iPads in the Classroom

These are my resources from an iPad training.

Resources:

• Algebra Touch *****
• Khan Academy *****
  
• TI-Nspire ******
• Educreations Interactive Whiteboard ****
• Youtube ****
• Solarwalk 3D Solar System Model ****
• Splashtop 2 - Remote Desktop *****
• Remind 101 ***
• Notability *
• iTunes U ***
• TeacherKit *
• Flashcards*
• ShowMe Interactive Whiteboard ***
• Minds of Modern Mathematics ****
• Elevated Math ***
• Math Ref ***
• Mathinnation ***
• Video Calculus *
• Math Stripes **
• Touch Physics *
• Math *
• Motion Math: Hungry Fish *
• Pre-Calculus & Calculus by WAGmob *
• Google Earth **
• How to Make Origami *
• Free Graphing Calculator **
• Skitch *
• iMathematics! *
• Kno Textbooks *
• inClass *
• Sketchpad Explorer
• Geometry Pad
• Geometry Constructions Tutor (Lite)
• iSpy - X
• Algebra Champ
• Doceri **
• MathBoard ***

Pending: (Apps I have not used, but shared by other teachers.)

• Quizzlet
• Easy bib (English)
• Books app (English personal)
• Guided Access on the iPad
• qr codes
• class dojo
• prezi (scroll all the way down to education)
• today's meet
• CamDraw
• MathAcademy
• BrainPop
• MeasureLength
• ButterflyMath
• MathOpen
• MathZombie
• MathPentagon
• Farmer'sMath

Resource:

• TCEA
• http://www.ck12.org/student/

Apple TV: Used to project your iPad activities.

 

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Geometry: Special Segment Construction with Paper Folding

Pg 5. Special Segment Construction

After the paper triangle folding lesson, I gave students this assignment. This turned out really well. Students cut out their own triangle and when they came across significant scenarios - same altitude, median, etc. we got to discuss this one on one.

 

Here's an example of an obtuse isosceles triangle I was assigned in a workshop.

 

Pg 6. Venn Diagrams of Triangle Relationships

I noticed that some of my students could use a visual diagram for equilateral and equiangular as a subcategory of isosceles and acute.

Pg 7. Intersection of Medians

Pg 8. Intersection of Altitudes

Pg 9. Intersection of Perpendicular Bisectors

Pg 10. Intersection of Angle Bisectors

Pg 11. Constructing Altitudes

 

Pg. 12 Midsegments

Steps:

1. Cut a triangle out.
2. Fold and pinch each side side in half to locate the midpoint.
3. Fold a vertex to the midpoint of the opposite side and crease the midsegment.
4. Using a straight edge either trace the fold or connect the midpoints using a straight line. There should be three midsegments.
5. (EXTENSION) Cut along the midsegments to divide the original triangle into four congruent triangles similar to the original.

OR

My first year, I had students cut out a triangle and then duplicate three more congruent triangles by tracing/copying the original.

I then had the students trace them on a piece of paper.

After tracing, students measured all of the segments and angles. We then compared the lengths using ratios. This showed an approximate scale factor of 2. We also compared and showed the angles of simlar figures to be congruent.

 

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Constructions!

I LOVE CONSTRUCTIONS! I plan on teaching them as an ongoing concept.

Last summer, I was introduced to them at a workshop. I was never taught constructions when I was in high school or college. This was brand new. I went home and completed a detailed step by step and guideline for myself. I will share this. If it doesn't make since or you have another way or constructive criticism, please let me know. I did teach some this past year and the experience went really well. The students loved them and it helped build a stronger connection and understanding amoung the fundamental concepts of Geometry.

 

I begin constructions with a diagram and a few 'rules' or guidelines for myself and my students.

I couldn't tell you how I folded and glued these ten pages togther, but this is the coolest document that I think I've ever done. It is front and back and about 9 feet long.

One side is my initial attempt and additional practice. The other side is my detailed steps and constructions. I hope that these make sense, and if not, you can find a lot of great videos on youtube!

 

 

 

 

 

 

 

 

This last one is a confusing combination of my discovery and the presenter's approach. I always knew that SSA was not a postulate/theorem of triangle congruency. How? "Because you don't say ASS in class!" is what my high school teacher told me. It wasn't until my third year of teaching that I figured it out. I actually learned this through Khan Academy and of course put it to paper. The way the presenter approached it, you would never have a problem with the 'a-word' in class, but I couldn't tell you what or how she said it.

 

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