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Color-Pick Applet

When working with computers, we define colors in terms of the amounts of red, green, and blue that the computer uses to generate the color. This can be represented using Hexedecimal code, where two numbers in base-16 represent the amount of each of red, green, and blue. This applet creates a slice of the color spectrum and lets you see where a given hex number lands on the spectrum.


  1. Imput values in the boxes Blue-1 and Blue-2 to set the amount of blue in the slice of the spectrum we create.
  2. Press the play button. Let the animation run until it fills the box, then pause it.
  3. Select Color-Pick Mode.
  4. Change the values in the four imput boxes to move the dot to the corresponding color in the spectrum.
  5. You can repeat one or both sections of the exercise for different values of blue, red, and green.


Desmos Applet


My Desmos Applet can be found using the code FTZEQ5.

Applets:
Title Description
Decimal Clock Scroll down to see the current time in standard measurements and in a base-10 time clock, or to convert a specific time between standard and decimal time.
Counting base Demonstration" Binary counting animation that can be adjusted for other number-bases
Hex Color Picker Full-spectrum color chart that represents colors visually and in Hex code, RGB, HSL, and CMYK
Number Base Conversion Calculator Convert numbers between number bases
Bases for Fractions Calculates the base conversion of all fractions of a given denominator


Applet Collections:
Name Description
Rossman/Chance Applet Collection Large collection of statistics applets, most of which do not require Java or Flash
LON-CAPA Physics collection An array of applets for a variety of physics concepts and systems, created by the Learning Online Network
Wolfram Alpha Applet Collection A collection of user-generated applets on a wide range of topics and disciplines
Symbolab Calculators A variety of general and specific calculators that provide step-by-step demonstrations of solving all manner of math problems. Also contains graphing, geometric, and algebraic workspaces
MSTE Resources A large collection of math applets organized by type with the source code easily accessible for embedding or altering


Resources:
Name Type Description
XKCD: 1 to 10 Joke A short joke comic about binary by XKCD
Unbeatable Squirrel Girl #11, pages Ten , Eleven , and twelve Comic Marvel superhero and computer science major Doreen Green demonstrates counting in binary using your hands to distract a supervillain.
Doctor Strange and the Multiverse of Measurements Infographic Benedict Cumberbatch decorates this infographic for converting between common measurements of volume, which can be thought of as a series of nested number base systems
Binary Numbers and Base Systems as Fast as Possible Video A video containing a brief interview to binary and positional notation in theory and practice
Portal and Base-4 Video fictional psychopathic supercomputer GLaDOS references number bases to prove she is fine (note: she is not fine)



Sine Applet

The Sine Function [y=sin(x)] is one of the basic functons of trigonometry. It is also known as the Sine Wave due to its consistent up-and-down motion as it moves along the x-axis. You may recall from science class that any wave has both an amplitude (the furthest it gets from the axis) and a wavelength (the distance between two consecutive high points of the wave). Investigate below how changing the formula of the sine wave alters it's construction

  1. Make sure the orange graph, g(x)=sin (x) is showing
  2. Move the slider for A. Does this effect the amplitude or the wavelength?
  3. Move the slider for B. Does this effect the amplitude or the wavelength?
  4. There is one point that does not move, regardless of how you move the sliders. Find that point and theorize about why it is always the same.

Triangle Applet

A triangle is a polygon with three sides. There are many ways to describe and construct the properties of a triangle; here we will be experimenting with one of them and investigating how some triangles, from a certain perspective, actually have four sides.

  1. Click "Triangle 1" to display the first triangle.
  2. One important circle in trigonometry is the nine-point circle, which contains the midpoints of each side of a triangle. Click "Nine-Point circle" to display this circle for our triangle.
  3. The Incircle is that largest circle entirely contained within a triangle. Click "Incircle" to display this circle for our triangle.
  4. Click "Outer Circle" to display the circle that contains the three vertices of our triangle.

    We can now use these three circles to describe each side of the triangle. They have their endpoints on the outer circle, their midpoints on the nine-point circle, and they are tangent to the incircle.
  5. Click "Triangle Line" to display a line segment and its midpoint. Drag the blue endpoint of this line and observe how the midpoint moves onto the nine-point circle as it aligns with each side of the triangle.
  6. Now, Click "Four-Sided Triangle to display another triangle. Do not move the vertices of this triangle.
  7. Use the "circles" and "triangle 2 line" boxes to display the same constructions as before.
  8. Drag the Triangle line around the circle. Can you find a fourth position where the midpoint of the line touches the nine-point circle?
  9. Experiment with the triangles and their lines and consider what properties result in a triangle with a "fourth side" and why that might be the case.
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