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Lesson plan

Lesson 9: Creating Scale Drawings

teaches Common Core State Standards MP7 http://corestandards.org/Math/Practice/MP7
teaches Common Core State Standards 7.G.A.1 http://corestandards.org/Math/Content/7/G/A/1

Lesson 9: Creating Scale Drawings

In previous lessons, students have used scale drawings to calculate actual distances. This is the first lesson where students use the actual distance to calculate the scaled distance and create their own scale drawings. They see how different scale drawings can be created of the same actual thing, using different scales. They also see how the choice of scale influences the drawing. For example, a scale drawing with a scale of 1 cm to 5 m will be smaller than a scale drawing of the same object with a scale of 1 cm to 2 m (since each cm represents a larger distance, it takes fewer cm to represent the object). This prepares them for future lessons where they will recreate a given scale drawing at a different scale. 

Noticing how scaled drawing change with the choice of scale develops important structural understanding of scale drawings (MP7).

Lesson overview

  • 9.1 Warm-up: Number Talk: Which is Greater? (5 minutes)
  • 9.2 Activity: Bedroom Floor Plan (10 minutes)
    • Includes "Are you Ready for More?" extension problem 
    • There is a digital applet in this activity.
  • 9.3 Activity: Two Maps of Utah (15 minutes)
  • Lesson Synthesis
  • 9.4 Cool-down: Drawing a Pool (5 minutes)

Learning goals:

  • Compare and contrast (orally) different scale drawings of the same object, and describe (orally) how the scale affects the size of the drawing.
  • Create a scale drawing, given the actual dimensions of the object and the scale.
  • Determine the scale used to create a scale drawing and generate multiple ways to express it (in writing).

Learning goals (student facing):

  • Let’s create our own scale drawings.

Learning targets (student facing):

  • When I know the actual measurements, I can create a scale drawing at a given scale.
  • I know how different scales affect the lengths in the scale drawing.
  • I can determine the scale of a scale drawing when I know lengths on the drawing and corresponding actual lengths.

Required materials:

  • geometry toolkits

Required preparation:

  • Ensure students have access to geometry toolkits.

Glossary:

  • Access the complete Grade 7 glossary.

Standards

  • This lesson builds on the standards: CCSS.3.NF.A.3MS.3.NF.3CCSS.5.NBT.A.3MS.5.NBT.3

 

 

 

 

 

IM 6–8 Math was originally developed by Open Up Resources and authored by Illustrative Mathematics, and is copyright 2017-2019 by Open Up Resources. It is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0). OUR's 6–8 Math Curriculum is available at https://openupresources.org/math-curriculum/.

Adaptations and updates to IM 6–8 Math are copyright 2019 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Adaptations to add additional English language learner supports are copyright 2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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