stat.gsp - Calc I in Stat I in Calc I

    During the Spring 2025 semester, I taught Calc I and Stat I. The calc had recent support material, and the stat had substantial support material but it was "older." To supplement the statistics, I took the calc material and used it in a video.

    Beginning at 11:23 minutes into the video, and ending at 15:46 of the video, I used "The cumulative impact of the function from a to b" found in ReimannSums.gsp to teach the probability of a score being within x standard deviations of the mean or to compute p( a < z < b). See the Teachers' Guide at "Reimann Boxes & Sums, and Integration" and also Probability Notes for Calc I and also use fX.f'X.f''X.intX.gsp.

    That spreadsheet and 5 minute video clip was the genesis of this page and the spreadsheet.   Enjoy.

• It facilitates a visual and concrete, analytic and numeric, approach to topics in a Statistics I course.
   
• It DOES NOT REALLY TAKE A DERIVATIVE. It uses [ f(x +.005) - f(x - .005)]/.01 as an approximation of the derivative.
   
• It DOES NOT INTEGRATE. It uses sums of the areas of 32 Reimann boxes plotted to produce a plot of a cummulative curve.
   
• It DOES NOT present an algebraic approach or deal with computation problems and solutions.
   
• It focuses on the topics of uniform, standard normal, and normal distributions, stanines, between and within a interval, p(x < x.test), p(z< z.test), p(a < z < b), confidence intervals, alpha, p, hypothesis testing images.
   
• It provides the calc I content to explain how the spreadsheet was constructed and the use of the term "cumulative function," as in cumulative probability, to facilitate use of the "Mother Tongue" rather than just "mathematics." See The Languages of the Math Classroom

    All material on this site is free. (Please cite the source.)   The sketchpads/resources from which this material is taken include Reimann.htm, limit.gsp, DerAnyFx.gsp, and ReimannSums.gsp.