Solving One-Variable Equations

Lesson 5

Objective

Model with equations using a three-act task.

Common Core Standards

Core Standards

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

Foundational Standards

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  • 7.EE.B.4

Criteria for Success

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  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

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  • 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

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Problem 1

Act 1: Watch "Wall Pictures - Act 1"

Guiding Questions

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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?

Act 3: After students have worked on Act 2 and reached their solutions, show the video "Wall Pictures-Act 3" for the answer.

Guiding Questions

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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

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

  • Additional practice from Lessons 3 and 4.

Target Task

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Sequel: You want to put up 25 pictures using the same spacing; 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?

Mastery Response

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