Mathematics Vision Project
Module 2: Logarithmic Functions
You can't build a fire with these logs! Filled with hands-on investigations, a complete logarithmic unit offers both instruction and practice. Learners first build an understanding of the new function, then explore properties before...
Mt. San Antonio Collage
Exponential and Logarithmic Functions
High schoolers grow their skills exponentially after completing this thorough worksheet. Going from simple to difficult, it hits all the major skills regarding exponential and logarithmic functions including simplifying, solving,...
EngageNY
The Graph of the Natural Logarithm Function
If two is company and three's a crowd, then what's e? Scholars observe how changes in the base affect the graph of a logarithmic function. They then graph the natural logarithm function and learn that all logarithmic functions can be...
Virginia Tech
Unit Plan: Exponential and Logarithmic Functions
A six-day unit for algebra II on exponential and logarithmic functions builds upon Chapter 12 of Merrill Algebra II with Trigonometry; Applications and Connections. The text provides assistance in the depth of instruction and homework...
West Contra Costa Unified School District
Introduction to Logarithms
Build on pupils' understanding of inverse functions by connecting logarithmic functions to exponential functions. This activity allows individuals to see graphically the inverse relationship between an exponential and logarithmic...
EngageNY
Modeling with Exponential Functions
These aren't models made of clay. Young mathematicians model given population data using exponential functions. They consider different models and choose the best one.
Curated OER
Properties of Logarithmic Functions
Students solve exponential functions. In this algebra lesson, students identify the properties of logarithmic and exponential functions. They graph their functions and solve using change of base formula.
Curated OER
Algebra II Review: Exponential Functions and Logarithms
In this Algebra II review: exponential functions and logarithms learning exercise, students solve 19 problems, including making graphs, simplifying and evaluating.
Curated OER
Linear and Exponential Models
Students investigate the differences between linear and exponential models. In this linear and exponential models lesson, students make a table of given data. Students determine if the data is linear or exponential by plotting the data...
Curated OER
Exercise Set 3.2: Logarithmic Functions
For this logarithm worksheet, students solve 82 short answer problems. Students use log properties to simplify logarithms and natural logarithms.
Curated OER
Transformations and Exponential Functions
Tenth graders study graphing exponential functions. In this transformations lesson, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and generate the function...
Del Mar College
The Laws of Logs
Two students were sitting on a log and decided they wanted to be awesome at math. Bring in the logarithm handout! The first page introduces the idea of a logarithm and the different operations and rules it entails. The second page...
Curated OER
Logarithms and their Properties
In this logarithm activity, students explore the properties of logarithms. Explanations and examples are provided. This three-page activity contains ten logarithm problems to solve.
EngageNY
Changing the Base
I can't calculate a base-2 logarithm since my calculator doesn't have a base-2 log key. Young mathematicians use the change of base formula to extend the properties of logarithms to all bases. Among these bases is the natural log base,...
Curated OER
Rumors
Your young gossipers write an exponential function for the number of people who have heard a rumor after a number of days have passed. Learners then answer a series of questions, including whether or not the solutions are realistic by...
Curated OER
Exponential and Logarithmic Graphs
In this algebra instructional activity, students identify the different properties of logarithmic and exponential graphs. They label each graph as having exponential growth or decay. There are 4 matching questions.
Curated OER
Properties of Logarithms
In this algebra worksheet, 11th graders apply the 3 properties of logarithms to solve equations by expanding or condensing them. There are 4 problems to solve.
Curated OER
Will Exams Be Cancelled?
If the flu outbreak continues, exams will have to be canceled. Investigate the properties of exponential and logarithmic functions. In this algebra lesson, students use the TI to examine and differentiate between exponential growth and...
Curated OER
Negative Exponents
Students solve negative exponential functions. In this algebra instructional activity, students define the properties for rewriting functions with negative and zero exponents. They use a robot to create a visual of what is happening to...
Illustrative Mathematics
Exponentials and Logarithms II
Learners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...
Illustrative Mathematics
Exponentials and Logarithms I
This task focuses on using the verbal definition of the logarithm to understand that a logarithm is an exponent. Learners complete six computational exercises using the inverse properties of logs and exponents and answer two discussion...
EngageNY
The “WhatPower” Function
The Function That Shall Not Be Named? The eighth installment of a 35-part module uses a WhatPower function to introduce scholars to the concept of a logarithmic function without actually naming the function. Once pupils are comfortable...
Curated OER
Transforming Univariate Data
Learners analyze plotted data in this statistics instructional activity. They differentiate between skewed and normal data. They also explore and interconnect exponential growth and decay as it relates to the data.
Curated OER
Solving Exponential Equations
Solving exponential and logarithmic equations is taught in this interactive lesson. Students use properties of logarithm and exponents solve functions. They estimate the solution and use the Ti to find the exact solution.