Integrated math 3

Polynomial Functions, Expressions, and Equations

Key Concepts:
- Definition and classification of polynomial functions
- Operations with polynomial expressions (addition, subtraction, multiplication)
- Factoring polynomials and solving polynomial equations
- The Fundamental Theorem of Algebra

Rational Functions, Expressions, and Equations

Key Concepts:
- Understanding rational functions and their characteristics
- Operations with rational expressions (simplifying, adding, subtracting)
- Solving rational equations and identifying asymptotes
- Graphing rational functions and understanding their behavior

Radical Functions, Expressions, and Equations

Key Concepts:
- Understanding radical expressions and their properties
- Operations with radical expressions (simplifying, adding, subtracting)
- Solving radical equations and identifying extraneous solutions
- Graphing radical functions and analyzing their characteristics

Methods for Reasoning with Geometry

Key Concepts:
- Deductive and inductive reasoning in geometric proofs
- Understanding and applying logical statements and properties
- Constructing formal geometric proofs for various theorems

Measurement and Modeling in Two and Three Dimensions

Key Concepts:
- Techniques for measuring length, area, and volume
- Applying geometric concepts to real-world modeling problems
- Exploring transformations and their effects on measurements

Exponential and Logarithmic Functions & Exponents

Key Concepts:
- Understanding exponential functions and their properties
- Introduction to logarithmic functions and their inverses
- Solving exponential and logarithmic equations
- Applications of exponential growth and decay models

Trigonometric Functions

Key Concepts:
- Definition and properties of trigonometric functions (sine, cosine, tangent)
- Unit circle and the relationship between angles and trigonometric values
- Solving right triangle problems using trigonometric ratios
- Graphing trigonometric functions and understanding their transformations

Statistics and Decision Making

Key Concepts:
- Collecting, analyzing, and interpreting statistical data
- Measures of central tendency and variability (mean, median, mode, range, standard deviation)
- Probability concepts and making informed decisions based on statistical data
- Using statistics to model real-world scenarios

Properties of Circles

Key Concepts:
- Understanding the components of circles (radius, diameter, circumference)
- Exploring angle relationships in circles (central angles, inscribed angles)
- Chords, arcs, and sectors: properties and calculations
- Applications of circle properties in problem-solving

Course Goals

Develop a deeper understanding of advanced algebraic and geometric concepts.
Strengthen skills in reasoning and problem-solving across various mathematical domains.
Apply mathematical knowledge to real-world situations and decision-making processes.

Assessment Methods

Quizzes and tests focused on each unit's content.
Projects that incorporate statistical analysis or geometric modeling.
A comprehensive final exam to assess cumulative understanding of course material.

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