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Home » » Courses » Mathematics » Advanced Mathematics 3205 (delisted) » Unit 01 » Set 02 ILO 01 » Get Ready
Outcomes
In this lesson you will
- use a CBR or CBL system to collect and analyze non-linear data involving moving objects
- use the shape of a graph, the nature of a real-world phenomenon and common differences to determine the type of curve of best fit.
- if technology is not available, use given data to generate a scatter plot and regression analysis to find the curve of best fit.
By the end of this section students will be able to:
- model real-world phenomena using quadratic functions
- sketch graphs from descriptions, tables, and collected data
- analyze scatter plots, and determine and apply the equations for curves of best fit, using appropriate technology
- describe and translate between graphical, tabular, written, and symbolic representations of quadratic relationships
- analyze tables and graphs to distinguish between linear, quadratic, and exponential relationships
- describe and interpret domains and ranges using set notation
Introduction
Mathematical Modeling, Book 3 p. 15 - 23
If the technology is available in your school, this section will provide an investigation of a moving object and how its time versus distance graph can be interpreted. From this jump off point, regression analysis can be used to find a curve of best fit. You will have to determine which type of regression to use based on the shape of the graph, the situation being studied, and the non-linear types that are familiar to you.
This section should take 3 hours to complete.
Prerequisites
To be successful in this lesson, it would be helpful to know the following:
- using technology to graph linear and non-linear functions
- using technology to find the equation of the curve of best fit