Algebra I Module 1: Relationships Between Quantities and Reasoning with Equations and Their Graphs

In this module students analyze and explain precisely the process of solving an equation. Through repeated reasoning, students develop fluency in writing, interpreting, and translating between various forms of linear equations and inequalities and make conjectures about the form that a linear equation might take in a solution to a problem. They reason abstractly and quantitatively by choosing and interpreting units in the context of creating equations in two variables to represent relationships between quantities. They master the solution of linear equations and apply related solution techniques and the properties of exponents to the creation and solution of simple exponential equations. They learn the terminology specific to polynomials and understand that polynomials form a system analogous to the integers.   (excerpt taken from NYS Engage website)

NYS Engage Module 1 - link to all things related to Module 1, provided by NYS

Study Guides 

Commutative, Associative and Distributive Properties  http://www.mathsisfun.com/associative-commutative-distributive.html

Naming Polynomials by degree and terms   http://www.mathsisfun.com/algebra/degree-expression.html

Adding and Subtracting Polynomials    http://www.mathsisfun.com/algebra/polynomials-adding-subtracting.html

Multiplying Polynomials   http://www.mathsisfun.com/algebra/polynomials-multiplying.html

Linear Equations   http://www.mathsisfun.com/algebra/linear-equations.html

Equation of a Straight Line (Slope and Y-intercept)  http://www.mathsisfun.com/equation_of_line.html

Solving Inequalities     http://www.mathsisfun.com/algebra/inequality-solving.html

Solving Inequality Word Problems   http://www.mathsisfun.com/algebra/inequality-questions-solving.html

Graphing Linear Inequalities   http://www.mathsisfun.com/algebra/graphing-linear-inequalities.html

Solving Systems of Linear Equations (Graphing, Substitution, Elimination)  http://www.mathsisfun.com/algebra/systems-linear-equations.html