Math II

Math II Is a complicated class because of its focus on the inner-workings of functions, more complicated function types like quadratics and square roots, and its introduction to trigonometry. Passing Math 2 requires a high level of effort, focus, and rigor. However, I have seen already that all of my students are able to pass Math 2. A good mindset can do a lot for you. By the end of the year, you will be proficient in the following skills:

Number and Quantity

The Real Number System

• Extend the properties of exponents to rational exponents.

• Use properties of rational and irrational numbers

The Complex Number Systems

• Perform arithmetic operations with complex numbers.

• Use complex numbers in polynomial identities and equations.

Algebra

Seeing Structure in Expressions

• Interpret the structure of expressions.

• Write expressions in equivalent forms to solve problems.

Arithmetic with Polynomials and Rational Expressions

• Perform arithmetic operations on polynomials.

Creating Equations

• Create equations that describe numbers or relationships.

Reasoning with Equations and Inequalities

• Solve equations and inequalities in one variable.

• Solve systems of equations.

Functions

Interpreting Functions

• Interpret functions that arise in applications in terms of the context.

• Analyze functions using different representations.

Building Functions

• Build a function that models a relationship between two quantities.

• Build new functions from existing functions.

Linear, Quadratic, and Exponential Models

• Construct and compare linear, quadratic, and exponential models and solve problems.

• Interpret expressions for functions in terms of the situation they model.

Trigonometric Functions

• Prove and apply trigonometric identities.

Geometry

Congruence

• Prove geometric theorems

Similarity, Right Triangles, and Trigonometry

• Understand similarity in terms of similarity transformations.

• Prove theorems involving similarity.

• Define trigonometric ratios and solve problems involving right triangles.

Circles

• Understand and apply theorems about circles.

• Find arc lengths and areas of sectors of circles.

Statistics & Probability

Conditional Probability and the Rules of Probability

• Understand independence and conditional probability and use them to interpret data.

• Use the rules of probability to compute probabilities of compound events in a uniform probability model.

Using Probability to Make Decisions

• Use probability to evaluate outcomes of decisions