Kami Export - QL Unit 3 Project Magic Rectangle

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Illinois State University *

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Mathematics

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Jan 9, 2024

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pdf

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1 Quantitative Literacy & Statistics Name: Unit 3: Analyzing & Optimizing Our World Project: “ Magic Rectangle ” Period: Date: Part 1: Sparking Curiosity Watch the video: Magic Rectangle (Act 1) https://youtu.be/aSEzmongRhg What do you notice? What do you wonder? Watch the step-by-step version of the video. https://youtu.be/OcTp_xK4Omo Driving Question When is the area the greatest? Describe the shape. Part 2: Act 2: Reveal Information to Fuel Sense Making Watch the video: Magic Rectangle (Act 2) https://youtu.be/r8kELhNPQyE Record your data from the video in the following table. The first dimensions are recorded for you.

2 Trial n Length (L) Width (W) Area (A) 0 80 64 1 85 2 90 3 95 4 100 Calculate the area for each data set. Place your values on the table. How much is the Length changing by each time? How much does the Width change by each time? Length: ______________________________ Width: ______________________________ Plot a graph of your data for Area, A versus trails, n.

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