Section 7
- Direct Proportionality to Power Functions
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YouTube video, Nebraska Wesleyan University, Austin Mohr, Dept. of Mathematics, Published on Aug 16, 2014 - Encyclopedia of Mathematics. Power functionPower function. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Power_function&oldid=35618
- Math Algebra (all content) Rational expressions, equations, & functions Direct and inverse variation
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Khan Academy - Surface area and volume
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Whether wallpapering a footlocker or filling a cylinder with corncobs, a knowledge of three-dimensional shapes is essential. This program demystifies the subjects of surface area and volume by sharing solid information backed up by the surface area formulas for right cylinders and spheres and the volume formulas for right prisms, cylinders, and spheres. “Surface Area and Volume.” Films Media Group, 1999, fod.infobase.com/PortalPlaylists.aspx?wID=97832&xtid=10233. Accessed 10 June 2019. - Rational Functions
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In this program submarines, evolution, and telescopes are all part of a discussion of rational functions. In the first segment, functions are used to calculate how much water pressure a submarine can withstand before it implodes. Studying the ratio of surface area to volume of both a snake and a polar bear in the second segment yields clues about how animals have adapted to their environment. Finally, the inner workings of the Hubble space telescope are explained in terms of rational functions. “Rational Functions.” Films Media Group, 2011, fod.infobase.com/PortalPlaylists.aspx?wID=97832&xtid=44714. Accessed 10 June 2019. - Area and Volume
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Contents: Volume and Density (1:53) -- Geometry of Density (2:01) -- Density Exploration on TI-Nspire (3:30) -- Hull of Titanic: Triangular Prism (2:08) -- Density and the Hull of the Titanic (3:33) -- Calculations: Sinking of the Titanic (2:40) -- Surface Area of Pyramids (3:26) -- Isosceles Triangle on TI-Nspire (3:35) -- Length and Height of Pyramid (1:33) -- TI-Nspire Concepts (2:05) -- Construction of Rhombus Shape (2:56) -- Surface Area of Glass Pyramid (1:45) -- Surface Area to Volume Ratio (2:29) -- Shape Determination (0:55) -- TI-Nspire Exploration (2:14) -- Energy Efficiency of Tall Buildings (1:35) -- Credits: Area and Volume (0:10)
411 SAT Algebra and Geometry Questions by Call Number: E-bookISBN: 1576855600Publication Date: 2007-03-20
- Direct and inverse variationTo develop an understanding of direct vatiation, in Part I, Peggy Lynnѫs students simulate oil spills on land and investigate the relationship between the volume and the area of the spill. In Part II, they develop the concept of inverse variation by examining the relationship of the depth and surface area of a constant volume of water that is transferred to cylinders of different sizes. Annenberg/CPB, 2004.
- Inversely ProportionalWeisstein, Eric W. "Inversely Proportional." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/InverselyProportional.html
- Math Algebra (all content) Rational expressions, equations, & functions Direct and inverse variation
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Khan Academy - VariationProvides examples of special functions in the form of direct variation and inverse variation, with a discussion of combined variation and the constant of proportionality. These concepts are explored in relation to polynomials and assorted equations, with applications from chemistry, physics, astronomy, and the food industry. Annenberg /CPB, 1991.