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.