# calculus 3d augmentedreality mtbos apcalc math maths calculator lifeis3d whymodelonlyin2d edtech mathedtech 3dmodeling geometry msmath hsmath mathed proof trig trigonometry precalc mathchat collegemath visualpattern patternlunch figurethat triangle theorem trianglesurprise science visualization elearning funfact userfriendly easytouse crosssections ios android cube 3dmodel stem steam letstudentscreate letstudentscollaborate letstudentsbuild letstudentstest howtoprove geomchat

Custom Solid: Each cross section || yAxis = a parabola with latus rectum = upper(x) - lower(x). Upper & lower FNS, limits of integration all modifiable: https://t.co/RzVZjq4RWa. Shown here in w/#AugmentedReality.

6 10
2019-11-15

2 Cylinders + Hemisphere + Torus = Lamp ? More composite solid modeling in with More info re: getting started: https://t.co/tVhsrQbb4t

13 26
2019-11-12

What does it mean for a polygon to be CONVEX? CONCAVE? Here, a quick class opener using 2 different approaches: https://t.co/3M17XDndq2 Why tell Ss when they can explore themselves and tell us?

18 36
2019-10-31

sin(2v) = 2*sin(v)*cos(v): Dynamic & modifiable illustration using equal areas. For a quick investigation for Ss (w/o ID appearing at the end): https://t.co/hIaGZcseR3.

65 150
2019-09-09

Playing around with pattern tiles again this morning and found something *super* cool!

I started by making this from ... (1/many)

6 11
2019-09-02

Here, a animation of 's problem posed earlier this week: https://t.co/bTIh6QYMcT.
How can we formally prove the sum of these 2 square areas = 4*R^2, no matter where the large points lie? 🤔

31 68
2019-08-30

Inspired by : For any RT, build a rectangle off its HYP so ratio of its L to W = 1:2. What is the measure of the pink angle? More importantly, WHY does this value NEVER CHANGE? https://t.co/wl2ZOWg42N

32 80
2019-08-25

SSS (Side-Side-Side) Congruence Dynamic via Transformational SAS & 1 other theorem. Question: Which one? 🤔 https://t.co/bdKZuzNJXK.

6 10
2019-08-23

When we build equilateral triangles off 2 sides of ANY TRIANGLE, another equilateral triangle surprisingly emerges! 😮 Why does this occur? 🤔Source: . Created with : https://t.co/lTfrId4Hik.

83 310
2019-08-16

Cycloids, the fastest path and other amazing properties 🚊🚊🚊
https://t.co/uDdBcmOgfb

156 369
2019-08-14

Similarity in Right Triangles: Dynamic Illustrations w/o Words. Created with : https://t.co/Tm8i9UPsgP. Shout out to for her suggestions to help me improve this 1st version: https://t.co/QZzxluxqsJ.

26 66
2019-08-13

The common external tangent segment connecting any 2 tangent circles has a length equal to the GEOMETRIC MEAN of the radii of both circles. 😯 How to prove? 🤔(Source: ). https://t.co/3RwqD4ki5M

26 73
2019-08-05

Suppose V = a triangle vertex, I = incenter, O = orthocenter, & C = circumcenter. Then ray VI ALWAYS BISECTS angle OVC! How can we formally prove this phenomenon true? (Source: ). https://t.co/rYmoDjwCNy

28 84
2019-08-03

Do you think you know everything about squares...?

Van Aubel's Theorem: the two segments are perpendicular and of equal length

https://t.co/Nhcf38z3qe

40 133
2019-07-30

Here, we have a right triangle with its incircle, excircle, & points of tangency to be shown. How can we prove the collinearity among the 3 points (shown at the end)? (Source: ). https://t.co/CGNxP7i5Hz

16 32
2019-07-30

Ts: Want to engage your Ss in active modeling fun? 3D has all the tools you need! And we can use to test modeling accuracy! 🙂 Re: getting started: https://t.co/tVhsrPTAcV.

12 49
2019-07-16

Exploring cube w/in in a beta version of coming soon to both & platforms. Love how we’ll be able to plot the intersection of both from INSIDE THE 😮

9 27
2019-07-02

with can help make these ACTUAL REALITIES in our classes. If we live in a 3d world, why remain only in the 2D CP? https://t.co/tVhsrPTAcV

2 11
2019-06-17