Casio STAT 2 Manuel d'utilisateur télécharger pdf (Page 78)

Activity 14

Bouncing Balls

Topic Area: Transformations to Achieve Linearity

NCTM Standards:

• Select and use appropriate statistical methods to analyze data

• For bivariate measurement data, be able to display a scatterplot,

describe its shape, and determine regression coefficients, regression

equations, and correlation coefficients using technological tools (9-12)

• Identify trends in bivariate data and find functions that model the data

or transform the data so that they can be modeled (9-12)

Objective

The students will be able to perform a transformation of data to linearize an

exponential curve.

Introduction

Transformations to achieve linearity can be helpful especially when dealing with

data, especially if the data displays a logarithmic or square root relationship. To

do this, the student will take the logarithm or square root of both sides of the

equation to give a straight line. After the transformation, the scatterplot of the

data should be linear. The students must use the reverse transformation to

interpolate and extrapolate information from the graph.

In this activity, the students will measure the decay of the height of a bouncing

ball. They will measure, record, plot, and complete a transformation to achieve

linearity for their data. They will also use that to extrapolate information from

the equations given.

The students should be familiar with the following vocabulary:

Transformation Extrapolate

Linearity Interpolate

Regression

Slope

Getting Started

For this activity you will need the Casio fx-9750G Plus graphing calculator, a

rubber ball (super ball), and a measuring tape (2 meters) for each pair of

students.

Teaching Notes

1 2 ... 73 74 75 76 77 78 79 80 81 82 83 ... 96 97

Pas de commentaire

Casio STAT 2 Manuel d'utilisateur Page 78