Lesson plan

Lesson 18: Practicing Point by Point Transformations

teaches Alabama State Standards Geo-22.a.
teaches Alabama State Standards Geo-22.
teaches Alabama State Standards Geo-21.a.
teaches Alabama State Standards Geo-21.
teaches Arizona State Standards G.G-CO.A.5
teaches Arizona State Standards G.G-CO.A.2
teaches Common Core State Standards MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards MP5 http://corestandards.org/Math/Practice/MP5
teaches Common Core State Standards HSG-CO.A.2 http://corestandards.org/Math/Content/HSG/CO/A/2
teaches Common Core State Standards HSG-CO.A.5 http://corestandards.org/Math/Content/HSG/CO/A/5
teaches Common Core State Standards MP6 http://corestandards.org/Math/Practice/MP6
teaches Colorado State Standards HS.G-CO.A.5.
teaches Colorado State Standards HS.G-CO.A.2.
teaches Georgia State Standards MGSE9-12.G.CO.5.
teaches Georgia State Standards MGSE9-12.G.CO.2.
teaches Kansas State Standards G.CO.2.
teaches Kansas State Standards G.CO.1c.
teaches Kansas State Standards G.CO.1b.
teaches Kansas State Standards G.CO.1a.
teaches Kansas State Standards G.CO.1.
teaches Minnesota State Standards
teaches Ohio State Standards G.CO.5.
teaches Ohio State Standards G.CO.2.
teaches Pennsylvania State Standards CC.2.3.HS.A.1.

Lesson 18: Practicing Point by Point Transformations

This lesson is optional.

This lesson gives students more practice defining sequences of transformations in terms of labeled points on the figure. It will be especially helpful if students had difficulty with the previous lesson. The first obstacle course activity includes a grid to provide some scaffolding yet still encourages students to think about the transformations in terms of the labeled points. For the second activity the grid is removed again entirely in preparation for subsequent lessons. 

The goal is for students to start to develop a systematic, point-by-point sequence of transformations that will work to take any pair of congruent polygons onto one another. This is especially important because when transformations are used in triangle congruence proofs in a subsequent lesson, students will be justifying how they know that a certain transformation will take one triangle onto another.

Students practice attending to precision (MP6) when they describe transformations step by step.

Technology isn't required for this lesson, but there are opportunities for students to choose to use appropriate technology to solve problems. We recommend making technology available.

Lesson overview

  • 18.1 Warm-up: Notice and Wonder: Obstacles (5 minutes)
  • 18.2 Optional Activity: Obstacle Course (15 minutes)
    • Digital applet in this activity
    • Includes "Are you Ready for More?" extension problem 
  • 18.3 Optional Activity: Point by Point (15 minutes)
    • Digital applet in this activity
    • Includes "Are you Ready for More?" extension problem 
  • Lesson Synthesis
  • 18.4 Cool-down: Build Another House (5 minutes) 

Learning goals:

  • Draw the result of a transformation (in written language) of a given figure.
  • Explain (orally and in writing) a sequence of transformations to take a given figure onto another.

Learning goals (student facing):

  • Let's figure out some transformations. 

Learning targets (student facing):

  • Given a figure and the description of a transformation, I can draw the figure's image after the transformation.
  • I can describe a transformation that takes given points to another set of points.

Required materials:

  • Geometry toolkits


  • This lesson builds on the standard:CCSS.8.G.A.2MS.8.G.2MO.8.GM.A.2a
  • This lesson builds towards the standard:CCSS.HSG-CO.A.5MS.G-CO.5MO.G.CO.A.5






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