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Standard 4 : Write, solve and graph absolute value equations, functions and inequalities in one and two variables.
Cluster Standards
This cluster includes the following benchmarks.
Visit the specific benchmark webpage to find related instructional resources.
- 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.
- 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.
Cluster 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
Cluster Access Points
This cluster includes the following Access Points.
- 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.
Cluster Resources
Vetted resources educators can use to teach the concepts and skills in this topic.
Formative Assessments
- 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
- 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>
Perspectives Video: Teaching Ideas
- 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.