Algebra 1

Video Summary

This video addresses various ways of factoring for Algebra I. Algebra I uses factoring perfect squares, factoring out a GCF, difference of perfect squares, and sum-product factoring. By the end of this video, teachers should understand why each method of factoring can be used.

Next Generation Standards Addressed

AI-A.SSE:1. Interpret expressions that represent a quantity in terms of its context.★

a.Write the standard form of a given polynomial and identify the terms, coefficients, degree, leading coefficient, and constant term.

b.Interpret expressions by viewing one or more of their parts as a single entity. e.g.Interpret P(1+r)n as the product of P and a factor not depending on P. Note: This standard is a fluency recommendation for Algebra I. Fluency in transforming expressions and chunking (seeing parts of an expression as a single object) is essential in factoring, completing the square, and other mindful algebraic calculations.(14)Recognize and use the structure of an expression to identify ways to rewrite it.(Shared standard with Algebra II) 

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 of rational expressions, to examining the end behavior of the corresponding rational function

Video Summary

This video addresses probability in Algebra I. We discuss two-way frequency tables and how to use them to find marginal probability, conditional probability, and joint probability in Algebra I standards. After this video, teachers should be able to use the vocabulary and formulas to solve statistical problems.

Next Generation Standards Addressed

AI-S.ID Summarize, represent, and interpret data on two categorical and quantitative variables.

5. Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.