The Slope of the Tangent Line (Part2)

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Algebra I: Functions and Relations

Level

9-12

Activity Time

60 Minutes

Software

TI Connect™

TI Calculator

TI-84 series

Applications

CellSheet™ for TI-83 Plus and TI-84 Plus

Other Materials

This is Activity 7 from the EXPLORATIONS Book: Exploring Mathematics with the CellSheet™ Application

Resource Types

Lessons

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The Slope of the Tangent Line (Part2)

Activity Overview

In this activity, students graph the cubic and quadratic functions. They also graph the slope values of the tangent lines for each of the function graphs.

Before the Activity

Install the CellSheet on the calculator using the TI Connect™, TI-Connectivity cable, and Unit to Unit cables

See the attached PDF file for detailed instructions for this activity

Print pages 67 - 72 from the attached PDF file for your class

During the Activity

Distribute the pages to your class.

Follow the Activity procedures:

Use the quadratic equation and for different x-values find the corresponding y- values

Determine the slope of the secant line that passes through 2 points

Determine the Δx - slope relationship

For values of x, use the cubic equation to find the corresponding y-values

Determine the slope of the secant line and Δx - slope relationship

Compare the Δx - slope pattern for the cubic quadratic function curves

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 B PDF Teacher Notes PDF

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Algebra I: Functions and Relations

Level

9-12

Activity Time

60 Minutes

Software

TI Connect™

TI Calculator

TI-84 series

Applications

CellSheet™ for TI-83 Plus and TI-84 Plus

Other Materials

This is Activity 7 from the EXPLORATIONS Book: Exploring Mathematics with the CellSheet™ Application

Resource Types

Lessons

Report an Issue

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The Slope of the Tangent Line (Part2)

CellSheet™ for TI-83 Plus and TI-84 Plus

The Slope of the Tangent Line (Part2)

Before the Activity Files

CellSheet™ for TI-83 Plus and TI-84 Plus

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