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The Harmonious Mathematics of Music According to legend, the Ancient Greek Pythagoras was once walking on the streets of Samos, when the sounds of blacksmiths’ hammering suddenly gave him an epiphany. Pythagoras rushed into the shop and, as he analyzed mathematically the shapes of the blacksmiths’ hammers, he laid the foundations of music that today’s Rihanna, Shakira and others are building upon. Wait a minute… Are you talking about the guy from the Pythagorean theorem? I am. Radians to degrees How to convert degrees to radians or radians to degrees. Theory: What are 'radians' ? One radian is the angle of an arc created by wrapping the radius of a circle around its circumference. In this diagram, the radius has been wrapped around the circumference to create an angle of 1 radian. The pink lines show the radius being moved from the inside of the circle to the outside:

How to Make a Clinometer Edit Article Fixed Angle (45 degree) InclinometerFixed Angle Inclinometer: ApplicationsProtractor InclinometerProtractor Inclinometer: Applications Edited by Waited, Flickety, Maniac, Webster and 47 others A clinometer (also called a declinometer) is an instrument that measures vertical slope, usually the angle between the ground or the observer and a tall object, such as a tree or building (angle of elevation), but it can be used from the heights to a lower point (angle of depression or decline).

Ice Cream Combinations Shine + Write | Transum Software A different version of this activity is here. This is a visual aid designed to be projected onto a whiteboard for whole class exposition. It does not need to be an interactive whiteboard though of course that will make the resource more dynamic.

Transformations of the Sine and Cosine Graphs Transformations of the Sine and Cosine Graph – An Exploration By Sharon K. O’Kelley This is an exploration for Advanced Algebra or Precalculus teachers who have introduced their students to the basic sine and cosine graphs and now want their students to explore how changes to the equations affect the graphs. This is an introductory lesson whose purpose is to connect the language of Algebraic transformations to the more advanced topic of trignonometry. (A key follows the end of the exploration.)

Annandale High School - Welcome Geometry You will use compass constructions to create a poster of the Pythagorean spiral. The result needs to be colored and may be creatively decorated. You will need to turn in your poster and a separate piece of paper with all calculations. Materials: + poster board + ruler + compass + pencil, colored pencils or markers from Wolfram MathWorld A special function which is given by the logarithmic derivative of the gamma function (or, depending on the definition, the logarithmic derivative of the factorial). Because of this ambiguity, two different notations are sometimes (but not always) used, with defined as the logarithmic derivative of the gamma function , and Transformation of Trigonometric Graphs OML Search In these lessons, we will learn how Trigonometric Graphs can be transformed. the amplitude and vertical shift of Trigonometric Graphs the period and phase shift of Trigonometric Graphs

Fibonacci GCD's, please Fibonacci numbers exhibit striking patterns. Here's one that may not be so obvious, but is striking when you see it. Recall the Fibonacci numbers: n: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14,... fn: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377,...

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