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 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...

 Algebra I Module 3: Linear and Exponential Functions In earlier grades, students define, evaluate, and compare functions and use them to model relationships between quantities. In this module,...

 Student Outcomes Students define appropriate quantities from a situation (a “graphing story”), choose and interpret the scale and the origin for the graph, and graph the piecewise linear function...

 Algebra I Module 4: Polynomial and Quadratic Expressions, Equations, and Functions In earlier modules, students analyze the process of solving equations and developing fluency in writing,...

 In Topic A, students explore the main functions that they will work with in Grade 9: linear, quadratic, and exponential. The goal is to introduce students to these functions by having them make...

 Student Outcomes Students represent graphically a nonlinear relationship between two quantities and interpret features of the graph. They will understand the relationship between physical quantities...

 Student Outcomes Students use the structure of an expression to identify ways to rewrite it. Students use the distributive property to prove equivalency of expressions.

 Algebra I Module 5: A Synthesis of Modeling with Equations and Functions In Module 5, students synthesize what they have learned during the year about functions to select the correct function type in...

 Throughout middle school, students practice the process of solving linear equations (6.EE.5, 6.EE.7, 7.EE.4, 8.EE.7) and systems of linear equations (8.EE.8). Now, in Topic C, instead of just...

 Student Outcomes Students choose and interpret the scale on a graph to appropriately represent an exponential function. Students plot points representing number of bacteria over time, given that...

 In middle school, students applied the properties of operations to add, subtract, factor, and expand expressions (6.EE.3, 6.EE.4, 7.EE.1, 8.EE.1). Now, in Topic B, students use the structure of...

 Student Outcomes Students interpret the meaning of the point of intersection of two graphs and use analytic tools to find its coordinates.

 Student Outcomes Students use the commutative and associative properties to recognize structure within expressions and to prove equivalency of expressions.

 Student Outcomes Students understand that the sum or difference of two polynomials produces another polynomial and relate polynomials to the system of integers; students add and subtract polynomials...

 Student Outcomes Students develop the tools necessary to discern units for quantities in realworld situations and choose levels of accuracy appropriate to limitations on measurement. They refine...

 Student Outcomes Students understand that the product of two polynomials produces another polynomial; students multiply polynomials.

 Student Outcomes Students understand that an equation with variables is often viewed as a question asking for the set of values one can assign to the variables of the equation to make the equation a...

 Student Outcomes Students are introduced to the formal process of solving an equation: starting from the assumption that the original equation has a solution. Students explain each step as following...

 Student Outcomes Students use the distributive property to multiply a monomial by a polynomial and understand that factoring reverses the multiplication process. Students use polynomial expressions...

 Topic A introduces polynomial expressions. In Module 1, students learned the definition of a polynomial and how to add, subtract, and multiply polynomials. Here, their work with multiplication is...

 Student Outcomes Students learn “ifthen” moves using the properties of equality to solve equations. Students also explore moves that may result in an equation having more solutions than the...

 Student Outcomes Students learn ifthen moves using the addition and multiplication properties of inequality to solve inequalities and graph the solution sets on the number line.

 Student Outcomes Students describe the solution set of two equations (or inequalities) joined by either “and” or “or” and graph the solution set on the number line.

 Student Outcomes Students solve two inequalities joined by “and” or “or,” then graph the solution set on the number line.