Solving One-Variable Equations

Lesson 5

Math

Unit 2

8th Grade

Lesson 5 of 12

Objective


Model with equations using a three-act task.

Common Core Standards


Core Standards

  • 8.EE.C.7 — Solve linear equations in one variable.

Foundational Standards

  • 7.EE.B.4

Criteria for Success


  1. Make observations and pose questions to an incomplete problem.
  2. Model a situation using an equation and make adjustments to the model as the situation changes (MP.4).
  3. De-contextualize a situation to represent it algebraically, and re-contextualize to interpret the solution in context of the problem (MP.2).

Tips for Teachers


  • Students have been exposed to three-act tasks in previous grades, however, as the first one of the year, you may want to establish a culture or process in your classroom around how these are used. 
  • The Desmos activity “Central Park” is a great modeling activity; it is more closely aligned with 7th grade content standards, but could be a good activity for review, remediation, or additional practice. (Requires computers)
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Anchor Problems

25-30 minutes


Problem 1

Act 1: Watch "Wall Pictures - Act 1"

What do you notice? What do you wonder?

Guiding Questions

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Student Response

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References

101Questions Wall Pictures

Wall Pictures by Andrew Stadel is made available on 101Questions under the CC BY 3.0 license. Accessed Aug. 31, 2017, 1:17 p.m..

Problem 2

Act 2: Look at the pdf document for Act 2. 

What should be the spacing between the pictures?

Guiding Questions

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Student Response

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References

101Questions Wall Pictures

Wall Pictures by Andrew Stadel is made available on 101Questions under the CC BY 3.0 license. Accessed Aug. 31, 2017, 1:17 p.m..

Problem 3

Act 3: Watch the video "Wall Pictures-Act 3" for the answer.

Was your answer reasonable? Why or why not?

Guiding Questions

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Student Response

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References

101Questions Wall Pictures

Wall Pictures by Andrew Stadel is made available on 101Questions under the CC BY 3.0 license. Accessed Aug. 31, 2017, 1:17 p.m..

Problem Set

15-20 minutes


Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.

Target Task

5-10 minutes


You want to put up 25 pictures using the same spacing found earlier; however, these pictures have been rotated 90 degrees to be in a portrait orientation. How long of a wall, in feet, do you need? 

How long of a wall would you need for $$n$$ pictures in portrait orientation using the same spacing?

Student Response

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Additional Practice


The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.

  • Additional practice from Lessons 3 and 4.

Next

Solve equations with variables on both sides of the equal sign.

Lesson 6
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Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Simplifying Expressions and Verifying Solutions

Topic B: Analyzing and Solving Equations in One Variable

Topic C: Analyzing and Solving Inequalities in One Variable

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