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Something that I learned is that not all tessellations can work. They can have gaps in them that make them not able to continue on forever.

EG

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Something I learned during this lesson was ways to utilize tessellations in the classroom. Tessellations won't necessarily be used as a full lesson, but could be used during small groups, or when a student finishes early.

JH

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Tessellations-  A pattern of shapes that forces the object to go on and on forever with the particular placements of the shapes and patterns. 

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Tessellations-  A pattern of shapes that forces the object to go on and on forever with the particular placements of the shapes and patterns. 

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RD

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I learned that when creating patterns, there can be several lines of symmmerties and reflections. The first activity we did (Desmos) was a great way to start this off, to ask questions and answers questions, and to understand the concepts of translation, reflection, and rotation.

KM

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JH

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KM

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tessellations have to have angle measurements that fit together.

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Learning the shapes and their attributes is important, and so is learning and manipulating different shapes to fit them together. This is similar to what we did in class when we used Tangrams to make a square and used pattern blocks.

LVD

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Visual learning is very important for students in learning geometry. Students need examples of regular and irregular shapes to grasp geometric concepts.

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Students will start in geometry as being able to visualize different 2-d shapes. It is extremely important to build on this knowledge and provide examples of both regular and non-regular shapes.

LVD

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LVD

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Coordinates is important to understand because students could mix up their x and y. I was always taught run before jump!

KM

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i learned that in geometry it is importsnt to be able to see,"visualize", or predict what different shapes could look like.

KG

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You need to be able to have a good sense of 2 dimensions to be able to translate it or expand upon it.

MD

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I learned that in geometry it is an important skill to be able to see, "visualize", or predict the outcome of different shapes put together.

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Gives you a better understanding of where the shape comes from. Helps you determine the outline of the shape.

KM

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There are five phases of learning according to Van Hiele: information- teacher identifies what students already know, guided orientation- students explore concepts, explicitation- describes what they have learned about the topic in their own words, and integration- summarize and integrate what they have learned.

TM

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The idea of having tested examples help students explore these shapes and builds stronger learning through exploration and trial and error.

md

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I learned that a rectangle's diagonal are equal. When drawing out two rectanges and drawing diagonals from different corners you can see that there are 2 equal triangles. I also noticed that it was like splitting the rectangle in half.

KM

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When classifying shapes, using the tangrams provides a visual for students to look at and compare the sides.

TM

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Something I relearned in class on 4/4 was a parallelogram vs. a rhombus. It clicked to me that a rhombus is a form of a parallelogram, but not vice versa. A parallelogram has 4 sides with 2 sides being the same. A rhombus is a special parallelogram that has 4 sides that are all the same.

KM

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Working with shapes in a 3D way helps students gain a better understanding of how everything works in the world around them. This gives them an appreciation of how things work.

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Working with shapes in a 3D way helps students gain a better understanding of how everything works in the world around them. This gives them an appreciation of how things work.

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MD

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How to fill in all the Tangram pieces into a square:

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How to fill in all the Tangram pieces into a square:

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When filling a large box with tangram pieces, it's best to begin by experimenting with various arrangements, starting with the larger pieces and filling in any gaps with smaller ones. Rotate and flip the pieces as needed to achieve the optimal fit. Depending on the box's depth, consider layering or stacking the tangram pieces to maximize space utilization, ensuring a snug fit to accommodate as many pieces as possible. Once a suitable arrangement is found, carefully place the tangram pieces inside the box, ensuring they fit securely and don't overlap excessively. Adjust their positioning as necessary to create a tidy arrangement. Before finalizing the layout, test the stability by gently shaking the box to ensure the pieces remain in place without shifting too much, making any adjustments needed to enhance stability.

RD

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Something I feel like I relearned from a different perspective is how helpful physical learning is for children. Children being able to physically place 2-d shapes together to see the whole image is only bettering their understanding. It's engaging and it is a way for them to play around with it until they get their answer.

EG

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Placing bigger, more awkward pieces first and watching the angles of the smaller pieces helped. Also placing them together to create different shapes helped.

KG