Unit 1
Making the Moves
Rigid Transformations and Congruence
Lesson 4
8.G.A.1: Verify experimentally the properties of rotations, reflections, and translations: Lines are taken to lines, and line segments to line segments of the same length. Angles are taken to angles of the same measure. Parallel lines are taken to parallel lines.
Expressions and Equations
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Warm Up - Reflection Quick Image
Unit 1 ● Lesson 4
1 min individual - 1 min team share - 3 mins class share
Page 23
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Warm Up
Unit 1 ● Lesson 4
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Warm Up
Unit 1 ● Lesson 4
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Let’s draw and describe translations, rotations, and reflections.
Unit 1 ● Lesson 4
We will be able to use the terms translation, rotation, and reflection so that we can precisely describe transformations.
Learning
Goal
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Where were we? Where are we? Where are we going?
Unit 1 ● Lesson 4
Agenda Review
You are successful today when...,
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Unit 1 ● Lesson 4
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
4.1 Activity: Make That Move
You can use the terms translation, rotation, and reflection to precisely describe transformations
Do not show your card to your partner!
Round 1 - 3 mins
Round 2 - 3 mins
(A cards)
15 mins total
5 min individual - 5 minutes group - 5 mins class share
pg 24
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
4.1 Activity: Make That Move
You can use the terms translation, rotation, and reflection to precisely describe transformations
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
4.3 Activity: A to B to C
You can use the terms translation, rotation, and reflection to precisely describe transformations
No, it is not possible using a SINGLE transformation
One way would be to take the bird on the left, translate it up, and then reflect it over a vertical line.
Rigid: unable to bend or be forced out of shape; not flexible.
Transformation: A transformation is a translation, rotation, reflection, or dilation, or combination of these.
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
4.2 Activity: A to B to C
You can use the terms translation, rotation, and reflection to precisely describe transformations
2 mins individual - 2 min team share - 2 mins class share
10 mins total
2 min individual - 4 minutes group - 4 mins class share
pg 24-25
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
4.2 Activity: A to B to C
You can use the terms translation, rotation, and reflection to precisely describe transformations
There are a lot of ways to describe the translation that takes A to B. In the figure to the left, two corresponding points P and Q are shown as a horizontal translation. There are two ways to take B to C with a single transformation; one is a reflection with line of reflection ℓ (shown). The other is a rotation 60° clockwise around point R on line ℓ.
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Unit 1 ● Lesson 3
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Glossary
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics
Moving in the Plane
You can use the terms translation, rotation, and reflection to precisely describe transformations
A translation is determined by two points that specify the distance and direction of the translation.
A rotation is determined by a center point and an angle with a direction.
A reflection is determined by a line.
Translations, rotations, and reflections, or any combination of these.
More than one applied one after the other.
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Lesson Synthesis
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Cool Down
You can use the terms translation, rotation, and reflection to precisely describe transformations
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Cool-down
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Unit 1 ● Lesson 4
Learning
Targets
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This slide deck is copyright 2020 by Kendall Hunt Publishing, https://im.kendallhunt.com/, and is licensed under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0), https://creativecommons.org/licenses/by-nc/4.0/.
All curriculum excerpts are under the following licenses:
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).
The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written consent of Illustrative Mathematics.
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