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Objective

Learn about symmetry groups by using the tool of construction in Geometry

Starter

5 Min: What makes shapes efficient and how is that demonstrated in nature?

On a note card free-write, turn in when done

Symmetry Group Exploration

In your Notes Record the following definitions:

Isometry: a distance preserving transformation of an object in the plane.
Tiling: an arrangement of shapes that cover a plane without gaps or overlap.
Symmetry group: a set of isometries that can be applied to a tiling that results in the same tiling.

Assignment: Symmetry Group Exploration
Due at the end of class on Friday 10/1

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Objective

Grade POWs!

Grade the Regular Octagon POW

Directions:

Take out your complete POW write up or video.
Use the skills rubric and circle which areas of mastery you think you demonstrated during this POW.
Trade your POW write up with your table mates and read through each other’s POW using the content rubric. You should each grade everyone’s POW at your table (3-4 peer grades per POW).
Pick two POWs to present to the class

Introduction To Tessellations

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Objective

Understand the relationships between similar triangles and use those properties to find missing sides.

Starter

Tour the properties of triangles posters in the back of the room and identify two ways to prove two triangles are the same.

Similar Triangles Lesson

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Objective

Recognize similarities between triangles and how to classify them.

Properties of Triangles Activity

Materials: 1 sheets of graph paper, 1 sheet of printer paper (one for triangles, one for the poster)

On a piece of graph paper make as many triangles as you can that fit all of the following criteria:
1. Each Triangle has an area of 6 square units or 12 square units
2. Each Triangle has vertices aligned with the grid lines on the graph paper
3. Each Triangle has a horizontal line

        2. After you have completed creating your triangles, cut them out and sort them into
            groups. They should be sorted according to one or more properties they both share.
            Tape or glue them on a poster with the categories clearly labeled.

        3. On your poster, how would you prove that two triangles are congruent? Do all sides have to be equal? Do all angles have to be equal? What is the minimum amount of information you need to prove two triangles are the same? Explain.

       4. Post your poster on the wall

       5. Exit Ticket: Respond to at least two of your peers by answering one the following prompts in 3-5 sentences.
              -In what ways did they organize their triangles that made it clear or unclear to
               understand, and why?

              -To what extent does their proof justify that two triangles are congruent? Explain.

              -What question or curiosity arose from studying their poster of triangles?

Reminder

POW is due on Friday (video POWs can be turned in via youtube, airdrop, or external hard drive)

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Tuesday 9/21

9/21/2021

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Work Day

We having been moving at a high intensity the last 5 weeks, and I am feeling it today. I decided I am going to give you all a work day today to work on your POWs. Reminder, your POW needs to be completely done before class on Friday.

Please check your grade on IC and check if you have any assignments missing.

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Monday 9/20

9/20/2021

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Objective

Understand the relationship between congruent angles and parallel lines

Agenda

Reminder

POW is due on Friday (video POWs can be turned in via youtube, airdrop, or external hard drive)

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Friday 9/17

9/17/2021

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Objective

Apply skills of Geometric Construction to create a regular Octagon

Regular Octagon POW

Click here to see POW document

Agenda

(3 min) Experiment with Desmos and create a equilateral triangle
1. What did we come up with?
2. Have a volunteer show the class
(3 min) Construct a regular hexagon
1. What did we come up with?
2. Have a volunteer come up and demonstrate
(20 min) Experiment by yourself using straightedge and compass (no google)

Exit Ticket: (10 min) Regular Octagon Brainstorm