Standard 7: Solve and graph radical equations and functions in one and two variables.

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General Information
Number: MA.912.AR.7
Title: Solve and graph radical equations and functions in one and two variables.
Type: Standard
Subject: Mathematics (B.E.S.T.)
Grade: 912
Strand: Algebraic Reasoning

Related Benchmarks

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Access Points

MA.912.AR.7.AP.1
Solve one-variable radical equations and identify any extraneous solutions.
MA.912.AR.7.AP.2
Given a table, equation or written description of a square root or cube root function, select the graph that represents the function.
MA.912.AR.7.AP.3
Given a mathematical and/or real-world problem that is modeled with square root or cube root functions, solve the mathematical problem, or select the graph using key features (in terms of context) that represents this model.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

Formative Assessment

Graphing Root Functions:

Students are asked to graph two root functions and answer questions about the domain, maxima, and minima.

Type: Formative Assessment

Lesson Plan

Radical Mathematical:

In this lesson students will solve radical equations, showing how extraneous solutions may arise. Students will solve radical equations that model real-world relationships.

Type: Lesson Plan

Perspectives Video: Expert

Problem Solving with Project Constraints:

<p>It's important to stay inside the lines of your project constraints to finish in time and under budget. This NASA systems engineer explains how constraints can actually promote creativity and help him solve problems!</p>

Type: Perspectives Video: Expert

Problem-Solving Task

Radical Equations:

To engage this task meaningfully, students must be aware of the convention that the square root of "a" for a positive number "a" refers to the positive square root of "a". The purpose of this task is to show students a situation where squaring both sides of an equation can result in an equation with more solutions than the original one.

Type: Problem-Solving Task

Student Resources

Vetted resources students can use to learn the concepts and skills in this topic.

Perspectives Video: Expert

Problem Solving with Project Constraints:

<p>It's important to stay inside the lines of your project constraints to finish in time and under budget. This NASA systems engineer explains how constraints can actually promote creativity and help him solve problems!</p>

Type: Perspectives Video: Expert

Problem-Solving Task

Radical Equations:

To engage this task meaningfully, students must be aware of the convention that the square root of "a" for a positive number "a" refers to the positive square root of "a". The purpose of this task is to show students a situation where squaring both sides of an equation can result in an equation with more solutions than the original one.

Type: Problem-Solving Task

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this topic.

Perspectives Video: Expert

Problem Solving with Project Constraints:

<p>It's important to stay inside the lines of your project constraints to finish in time and under budget. This NASA systems engineer explains how constraints can actually promote creativity and help him solve problems!</p>

Type: Perspectives Video: Expert

Problem-Solving Task

Radical Equations:

To engage this task meaningfully, students must be aware of the convention that the square root of "a" for a positive number "a" refers to the positive square root of "a". The purpose of this task is to show students a situation where squaring both sides of an equation can result in an equation with more solutions than the original one.

Type: Problem-Solving Task