## Mathematics Standards

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Expressions and Equations
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Measurement and Data
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Reasoning with Equations and Inequalities
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Similarity, Right Triangles, and Trigonometry
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The Real Number System

## Results

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**1**-**5**of**5**Standards#### Standard Identifier: A-REI.11

Grade Range:

**9–12**
Domain:

**Reasoning with Equations and Inequalities**
Discipline:

**Math III**
Conceptual Category:

**Algebra****Cluster**:

Represent and solve equations and inequalities graphically. [Combine polynomial, rational, radical, absolute value, and exponential functions.]

**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.2

Grade Range:

**9–12**
Domain:

**Reasoning with Equations and Inequalities**
Discipline:

**Math III**
Conceptual Category:

**Algebra****Cluster**:

Understand solving equations as a process of reasoning and explain the reasoning. [Simple radical and rational]

**Standard**:

Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.

#### Standard Identifier: G-SRT.10

Grade Range:

**9–12**
Domain:

**Similarity, Right Triangles, and Trigonometry**
Discipline:

**Math III**
Conceptual Category:

**Geometry****Cluster**:

Apply trigonometry to general triangles.

**Standard**:

(+) Prove the Laws of Sines and Cosines and use them to solve problems.

#### Standard Identifier: G-SRT.11

Grade Range:

**9–12**
Domain:

**Similarity, Right Triangles, and Trigonometry**
Discipline:

**Math III**
Conceptual Category:

**Geometry****Cluster**:

Apply trigonometry to general triangles.

**Standard**:

(+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).

#### Standard Identifier: G-SRT.9

Grade Range:

**9–12**
Domain:

**Similarity, Right Triangles, and Trigonometry**
Discipline:

**Math III**
Conceptual Category:

**Geometry****Cluster**:

Apply trigonometry to general triangles.

**Standard**:

(+) Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.

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