# Integrated Math II

## 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 2 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 expressions with rational exponents and radicals.****Perform addition, subtraction, multiplication, and division with monomial, binomial, and other****polynomial expressions.****Rewrite formulas to solve problems with variables.****Factorize polynomial expressions.****Solve quadratic equations using a variety of techniques.****Use quadratic equations to solve word problems.****Solve inequalities.****Plot complex numbers in the complex number plane.****Perform operations with complex numbers.****Solve quadratic equations with complex solutions.****Analyze polynomial functions.****Calculate and interpret the rate of change for functions.**

**Semester B:**

**Solve systems of linear-quadratic equations algebraically and graphically.****Investigate attributes of the graph of a parabola.****Graph piecewise and absolute value functions.****Relate domain to a function based on the given context.****Find and analyze the inverse of a function.****Write proofs for various theorems and apply them in geometric relationships.****Prove similarity and congruence in two geometric figures.****Use trigonometric ratios and identities to solve problems involving right triangles.****Write and apply volume formulas.****Derive the equations of circles and parabolas.****Divide a line segment in a given ratio.****Describe relationships among inscribed angles, radii, and chords within a circle.****Make constructions related to circles.****Relate length of the arc intercepted by an angle to the radius of the circle.****Derive the formula for the area of a sector.****Apply the Addition and Multiplication Rules for probability.****Distinguish between dependent events and independent events.****Use counting techniques to compute probabilities for various permutations and****combinations of events and to make fair decisions.****Use a two-way frequency table and find conditional probability of events in a sample space.****Interpret conditional probability of events.**

**Prerequisite: Algebra 1 or Integrated Math 1.**