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Bean Investigation Presentation

This presentation explores the growth pattern of beans over four terms. Starting with 7 beans in Term 0, the number increases by 5 beans for each subsequent term, resulting in 12 beans in Term 1 and 17 beans in Term 2. The algebraic rule governing this pattern is expressed as ( y = 5x + 7 ), where ( x ) represents the term number. Detailed visual sketches illustrate the relationship between the original number of beans, the rate of change, and the y-intercept. This investigation emphasizes the connection between linear equations and real-world growth patterns.

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Bean Investigation Presentation

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  1. Bean Investigation Presentation By:Serhiy Smirnov Period:1

  2. Sketch of Terms 0-3 Term 0 Term 1 Term 2 Term 3

  3. Rate of Change Term 0 has 7 beans and each time there is a different term, the number of bean increases by 5 beans so in term 1 there will be 12 beans and in term 2 there will be 17 beans and so on.

  4. Table of terms 0-6

  5. Algebraic Rule (Equation) My algebraic rule for my pattern is: 5x+7=y because you multiply the term # by 5 and then add 7 to the term number and you get your total number of beans.

  6. Color coded sketch of Term 0-3 Term 0 Term 1 Term 2 Term 3

  7. Connection between green beans and rate of change For every new term, 5 beans are added to the pattern. There are 7 beans in the first term so there are 5 more beans in term 2 so there are 12 beans in the 2nd term and 17 in the third term and so on.

  8. Color coded sketch of original beans

  9. Connection between red beans and y-intercept The y-intercept is the number of original red beans in the pattern.

  10. Slope intercept formula y=mx+b • M represents the slope(rate of change) in the formula • B represents the y-intercept in the formula

  11. Equation for linear pattern 5x+7=y My equation makes sense for my pattern because you multiply the term # by 5 and then add 7 to the answer to get the total number of beans in that term.

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