## Mathematics Standards

## Results

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**1**-**10**of**72**Standards#### Standard Identifier: A-REI.1

Grade Range:

**7–12**
Domain:

**Reasoning with Equations and Inequalities**
Discipline:

**Algebra I**
Conceptual Category:

**Algebra****Cluster**:

Understand solving equations as a process of reasoning and explain the reasoning. [Master linear; learn as general principle.]

**Standard**:

Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

#### Standard Identifier: A-REI.1

Grade Range:

**7–12**
Domain:

**Reasoning with Equations and Inequalities**
Discipline:

**Math I**
Conceptual Category:

**Algebra****Cluster**:

Understand solving equations as a process of reasoning and explain the reasoning. [Master linear; learn as general principle.]

**Standard**:

Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

#### Standard Identifier: A-REI.10

Grade Range:

**7–12**
Domain:

**Reasoning with Equations and Inequalities**
Discipline:

**Math I**
Conceptual Category:

**Algebra****Cluster**:

Represent and solve equations and inequalities graphically. [Linear and exponential; learn as general principle.]

**Standard**:

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

#### Standard Identifier: A-REI.10

Grade Range:

**7–12**
Domain:

**Reasoning with Equations and Inequalities**
Discipline:

**Algebra I**
Conceptual Category:

**Algebra****Cluster**:

Represent and solve equations and inequalities graphically. [Linear and exponential; learn as general principle.]

**Standard**:

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

#### Standard Identifier: A-REI.11

Grade Range:

**7–12**
Domain:

**Reasoning with Equations and Inequalities**
Discipline:

**Algebra I**
Conceptual Category:

**Algebra****Cluster**:

Represent and solve equations and inequalities graphically. [Linear and exponential; learn as general principle.]

**Standard**:

Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions. *

#### Standard Identifier: A-REI.11

Grade Range:

**7–12**
Domain:

**Reasoning with Equations and Inequalities**
Discipline:

**Math I**
Conceptual Category:

**Algebra****Cluster**:

Represent and solve equations and inequalities graphically. [Linear and exponential; learn as general principle.]

**Standard**:

Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions. *

#### Standard Identifier: A-REI.12

Grade Range:

**7–12**
Domain:

**Reasoning with Equations and Inequalities**
Discipline:

**Math I**
Conceptual Category:

**Algebra****Cluster**:

Represent and solve equations and inequalities graphically. [Linear and exponential; learn as general principle.]

**Standard**:

Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

#### Standard Identifier: A-REI.12

Grade Range:

**7–12**
Domain:

**Reasoning with Equations and Inequalities**
Discipline:

**Algebra I**
Conceptual Category:

**Algebra****Cluster**:

Represent and solve equations and inequalities graphically. [Linear and exponential; learn as general principle.]

**Standard**:

Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

#### Standard Identifier: A-REI.3

Grade Range:

**7–12**
Domain:

**Reasoning with Equations and Inequalities**
Discipline:

**Algebra I**
Conceptual Category:

**Algebra****Cluster**:

Solve equations and inequalities in one variable. [Linear inequalities; literal equations that are linear in the variables being solved for; quadratics with real solutions]

**Standard**:

Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

#### Standard Identifier: A-REI.3

Grade Range:

**7–12**
Domain:

**Reasoning with Equations and Inequalities**
Discipline:

**Math I**
Conceptual Category:

**Algebra****Cluster**:

Solve equations and inequalities in one variable.

**Standard**:

Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. [Linear inequalities; literal equations that are linear in the variables being solved for; exponential of a form, such as 2^x = 1/16.]

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**1**-**10**of**72**Standards
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