MAFS.6.EE.2.8

Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.
General Information
Subject Area: Mathematics
Grade: 6
Domain-Subdomain: Expressions & Equations
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Reason about and solve one-variable equations and inequalities. (Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes
Test Item Specifications

  • Assessment Limits :
    Numbers in items should not require students to perform operations with negative rational numbers or result in answers with negative rational numbers. Context in real-world items should be continuous or close to continuous. Inequalities are limited to < or >.
  • Calculator :

    No

  • Context :

    Allowable

Sample Test Items (1)
  • Test Item #: Sample Item 1
  • Question: This question has two parts. 

    Jayesh determines that he needs to sell more than $200 worth of fruit at his produce stand in order to make a profit. 

    Part A. Which inequality represents the fruit sales, s, in dollars, for which Jayesh will make a profit?

     

    Part B. Which number line models all fruit sales, in dollars ($), for which Jayesh will make a profit?

     

     

  • Difficulty: N/A
  • Type: MC: Multiple Choice

Related Courses

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

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.
MAFS.6.EE.2.AP.8a: Write an inequality that represents a real-world situation.

Related Resources

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

Assessments

Sample 4 - Sixth Grade Math State Interim Assessment:

This is a State Interim Assessment for sixth grade.

Type: Assessment

Sample 2 - Sixth Grade Math State Interim Assessment:

This is a State Interim Assessment for sixth grade.

Type: Assessment

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

Lesson Plans

Just Right Goldilocks’ Café: Temperature & Turbidity:

This is lesson 3 of 3 in the Goldilocks’ Café Just Right unit. This lesson focuses on systematic investigation on getting a cup of coffee to be the “just right” temperature and turbidity level. Students will use both the temperature probe and turbidity sensor and code using ScratchX during their investigation.

Type: Lesson Plan

Just Right Goldilocks’ Café: Turbidity:

This is lesson 2 of 3 in the Just Right Goldilocks’ Café unit. This lesson focuses on systematic investigation on getting a cup of coffee to be the “just right” level of turbidity. Students will use turbidity sensors and code using ScratchX during their investigation.

Type: Lesson Plan

Just Right Goldilocks’ Café: Temperature:

This is lesson 1 of 3 in the Just Right Goldilocks’ Café unit. This lesson focuses on systematic investigation on getting a cup of coffee to be the “just right” temperature. Students will use temperature probes and code using ScratchX during their investigation.

 

Type: Lesson Plan

Gather Data For Distribution by Programming an App:

This lesson allow students to gather, calculate, and plot data using both computer code and mathematical equations. In this lesson students will create a pedometer app to demonstrate the understanding of algorithms, components (such as buttons, textboxes, sensors, etc.), and If/Then statements. This lesson uses algebraic equations and random data to access the needed components to store data in a spreadsheet.

Type: Lesson Plan

Data Sets Represented in Computers:

This lesson shows how data can be represented by computers, in relation to everyday activities we may not be aware that we use computer. It gives an overview of graphing data by creating a histogram based on population data. Using the data collected, students will get a chance to hand write code to show what structure is needed for computers to collect, analyze and distribute such data. This lesson is lesson 1 of the Data Set and Deviation Statistics Unit and bridges statistical concepts of data collection, graphing and analysis with programming a computer using coding language while reinforcing foundational algebraic skills.

Type: Lesson Plan

Florida Water Hazard Warning Simulation:

This lesson is a culminating lesson in the Florida Landforms & Water Unit that gives students the ability to use their knowledge of water and potential weather hazards that affect different Florida landforms. This lesson allows students to create a computer program that demonstrates a flood hazard and how to monitor it.

Type: Lesson Plan

Are You Invited to the Party?:

Students will write and graph inequalities that represent real-world constraints involving whole numbers, negative numbers, and/or rational numbers. The distinction between continuous and discrete variables is made.

Type: Lesson Plan

Introducing Inequalities:

Students are introduced to simple inequalities and their graphs as they write inequalities to represent real-world constraints.

Type: Lesson Plan

Writing Inequalities to Represent Situations:

In this introductory lesson, students will learn how to write inequalities to represent situations through guided practice, cooperative learning and comparing the solutions of inequalities to that of equations.

Type: Lesson Plan

Original Student Tutorials

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

Problem-Solving Task

Fishing Adventures 1:

Students are asked to write and graph two inequalities described in context: one discrete and one continuous.

Type: Problem-Solving Task

Student Center Activity

Edcite: Mathematics Grade 6:

Students can practice answering mathematics questions on a variety of topics. With an account, students can save their work and send it to their teacher when complete.

Type: Student Center Activity

Teaching Idea

Students Collaborate to Solve Compound Inequalities:

In this activity, the student teacher role is reversed using the "jigsaw activity." This is where there is an original group, and they are separated into different groups. They are then given a particular case, and solve it as a group until they understand it enough to be able to go back to their original group and teach their case to the rest of the students. Each student coming from a different group, they will all have the opportunity to do some teaching.

Type: Teaching Idea

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.

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

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

Problem-Solving Task

Fishing Adventures 1:

Students are asked to write and graph two inequalities described in context: one discrete and one continuous.

Type: Problem-Solving Task

Student Center Activity

Edcite: Mathematics Grade 6:

Students can practice answering mathematics questions on a variety of topics. With an account, students can save their work and send it to their teacher when complete.

Type: Student Center Activity

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.

Problem-Solving Task

Fishing Adventures 1:

Students are asked to write and graph two inequalities described in context: one discrete and one continuous.

Type: Problem-Solving Task