Geometry

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Math Review of Triangle Inequality
Math Review of Triangle Inequality 150 150 Deborah

Overview Students can connect algebra to geometry by expressing geometric inequalities in compound inequality form. Since the sum of the lengths of any two sides of a triangle is greater…

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Math Review of Applications of Radical Expressions with Right Triangles
Math Review of Applications of Radical Expressions with Right Triangles 150 150 Deborah

Overview The relationship of the length of the legs of the right triangle to the hypotenuse is expressed by one of the most famous equations in geometry, the Pythagorean Theorem.…

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Math Review of Roulettes and Cycloids
Math Review of Roulettes and Cycloids 150 150 Deborah

Overview Roulettes are special types of curves that are made when one curve is rotated around another by a fixed point. They are in Euclidean space, and can be described…

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Math Review of Platonic Solids and Polyhedra
Math Review of Platonic Solids and Polyhedra 150 150 Deborah

Overview There are infinitely many regular polygons. However, there are a fixed number of regular polyhedra, called Platonic solids. Mathematicians use the definitions of the regular polygons and the characteristics…

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Math Review of More Fun with Tau
Math Review of More Fun with Tau 150 150 Deborah

Overview The quantity represented by the Greek letter tau (6.283185…) is the proportion of the circumference of a circle to its radius. The use of tau simplifies the relationships between angles…

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Math Review of Pi and Tau
Math Review of Pi and Tau 150 150 Deborah

Overview The number represented by the Greek letter pi (3.14159…) is one of the most famous irrational numbers in mathematics. It is the ratio of the circumference of a circle…

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Review of Mathematical Patterns in Art, Music, and Dance
Review of Mathematical Patterns in Art, Music, and Dance 150 150 Deborah

Overview Mathematical patterns underlie everything in the natural world, including those human extensions of the natural world that surround us. Some of those mathematical patterns are expressed in the arts,…

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Review of Mathematical Patterns and Archaeology
Review of Mathematical Patterns and Archaeology 150 150 Deborah

Overview Mathematical patterns underlie human activity, as far back as we can discover ancient artifacts. Architectural wonders such as the Parthenon, the Pyramids, and other ruins show that civilizations were…

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Back to School Review of Space Figures
Back to School Review of Space Figures 150 150 Deborah

Overview Space figures exist in three dimensions. Some examples include spheres, cubes, tetrahedra, polyhedra, cylinders, cones, and other types of solids. Space Figures Add Depth Plane figures such as polygons…

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Back to School Review of Plane Figures
Back to School Review of Plane Figures 150 150 Deborah

Overview Plane figures in geometry include points, segments, lines, rays, and angles, polygons, curves, and circles. They appear on a flat plane. Points, Segments, Lines, Rays, and Angles Think of…

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