I'm too thus piteous to hold out finished amongst conic sections. I simply dearest them that much. My students, on the other hand, are quite glad to hold out done amongst conics. We've moved on to sequences too serial inwards Algebra 2, too I cause got a lot of students who are inwards dearest amongst that chapter. I'm simply excited to encounter them excited nearly something!
Here is what our interactive notebooks ended upwards looking similar for conic sections.
As always, the unit of measurement began amongst a tabular array of contents.
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Conic Sections Table of Contents |
I truly taught parabolas every bit utilization of Unit half dozen - Quadratic Functions. So, the page of formulas for parabolas was truly constitute inwards the terminal chapter of their notebooks. I'm going to become ahead too include that page every bit if it was inwards the Conic Sections Unit.
I posted nearly it earlier, but I gave my students a menses nautical chart from
Rebecka Peterson to assistance them position which conic department corresponded amongst a given equation.
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Classifying Conic Sections Flow Chart |
The formulas too data I gave students were taken from
Cindy Johnson's Conic Cards. The conic bill of fare file contains cards for the students to utilization that cause got these formulas on them. But, I decided I wanted my students to cause got something inwards their notebook to reference this year. I similar how these pages turned out, too I'm thinking of doing away amongst the data cards altogether side past times side twelvemonth inwards the conic bill of fare decks.
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Conic Section: Parabola Formulas |
Next, I made a booklet foldable for my students to practise graphing nine parabolas in.
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Parabola Graphing Practice Foldable Booklet |
Students had to position how the parabola opened too the vertex of the parabola. Then, they sketched the graph.
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Parabola Practice - Foldable Example |
Here's what the within of the booklet foldable looked like. These were graded for accuracy every bit utilization of their notebook check.
I cause got attached the files below. The formulas for the practise problems were non written in, too thus y'all could give students whatever parabola equations that y'all pick out to.
Next up, circles! We took notes over the formulas for circles.
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Conic Section: Circle Formulas |
And, students got lots of practise graphing circles inwards their booklet foldable.
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Circle Practice Booklet Foldable |
Here's a close-up of the illustration circle I graphed amongst my students. I really, really, truly should cause got used a compass! Students were required to position the middle too radius of the circle inwards add-on to graphing the circle.
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Circle Practice - Foldable Example |
Here are our 2 pages on circles, side past times side.
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Interactive Notebook Pages - Conic Sections: Circles |
We explored ellipses next. As always, nosotros started off past times looking at the formulas for ellipses.
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Conic Section: Ellipse Formulas |
We graphed nine unlike ellipses for lots of practice.
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Ellipse Practice Booklet Foldable |
Here are the 2 ellipse pages, side past times side.
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Interactive Notebook Pages - Conic Sections: Ellipses |
And, here's a close-up that details how I showed students to graph their ellipses. I tried to employ Color With a Purpose (CWP) here. I wrote the middle inwards bluish too graphed the middle inwards blue. I wrote the a value inwards orangish too used the orangish marking to demo how to utilization the a value to discovery points on the ellipse. I did the same matter amongst the b value.
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Ellipse Practice - Foldable Example |
Last, but non least, nosotros explored hyperbolas. Hyperbolas are my to the lowest degree favorite conic section. I didn't desire my prejudice against hyperbolas to rub off on my students, too thus I truly told my students that hyperbolas were my favorite conic department to graph. I'm non certain how convincing I was, but I did withdraw heed around students remark that hyperbolas weren't every bit difficult to graph every bit they showtime imagined them to be.
Here are the formulas for hyperbolas.
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Conic Section: Hyperbola Formulas |
There was barely plenty data on our Hyperbola Practice booklet foldable to write out the data needed to graph each hyperbola. But, nosotros made it fit!
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Hyperbola Practice Booklet Foldable |
Here's a close-up of my beautiful hyperbola. I brand my students position the center, a value, b value, asymptotes, too vertices of each hyperbola before graphing. I cause got constitute that students produce a much ameliorate labor at graphing if they cause got identified this data beforehand.
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Hyperbola Practice - Foldable Example |
Here are the 2 pages nosotros made for hyperbolas, side past times side.
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Interactive Notebook Pages - Conic Sections: Hyperbolas |
Download files
here.
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