Integrated Math III

Course Overview

• Overview of Integrated Math III: Building on Integrated Math I and II Knowledge
  

• Introduction to More Complex Functions and Trigonometry
  

• Real-World Applications in Advanced Mathematics
  

• Preparing for College-Level Mathematics and Careers that Rely on Advanced Math Skills

Advanced Algebra & Functions

• Rational Expressions and Equations: In-Depth Study
  

• Polynomial Long Division and Synthetic Division
  

• Roots of Polynomial Equations and the Fundamental Theorem of Algebra
  

• Rational and Radical Functions: Domain, Range, Asymptotes, and Graphing
  

• Inverse Functions: Definition, Finding Inverses, and Graphing
  

• Logarithmic and Exponential Equations: Solving and Graphing

Trigonometry

• Trigonometric Ratios: Sine, Cosine, Tangent, and Their Applications
  

• Unit Circle: Understanding Angles and Trigonometric Functions
  

• Graphing Trigonometric Functions: Sine, Cosine, Tangent, and Secant
  

• Trigonometric Identities: Pythagorean, Reciprocal, and Co-Function Identities
  

• Solving Trigonometric Equations
  

• Law of Sines and Cosines for Solving Triangles

Advanced Geometry & Proofs

• Geometric Constructions: Using Compass and Straightedge
  

• Conic Sections: Circles, Parabolas, Ellipses, and Hyperbolas
  

• Properties of Parabolas and their Graphs
  

• Proofs in Geometry: Advanced Theorems, Properties of Circles, and Parabolas
  

• Volume and Surface Area of 3D Figures
  

• Applications of Geometry in Real Life: Architecture, Engineering, and Nature

Sequences & Series

• Arithmetic and Geometric Sequences and Series
  

• Sum of an Arithmetic Series and Geometric Series
  

• Recursive Functions: Understanding and Writing Recursive Formulas
  

• Applications of Sequences and Series in Real-World Problems