Three Tasks for Three Days - Mr....
Transcript of Three Tasks for Three Days - Mr....
![Page 1: Three Tasks for Three Days - Mr. Peraltamrperalta.com/wp-content/uploads/2018/05/Parabola-Art.pdf · Three Tasks for Three Days •Task 1: •Finish “Curvesof Pursuit”. Folders,](https://reader033.fdocuments.us/reader033/viewer/2022060415/5f1323e740e60153777f0f1f/html5/thumbnails/1.jpg)
Three Tasks for Three Days
• Task 1:• Finish “Curves of Pursuit”. Folders, along with artwork,
are due this Monday
• Finish “Parabolic Curves”, to be explained today
![Page 2: Three Tasks for Three Days - Mr. Peraltamrperalta.com/wp-content/uploads/2018/05/Parabola-Art.pdf · Three Tasks for Three Days •Task 1: •Finish “Curvesof Pursuit”. Folders,](https://reader033.fdocuments.us/reader033/viewer/2022060415/5f1323e740e60153777f0f1f/html5/thumbnails/2.jpg)
Three Tasks for Three Days
• Task 1:• Finish “Curves of Pursuit”. Folders, along with artwork,
are due this Monday
• Finish “Parabolic Curves”, to be explained today
• Task 2:• Create your own binomial “dots and boxes” board or
crossword puzzle board
![Page 3: Three Tasks for Three Days - Mr. Peraltamrperalta.com/wp-content/uploads/2018/05/Parabola-Art.pdf · Three Tasks for Three Days •Task 1: •Finish “Curvesof Pursuit”. Folders,](https://reader033.fdocuments.us/reader033/viewer/2022060415/5f1323e740e60153777f0f1f/html5/thumbnails/3.jpg)
Three Tasks for Three Days
• Task 1:• Finish “Curves of Pursuit”. Folders, along with artwork,
are due this Monday• Finish “Parabolic Curves”, to be explained today
• Task 2:• Create your own binomial “dots and boxes” board or
crossword puzzle board
• Task 3:• Proof challenges. Try your best. It’s ok to struggle with
this assignment. If you can’t make any progress, don’t stress about it
![Page 4: Three Tasks for Three Days - Mr. Peraltamrperalta.com/wp-content/uploads/2018/05/Parabola-Art.pdf · Three Tasks for Three Days •Task 1: •Finish “Curvesof Pursuit”. Folders,](https://reader033.fdocuments.us/reader033/viewer/2022060415/5f1323e740e60153777f0f1f/html5/thumbnails/4.jpg)
Parabolic Curves
Parabolas are “U” shaped curves. But it’s not just any U. It’s a very specific kind of U.
In this activity, you will create a variety of parabolic curves as part of seeing a connection between math and art.
![Page 5: Three Tasks for Three Days - Mr. Peraltamrperalta.com/wp-content/uploads/2018/05/Parabola-Art.pdf · Three Tasks for Three Days •Task 1: •Finish “Curvesof Pursuit”. Folders,](https://reader033.fdocuments.us/reader033/viewer/2022060415/5f1323e740e60153777f0f1f/html5/thumbnails/5.jpg)
Draw two lines (this one is a right angle). Mark equal intervals.
![Page 6: Three Tasks for Three Days - Mr. Peraltamrperalta.com/wp-content/uploads/2018/05/Parabola-Art.pdf · Three Tasks for Three Days •Task 1: •Finish “Curvesof Pursuit”. Folders,](https://reader033.fdocuments.us/reader033/viewer/2022060415/5f1323e740e60153777f0f1f/html5/thumbnails/6.jpg)
Draw a line from the farthest mark on one line to the closest mark on the other line
![Page 7: Three Tasks for Three Days - Mr. Peraltamrperalta.com/wp-content/uploads/2018/05/Parabola-Art.pdf · Three Tasks for Three Days •Task 1: •Finish “Curvesof Pursuit”. Folders,](https://reader033.fdocuments.us/reader033/viewer/2022060415/5f1323e740e60153777f0f1f/html5/thumbnails/7.jpg)
Now connect the 2nd farthest mark to the 2nd closest mark
![Page 8: Three Tasks for Three Days - Mr. Peraltamrperalta.com/wp-content/uploads/2018/05/Parabola-Art.pdf · Three Tasks for Three Days •Task 1: •Finish “Curvesof Pursuit”. Folders,](https://reader033.fdocuments.us/reader033/viewer/2022060415/5f1323e740e60153777f0f1f/html5/thumbnails/8.jpg)
If you continue to connect the lines, you will get a parabola
![Page 9: Three Tasks for Three Days - Mr. Peraltamrperalta.com/wp-content/uploads/2018/05/Parabola-Art.pdf · Three Tasks for Three Days •Task 1: •Finish “Curvesof Pursuit”. Folders,](https://reader033.fdocuments.us/reader033/viewer/2022060415/5f1323e740e60153777f0f1f/html5/thumbnails/9.jpg)
The curve can be made smoother by adding more marks. There are 32 in this picture.
![Page 10: Three Tasks for Three Days - Mr. Peraltamrperalta.com/wp-content/uploads/2018/05/Parabola-Art.pdf · Three Tasks for Three Days •Task 1: •Finish “Curvesof Pursuit”. Folders,](https://reader033.fdocuments.us/reader033/viewer/2022060415/5f1323e740e60153777f0f1f/html5/thumbnails/10.jpg)
If you want a narrower parabola, use an angle less than 90 degrees.
![Page 11: Three Tasks for Three Days - Mr. Peraltamrperalta.com/wp-content/uploads/2018/05/Parabola-Art.pdf · Three Tasks for Three Days •Task 1: •Finish “Curvesof Pursuit”. Folders,](https://reader033.fdocuments.us/reader033/viewer/2022060415/5f1323e740e60153777f0f1f/html5/thumbnails/11.jpg)
If you want a wider parabola, use an angle larger than 90 degrees.
![Page 12: Three Tasks for Three Days - Mr. Peraltamrperalta.com/wp-content/uploads/2018/05/Parabola-Art.pdf · Three Tasks for Three Days •Task 1: •Finish “Curvesof Pursuit”. Folders,](https://reader033.fdocuments.us/reader033/viewer/2022060415/5f1323e740e60153777f0f1f/html5/thumbnails/12.jpg)
You can use this process with polygons. Here, the process isapplied to an equilateral triangle.
![Page 13: Three Tasks for Three Days - Mr. Peraltamrperalta.com/wp-content/uploads/2018/05/Parabola-Art.pdf · Three Tasks for Three Days •Task 1: •Finish “Curvesof Pursuit”. Folders,](https://reader033.fdocuments.us/reader033/viewer/2022060415/5f1323e740e60153777f0f1f/html5/thumbnails/13.jpg)
After all three sides have been connected
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The three parabolas are shown
![Page 15: Three Tasks for Three Days - Mr. Peraltamrperalta.com/wp-content/uploads/2018/05/Parabola-Art.pdf · Three Tasks for Three Days •Task 1: •Finish “Curvesof Pursuit”. Folders,](https://reader033.fdocuments.us/reader033/viewer/2022060415/5f1323e740e60153777f0f1f/html5/thumbnails/15.jpg)
Star figures
![Page 16: Three Tasks for Three Days - Mr. Peraltamrperalta.com/wp-content/uploads/2018/05/Parabola-Art.pdf · Three Tasks for Three Days •Task 1: •Finish “Curvesof Pursuit”. Folders,](https://reader033.fdocuments.us/reader033/viewer/2022060415/5f1323e740e60153777f0f1f/html5/thumbnails/16.jpg)
Combining curves to make new designs
![Page 17: Three Tasks for Three Days - Mr. Peraltamrperalta.com/wp-content/uploads/2018/05/Parabola-Art.pdf · Three Tasks for Three Days •Task 1: •Finish “Curvesof Pursuit”. Folders,](https://reader033.fdocuments.us/reader033/viewer/2022060415/5f1323e740e60153777f0f1f/html5/thumbnails/17.jpg)
Made from parallelograms
![Page 18: Three Tasks for Three Days - Mr. Peraltamrperalta.com/wp-content/uploads/2018/05/Parabola-Art.pdf · Three Tasks for Three Days •Task 1: •Finish “Curvesof Pursuit”. Folders,](https://reader033.fdocuments.us/reader033/viewer/2022060415/5f1323e740e60153777f0f1f/html5/thumbnails/18.jpg)
Combining multiple parabolas with colors
![Page 19: Three Tasks for Three Days - Mr. Peraltamrperalta.com/wp-content/uploads/2018/05/Parabola-Art.pdf · Three Tasks for Three Days •Task 1: •Finish “Curvesof Pursuit”. Folders,](https://reader033.fdocuments.us/reader033/viewer/2022060415/5f1323e740e60153777f0f1f/html5/thumbnails/19.jpg)
Directions
• Complete on a blank sheet of white paper
• Because of the variety of different pieces that canbe created, no template will be given
• Use rulers to draw straight lines and create equal sized tick marks.
• Use notebook edges to draw right angles.
• I will show you how to create an equilateral triangle with a compass