Algebra II Missouri Learning Standards*
Video: Factoring Polynomials – By GCF, Grouping, Substitution, Sum and Difference of Squares (and Completing the Square) (45:42 mins)
Video: Exponents and Powers of Zero Patterns (6:55 mins)
Video: Logarithms Review (1:20:05 mins)
Number and Quantity
Video: Imaginary Numbers Explained (27:13 mins)
Video: Adding Complex Numbers (1:11 mins)
Video: Subtracting Complex Numbers (1:52 mins)
Video: Multiplying Complex Numbers (5:31 mins)
Video: Dividing Complex Numbers (4:57 mins)
Video: Fundamental Theorem of Algebra (“Descarte’s Rule of Signs”) (5:33 mins)
Video: Possible number of real roots (3:45 mins)
Video: How To Find All Real and Imaginary Solutions or Zeros of Polynomial Functions (33:19 mins)

Extend the system of powers and roots to include rational exponents.

Create and recognize equivalent expressions involving radical and exponential forms of expressions.

Add, subtract, multiply and divide radical expressions.

Solve equations involving rational exponents and/or radicals and identify situations where extraneous solutions may result.

Represent complex numbers.

Add, subtract, multiply and divide complex numbers.

Know and apply the Fundamental Theorem of Algebra
Seeing Structure in Expressions
Video: Logarithms (7:01 mins)
Video: Introduction to Logarithmic Properties – Part 1 (9:15 mins)
Video: Introduction to Logarithmic Properties – Part 2 (10:04 mins)
Video: Proof: log a + log b = log ab (7:08 mins)
Video: Proof: a log b = log(b^a), log a – log b = log(a/b) (7:58 mins)
Video: Fancier Logarithm Expressions (4:19 mins)
Video: Graphing Logarithmic Functions (9:09 mins)
Video: Solving Exponential Equations with Different Bases Using Logarithms (10:51 mins)

Develop the definition of logarithms based on properties of exponents.

Use the inverse relationship between exponents and logarithms to solve exponential and logarithmic equations.

Use properties of logarithms to solve equations or find equivalent expressions.

Understand why logarithmic scales are used, and use them to solve problems.
Reasoning with Equations and Inequalities
Video: Absolute value equations (10:40 mins)
Video: Absolute value inequalities (13:12 mins)
Video: Solving Absolute Value Equations and Inequalities – Number Line & Interval Notation (13:12 mins)
Video: Special Types of Linear Systems (15:17 mins)

Create and solve equations and inequalities, including those that involve absolute value.

Solve rational equations where numerators and denominators are polynomials and where extraneous solutions may result.

Create and solve systems of equations that may include nolinear equations and inequalitities.
Arithmetic with Polynomials and Rational Expressions
Video: Adding and subtracting polynomials (1:43 mins)
Video: More examples of addition and subtraction of polynomials (15:59 mins)
Video: Multiplying binomials and polynomials (9:49 mins)
Video: Factoring special products (10:08 mins)
Video: More examples of factoring quadratics with a leading coefficient of 1 (16:29 mins)
Video: Factoring trinomials with a non1 leading coefficient by grouping (5:38 mins)
Video: More examples of factoring by grouping (13:56 mins)
Video: Polynomial Equations in Factored Form (9:28 mins)
Video: Simplifying rational expressions introduction (15:22 mins)
Video: Adding and subtracting rational expressions (8:14 mins)
Video: Adding Rational Expressions Example 1 (3:46 mins)
Video: Adding Rational Expressions Example 2 (6:39 mins)
Video: Solving Rational Equations (12:56 mins)
Video: Solving rational equations 1 (4:12 mins)
Video: Solving rational equations 2 (4:07 mins)
Video: Solving rational equations 3 (4:31 mins)
Video: Extraneous solutions to rational equations (3:02 mins)
Video: Extraneous solutions of radical equations (5:22 mins)
Video: Applying rational equations 1 (Work and Rate Problems) (5:25 mins)
Video: Applying rational equations 2 (Work and Rate Problems) (5:59 mins)
Video: Applying rational equations 3 (Work and Rate Problems) (7:58 mins)
Video: Rate Problem Involving Rational Equations (7:30 mins)
Video: Another Take on the Rate Problem (3:34 mins)
Video: Polynomial division (12:08 mins)
Video: Dividing polynomials 1 (3:19 mins)
Video: Dividing polynomials with remainders (6:22 mins)
Video: Polynomial remainder theorem (6:42 mins)
Video: Polynomial remainder theorem proof (5:41 mins)
Video: Polynomial remainder theorem example (3:31 mins)
Video: Polynomial remainder theorem to test factor (3:25 mins)
Video: Synthetic division (5:20 mins)
Video: Synthetic division example 2 (4:59 mins)
Video: Constructing a polynomial that has a certain factor (3:38 mins)
Video: Fundamental theorem of algebra (5:33 mins)
Video: Finding zeros of polynomials (1 of 2) (9:08 mins)
Video: Finding zeros of polynomials (2 of 2) (2:59 mins)
Video: Finding zeros of polynomials (example 2) (6:44 mins)

Extend the knowledge of factoring to include factors with complex coefficients.

Understand the Remainder Theorem and use it to solve problems.

Find the least common multiple of two or more polynomials.

Add, subtract, multiply and divide rational expressions.

Identify zeros of polynomials when suitable factorizations are available, and use the zeros to sketch the function defined by the polynomial.
Interpreting Functions
Video: Polynomial Functions Graphing – Multiplicity, End Behavior, Finding Zeros (28:53 mins)
Video: How To Find All Real and Imaginary Solutions or Zeros of Polynomial Functions (33:19 mins)
Video: Matching rational functions to their graphs (6:06 mins)
Video: Asymptotes of rational functions (21:05 mins)
Video: Another rational function graph example (8:19 mins)
Video: A third example of graphing a rational function (11:30 mins)
Video: Finding horizontal and vertical asymptotes (11:21 mins)

Identify and interpret key characteristics of functions represented graphically, with tables and with algebraic symbolism to solve problems.

Translate between equivalent forms of functions
Building Functions
Video: Introduction to function composition (6:14 mins)
Video: Creating new function from composition (2:56 mins)
Video: Evaluating composite functions (4:10 mins)
Video: Evaluating composite function using graphs (3:01 mins)
Video: Evaluating composite functions using tables (4:09 mins)
Video: Introduction to function inverses (9:05 mins)
Video: Understanding inverse functions (6:18 mins)
Video: Verifying function inverses example (6:40 mins)
Video: Example of functions that are not inverses (4:11 mins)

Create new functions by applying the four arithmetic operations and composition of functions (modifying the domain and range as necessary).

Derive inverses of functions, and compose the inverse with the original function to show that the functions are inverses.

Describe the effects of transformations algebraically and graphically, creating vertical and horizontal translations, vertical and horizontal reflections.
Modeling
Video: Modeling with function composition (4:14 mins)
Video: Modeling with combined functions (3:07 mins)

Create functions and use them to solve applications of quadratic and exponential function model problems.
Data and Statistical Analysis
Video: Introduction to the normal distribution (26.23 mins)
Video: Population standard deviation (8:04 mins)
Video: Range, variance and standard deviation as measures of dispersion (12:33 mins)
Video: Sampling distribution example problem (14:27 mins)
Video: Comparing models to fit data (4:04 mins)
Video: Inferring population mean from sample mean (10:02 mins)
Video: Zstatistics vs. Tstatistics (6:38 mins)
Video: Margin of error 1 (15:01 mins)
Video: Margin of error 2 (10:04 mins)
Video: Probability explained (8:17 mins)
Video: Free throwing probability (7:04 mins)
Video: Three pointer vs free throwing probability (5:46 mins)
Video: Coin flipping probability (9:19 mins)
Video: Exactly three heads in five flips (6:51 mins)
Video: Mega millions jackpot probability (5:29 mins)
Video: Birthday probability problem (13:16 mins)
Video: Test taking probability and independent events (4:43 mins)
Video: Dependent probability introduction (6:37 mins)
Video: Dependent probability example (9:00 mins)
Video: Probability without equally likely events (8:57 mins)
Video: Compound probability of independent events (5:59 mins)
Video: Introduction to combinations (6:17 mins)
Video: Combination formula (11:16 mins)
Video: Probability using combinations (9:09 mins)

Analyze how random sampling could be used to make inferences about population parameters.

Determine whether a specified model is consistent with a given data set.

Describe and explain the purposes, relationship to randomization and differences among sample surveys, experiments and observational studies.

Use data from a sample to estimate characteristics of the population and recognize the meaning of the margin of error in these estimates.

Describe and explain how the relative sizes of a sample and the population affect the margin of error of predictions.

Analyze decisions and strategies using probability concepts.

Evaluate reports based on data.

Know and use the characteristics of normally distributed data sets; predict what percentage of the data will be above or below a given value that is a multiple of standard deviations above or below the mean.

Fit a data set to a distribution using its mean and standard deviation to determine whether the data is approximately normally distributed.