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Water In A Bucket Activity A data collection, organization, and linear modeling activity for multiple grade levels. Algebra For All 13 May, 2011 Presented by Michelle Edlbeck, Gail Everhart, Lesley Hicks, Scott Martin, Brenda Quaak, Douglas Quaak, Jamie Tuch

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Areas of Focus for each level Data collection at all levels 6 th grade – Proper presentation table & scatter plot 7 th grade – Statistics mean median mode – Line of best fit – Slope – Data into words

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Areas of Focus for each level Algebra 1 – Equation to model of best fit – Interpolation or extrapolation – Domain & range Algebra 2 – Non-linear relationships – Balloon - # of breaths vs diameter activity

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Data Collection

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Data Table

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Scatter Plot _____________________ Label _______ Units _____________________ Label _______ Units Scale _________________ Title

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Scatter Plot

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Statistics Depth of water – Mean – Median Weight of bucket with water – Mean – Median No mode for either data set

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The best fit line and the meaning and nature of slope Positive slope – As the water rises the weight increases

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Linear model

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Equation of the line – Slope 18.22 ounces of water per inch – Y-intercept 0.67 ounces (weight of the empty bucket 3 in. of water would weigh 55.33 oz 20 oz of water would have a depth of 1.06 in. 10 inches of water would weigh 182.87 oz

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Domain and range The mathematical model is only valid within the confines of the bucket. Domain- the bucket is 7.5 inches deep so Range is limited by the domain and the original weight of the bucket thus.

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Non-linear Model Balloon activity – breaths vs circumference.

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Questions

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