# Solving One-Variable Equations

## 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.

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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)

#### Fishtank Plus

• Problem Set
• Student Handout Editor
• Vocabulary Package

## Anchor Problems

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### Problem 1

Act 1: Watch "Wall Pictures - Act 1"

#### 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.

#### 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.

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