1: Statistics

1.1: Use the concept of normal distribution and its properties to answer questions about sets of data.

Polling: City
Populations and Samples
Real-Time Histogram
Sight vs. Sound Reactions

1.2: Describe and use sampling distributions and the central limit theorem. Calculate confidence intervals when appropriate.

Polling: City
Populations and Samples

1.3: Understand the importance of appropriate sampling methods. For instance, the time of day of a survey could lead to inaccuracies in the outcome.

Polling: Neighborhood

2: Algebra

2.1: Solve systems of two, three or more simultaneous linear equations or inequalities, in particular, deciding whether a given system of equations has one solution, no solution or infinitely many solutions and, in this latter case, describing them parametrically.

Exploring Linear Inequalities in One Variable
Linear Inequalities in Two Variables
Linear Programming
Quadratic Inequalities
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Standard Form)
Systems of Linear Inequalities (Slope-intercept form)

2.2: Solve problems with quadratic functions and equations, where some of the coefficients may be expressed in terms of parameters.

Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Translating and Scaling Functions

2.3: Perform the four arithmetic operations with polynomials, except that division is restricted to division by monomials and linear binomials.

Addition and Subtraction of Functions
Dividing Polynomials Using Synthetic Division

2.4: Simplify a wide variety of algebraic expressions, including those in which numerator or denominator needs to be rationalized.

Dividing Exponential Expressions
Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Multiplying Exponential Expressions
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
Simplifying Radical Expressions

2.6: Know the numeric, graphic and symbolic properties of power, logarithmic and exponential functions.

Compound Interest
Exponential Functions
Introduction to Exponential Functions
Logarithmic Functions

2.8: Know the numeric, graphic and symbolic properties of rational functions.

General Form of a Rational Function

2.9: Solve a wide variety of mathematical and real-world problems involving rational functions, discard extraneous solutions and present results graphically.

General Form of a Rational Function
Rational Functions

2.10: Factor polynomials representing the difference of squares, perfect square trinomials and quadratics with rational factors.

Factoring Special Products

2.13: Add, subtract, multiply and divide complex numbers, interpret sums geometrically, and find complex solutions of quadratic equations.

Points in the Complex Plane
Roots of a Quadratic

2.14: Know and use the Factor and Remainder Theorems.

Dividing Polynomials Using Synthetic Division
Polynomials and Linear Factors

2.15: Find the inverse of a function and the composition of functions by numeric and symbolic methods. Know the relationship between the graphs of a function and its inverse.

Logarithmic Functions

2.16: Know and use formal notation for sequences and series to solve related problems.

Arithmetic Sequences
Geometric Sequences

3: Trigonometry & Geometry

3.1: Know the six trigonometric functions defined for an angle in a right triangle.

Cosine Function
Sine Function
Sine, Cosine, and Tangent Ratios
Sum and Difference Identities for Sine and Cosine
Tangent Function

3.3: Convert between degrees and radian measures.

Cosine Function
Sine Function
Tangent Function

3.6: Graph the functions of the form Asin (Bt + C), Acos (Bt + C), and Atan (Bt + C) and know the meaning of the terms frequency, amplitude, phase shift and period.

Cosine Function
Sine Function
Tangent Function
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions

3.7: Simplify trigonometric expressions using identities and verify simple trigonometric identities including sin squared x + cos squared x = 1, sum, difference, double angle and half-angle formulas for sine and cosine.

Simplifying Trigonometric Expressions
Sum and Difference Identities for Sine and Cosine