- 3-D Figures
Trigonometry
4- Introduction to the Unit Circle
- Unit Circle and the Coordinate Plane
- Trigonometric Functions with Periodic Phenomena
- Pythagoras, Trigonometry, and Quadrants
Dividing and Solving Polynomials
6- 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
7- 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
4- Properties of Logarithms
- Solving Exponential Equations with Unequal Bases
- Graphing Exponential Functions
- Graphing Logarithmic Functions
Sequences and Series
7- Arithmetic Sequences
- Arithmetic Series
- Geometric Sequences
- Geometric Series
- Sigma Notation
- Infinite, Convergent, and Divergent Series
- Graphing Sequences and Series
Statistics
3- Normal Distribution
- Models of Populations
- Using Surveys and Experiments
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