# Integrated Math III

## Description

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.

Semester A:

• 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.

Semester B:

• 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.

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