MA.6.AR.1.2

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Translate a real-world written description into an algebraic inequality in the form of x > a, x < a, x ≥ a or x ≤ a. Represent the inequality on a number line.

Examples

Mrs. Anna told her class that they will get a pizza if the class has an average of at least 83 out of 100 correct questions on the semester exam. The inequality g ≥ 83 can be used to represent the situation where students receive a pizza and the inequality g < 83 can be used to represent the situation where students do not receive a pizza.

Clarifications

Clarification 1: Variables may be on the left or right side of the inequality symbol.
General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 6
Strand: Algebraic Reasoning
Standard: Apply previous understanding of arithmetic expressions to algebraic expressions.
Date Adopted or Revised: 08/20
Status: State Board Approved

Related Courses

This benchmark is part of these courses.
1205010: M/J Grade 6 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1205020: M/J Accelerated Mathematics Grade 6 (Specifically in versions: 2014 - 2015, 2015 - 2020, 2020 - 2022, 2022 and beyond (current))
1204000: M/J Foundational Skills in Mathematics 6-8 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7812015: Access M/J Grade 6 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.
MA.6.AR.1.AP.2: Write or select an inequality that represents a real-world situation.

Related Resources

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

Formative Assessments

Transportation Number Lines:

Students are given an inequality to graph and asked to list sample solutions.

Type: Formative Assessment

Rational Number Lines:

Students are given an inequality to graph and asked to select sample solutions.

Type: Formative Assessment

Roadway Inequalities:

Students are given a context from which to write an inequality statement.

Type: Formative Assessment

Acres and Altitudes:

Students are given a context from which to write an inequality statement.

Type: Formative Assessment

Original Student Tutorials

Theme Park Inequalities: Part 2:

Follow Jamal as he represents algebraic inequalities on a number line while visiting a theme park with his family in this interactive tutorial.

This is part 2 in a two-part series on inequalities. Click HERE to open part 1. 

Type: Original Student Tutorial

Theme Park Inequalities: Part 1:

Follow Jamal as he translates theme park written descriptions into algebraic inequalities in this interactive tutorial.

Type: Original Student Tutorial

MacCoder's Farm Part 4: Repeat Loops:

Explore computer coding on the farm by using IF statements and repeat loops to evaluate mathematical expressions. In this interactive tutorial, you'll also solve problems involving inequalities.

Click below to check out the other tutorials in the series.

Type: Original Student Tutorial

MacCoder’s Farm Part 3: If Statements:

Explore computer coding on the farm by using relational operators and IF statements to evaluate expressions. In this interactive tutorial, you'll also solve problems involving inequalities.

Click below to check out the other tutorials in the series.

Type: Original Student Tutorial

Perspectives Video: Expert

Improving Hurricane Scales:

Meteorologist, Michael Kozar, discusses the limitations to existing hurricane scales and how he is helping to develop an improved scale.

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Expert

Text Resources

Pythagoras Explained:

This informational text resource is intended to support reading in the content area. The text describes a method for predicting the win-loss record for baseball teams based on runs scored and runs allowed, using the "Pythagorean Expectation" formula invented by Bill James. The text goes on to show the relationship of the prediction formula to the Pythagorean theorem, pointing out a very cool application of the theorem to the world of sports.

Type: Text Resource

Kangaroos Have "Green" Farts:

This informational text resource is intended to support reading in the content area. Researchers in Australia have found kangaroos to produce more acetate in their flatulence than methane. Cows and goats produce methane-heavy flatulence twenty times more potent than carbon dioxide, adding to the greenhouse gases contributing to global warming. Scientists are trying to use this research on kangaroo farts to discover a way to alter the amount of greenhouse gases in animal flatulence worldwide.

Type: Text Resource

Tutorial

How to Represent Real-World Situations with Inequalities:

Learn how to write inequalities to model real-world situations.

Type: Tutorial

MFAS Formative Assessments

Acres and Altitudes:

Students are given a context from which to write an inequality statement.

Rational Number Lines:

Students are given an inequality to graph and asked to select sample solutions.

Roadway Inequalities:

Students are given a context from which to write an inequality statement.

Transportation Number Lines:

Students are given an inequality to graph and asked to list sample solutions.

Original Student Tutorials Mathematics - Grades 6-8

Theme Park Inequalities: Part 1:

Follow Jamal as he translates theme park written descriptions into algebraic inequalities in this interactive tutorial.

Theme Park Inequalities: Part 2:

Follow Jamal as he represents algebraic inequalities on a number line while visiting a theme park with his family in this interactive tutorial.

This is part 2 in a two-part series on inequalities. Click HERE to open part 1. 

Computer Science Original Student Tutorials

MacCoder’s Farm Part 3: If Statements:

Explore computer coding on the farm by using relational operators and IF statements to evaluate expressions. In this interactive tutorial, you'll also solve problems involving inequalities.

Click below to check out the other tutorials in the series.

MacCoder's Farm Part 4: Repeat Loops:

Explore computer coding on the farm by using IF statements and repeat loops to evaluate mathematical expressions. In this interactive tutorial, you'll also solve problems involving inequalities.

Click below to check out the other tutorials in the series.

Student Resources

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

Original Student Tutorials

Theme Park Inequalities: Part 2:

Follow Jamal as he represents algebraic inequalities on a number line while visiting a theme park with his family in this interactive tutorial.

This is part 2 in a two-part series on inequalities. Click HERE to open part 1. 

Type: Original Student Tutorial

Theme Park Inequalities: Part 1:

Follow Jamal as he translates theme park written descriptions into algebraic inequalities in this interactive tutorial.

Type: Original Student Tutorial

MacCoder's Farm Part 4: Repeat Loops:

Explore computer coding on the farm by using IF statements and repeat loops to evaluate mathematical expressions. In this interactive tutorial, you'll also solve problems involving inequalities.

Click below to check out the other tutorials in the series.

Type: Original Student Tutorial

MacCoder’s Farm Part 3: If Statements:

Explore computer coding on the farm by using relational operators and IF statements to evaluate expressions. In this interactive tutorial, you'll also solve problems involving inequalities.

Click below to check out the other tutorials in the series.

Type: Original Student Tutorial

Tutorial

How to Represent Real-World Situations with Inequalities:

Learn how to write inequalities to model real-world situations.

Type: Tutorial

Parent Resources

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