Integrated Math II
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.
- 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.
- 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.