The Conic Department Foldable That Wasn't

If you've been reading my weblog lately, y'all in all likelihood tin strength out tell that I'm a conic department convert.  I'm a conic department hater turned a conic department lover.  Confession time.  Before this schoolhouse year, I didn't genuinely know why they were called conic sections.  Maybe you're thinking, "Duh, Sarah!  It tells y'all inward the name!"  Or, possibly you're similar me together with y'all never made the connection.  Conic way "of or pertaining to a cone."  Every unmarried conic department tin strength out live on formed from a cone.  How did I non come across that before?  I gauge I never genuinely questioned why they were called conic sections when I studied them inward high school.  

This isn't the get-go obvious connexion I've failed to make.  H5N1 duo of weeks ago, I was inward my car, driving to view my parents.  One of the roads that I grew upwards some inward Broken Arrow is known every bit "County Line Road."  Well, technically, it's 193rd eastward Ave, but everybody simply calls it "County Line."  As I was driving downwardly an alone dissimilar road, I had an epiphany.  It's called County Line Road because it follows the county draw of piece of work betwixt Wagoner County together with Tulsa County.  How inward the globe did it receive got me 24 years of my life to figure this out?  It should receive got been obvious.  I was hence excited almost the realization that I had to telephone band my mom together with tell her almost my discovery.  Instead of laughing or making fun of me for taking hence long to realize this, she commented, "Well, I gauge you've had to a greater extent than of import things to shout back almost than the names of roads."  Thanks, Mom!  But, I withal shout back I in all likelihood should receive got realized this sooner than I did.  Apparently, my sis had realized this because she was less than impressed alongside my recent discovery.  Her reaction was to a greater extent than along the lines of: "How inward the globe did y'all non know that?!?"  It happens, okay?

Since I didn't desire my students to live on similar me together with become throughout high school, 4 years of college to larn a math degree, together with a yr of pedagogy without realizing precisely what conic sections were, I designed this foldable to set inward their interactive notebooks.       


I stole some pictures from online that demo how each conic department is created yesteryear taking the cross department of a cone.  And, I set these on the exterior flaps of the foldable.

On the inside, I decided to bag an persuasion I had seen online.  Take newspaper cones (think snowfall cones), cutting them to shape the conic section, dip them inward paint, together with postage stamp the conic section.  I was going to receive got students piece of work together inward groups of 4.  Each educatee would live on responsible for cutting 1 conic section.  All the students would postage stamp the cutting cone inward the right department within their foldable to shape the conic section.

Other people receive got done it.  I read almost it from Miss Ruldolph.  And, I originally saw the persuasion on Walking In Mathland.  Seriously, y'all ask to follow these links together with hence come upwards dorsum hither to read almost my adventures.  I promise.  It'll brand a lot to a greater extent than feel if y'all do!

The solar daytime earlier I wanted to exercise this inward class, I decided I needed to become to Wal-Mart together with purchase some newspaper cones.  Did I cite this was dorsum inward like shooting fish in a barrel January?  Either I was looking at the incorrect house inward the shop OR it's a seasonal item.  All I know, is I couldn't regain the newspaper cones at 2 dissimilar Wal-Marts.  Of course, inward retrospect, possibly I should receive got looked inward the sporting goods department where they sell H2O jugs together with the like.
It's okay, I thought, newspaper cones are simply made out of paper.  So, I printed off some cone templates on card stock, cutting them out, together with glued together several cones.  So far, hence good, or hence I thought.  Then, I went to cutting them.  I figured I would start alongside the circle because it looked to live on the easiest.  I squeezed the cone shut, made a right away cut, together with opened the cone dorsum upwards to regain that I had most definitely NOT made a circle.  I tried again.  And, again, I ended upwards alongside something that was non a circle.  I tried cutting an ellipse.  It didn't piece of work whatever better.  The parabola came out looking similar a hybrid betwixt a quadratic business office together with an absolute value function.  And, let's non fifty-fifty speak almost the hyperbola.

Obviously, it tin strength out live on done because I've seen it on other blogs.  But, I couldn't figure out how to cutting the cones hence they genuinely formed the conic sections.  Needless to say, I ended upwards scrapping this persuasion together with simply jumping into the formulas for diverse conic sections.  If anyone has some advice for how to genuinely cutting the cones, I'd gladly receive got it.  I experience similar I must live on overlooking something obvious.  I shout back my work is that I'm squeezing the cone nigh earlier I cutting it.  But, I'm non certain how to cutting the cone without squeezing it nigh first.  Help!    

But, I persuasion I would become ahead together with postal service the foldable I created inward instance it would live on of utilization to anybody else.  I planned on having my students postage stamp conic sections on the inside.  But, I gauge y'all could receive got your students write formulas or piece of work out examples.

You tin strength out download the file together with my other conic department files here.

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