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...
Curated OER
Natural Logarithm
Young mathematicians solve problems of logs and natural logs. They graph functions of natural logs on the TI and relate integrals to natural logarithms.
Curated OER
Exponential Functions and the Natural Logarithm
Students solve exponential and log functions. In this algebra lesson plan, students graph natural log and logarithmic functions. They compare and contrast between logs and the exponential graphs.
Curated OER
Exponential Reflections
High Schoolers explore the concept of exponential reflections. They use their Ti-Nspire to reflect the natural logarithm function over the line y=x. Students repeat the process using different exponential functions using a slider.
EngageNY
Graphs of Exponential Functions and Logarithmic Functions
Graphing by hand does have its advantages. The 19th installment of a 35-part module prompts pupils to use skills from previous lessons to graph exponential and logarithmic functions. They reflect each function type over a diagonal line...
EngageNY
The Inverse Relationship Between Logarithmic and Exponential Functions
Introducing inverse functions! The 20th installment of a 35-part lesson encourages scholars to learn the definition of inverse functions and how to find them. The lesson considers all types of functions, not just exponential and...
EngageNY
Building Logarithmic Tables
Thank goodness we have calculators to compute logarithms. Pupils use calculators to create logarithmic tables to estimate values and use these tables to discover patterns (properties). The second half of the lesson plan has scholars use...
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
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
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...
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.
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
Rainbows, Bridges & Weather, Oh My!
Explore how real-world applications can be parabolic in nature and how to find quadratic functions that best fit data. A number of different examples of modeling parabolas are explored including a student scavenger hunt, the exploration...
TryEngineering
Sorting Socks is Algorithm Complexity
Use hosiery to teach computer science. Scholars use socks to develop a set of algorithms. They find ways to find a particular sock from a set and ways to sort socks. Finally, they use their algorithms to consider time complexity.
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
A Lesson on the Root Spiral
Students create lines and shapes with a compass and a straight edge. In this geometry activity, students investigate square roots, irrational numbers and spirals. They explore nature to see the shapes representing mathematics and...
Curated OER
Dead Body Math
Learners solve the mystery of dead Mr. Potato Head using physics and algebra. They discuss Newton's Law of cooling as it applies to the mystery scenario involving a cooling baked potato as the "victim". They manipulate algebraic...
Curated OER
pH and Red Cabbage Juice
Students review properties of materials and define what pH tells them about matter. In this pH levels lesson, students determine whether materials are acids or bases using indicator substances.
Curated OER
Acid Rain
Students understand the dynamics of acid rain and its impact on the living and non-living environment. They hypothesize how acid rain affects water pH levels in two lake systems with differing watershed features.