Duration
10 Months
Prerequisites
None
Requirements
None
Course Summary
Mathematics II focuses on solving quadratic equations and comparing quadratic, linear, and exponential relationships. You'll study theorems about lines, angles, and triangles, as well as trigonometry, similarity of polygons, and properties of circles. The course also covers nonrigid transformations, probability, and counting methods for decision-making.
Determine the sums, differences, and products of polynomials.
Apply factoring techniques and distribution to rewrite quadratic expressions.
Rewrite and simplify expressions with radicals and rational exponents.
Solve quadratic equations in one variable by inspection, taking square roots, factoring, completing the square, and using the quadratic formula.
Graph and transform quadratic functions on the coordinate plane.
Solve systems of linear and quadratic equations graphically and algebraically.
Identify and apply a quadratic data model to make predictions and solve problems.
Write and apply exponential functions to model situations in the real world.
Identify and analyze key features of piecewise and absolute value functions.
Prove geometric theorems using a variety of proof methods.
Describe similarity in terms of similarity transformations. Prove theorems involving congruence and similarity.
Prove the converse of the Pythagorean theorem.
Apply right triangle relationships to solve problems. Prove and apply circle properties and relationships.
Construct inscribed and circumscribed circles and tangent lines. Derive the equation of a circle or a parabola on the coordinate plane.
Measure and describe plane and solid figures using perimeter, area, surface area, and volume.
Calculate probabilities, and apply probability concepts to establish independence and make decisions.
Construct and analyze fair decisions and strategies based on probability concepts and methods.
In Mathematics II, students build subject knowledge through structured online lessons, guided practice, and regular feedback from qualified teachers. The course supports flexible study while maintaining clear academic expectations and steady progress.
Students can revisit learning materials, complete assignments at a manageable pace, and use teacher guidance to strengthen understanding. Families can follow progress while learners develop organization, independent study habits, and confidence.