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High School Integrated Mathematics III

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Description

This course allows students to learn while having fun. Interactive examples help guide students’ journey through customized feedback and praise. Mathematical concepts are applied to everyday occurrences such as earthquakes, stadium seating, and purchasing movie tickets. Students investigate the effects of an equation on its graph through the use of technology. Students have opportunities to work with their peers on specific lessons.

Segment One

Module 01- Basics of Geometry

  • Points, lines, and planes
  • Constructions of segments, angles, lines, inscribed triangles, squares, and hexagons
  • Introduction to Proofs

Module 02 - Transformations and Congruence 

  • Translations
  • Reflections
  • Rotations
  • Rigid Motions and Congruence

Module 03 - Coordinate Geometry

  • Using the Coordinates
  • Slope
  • Coordinate Applications

Module 04 - Volume and Figures 

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

Module 05 - Trigonometry

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


Segment Two

Module 06 - Dividing and Solving Polynomials 

  • Polynomial Synthetic Division
  • Theorems of Algebra
  • Rational Root Theorem
  • Solving Polynomial Equations
  • Graphing Polynomial Functions
  • Polynomial Identities and Proofs

Module 07 - 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
  • Solving Rational Equations
  • Applications of Rational Equations

Module 08 - Exponential and Logarithmic Functions 

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

Module 09 - Sequences and Series

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

Module 10 - Statistics

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