How Many Drivers? Investigate the Slope-Intercept Form of a Line

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Algebra I: Linear Functions

Level

9-12

Activity Time

50 Minutes

Software

TI Connect™

TI Calculator

TI-84 series

Applications

Transformation Graphing for TI-83 Plus and TI-84 Plus

Other Materials

This is Activity 1 from the EXPLORATIONS Book:
Exploring Mathematics with the Transformation Graphing Application.

Resource Types

Lessons

Report an Issue

How Many Drivers? Investigate the Slope-Intercept Form of a Line

Activity Overview

In this activity, students will be introduced to the slope-intercept form of a linear equation. They will recognize the effects of changes in the slope and y-intercept on the graph of a line. Students will use the Transformation Graphing application to find an approximate linear model of the actual data. They will determine the line of best fit on a scatter plot by using the guess-and-check strategy to manipulate the values of the slope and y-intercept.

Before the Activity

Install the Transformation Graphing application on the students' graphing calculators using one of these two methods:

TI-Connect™, a TI Connectivity Cable, and the Unit-to-Unit Link Cable

TI-Navigator™ "send to class" feature

See the attached PDF file for detailed instructions for this activity

Print pages 1-12 from the attached PDF file for your class

During the Activity

Distribute pages 1-12 to your class.

Follow the Activity procedures:

Plot graphs for the linear equation using the given values of m and b and observe how the graphs change with variations in m and b

Write a hypothesis about the effects of m and b on the graph of a line

Use the Transformation Graphing application to investigate the effects of varying m and b

Notice that the value of m affects the slope of the line and the value of b affects where the line crosses the x-axis

Observe the changes in the graph by varying the value of m and b, and compare the results with the hypothesis

Prepare a scatter plot showing the relationship between the population and number of licensed drivers in selected states

Estimate the value for the slope and y-intercept of a linear model that represents the data

Find a line that represents an approximate fit of the data

Determine the slope and the y-intercept, and compare with the estimated values

Predict the number of licensed drivers for a given population size and verify the prediction

After the Activity

Students will complete the Worksheet and answer questions.

Review student results:

As a class, discuss questions that appeared to be more challenging

Re-teach concepts as necessary

Download Files

Download All Files (ZIP)

Before the Activity Files

Teacher Notes Appendix A PDF Teacher Notes Appendix B PDF Teacher Notes PDF

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Algebra I: Linear Functions

Level

9-12

Activity Time

50 Minutes

Software

TI Connect™

TI Calculator

TI-84 series

Applications

Transformation Graphing for TI-83 Plus and TI-84 Plus

Other Materials

This is Activity 1 from the EXPLORATIONS Book:
Exploring Mathematics with the Transformation Graphing Application.

Resource Types

Lessons

Report an Issue

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How Many Drivers? Investigate the Slope-Intercept Form of a Line

Transformation Graphing for TI-83 Plus and TI-84 Plus

How Many Drivers? Investigate the Slope-Intercept Form of a Line

Before the Activity Files

Transformation Graphing for TI-83 Plus and TI-84 Plus

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