Maths 11.4 Coordinate Graphs 6

PhET Sim: Curve Fitting

URL: https://phet.colorado.edu/en/simulation/curve-fitting

Simulation Guide: curve-fitting-html-guide_en

Topics

  • Polynomials
  • Error Analysis
  • Data

Description

Drag data points and their error bars and watch the best-fit polynomial curve update instantly. You choose the type of fit: linear, quadratic, or cubic. The reduced chi-square statistic shows you when the fit is good. Or you can try to find the best fit by manually adjusting fit parameters.

Sample Learning Goals

  • Explain how the range and uncertainty and number of data points affect correlation coefficient and chi squared
  • Describe how correlation coefficient and chi squared can be used to indicate how well a curve describes the data relationship
  • Apply understanding of Curve Fitting to designing experiments

 

This activity aligns with learning outcomes for Year 11/Form 5 Solomon Islands Mathematics Curriculum:

Unit 4 Coordinate Graphs 6

  • Identify, sketch and draw accurately various common graphs
    • parabolas
  • Solve simultaneous equations using graphs where one equation is linear and the second is a quadratic equation in the form y = ax²
  • Solve quadratic equations using graphical methods
  • Apply the graphical solution of quadratic equations to problem situations

 

All simulations available at http://phet.colorado.edu are open educational resources available under the Creative Commons Attribution license (CC-BY).

Permission is granted to freely use, share, or redistribute PhET sims under the CC-BY license.

Attribution: PhET Interactive Simulations
University of Colorado Boulder
https://phet.colorado.edu

No comments yet! You be the first to comment.

Leave a Reply

Your email address will not be published. Required fields are marked *

This site uses Akismet to reduce spam. Learn how your comment data is processed.