Mt. San Antonio Collage
Test 2: Rationals, Exponentials, and Logarithms
Running out of logarithm questions in class? The nicely organized two-page worksheet provides practice in rational, logarithmic, and exponential functions. All the topics include graphing, solving, and finding domain and range.
Concord Consortium
Defining Logarithms
An inverse relationship exists between exponents and logarithms, allowing mathematicians to easily convert one to the other. Scholars apply a brief definition of logarithms with a few practice problems. Then, they discover the...
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...
Balanced Assessment
A Loud Noise
In a scale measuring noise, an increase in 10 dB is a 10 time increase in power. Mathematicians examine the data graph of a real world exponential growth, with no logarithmic scale, and then create two equations relating the...
Mt. San Antonio Collage
Quiz 2: Types of Functions
Here is a resource that provides the structure of an assessment with the convenience of a full answer key. The focus is on rational, exponential, and logarithm functions with a few questions on solving polynomials.
Curated OER
A Valuable Quarter
Your young bankers model an account balance with an exponential function and solve the equation by extracting a root or taking a logarithm. The task involves the context of annual and compounding interest as well as some interesting...
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 2)
Trying to find a linear transformation is like finding a needle in a haystack. The second lesson in the series of 32 continues to explore the concept of linearity started in the first lesson. The class explores trigonometric, rational,...
Illustrative Mathematics
Modeling London's Population
Looking at London's population from 1801–1961 in 20 year increments, high school mathematicians determine if the data can be modeled by a given logistic growth equation. They explain their thinking and determine the values of each...
EngageNY
End-of-Module 3 Assessment Task
Let's see what the class learned! The last installment of the 23-part Pre-calculus module consists of nine assessment questions designed to measure a specific portion of a standard in the unit. Learners demonstrate their understanding of...
EngageNY
Mid-Module Assessment Task - Algebra 2 (Module 3)
The 15th installment of a 35-part module is a mid-module assessment task. Covering concepts in the first half of the module, the task acts as a formative assessment, providing you with valuable information on how learners are doing.
Inside Mathematics
Graphs (2006)
When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a worksheet that engages scholars to properly label line graphs. It then requests two applied reasoning answers.
Illustrative Mathematics
Computations with Complex Numbers
This quick set of problems provides a brief refresher on the arithmetic of complex numbers. Learners need to multiply, add and subtract, and remember features of i when raised to a power. Included solutions are clear enough that...
Curated OER
Snail Invasion
Exponential growth is modeled by learners as they analyze and interpret the data presented in this real-life scenario centered on the destructive invasion of the Giant African Land Snail. Learners get a touch of history and practice...
Curated OER
Carbon 14 Dating
Evaluating and analyzing exponential functions will help your archaeologists find the amount of Carbon 14 remaining in a plant in this real-life task centered on carbon dating. Learners will also be introduced to the concept of half-life.
Achieve
Spread of Disease
Viruses can spread like wildfire, and mathematics can model the speed of infection. Given a function, scholars analyze it to describe the spread of a disease within a stadium. Learners find the initial number infected and the maximum...
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 1)
Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...
Curated OER
Comparing Exponentials
Growing money exponentially is the context of this scenario that asks learners to compare investments in two certificate of deposit accounts. Your young investment analysts will learn about the exponential characteristics of money...
University of Saskatchewan (Canada)
University of Saskatchewan: Exponential and Logarithmic Functions
The University of Saskatchewan's Department of Mathematics and Statistics provides high school students with online tutorials and exercises on what they deem some of the most important topics in exponential and logarithmic functions....
Khan Academy
Khan Academy: Algebra Ii: Solve Exponential Equations Using Logarithms
Solve exponential equations that have 2 or other numbers at the base of the exponential term. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Solve Exponential Equations Using Logarithms: Base 10 and Base E
Solve exponential equations that have 10 or e at the base of the exponential term. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Interpret Equations Graphically
Practice the connection between the graphical representation of equations and their algebraic solutions.
Windstream
Ojk's Precalculus Study Page: Sample Test
A practice test on exponents and logarithms, covering the basics and going through solving exponential and logarithmic equations.
Other
University of Wisconsin: Basic Algebra
This college site offers a variety of problems and answers. Problems are divided into topic areas for easy access. Also offers quizzes with each topic.