Integrated Math III
Integrated Math is a math series running parallel to the traditional High School curriculum with its progression from Algebra I, Geometry, to Algebra II.
Integrated Math 3 presents a comprehensive collection of mathematical concepts designed to give students a deeper understanding of the world. It includes ideas from algebra, geometry, probability and statistics, and trigonometry, and teaches them as interrelated disciplines.
- Simplify polynomial and rational expressions.
- Perform addition, subtraction, multiplication, and division with rational expressions.
- Prove and use polynomial identities.
- Apply the Binomial Theorem.
- Find common denominators in rational expressions.
- Factor algebraic expressions.
- Use synthetic division to divide polynomials.
- Examine graphs of polynomial functions.
- Derive a formula for the sum of a finite geometric series.
- Examine trigonometric functions and their graphs.
- Use trigonometry to derive the formula for the area of a triangle.
- Prove and apply the laws of Sines and Cosines.
- Identify cross sections for various three-dimensional objects.
- Solve systems of equations and inequalities.
- Graph inequalities with restrictions on the variable.
- Graph systems of inequalities.
- Solve problems using exponential and logarithmic functions.
- Transform functions on a coordinate plane.
- Find the inverse of a function.
- Make inferences based on statistical data.
- Solve for probabilities in complex situations and use probability to make complex decisions.
- Analyze and compare statistical models and data-collection methods.
Prerequisite: Algebra 1 & Geometry/ or Integrated Math 1&2.