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- The Hot Tub: Interpreting Graphs - Cynthia Lanius
Questions to answer about a graph... Notice the connection between the slope of the lines and the rate of change of the water depth. On what segments is the slope positive, and the water depth increasing? negative, and the water depth decreasing? On what segments is the slope 0, and the water depth is constant?
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- Magnet/Mathematics Connections: Morse High School - Suzanne Alejandre, for the Math Forum
Morse High School is the Center for Technology and Pacific Rim Studies. The school magnet focuses on five career paths designed to provide a multifaceted, enriched magnet program: Aeronautics, Engineering, Science, Tourism and Languages. These pages provide Internet lessons to use in mathematics classes in support of the magnet specialized areas, together with general resources for Internet enrichment and suggestions for developing additional lessons.
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- Mathematics of Cartography - Cynthia Lanius
A map is a set of points, lines, and areas all defined both by position with reference to a coordinate system and by non-spatial attributes. These pages discuss how maps are used, give examples of different kinds of maps, and cover map history and math topics - lines, points, areas, coordinates, etc., in particular scale, coordinate systems, and projection. Also Problems, Resources, Careers in mapmaking, Teachers' Notes, and References.
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- River Crossing (Math Exploration Quilt) - Rik Littlefield; Hanford School
You want to cross a river to reach a point exactly opposite where you are currently standing. Explore this problem step-by-step, encountering the following basic ideas: 1) Pythagorean theorem; 2) time = distance / speed; 3) distance = time * speed; 4) sums and differences of distances; and 5) the arcsine function for right triangles (which we didn't really need to solve the problem, just to get the angle expressed in a familiar way).
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- Stressed Out: Slope as Rate of Change - Cynthia Lanius
It's the night of the big game. You're in the locker room. The coach is pumping the team up. "Now, I know you people are nervous. That's okay, in fact, that's what we want. You're going to perform better on the court (stage) if you're a little nervous." Does the graph shown confirm what the coach told you? Write a statement that describes performance as stress increases... This lesson introduces basic knowledge and skills important to a study of functions in algebra and lays the groundwork for calculus.
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The Math Forum is a research and educational enterprise of the Goodwin College of Professional Studies.