TILES AND TURTLES [DAY 2]
GEOMETRY - TRANSFORMATIONS
Explore concepts relating to rigid motion transformations.
Intentionality
Math Talk
Warm Up
Visual Math Talk
Visual Math Talk Prompt #1
Visual Math Talk Prompt #2
Visual Math Talk Prompt #3
Visual Math Talk Prompt #4
Visual Math Talk Prompt #5
Visual Math Talk Prompt #6
Visual Math Talk Prompt #7
Purposeful Practice
Resources & Downloads
Educator Discussion Area
Intentionality & Unit Overview

Length of Unit: 5 Days
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Students will reinforce concepts related to rigid motion transformations by describing and performing translations, rotations and reflections.
Intentionality…
The purpose of Day 2 activities is to reinforce concepts from Day 1. Students will engage in a variety of warm up activities designed to review vocabulary as well as to emerge properties of rigid motion transformations. They will also have an opportunity to complete purposeful practice that will serve to develop a deeper understanding of the following big ideas:
- a property of rigid motion transformations (rotation, reflection, and translation) is that the measure of a two-dimensional object under the transformation remains unchanged
- basic rigid motions (translations, rotations, reflections) preserve distances and angle measures of figures
- two figures on a plane are congruent if a series of basic rigid motions can be described that will map one figure onto another
- when a figure is translated on a plane, segments connecting corresponding points will be parallel and congruent
- when a figure is rotated on a plane, segments connecting corresponding points via the point of rotation have the same angle measures
- when a figure is reflected across a line, segments connecting corresponding points are parallel to each other and perpendicular to the line of reflection
What You’ll Need…
A variety of tools for students to use to think through the problems, including, but not limited to:
- Patty paper
- MIRA geometry tools
- Centimeter paper
- Scissors
- Rulers
Math Talk
This Math talk has 2 sections
- Warm Up
- Visual math talk prompts
Warm Up
Warm Up
These warm up activities involve a general “Which One Doesn’t Belong”, visual warm ups as well as vocabulary review and may be spread out over several days or conducted in a rotation-type workshop setup.
Warm Up #1
Consider utilizing the following image with the prompt:
Which one doesn’t belong?
If you have not used a Which One Doesn’t Belong prompt before, note that the options in the image are crafted in such a way where one might be able to argue one or more reasons why any of the options do not belong based on different attributes, properties, characteristics, etc.
Some possible observations students might share include:
A doesn’t belong because:
- it is the only shape that is not rotated around the origin
- the polygons are a different color
B doesn’t belong because
- it is the only shape that is rotated counterclockwise
- it is the only shape that is rotated 90 degrees counterclockwise
- it is the only shape that is rotated 270 degrees clockwise
C doesn’t belong because
- it is the only shape that doesn’t have an area of 6 square units
D doesn’t belong because
- it is a different shape than the others
Of course, these are just some possible observations and many more ideas may be highlighted by your students.
What do you notice? What do you wonder?
Consider utilizing the next 3 prompts as a way to remind students of some of the ideas that may have arisen during the consolidation of day 1. The prompts consist of a trapeze artist moving in different ways. As students notice and wonder after each animation, consider emphasizing the following points if students bring them up, or perhaps suggest them yourself if they don’t.
Warm Up #2
What do you notice? What do you wonder?
- When a figure is translated on a plane, segments connecting corresponding points from the preimage to the image will be parallel and congruent
Warm Up #3
What do you notice? What do you wonder?
- When a figure is reflected across a line, segments connecting corresponding points from the preimage to the image are parallel to each other and perpendicular to the line of reflection
- When a figure is reflected across a line, corresponding points on the image and preimage are equidistant from the line of reflection
Warm Up #4
What do you notice? What do you wonder?
- When a figure is rotated on a plane, segments connecting corresponding points from the preimage to the image via the point of rotation will have the same angle measures
Warm Up #5 [Word Bank]
There are a variety of ways to use the word bank in a warm up. One simple way is to have students stand with a partner. Partner 1 is facing the projector screen and can see the words, while Partner 2 stands facing Partner 1 . Partner 1 must provide clues to the vocabulary words, without using the words themselves.
Another way is to have students create sentences using the words, in a game similar to “two truths and a lie”. Each group must create 3 sentences using two words each. Two sentences must be TRUE, one must be FALSE or represent a common misconception. Other groups must point out the false statements.
Word Bank – part 1
In part 2, Partner 1 and Partner 2 might switch places.
Word Bank – part 2
Visual Math Talk
Overview of this Math Talk
Students will have an opportunity to independently complete practice questions related to rigid motion transformations without the use of a coordinate plane. This serves to solidify understandings of features of rigid motion transformations that may be overlooked, or not made explicit, with the use of a coordinate plane.
As students are working, you might consider using this opportunity to pose purposeful questions and document student thinking for the purpose of formative assessment.
Pay close attention to the strategies that students are using.
Are students:
- Cutting out figures and moving them across?
- Using measurement techniques to measure distance or angles?
- Accurately identifying corresponding vertices on congruent figures?
- Able to logically sequence more than one transformation?
- Using precise language to describe the transformations?
While students are working independently, you might also consider strategically pulling students individually or in small groups in order to move them along their developmental continuum.
Visual Math Talk Prompt #1


Visual Math Talk Prompt #2
Show students the following visual math talk prompt and be prepared to pause the video where indicated:
Which transformation maps figure A onto figure B?
Visual Math Talk Prompt #3
Show students the following visual math talk prompt and be prepared to pause the video where indicated:
Which transformation maps figure A onto figure B?
Visual Math Talk Prompt #4
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Visual Math Talk Prompt #5
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Visual Math Talk Prompt #6
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Visual Math Talk Prompt #7
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Purposeful Practice
While Students Are Practicing…
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Questions: Transformations
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Resources & Downloads
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Printable Lesson Plan PDF
Videos, Images & Media Files
Apple Keynote Presentation
Powerpoint Presentation
Printable Consolidation Prompts
Educator Discussion Area
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