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Additional info for Mathematics in Context: Building Formulas: Algebra
Be prepared to explain your answer without making calculations. 17. Suppose one can has double the diameter of another can. a. Do you think the amount of liquid that fits in the larger can will double? Give mathematical reasons to support your answer. b. What can you tell about the surface area of the larger can compared to that of the original can? Section D: Formulas and Geometry 39 D Formulas and Geometry Pyramids Nicolas, an artist, makes clocks in the shape of a pyramid by pouring plastic into a mold.
What happens to the tread (T ) if you add 1 cm to the rise (R) and are using the rule? Can you see this on your graph? 30 Building Formulas Using Formulas C 25. Using the rule, when do R and T have the same value? Here is another rule that helps in designing stairs that are easy to climb. Rise Յ 20 cm This means that the rise is less than or equal to 20 cm. 26. a. Why would this rule make stairs easier to climb? b. Find a way to show this rule on your graph. c. Find measurements for some stairs that fit both rules.
Comment on Bert’s answer. d. ” Is Frances right? Explain. e. ” Is Mohamed right? Explain. 56 Building Formulas Section A Patterns 1. Yes, they describe the same pattern. Here are some sample strategies you could use: Strategy 1 A pattern could be: Path 2 Path 3 Path 4 T ؍P ؉ 2 ؉ P can be explained as a row of P orange tiles, 2 white tiles, and another row of orange tiles. T ؍2P ؉ 2 can be explained as 2 rows of P orange tiles and 2 white tiles. T ؍2(P ؉ 1) can be explained as 2 rows of P orange tiles and a white tile.