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Angle Bisector Theorem


Geometry 
The angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. 


Box Rotation around a Point


Geometry 
Graph demonstrates how to rotate a box around a point using trigonometry. 


Building Equations from Rectangles


Equations 
PreAlgebra: Build equations by turning on width or height and area. Or build equations by turning on width or height and perimeter.
Algebra 1: Build and solve a quadratic equation by turning on area and perimeter. 


Calculating Correlation Coefficient


Statistics 
Graph helps visualize the correlation coefficient relationship between two variables. 


Calculating Pi with Calculus


Calculus 
Pi may be calculated by finding the area under a halfcircle, then solving for pi using the area of a circle. 


Calculating Pi with Perimeter


Number Theory 
π may be calculated by inscribing a regular polygon into a circle. By measuring perimeter, π may be estimated. 


Calculating Sample Variance and Standard Deviation


Statistics 
Variance measures how far a set of numbers is spread out from their average value. This model represents the calculation of sample variance. 


Circumcenter Theorem


Geometry 
Any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment. 


Color Theory (CMYK)


Geometry 
Any color you see on a surface is formed by the subtractive color mixing model. We are more familiar with this color model because it is how we learned to mix colors. In this case, “subtractive” refers to removing the light from the paper by adding more color. "K" represents blacK which is added in the printing process to make the colors more realistic. 


Color Theory (RGB)


Art 
Mixing light—or the additive color mixing model—allows you to create colors by mixing red, green and blue light sources of various strengths. The more light you add, the brighter the color becomes. If you mix all three colors of light, you get pure, white light. 


Color Wheel


Art 
Explore the color wheel. Adjust for complementary, analogous, and triadic colors. 


Compound Interest Visual Calculator


Finance 
Graph compares simple, compound, and continuous interest. 


Cyclic Quadrilateral


Geometry 
Angles formed by an inscribed quadrilateral form distinct relationships. 


Deciphering Trigonometric Relationships


Trigonometry 
Graph helps to play with basic trigonometric relationships. Compare to radians and angles. 


Decomposing a Vector


Physics 
This tool visualizes the process of decomposing a vector into two orthogonal vectors, 


Electromagnetic Spectrum


Physics 
Graph describes visually the visible light in the electromagnetic spectrum. 


Electromagnetic Spectrum (frequency chart)


Physics 
This visual graphic can be modified to add labels describing different frequencies. 


Excircle Triangle Properties


Geometry 
An excircle of the triangle is a circle lying outside the triangle, tangent to one of its sides and tangent to the extensions of the other two. Diagram displays one of the three triangles tangent to the circle. The center of an excircle is the intersection of the internal bisector of one angle (at vertex 


Fahrenheit and Celsius


Linear Equations 
Use a linear function to convert temperatures. 


Focus and Directrix of Parabola


Functions 
A parabola is moves in a plane where its distance from a fixed point known as a focus is always equal to the distance from a fixed straight line known as directrix. 


Function Average


Calculus 
Function average is y value where the area between a and b is equal to the area under the curve. 


Golden Mean Measurement


Number Theory 
Use the Golden Mean to find natural relationships in art, architecture, and nature. 


Incenter Theorem


Geometry 
The incenter of a triangle is the point of intersection of all the three interior angle bisectors of the triangle. 


Infinite Geometric Series of 1


Sequences and Series 
Graph describes the sum of the infinite geometric series of 1, 


Inscribed Triangle Angles


Geometry 
Angles formed by an inscribed triangle and a tangent line from one of the triangle points form distinct relationships. 


Integrals and Riemann Sums


Calculus 
Integral is the continuous analog of a sum, which is used to calculate areas. This tool compares integrals with Riemann sums. 


Interior Angle of Regular Polygon


Geometry 
N the function f(x) below, x = number of sides in a regular polygon. The function solves for the interior angle. What is the limit for y when x > 0? Does this mean that the interior angle inside a circle (when n = ∞) is a straight line? 


Intersecting Chords


Geometry 
Length of chords intersecting in a circle can be calculated through proportional relationships. 


Inverse Variation


Functions 
Equations for Inverse Variation. k is the constant of proportionality. Graph is a rational function. 


Measuring Random Angles


Geometry 
Students can randomly generate angles and measure them with a digital protractor. 


Midsegment Theorem


Geometry 
The segment joining the midpoints of two sides of a triangle is parallel to and half the length of the third side. 


Midsegment Theorem


Geometry 
The Midsegment Theorem states that the midsegment connecting two midpoints of a triangle is parallel to the third side of the triangle. The length of the midsegment is also half the length of the third side. For example, the midsegment of two midpoints could have a length of 4. This would mean that the length of the third side is 8 and the two lines are parallel. The midsegment is always half the length of the third side. Conversely, the third side is always twice as long as the midsegment. 


Normal Distribution


Statistics 
Normal distributions are often used in the natural and social sciences to represent realvalued random variables of which the distributions are unknown. 


Outside Angle Theorem (Two Tangents)


Geometry 
The two tangent theorem states that if we draw two lines from the same point which lies outside a circle, such that both lines are tangent to the circle, then the angle formed from the intersecting tangent lines is equal to 180 degrees minus the angle of the far arc. 


Pascal's Triangle


Number Theory 
Pascal's Triangle is a structure he develop that has interesting characteristics. 


Pendulum

