The Slope of the Tangent Line (Part1)

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Algebra I: Quadratic Functions

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 6 from the EXPLORATIONS Book:
Exploring Mathematics with the CellSheet™ Application

Resource Types

Lessons

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The Slope of the Tangent Line (Part1)

Activity Overview

In this activity, students use the CellSheet™ Application to approximate the slope of a line tangent to a curve.

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 57 - 62 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 for the curve and the x-value of the point of contact of the tangent to find the corresponding y-value

Set Δx as 1 unit to find another value of x and the corresponding y-value

Find the slope of the secant line joining the two points

Use smaller values of Δx (for better approximation of the slope of the tangent line) and determine the slopes of the new secant lines

Observe the pattern between the Δx values and slopes of the lines

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: Quadratic Functions

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 6 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 (Part1)

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

The Slope of the Tangent Line (Part1)

Before the Activity Files

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

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