Tessellations, hands-on math

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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

Design Files

File Size

tessellations_worksheets.pdf
108 KB
octogon.stl
4.66 KB
hexagon.stl
2.87 KB
pentagon.stl
2.52 KB
quadrilateral.stl
1.91 KB
triangle.stl
1.15 KB

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