6.EE.8 - About the Math, Learning Targets, and Increasing Rigor
Grade 5AGL Expressions and Equations
6.EE.8
About the Math
Full Standard
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.
Learning Targets (I can)
- Explain what an inequality is.
- Represent an inequality with a number line.
- Write inequalities.
- Use inequalities to represent real-world situations.
- Recognize that inequalities can have infinite solutions.
About the Math
Many real-world situations are represented by inequalities. Students write inequalities to represent real world and mathematical situations. Students use the number line to represent inequalities from various contextual and mathematical situations. A number line diagram is drawn with an open circle when an inequality contains a < or > symbol to show solutions that are less than or greater than the number but not equal to the number. The circle is shaded when the number is to be included. Students recognize that possible values can include fractions and decimals, which are represented on the number line by shading. Shading is extended through the arrow on a number line to show that an inequality has an infinite number of solutions. Essential vocabulary for this standard includes: greater than, >, less than, <, greater than or equal to, ≥, less than or equal to, ≤, and inequality. Visit the online dictionary
Links to an external site. or visual math dictionary
Links to an external site. for vocabulary support.
Progression of Standard in Grade 6 (5 AGL)
This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics.
Quarter 1 | Quarter 2 | Quarter 3 | Quarter 4 |
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Progression of this Standard Across Grades
This progression is informed by the Achieve the Core Coherence Map Links to an external site.. Information is not the complete standard.
Grade 5 | Grade 7 |
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Instructional Tasks
TASKS
These tasks can be used with small group or whole group instruction.
- Michael has 20 toy cars. Caitlin gave Michael t cars. Michael now has less than 47 toy cars. Write an inequality to represent this problem and then give five possible values for t.
- What value for x makes 10x < 6 true? What is another possibility?
- Make both inequalities true by using the same value for c. 67 + c < 92 and 100 – c > 52 Explain your thinking.
- Mary has less than 45 minutes to take a shower and make her breakfast. She knows it will take 20 minutes for her to take a shower. Write and solve an inequality to show m, the maximum number of minutes Mary has to make her breakfast.
- Write the inequality that matches the number line (pictured above) then create a story problem to go along with this inequality.
SLIDE-BASED TASKS
These links are HCPSS created instructional tasks. These tasks are provided in Google slides. These tasks should be used for inspiration and resources, but instruction should start with students having the opportunity to engage with the math first (often involving physical and/or visual models) followed by discussion and explicit instruction to ensure student understanding.
Module 7 • Inequalities
Write Inequalities to Represent Problems and Show Solutions:
Additional Tasks
These links provide instructional ideas connected to this standard.
- Writing and Graphing Inequalities : Lesson7.8 Links to an external site.(Illustrative Math)
- Solutions of Inequalities: Lesson 7.9 Links to an external site.(Illustrative Math)
- Interpreting Inequalities: Lesson 7.10 Links to an external site.(Illustrative Math)
- Fishing Adventures 1 (Links to an external site.) Links to an external site.(Illustrative Math)
- Typhoon Neoguri Approaching Japan Links to an external site. (YummyMath)
- Inequality with No Solution Links to an external site. (Open Middle)
- Hershey Park Inequalities Download Hershey Park Inequalities (HCPSS Lesson Collection)
Tasks From Print Resource
This publications have been provided for each school. They are typically stored in team closets or the media center. Check with your team leader if you cannot find them.
Book Thumbnail | Book Title | Grade | Pages |
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Teaching Student-Centered Mathematics | 6-8 | What Do You Know About The Shapes?, Activity 12.2, Page 227 Title Or Balance, Activity 12.3, Page 228 True or False, Activity 12.4, Page 239 |
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Independent Work
Centers
These print resources can be used during independent or center time. These resources could also be used as lesson seeds.
- Inequality Charades Download Inequality Charades (print resource)
- Inequalities Puzzle Ring Download Inequalities Puzzle Ring (print resource)
INDEPENDENT PRACTICE/HOMEWORK/ASSESSMENT
These resource sheets can be used for independent practice, homework, or assessment. They are intended to reinforce procedures and concepts. They should not be used as a source of direct instruction or whole-group practice.
- Explain and Represent Inequalities a Links to an external site.
- Explain and Represent Inequalities b Links to an external site.
- Explain and Represent Inequalities c Links to an external site.
- Write Inequalities Links to an external site.
- Match an Inequality to Number Lines and Real-Life Situations Links to an external site.
- Reason About Inequalities Links to an external site.
- Represent a Real-Life Situation as an Inequality and on a Number Line Links to an external site.
- Represent a Real-Life Situation as an Inequality and on a Number Line_2 Links to an external site.
- Represent a Real-Life Situation as an Inequality and on a Number Line_3 Links to an external site.
- Write and Represent Inequalities on a Number Line Links to an external site.
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Assessment
Learning Targets
- Explain what an inequality is.
- Represent an inequality with a number line.
- Write inequalities.
- Use inequalities to represent real-world situations.
- Recognize that inequalities can have infinite solutions.
Learning targets identify what students should be able to do. This rubric can be applied to tasks and observations for assessment and/or grading.
Rubric for Tasks Links to an external site.
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Links to an external site. license. Content in this course can be considered under this license unless otherwise noted.