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Tangents – trigonometry – math

By |2018-04-11T09:30:18+00:00July 29th, 2017|Math|

Tangents: This line is tangent to a circle. What is a tangent? A tangent, like a sine or a cosine, is a mathematical way of thinking about a kind of movement that happens in nature. A tangent is really just a rephrasing of the same information we already had for calculating the sine function. Lines and circles [...]

Sine waves – trigonometry – math

By |2017-07-29T17:59:39+00:00July 29th, 2017|Math|

Sine wave In order to save energy, many, many things in nature move in a kind of repeated pattern we call a sine wave: water waves, sound waves, light waves, electricity, radio waves, and microwaves, for instance. The waves move in one direction quickly, then slow down until they stop, and begin moving [...]

Cosine – Trigonometry – Math

By |2017-07-29T17:48:21+00:00July 29th, 2017|Math|

Right triangle and cosine A cosine, like a sine, is a mathematical way of thinking about a kind of movement that happens in nature. A cosine is really just a rephrasing of the same information we already had for calculating the sine function. One way to describe these changes is with the sine function. Choose [...]

What is a rhombus? Simple geometry

By |2018-04-23T16:01:48+00:00July 29th, 2017|Math|

This is a rhombus, divided so you can figure out the area. A rhombus is a kind of quadrilateral that has two sides that are parallel to each other, and another two sides that are parallel to each other. A rhombus is a special kind of parallelogram, and squares and rectangles are special kinds of rhombus. To figure out the perimeter of the rhombus, you [...]

Rectangle – area and perimeter

By |2018-04-23T16:01:22+00:00July 29th, 2017|Math|

This is a rectangle. A rectangle is a flat shape, in one plane. It's defined by four points at the four corners. A rectangle has two sides of equal length opposite each other, and two other sides of equal length opposite each other, and four corners, all right angles (90 degree angles). A square is a special kind of rectangle. [...]

What is an isosceles triangle? Simple geometry

By |2017-07-29T10:02:57+00:00July 29th, 2017|Math|

This is an isosceles triangle. Isosceles triangles have at least two sides that are exactly the same length. This forces two of their angles to also be acute angles of exactly the same size. In this blue triangle, the two longer sides are the same length, which forces the two bottom angles to be the same size. If the [...]

Area of a triangle – Geometry

By |2017-07-28T00:05:09+00:00July 28th, 2017|Math|

Area of a triangle To figure out the area of a triangle, multiply the base by the height of the triangle, and then divide by two: (Base x Height)/2. That's because the height times the base gives you the area of a quadrilateral, and in this case it's the area of the quadrilateral made by putting together [...]

What’s an angle? Geometry made simple

By |2017-07-29T10:01:22+00:00July 27th, 2017|Math|

Two lines cross and form four angles Where any two lines cross each other, they form four angles. These angles are parts of a circle (as you can see from the green circle segments), so, like a circle, they have to add up to 360 degrees. If the two lines are perpendicular to each other, then the four angles [...]