Math of Mantids: Linear Piecewise Functions

Math of Mantids: Home

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Summary

Students will learn about mantids’ eating habits and how they are used in biological studies. Given data from mantid observations (satiation, reaction distance), students will create a scatter plot and determine an appropriate model.  Students will then justify the goodness of fit of the model and make predictions using the model. Students will then interpret those predictions.

 

Learning Objectives

By the end of this lesson, the students will:

  • use their graphing calculator to create a scatter plot of the data.
  • determine an appropriate linear model for the Mantid data.
  • use their graphing calculator to calculate residuals for the Mantid data.
  • be able to interpret the goodness of fit of their model based on the residuals.
  • interpret the slope and intercepts of the model in the context of the problem.   
  • use their model to make predictions and interpret their meaning.

Grade Level

High school grades 9-12/Common Core Standards Math I

 

Time Required

90-minutes per lesson (180 minutes total)

 

Precedents

Before starting this lesson, students should be able to:

  • use a graphing calculator to enter data and create a scatter plot
  • determine a linear function given data (either from points or by using the Linear Regression option on the graphing calculator)
  • understand function notation


Materials and Technology Needed

  • graphing calculator for each student
  • a means of projecting video animation


Math Common Core Standards

  • Math.A-REI.1
  • Math.A-REI.11
  • Math S-CED.2
  • Math.F-BF.1a
  • Math.F-IF.1
  • Math.F-IF.2
  • Math.F-IF.4
  • Math.F-IF.5
  • Math.F-IF.7a
  • Math.F-IF.7b
  • Math.F-IF.7e
  • Math.F-IF.8b
  • Math.F-LE-1c
  • Math.S-ID.6
  • Math.S-ID.6b
  • Math.S-ID.6c
  • Math.S-ID.7

 

Keywords

Mantid | satiation | reaction distance | piecewise function | linear function | residuals | linear data | predictions | function composition | closed form function | recursion | iteration | predictions

 

Creator

Donita Robinson, Dean of Mathematics, North Carolina School of Science and Mathematics Links to an external site.

 

CC Attribution Non-Commercial Share Alike This course content is offered under a CC Attribution Non-Commercial Share Alike Links to an external site. license. Content in this course can be considered under this license unless otherwise noted.