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IM Algebra 1 Lesson 1.13: More Standard Deviation

IM Algebra 1 Lesson 1.13: More Standard Deviation
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2020-11-17 16:09
FunctionCoordinate GeometryProbability & StatisticsSlider AnimationGraphing
①This interactive GeoGebra lesson, part of Illustrative Mathematics Algebra 1 Unit 1 Lesson 13, deepens students' understanding of standard deviation through dynamic visualizations and step-by-step exploration. ②Core mathematical concepts include standard deviation, variance, data spread, deviation from the mean, and connections to linear regression residuals, random experiments, and even geometric volume. ③Construction highlights: the file contains numerous objects such as points A, B, C, D, E, F, G, H, buttons button1–button4 to trigger different stages, sliders a, b, c, d for parameter control, text objects text1–text5 for instructional labels, an image pic1, and regression-related objects p1, p2 with distances d1, d2, showcasing a multi-module interactive design. ④This resource is suitable for upper middle school to high school algebra classes, serving as a classroom demonstration or self-paced exploration tool for teachers and students to grasp variability and statistical reasoning.

GeoGebra Commands & Parameters

  1. Point A(-5, -3)
  2. Point B(5, -3)
  3. Boolean p1(false)
  4. Boolean p2(false)
  5. Boolean d1(false)
  6. Boolean d2(false)
  7. Point C(-5.45, -4.03)
  8. Point D(5.568, -4.052)
  9. Point E(-4.94, -5.46)
  10. Point F(4.06, -5.46)
  11. Point G(-5.58, -4.28)
  12. Point H(4.42, -4.28)
  13. Numeric a(1)
  14. Numeric b(1)
  15. Numeric c(1)
  16. Numeric d(1)
  17. Point I(-6.222, -4.046)
  18. Point J(4.1028, -4.046)

AI Drawing Prompt Reference

Create a graph featuring two points, four sliders, five text labels, an image, and two regression-related objects with associated distances. Start by plotting the two points, then add four sliders for parameter adjustments, place five text labels for instructional purposes, insert an image, and finally display the two regression-related objects along with their distances, showcasing a dynamic visualization suitable for exploring statistical concepts like standard deviation and variance.
The prompt above was compiled from the original drawing commands and is for reference only.