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Other Proportion Problems Slideshow 32, Mathematics Mr Richard Sasaki Room 307
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OBJECTIVES UNDERSTAND HOW K AFFECTS Y = KX BEING ABLE TO CALCULATE MIXED WORDED PROPORTIONAL VALUES UNDERSTAND HOW LENGTHS AND AREAS RELATE TO ONE ANOTHER
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DIRECT PROPORTION Hopefully after completing your project you found out that k causes the following effect…
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NOTATION Recently, some new notation is being used so I want to make sure that you all understand what it means.
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MIXED PROPORTION QUESTIONS We’ve learned all we need to for 7 th grade proportion now. We just need to be able to identify what kind of question is being asked in a particular context. This type of question can be very challenging. You can only answer it when you know exactly what it means. Understanding the meaning is the challenging part.
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EXAMPLE What kind of proportion is this referring to? Direct Proportion What do the two variables represent?
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Direct Proportion She is drinking at the same rate. Direct Proportion 100 - # of CDs left (this means the number of CDs sold)
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ONE LAST THING TO THINK ABOUT… If it takes one man an hour to unload bricks from a van, how long would it take five men? (Let’s forget assumptions for a minute.) More men to help will make things quicker, not slower so be careful! We would do 1 divided by 5 = 12 minutes.
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PROPORTION IN SHAPE Let’s move onto something a bit easier! A cm 2 X cm Y cm If the area A remains constant, what is the relationship between X and Y?
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Direct Proportion Inverse Proportion Direct Proportion k = 1 (they are the same) k = 4 Directly proportional 21cm Directly proportional
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