01:640:107 Lecture Notes - Lecture 25: Lemonade
16 Dec 2016
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Document Summary
We considered functions last time, as a part of our exploration of algebraic reasoning and pattern identification; a function is a rule relating inputs and outputs (though we gave a more formal definition as well). The horizontal axis is customarily used to describe the input quantity, and the vertical axis the quantity related to it (the output). We consider three geometric examples of functions (patterns) where we collect data and record that data in a table before then considering a graph. We consider questions about the perimeter length, area and volume of the square and cube of given side lengths 1, 2, 3, 4, and 5. One can actually work with manipulatives (unit segments, squares, and cubes) with young students to find these values directly, rather than calling on any formulas - this is how the formulas should be motivated.
