Standard 4 : Write, solve and graph absolute value equations, functions and inequalities in one and two variables.



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General Information

Number: MA.912.AR.4
Title: Write, solve and graph absolute value equations, functions and inequalities 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
Code Description
MA.912.AR.4.1: Given a mathematical or real-world context, write and solve one-variable absolute value equations.
MA.912.AR.4.2: Given a mathematical or real-world context, write and solve one-variable absolute value inequalities. Represent solutions algebraically or graphically.
MA.912.AR.4.3: Given a table, equation or written description of an absolute value function, graph that function and determine its key features.
Clarifications:
Clarification 1: Key features are limited to domain; range; intercepts; intervals where the function is increasing, decreasing, positive or negative; vertex; end behavior and symmetry. 

Clarification 2: Instruction includes representing the domain and range with inequality notation, interval notation or set-builder notation.

Clarification 3: Within the Algebra 1 course, notations for domain and range are limited to inequality and set-builder.

MA.912.AR.4.4: Solve and graph mathematical and real-world problems that are modeled with absolute value functions. Interpret key features and determine constraints in terms of the context.
Clarifications:
Clarification 1: Key features are limited to domain; range; intercepts; intervals where the function is increasing, decreasing, positive or negative; vertex; end behavior and symmetry.

Clarification 2: Instruction includes representing the domain, range and constraints with inequality notation, interval notation or set-builder notation.



Related Access Points

This cluster includes the following access points.

Access Points

Access Point Number Access Point Title
MA.912.AR.4.AP.1: Solve a one variable absolute value equation.
MA.912.AR.4.AP.2: Solve a one-variable absolute value inequality. Represent solutions algebraically or graphically.
MA.912.AR.4.AP.3: Given a table, equation or written description of an absolute value function, select the graph that represents the function.
MA.912.AR.4.AP.4: Given a mathematical and/or real-world problem that is modeled with absolute value 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 Assessments

Name Description
Writing Absolute Value Inequalities:

Students are asked to write absolute value inequalities to represent the relationship among values described in word problems.

Writing Absolute Value Equations:

Students are asked to solve a set of absolute value equations.

Solving Absolute Value Inequalities:

Students are asked to solve a set of absolute value inequalities.

Solving Absolute Value Equations:

Students are asked to solve a set of absolute value equations.

Perspectives Video: Expert

Name Description
Problem Solving with Project Constraints:

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!

Perspectives Video: Teaching Ideas

Name Description
Absolute Value Progression:

Unlock an effective teaching strategy for making connections with absolute values to graphing in this Teacher Perspectives video for educators.

Solving Quadratic Equation Using Loh's Method:

Unlock an effective teaching strategy for solving quadratic equations in this Teacher Perspectives video for educators.



Student Resources

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

Perspectives Video: Expert

Title Description
Problem Solving with Project Constraints:

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!



Parent Resources

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

Perspectives Video: Expert

Title Description
Problem Solving with Project Constraints:

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!