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Common Core: Standard
Common Core: ELA
Common Core: Math
Subject: High School Algebra
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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,...

 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,...

 Student Outcomes Students understand that an equation is a statement of equality between two expressions. When values are substituted for the variables in an equation, the equation is either true or...

 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 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.

 Student Outcomes Students learn that equations of the form (x  a)(x  b) = 0 have the same solution set as two equations joined by “or:” x  a = 0 or x  b = 0. Students solve factored or easily...

 Student Outcomes Students interpret equations like 1/x = 3 as two equations “1/x = 3 ” and “x ≠ 0 ” joined by “and.” Students find the solution set for this new system of equations.

 Student Outcomes Students recognize and identify solutions to twovariable equations. They represent the solution set graphically. They create two variable equations to represent a situation. They...

 Student Outcomes Students recognize and identify solutions to twovariable inequalities. They represent the solution set graphically. They create two variable inequalities to represent a situation...

 Student Outcomes Students identify solutions to simultaneous equations or inequalities; they solve systems of linear equations and inequalities either algebraically or graphically.

 Student Outcomes Students create systems of equations that have the same solution set as a given system. Students understand that adding a multiple of one equation to another creates a new system of...

 Student Outcomes Students use systems of equations or inequalities to solve contextual problems and interpret solutions within a particular context.

 Student Outcomes Students investigate a problem that can be solved by reasoning quantitatively and by creating equations in one variable. They compare the numerical approach to the algebraic approach...

 Student Outcomes Students discover that the multistep and exact way of solving 2x  5 = 3x + 1 using algebra can sometimes be avoided by recognizing that an equation of the form f(x) = g(x) can...

 Student Outcomes Students use appropriate and efficient strategies to find solutions to basic quadratic equations. Students interpret the verbal description of a problem and its solutions in context...

 Student Outcomes Students rewrite quadratic expressions given in standard form, ax2 + bx + c (with a = 1), in the equivalent completedsquare form, a(x  h)2 + k, and recognize cases for which...

 Student Outcomes Students rewrite quadratic expressions given in standard form, ax2 + bx + c (with a ≠ 1), as equivalent expressions in completed square form, a(x  h)2 + k. They build quadratic...

 Student Outcomes Students solve complex quadratic equations, including those with a leading coefficient other than 1, by completing the square. Some solutions may be irrational. Students draw...

 Student Outcomes Students derive the quadratic formula by completing the square for a general quadratic equation in standard form, ax2 + bx + c = 0, and use it to verify the solutions for equations...