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Building Tables for Inverse Proportionality

Building Tables for Inverse Proportionality. Slideshow 30, Mathematics Mr Richard Sasaki Room 307. Objectives. Comparing tables of inversely proportional variables Starting to see how graphs in the form y=k/x form. Project. A reminder about the following deadlines….

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Building Tables for Inverse Proportionality

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  1. Building Tables for Inverse Proportionality Slideshow 30, Mathematics Mr Richard Sasaki Room 307

  2. Objectives • Comparing tables of inversely proportional variables • Starting to see how graphs in the form y=k/x form

  3. Project A reminder about the following deadlines… 7A – Thursday, 17th October 7B – Thursday, 17th October 7C – Thursday, 17th October Feel free to hand yours in today! On Thursday, “I Left it at home” is not an excuse.

  4. proportion “Hi, I am stupid! I know what direct proportion and inverse proportion are!” Direct proportion – when gets bigger, so does . Inverse proportion – when gets bigger, gets smaller. Right? No!!!

  5. proportion k > 0 Direct Proportion - when gets bigger, so does …when… Inverse proportion – when gets bigger, gets smaller….when… Umm…It’s much more complicated. Inverse proportion seems clear when but when < 0 or , it can be confusing. Please complete the worksheet investigating inverse proportion.

  6. Answers We’re interested in the relationships more than the numbers in the tables. It’s easier to say higher and lower than smaller and bigger. For … The higher k is, the higher always is. For k > 0… As increases, decreases. For k < 0… As increases, increases.

  7. Answers For … The higher k is, the lower always is. For k > 0… As increases, decreases. For k < 0… As increases, increases. The k parts are exactly the same, but this still might be hard to visualise. So let’s build a graph!

  8. Answers I really hope you got something like this! There’s nothing linear about that is there! Lastly, try the activote exercise!

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