Algebra 2

Video Summary 

These videos address completing the square to factor a binomial. We use algebra tiles to show how to complete the square with a perfect square, with a remainder, and without a remainder. We then show how these examples can lead us to a general method for completing the square.

Next Generation Standards Addressed

AI-A.REI.4 Solve quadratic equations in one variable a. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x - p) ^2 = q that has the same solutions. Understand that the quadratic formula is a derivative of this process.

Video Summary 

This video addresses various ways of factoring for Algebra II standards. Algebra II factoring is taught by using the guess and check method, AC factoring, factoring by grouping, and using the box method. An important difference between Algebra I and II is that Algebra II uses factoring for leading coefficients other than one. By the end of this video, teachers should understand why each method of factoring can be used.

Next Generation Standards Addressed

AII-A.SSE Includes factoring by grouping and factoring the sum and difference of cubes.

•Tasks are limited to polynomial, rational, or exponential expressions. Quadratic expressions include leading coefficients other than 1.

•This standard is a fluency expectation for Algebra II. The ability to see structure in expressions and to use this structure to rewrite expressions is a key skill in everything from advanced factoring (e.g., grouping) to summing series, to rewriting rational expressions, to examining the end behavior of the corresponding rational function

Video Summary 

This video addresses probability for standards Algebra II. We complete various examples for finding independence and using the addition rule for Algebra II. This video uses many examples from various NYS Regents Exams. After this video, teachers should be able to use the vocabulary and formulas to solve statistical problems.

Next Generation Standards Addressed

AII-S.IC Make inferences and justify conclusions from sample surveys, experiments, and observational studies.

4.Given a simulation model based on a sample proportion or mean, construct the 95% interval centered on the statistic (+/- two standard deviations) and determine if a suggested parameter is plausible

AII-S.CP Understand independence and conditional probability and use them to interpret data.

1.Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”).

4.Interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and calculate conditional probabilities

AII-S.CP Use the rules of probability to compute probabilities of compound events in a uniform probability model.

7.Apply the Addition Rule, P(A or B) = P(A) + P(B)-P(A and B), and interpret the answer in terms of the model