NASA
Discovering the Milky Way
What do you call a tiny collection of galaxies? A puny-verse! Young scholars graph data gathered by scientists studying Cepheids. They attempt to identify a relationship between the variables through standard and logarithmical...
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...
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
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.
Curated OER
PreCalculus - Logarithms #5
In this logarithms learning exercise, students simplify 14 logarithms. Students re-write each set of logarithms as a single logarithm and solve for the unknown variable.
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 9)
Section 9 of the 12 linked Saxon Math sections introduces the young algebrist to graphing periodic functions, creating graphs from quadratic roots, working with inequalities, and rational equations. Common among all the lessons is the...
Curated OER
Logarithmic Differentiation
In this calculus worksheet, 12th graders perform logarithmic differentiation on functions for which the ordinary rules of differentiation do not apply. The one page interactive worksheet contains eleven problems. Answers are...
Curated OER
Modeling Natural Disaster with Mathematical Functions
Ninth graders investigate the functional relationship of different environmental phenomena. In this math instructional activity, 9th graders create models of various natural disasters. They use logarithmic and exponential functions to...
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.
Flipped Math
Calculus AB/BC - Derivatives of cos(x), sin(x), e^x, and ln(x)
The shortcuts are not just for polynomial functions. Pupils learn the derivatives of the two basic trigonometric functions, cosine and sine. The video provides the derivatives for exponential and logarithmic functions. Learners work...
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...
Curated OER
The Golden Students
Scholars view the video, "Donald Duck in Mathmagic Land," and discuss examples in nature which have proportions of the golden ratio. They measure and record different body lengths from a worksheet and convert the ratios to equivalent...
Curated OER
Exponential and Logarithmic Equations
In this algebra worksheet, 11th graders solve exponential and logarithmic functions using properties of exponents and logs. There are 56 questions with an answer key.
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.
Teach Engineering
Light Intensity Lab
Let there be light. The last installment of a seven-part series has pupils conduct an experiment on light attenuation through different numbers of transparency sheets. They then relate the results back to how X-rays measure bone density.
Project Maths
Introduction to e
First there was pi and now there's e. A discovery-based lesson helps learners find a pattern in compound interest as the compounding period changes. Their investigation results in the discovery of the number e. The lesson is the first in...
Curated OER
Exponential Reflections
Explore the natural log function through the investigation of inverse of the exponential functions by plotting the inverse of the exponential solution points. Students examine the results to determine that the inverse is the...
Curated OER
Fertilizers, Pesticides and Health
Students apply real data to create and calculate algebraic equations. Students create a visual to represent the concentration for one part per million and apply unit analysis to verify measurement computations. Students define the use...
Rice University
Intermediate Algebra
Algebra concepts are all wrapped up in one nice bow. The resource combines all the concepts typically found in Algebra I and Algebra II courses in one eBook. The topics covered begin with solving linear equations and move to linear...
Chymist
Visualizing pH
Why are acids and bases important in our daily lives? Lead the class in answering this question, among others, as they experiment with pH paper and classify where various substances belong on the pH scale. They also taste common acids...
Curated OER
Graphing Functions
In this graphing functions worksheet, students write functions in logarithmic and exponential forms. They evaluate logarithms and determine the inverse of a function. Students graph functions. This six-page worksheet...
Curated OER
The Integration of Exponential Functions
In this calculus worksheet, students solve problems using integration. They solve exponential functions using differentiation formulas. There are 12 problems with an answer key.
Curated OER
A Lesson on the Root Spiral
Students create lines and shapes with a compass and a straight edge. In this geometry instructional activity, students investigate square roots, irrational numbers and spirals. They explore nature to see the shapes representing...
Curated OER
What is Log?
Young mathematicians differentiate between logs and natural logs in this algebra lesson. They solve functions and logarithmic functions. Learners also graph and rewrite the exponential and log functions.