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Angle Bisector Theorem
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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. |
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Box Rotation around a Point
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Geometry |
Graph demonstrates how to rotate a box around a point using trigonometry. |
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Building Equations from Rectangles
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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. |
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Calculating Correlation Coefficient
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Statistics |
Graph helps visualize the correlation coefficient relationship between two variables. |
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Calculating Pi with Calculus
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Calculus |
Pi may be calculated by finding the area under a half-circle, then solving for pi using the area of a circle. |
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Calculating Pi with Perimeter
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Number Theory |
π may be calculated by inscribing a regular polygon into a circle. By measuring perimeter, π may be estimated. |
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Calculating Sample Variance and Standard Deviation
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Statistics |
Variance measures how far a set of numbers is spread out from their average value. This model represents the calculation of sample variance. |
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Circumcenter Theorem
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Geometry |
Any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment. |
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Color Theory (CMYK)
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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. |
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Color Theory (RGB)
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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. |
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Color Wheel
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Art |
Explore the color wheel. Adjust for complementary, analogous, and triadic colors. |
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Compound Interest Visual Calculator
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Finance |
Graph compares simple, compound, and continuous interest. |
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Cyclic Quadrilateral
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Geometry |
Angles formed by an inscribed quadrilateral form distinct relationships. |
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Electromagnetic Spectrum
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Physics |
Graph describes visually the visible light in the electromagnetic spectrum. |
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Electromagnetic Spectrum (frequency chart)
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Physics |
This visual graphic can be modified to add labels describing different frequencies. |
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Excircle Triangle Properties
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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 |
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Fahrenheit and Celsius
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Linear Equations |
Use a linear function to convert temperatures. |
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Focus and Directrix of Parabola
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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. |
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Function Average
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Calculus |
Function average is y value where the area between a and b is equal to the area under the curve. |
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Golden Mean Measurement
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Number Theory |
Use the Golden Mean to find natural relationships in art, architecture, and nature. |
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Incenter Theorem
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Geometry |
The incenter of a triangle is the point of intersection of all the three interior angle bisectors of the triangle. |
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Infinite Geometric Series of -1
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Sequences and Series |
Graph describes the sum of the infinite geometric series of -1, |
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Inscribed Triangle Angles
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Geometry |
Angles formed by an inscribed triangle and a tangent line from one of the triangle points form distinct relationships. |
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Integrals and Riemann Sums
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Calculus |
Integral is the continuous analog of a sum, which is used to calculate areas. This tool compares integrals with Riemann sums. |
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Interior Angle of Regular Polygon
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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? |
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Intersecting Chords
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Geometry |
Length of chords intersecting in a circle can be calculated through proportional relationships. |
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Inverse Variation
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Functions |
Equations for Inverse Variation. k is the constant of proportionality. Graph is a rational function. |
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Measuring Random Angles
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Geometry |
Students can randomly generate angles and measure them with a digital protractor. |
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Midsegment Theorem
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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. |
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Midsegment Theorem
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Geometry |
The segment joining the midpoints of two sides of a triangle is parallel to and half the length of the third side. |
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Normal Distribution
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Statistics |
Normal distributions are often used in the natural and social sciences to represent real-valued random variables of which the distributions are unknown. |
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Outside Angle Theorem (Two Tangents)
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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. |
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Pascal's Triangle
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Number Theory |
Pascal's Triangle is a structure he develop that has interesting characteristics. |
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Pendulum
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Physics |
Simple Pendulum. t is time. l is the length of the pendulum. f(x) is the simple harmonic oscillator equation. |
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Percent Error and Greatest Possible Error
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