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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.	View
Box Rotation around a Point	Geometry	Graph demonstrates how to rotate a box around a point using trigonometry.	View
Building Equations from Rectangles	Equations	Pre-Algebra: 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.	View
Calculating Correlation Coefficient	Statistics	Graph helps visualize the correlation coefficient relationship between two variables.	View
Calculating Pi with Calculus	Calculus	Pi may be calculated by finding the area under a half-circle, then solving for pi using the area of a circle.	View
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.	View
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.	View
Circumcenter Theorem	Geometry	Any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment.	View
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.	View
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.	View
Color Wheel	Art	Explore the color wheel. Adjust for complementary, analogous, and triadic colors.	View
Compound Interest Visual Calculator	Finance	Graph compares simple, compound, and continuous interest.	View
Cyclic Quadrilateral	Geometry	Angles formed by an inscribed quadrilateral form distinct relationships.	View
Electromagnetic Spectrum	Physics	Graph describes visually the visible light in the electromagnetic spectrum.	View
Electromagnetic Spectrum (frequency chart)	Physics	This visual graphic can be modified to add labels describing different frequencies.	View
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	View
Fahrenheit and Celsius	Linear Equations	Use a linear function to convert temperatures.	View
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.	View
Function Average	Calculus	Function average is y value where the area between a and b is equal to the area under the curve.	View
Golden Mean Measurement	Number Theory	Use the Golden Mean to find natural relationships in art, architecture, and nature.	View
Incenter Theorem	Geometry	The incenter of a triangle is the point of intersection of all the three interior angle bisectors of the triangle.	View
Infinite Geometric Series of -1	Sequences and Series	Graph describes the sum of the infinite geometric series of -1,	View
Inscribed Triangle Angles	Geometry	Angles formed by an inscribed triangle and a tangent line from one of the triangle points form distinct relationships.	View
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?	View
Intersecting Chords	Geometry	Length of chords intersecting in a circle can be calculated through proportional relationships.	View
Inverse Variation	Functions	Equations for Inverse Variation. k is the constant of proportionality. Graph is a rational function.	View
Measuring Random Angles	Geometry	Students can randomly generate angles and measure them with a digital protractor.	View
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.	View
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.	View
Normal Distribution	Statistics	Normal distributions are often used in the natural and social sciences to represent real-valued random variables of which the distributions are unknown.	View
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.	View
Pascal's Triangle	Number Theory	Pascal's Triangle is a structure he develop that has interesting characteristics.	View
Pendulum	Physics	Simple Pendulum. t is time. l is the length of the pendulum. f(x) is the simple harmonic oscillator equation.	View
Percent Error and Greatest Possible Error	Precision	Percent error is the greatest possible error divided by the measurement multiply by 100%. The greatest possible error is equal to 1/2 of its precision.	View
Perpendicular Segment in a Circle Law	Geometry	Perpendicular lines from the center of a circle to a chord will always bisect the chord. Angles formed from two points on the circumference are equal to other angles.	View
Proportional Relationships	Ratios	Diagram visualizes proportional relationships.	View
Pythagorean Theorem	Geometry	Provides calculation methods for Pythagorean Theorem.	View
Pythagorean Theorem	Geometry	Graph displays Pythagorean Theorem in visual form.	View
Quadratic Function	Functions	Use this graph to analyze the characteristics of a quadratic function.	View
Regular Hexagon from Congruent Circles	Geometry	A regular hexagon may be constructed from congruent circles that pass through the circle centers.	View
RGB Color Creator	Art	Students will use hexadecimal values to define 3 x 8-bit RGB colors.	View
Rhombus Properrties	Geometry	Diagonal bisector of a rhombus create a pair of opposite angles. The diagonals of a rhombus are perpendicular.	View
Riemann Sum	Calculus	A Riemann sum is a certain kind of approximation of an integral by a finite sum.	View
Riemann Sum	Calculus	A Riemann sum approximates an integral by a finite sum.	View
Rotation of a Polygon (90-degree)	Geometry	Notice how the x and y values are negated or reversed for rotation at 90 degrees. Load graph in Desmos to view values.	View
Secant-Sector Relationships	Geometry	A) The measure of an angle formed by two secants intersecting outside a circle is half the difference of the arcs intercepted by the angle. B) The measure of an angle formed by two intersecting chords is one-half the sum of the measures of the arcs intercepted by it and its vertical angles.	View
Secant-Tangent Theorem	Geometry	If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.	View
Simple Calculus Demo	Calculus	This demonstration illustrates the relationship between a derivative function and the area below a function.	View
Standing Wave in a Tube	Physics	Standing wave in open tube. Air molecules are described as dots.	View
Three Overlapping Similar Triangles	Geometry	Two right triangles are similar if the corresponding sides are proportional to each other, and the corresponding angles are congruent. In this case, all three nested triangles are similar.	View
Tranforming Triangles Using Matrices	Matrices	Transformation matrices are used extensively in computer graphics. Learn how a transformation matrix affects a polygon by adjusting values in the matrix. See what happens when you perform a transformation with an identity matrix. Drag the blue and red points to affect the transformation matrix.	View
Transforming Sinusoidal Functions	Trigonometry	Graph may be used to understand how sinusodial functions are transformed.	View
Trapezoid Median	Geometry	The median of a trapezoid is parallel to each base and the length of the median equals one-half the sum of the lengths of the two bases.	View
Twelve Functions