Summary
Tessellations, hands-on math
This project is made to give students the opportunity to design there own tessellations and understant the math behind that. Explore the unique feature of "Calçada Portuguesa" a beautiful and useful way to use tessellations.
Print Settings
Printer:
Bq Witbox Rafts:
No Supports:
No Resolution:
0,2mm Infill:
20% Notes:
Filament: PLA | Print Speed: 60mm/s | Bed adhesive: hair spray
How I Designed This
Design polygons in Openscad - Step 1
Let's use this formula:
{circle(20,$fn=8);%circle(20,$fn=90);}
Now you have a 2d shape (image1).
Image 1
Design polygons in Openscad - Step 2
It's time to add volume so add this line before the previous one:
linear_extrude(height = 3, center = true, convexity = 0)
And you obtain your first polygon (image2)
Image 2
Design polygons in Openscad - Step 3
You can make different polygons by change de value that apears above the green bar in the next photos
Triangle
Pentagon
Hexagon
Project: Tessellations, hands-on math
Project Name
Tessellations, hands-on math is made to give students the opportunity to design there own tessellations and understant the math behind that. Explore the unique feature of "Calçada Portuguesa" a beautiful and useful way to use tessellations. Overview & Background
This project give me more knowledge about math. I was a medium math student and now with 3D printers at a reasonable price it's a great opportunity to everyone knows more about math and have hands on activities in schools. Objectives
At the end of this project students wil be abble to:
Identify polygons
Identify Regular Tessellations
Identify Semi Regular Tessellations
Build there own tessellations
Audiences
This project is made for 5th grade Subjects
Math Skills Learned
Math of polygons
Tessellations
"Calçada Portuguesa", a brief history
Lesson/Activity
There is a powerpoint you can use as guideline for the activity. STEP 1 - What is a polygon
The teacher should ask first to students if they know what is a polygon. From there the activity should start.
First slide
STEP 2 - Identify polygons
The teacher should give to each student the “Identify polygons” worksheet and let them do the work
Second slide
Students Identify polygons worksheet
STEP 3 - Tessellations
The teacher should now introduce the concept of tessellation. Explain the difference between regular and semi-reglar tessellations.
Third slide
STEP 4 - Identify regular tessellations
The teacher should give to each student the “Identify Regular Tessellations” worksheet and let them do the work
Fourth slide
Students Identify regular tessellations worksheet
STEP 5 - Identify semi regular tessellations
The teacher should give to each student the “Identify SemiRegular Tessellations” worksheet and let them do the work
Fifth slide
Students Identify semi regular tessellations worksheet
STEP 6 - Build your own tessellation
The teacher should give to each student the “Build your own Tessellation” worksheet and invite students to use the plastic pieces to make there own tessellations. After that the teacher our the students should use the camera to take a picture of the tessellation, print ir and glue on the worksheet
Sixth slide
Use the polygons to build lovely tessellations, take a picture and print it
Cut the picture
Glue it and take it home
STEP 7 to STEP 14 - Calçada Portuguesa - a brief history
From here to end the teacher should tell a little story about "Calçada portuguesa" and show the beautiful images in the powerpoint of this wonderful use of tessellation
Seventh slide to the end
Duration
45 minutes Preparation
List of things to get before activity starts:
Plastic polygons printed or ordered by the teacher
A media projector and a computer
Pencil for students
A webcam or a camera
A printer
Glue
Scissores
Make groups of 4 or 5 students
References
For the teachers here is a excelent resource to know all the math behind tessellations:
http://ictedusrv.cumbria.ac.uk/maths/pgdl/unit9/Tessellation.pdf Rubric & Assessment
In the end students should produce a lovely regular or semi-regular tessellation. Handouts & Assets
There is powerpoint presentation for the teachers, you can download in thing files folder, called tessellations_presentation.pdf
There is some worksheets to students will they perfome the activity, also you can download in thing files folder, called tessellations_worksheets.pptx
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Tessellations, hands-on math
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