Math II (High School Integrated) Study Guide and Exam Prep by Top Student

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Concepts Covered*:

Extending the Number System
- Use properties of rational and irrational numbers
- Perform arithmetic operations with complex numbers
- Perform arithmetic operations on polynomials

Quadratic Functions and Modeling
- Interpret functions that arise in applications in terms of a context
- Analyze functions using different representations
- Build a function that models a relationship between two quantities
- Build new functions from existing functions
- Construct and compare linear, quadratic, and exponential models and solve problems

Expressions and Equations
- Interpret the structure of expressions
- Write expressions in equivalent forms to solve problems
- Create equations that describe numbers or relationships
- Solve equations and inequalities in one variable
- Use complex numbers in polynomial identities and equations
- Solve systems of equations

Applications of Probability
- Understand independence and conditional probability and use them to interpret data
- Use the rules of probability to compute probabilites of compound events in a uniform probability model
- Use probability to evaluate outcomes of decisions

Similarity, Right Triangle Trigonometry, and Proof
- Understand similarity in terms of similarity transformations
- Prove geometric theorems
- Prove theorems involving similarity
- Define trigonometric ratios and solve problems involving right triangles
- Prove and apply trigonometric identities

Circles With and Without Coordinates
- Understand and apply theorems about circles
- Find arc lengths and areas of sectors of circles
- Translate between the geometric description and the equation for a conic section
- Use coordinates to prove simple geometric theorems algebraically
- Explain volume formulas and use them to solve problems

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~ Section-level practice quizzes that give you 6-question slices of a specific learning section. Each section has multiple quizzes available, and no two are the same.

~ Detailed solutions accompany every practice question. This way, you learn not only what you got incorrect, but how to solve those problems next time.

~ Over 300 remedial lessons accompany every Top Student course, and they are linked directly from the practice questions for even further help.

~ Includes built-in study notes as well as flashcard creation and review.

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*Common Core concepts listed. Some states may or may not cover these concepts in this order. Top Student also contains region-specific content for states not aligned to the Common Core.