Activities

Download
- Download All Files (ZIP)
- Teacher Files
- Teacher Notes PDF
- TI-Nspire Solution TNS
- Student Files
- Student Activity PDF
- Student Activity DOC
Alignment
- Standards Alignment
- Textbook Alignment
Subject Area
- Maths: Algebra II: Logarithms and Exponentials
Author

Texas Instruments
Level

9-12
Activity Time

75 Minutes
Device
- TI-Nspire™ CX/CX II
- TI-Nspire™ CX CAS/CX II CAS
- TI-Nspire™ Navigator™
- TI-Nspire™
- TI-Nspire™ CAS
Software

TI-Nspire™
TI-Nspire™ CAS
TI-Nspire Version

3.2
Other Materials

By Lynne Plettenberg
Report an Issue

Properties of Logarithms

Activity Overview

Students use a combination of algebra and graphing to discover the properties of logarithms. Problems 1 and 2 cover the Power and Product Properties of logarithms, respectively; Problem 3 covers the Quotient Property in addition to introducing log-log "paper", a grid with a logarithmic scale on each axis.

Key Steps

Students are introduced to the properties of logarithms. They will use the properties to answer the question.
How can you simplify the logarithm of a power?
Using a spreadsheet, students calculate the value of b = a² from the values of a. Then, students will graph the data from Columns A and B as a scatter plot and observe the resulting shape.
Students will calculate the values of x = log(a) and y = log(b) and then graph them in a scatter plot on page 1.9.
Students will view how to rewrite the logarithmic equation. They will see the Power Property of Logarithms revealed.

Control your cookie preferences

You can control your preferences for how we use cookies to collect and use information while you're on TI websites by adjusting the status of these categories.

Category	Description	Allow
Analytics and performance cookies	These cookies, including cookies from Google Analytics, allow us to recognize and count the number of visitors on TI sites and see how visitors navigate our sites. This helps us improve the way TI sites work (for example, by making it easier for you to find information on the site).
Advertising and marketing cookies	These cookies enable interest-based advertising on TI sites and third-party websites using information you make available to us when you interact with our sites. Interest-based ads are displayed to you based on cookies linked to your online activities, such as viewing products on our sites. We may also share this information with third parties for these purposes. These cookies help us tailor advertisements to better match your interests, manage the frequency with which you see an advertisement, and understand the effectiveness of our advertising.
Functional cookies	These cookies help identify who you are and store your activity and account information in order to deliver enhanced functionality, including a more personalized and relevant experience on our sites. If you do not allow these cookies, some or all site features and services may not function properly. If you do not allow these cookies, some or all of the site features and services may not function properly.
Social media cookies	These cookies allow identification of users and content connected to online social media, such as Facebook, Twitter and other social media platforms, and help TI improve its social media outreach.
Strictly necessary	These cookies are necessary for the operation of TI sites or to fulfill your requests (for example, to track what items you have placed into your cart on the TI.com, to access secure areas of the TI site, or to manage your configured cookie preferences).	Always On

Category

Description

Allow

Analytics and performance cookies

These cookies, including cookies from Google Analytics, allow us to recognize and count the number of visitors on TI sites and see how visitors navigate our sites. This helps us improve the way TI sites work (for example, by making it easier for you to find information on the site).

Advertising and marketing cookies

These cookies enable interest-based advertising on TI sites and third-party websites using information you make available to us when you interact with our sites. Interest-based ads are displayed to you based on cookies linked to your online activities, such as viewing products on our sites. We may also share this information with third parties for these purposes. These cookies help us tailor advertisements to better match your interests, manage the frequency with which you see an advertisement, and understand the effectiveness of our advertising.

Functional cookies

These cookies help identify who you are and store your activity and account information in order to deliver enhanced functionality, including a more personalized and relevant experience on our sites. If you do not allow these cookies, some or all site features and services may not function properly.

Social media cookies

These cookies allow identification of users and content connected to online social media, such as Facebook, Twitter and other social media platforms, and help TI improve its social media outreach.

Strictly necessary

These cookies are necessary for the operation of TI sites or to fulfill your requests (for example, to track what items you have placed into your cart on the TI.com, to access secure areas of the TI site, or to manage your configured cookie preferences).

Always On

Download

Teacher Files

Student Files

Alignment

Subject Area

Author

Level

Activity Time

Device

Software

TI-Nspire Version

Other Materials

Report an Issue

Properties of Logarithms

Activity Overview

Key Steps

Control your cookie preferences