This advanced course integrates polynomial functions, exponential and logarithmic relationships, conic sections, advanced trigonometry, and statistical inference, preparing students for calculus and higher mathematics.
Prerequisites
Integrated Math II
Students should have successfully completed Integrated Math II and demonstrated mastery of quadratic functions, geometric proof, and probability.
Learning Objectives
- Analyze and graph polynomial, exponential, logarithmic, and rational functions
- Master complex numbers and advanced algebraic techniques
- Apply trigonometry to various contexts including non-right triangles
- Understand statistical inference, probability, and series
Course Structure
Integrated Math III consists of 14 comprehensive units covering advanced functions, trigonometry, conic sections, and statistical inference to prepare students for college-level mathematics.
Course Highlights
Advanced Functions
Master polynomial, rational, radical, exponential, and logarithmic functions with complex applications and transformations.
Trigonometry
Explore trigonometric functions, identities, equations, and applications including the unit circle and radian measure.
Statistical Inference
Learn sampling distributions, confidence intervals, hypothesis testing, and regression analysis for data-driven decision making.
Integrated Approach
Math III synthesizes knowledge from previous courses while introducing advanced topics that bridge high school and college mathematics, preparing students for STEM fields and beyond.
Units 1-6
Advanced Functions
- • Polynomial Functions
- • Rational & Radical
- • Exponential & Logarithmic
Units 7-11
Trigonometry & Geometry
- • Trig Functions & Identities
- • Applications & Modeling
- • Conic Sections
Units 12-14
Advanced Statistics
- • Sampling & Inference
- • Hypothesis Testing
- • Regression Analysis
Skills You'll Master
Units
Advanced mathematical topics and applications
Function Types
From polynomials to trigonometric functions
Numbers
Operations and applications in algebra
Ready
Prepared for university-level mathematics
College & Career Preparation
Integrated Math III provides the mathematical foundation needed for success in:
College Courses
- • Calculus
- • Statistics
- • Linear Algebra
- • Discrete Mathematics
- • Physics & Engineering
Career Paths
- • STEM Fields
- • Data Science
- • Engineering
- • Computer Science
- • Economics & Finance
Advanced Topics
Complex Numbers & Operations
Explore the complex number system, including operations, graphing on the complex plane, and applications to polynomial equations.
Conic Sections
Study circles, ellipses, parabolas, and hyperbolas through algebraic and geometric lenses, including real-world applications.
Statistical Inference
Master sampling distributions, confidence intervals, hypothesis testing, and linear regression for data-driven insights.
Trigonometric Modeling
Apply trigonometric functions to model periodic phenomena, solve triangles, and understand wave behavior in real contexts.
Complete Your Journey
Upon completing Integrated Math III, students will have a comprehensive mathematical foundation ready for college calculus, statistics, and STEM courses. Review earlier courses or explore additional resources to continue building your mathematical expertise.