6.EE.5 - About the Math, Learning Targets, and Increasing Rigor

Grade 5AGL Expressions and Equations

6.EE.5

About the Math

Full Standard

Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

 

Learning Targets (I can)

  • Describe an equation.
  • Describe an inequality.
  • Select values to make an equation true using substitution.
  • Select values to make an inequality true using substitution.

 

About the Math

  • Describe an equation.

In elementary grades, students explored the concept of equality. In 6th grade, students explore equations as expressions being set equal to a specific value.

  • Describe an inequality.

Inequalities state the comparison of two expressions. 

  • Select values to make an equation true using substitution.
  • Select values to make an inequality true using substitution.

The solution is the value of the variable that will make the equation or inequality true. Students use various processes to identify the value(s) that when substituted for the variable will make the equation true.

 

Essential vocabulary for this standard includes: inequalities, equations, greater than, >, less than, <, greater than or equal to, ≥, less than or equal to, and ≤. 

 

Progression of Standard within Grade 6 (5 AGL)

This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics.

Progression Throughout Year
Quarter 1 Quarter 2 Quarter 3 Quarter 4
  • Describe an equation.
  • Describe an inequality.
  • Select values to make an equation true using substitution.
  • Select values to make an inequality true using substitution.

 

 

 

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.

Progression Across Grades
Grade 5 Grade 7
  • Write simple expressions (5.OA.2)
  • Graph two patterns/rules on coordinate plane (5.OA.3)
  • Use square root and cube root symbols to represent solutions to equations (8.EE.2)

 

 

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Instructional Tasks

TASKS

These tasks can be used with small group or whole group instruction.

  • If x = 5, then 2x + 4 = 14. Explain why this is true.
  • What value of n makes the equation 4n + 6 = 30. Explain how you solved this.
  • Tony said the value of c is 7 and Jayla said the value of c is 6 in the equation 4 + 4c - 5 = 23. Who is correct? How do you know?
  • How can the equation f + f + f - 6 = 3 help you solve the equation 3f - 6 = 3? Explain.

 

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 6 • Using Expressions and Equations

Understand equations and inequalities and solve (using values from a set):

 

 

Additional Tasks 

These links provide instructional ideas connected to this standard. 

 

 

 

Tasks From Print Resources

These 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. 

Print Resources
Book Thumbnail Book Title Grade Pages

Teaching Student-Centered Mathematics 

 6-8

Open Sentences, Activity 12.5, Page 230
Telephone: Transforming Words to Equations/Inequalities, Activity 12.7, Page 233

Groundwords: Reasoning with Numbers

 5 104-110 (Shape Numbers)

Groundworks: Algebraic Reasoning

 5 32-39 (Pan Balances)
56-63 (Shape Equations)
64-71 (Shape Grids)

 

 

 

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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.

 

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.

 

 

 

 

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Assessment

Learning Targets

rubric

  • Describe an equation.
  • Describe an inequality.
  • Select values to make an equation true using substitution.
  • Select values to make an inequality true using substitution.

 

Learning targets identify what students should be able to do. This rubric can be applied to tasks and observations for assessment and/or grading. 

 

 

 

 

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