EngageNY
Inverses of Logarithmic and Exponential Functions
Revisit the relationship between logarithms and exponentials. Learners review the notion of logarithms as the way to solve exponential equations in the 21st segment in a Pre-calculus series of 23. Pupils use the knowledge to prove that...
Alabama Learning Exchange
Logarithms: Undo the Exponential
Rumor has it that an exponential can be undone. After playing a rumor game to model exponential growth, pupils learn about undoing exponential functions. They use the definition of the logarithm to convert exponential equations to...
EngageNY
Logarithmic and Exponential Problem Solving
Just how old is it? The 22nd portion to a 23-part Precalculus unit uses radiocarbon dating and other exponential modeled real-world problems. Learners use the inverse relationship between logarithms and exponentials to solve the problem...
Curated OER
Exercise Set 3.3: Laws of Logarithms
In this logarithms worksheet, students simplify and solve 100 logarithm problems. Students use logarithem rules to prove logarithm properties and simplify logarithmic expressions.
Curated OER
Exercise Set 3.2: Logarithmic Functions
In this logarithm worksheet, students solve 82 short answer problems. Students use log properties to simplify logarithms and natural logarithms.
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,...
Curated OER
Logarithmic Transformations of Data
Pupils investigate and study logarithmic equations. In this precalculus lesson, students analyze the data behind the function. They define each graph as positive, negative or no correlation. They find the line of best fit.
Curated OER
TI-89 Activities for PreCalculus and AP Calculus
Using the TI-89 calculator, students explore the statistical, graphical and symbolic capabilities of the TI-89. Students investigate topics such as solving systems of equations, finding inverse functions, summations, parametrics and...
Curated OER
Precalculus: Function Models for Real-Life Situations
Young scholars use calculators and "by hand" techniques to compare models of real-life data situations, determine the best model for a situation, and use their models to make predictions.
Curated OER
What is Log?
Young mathematicians differentiate between logs and natural logs in this algebra instructional activity. They solve functions and logarithmic functions. Learners also graph and rewrite the exponential and log functions.
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 1)
Not all linear functions are linear transformations — show your class the difference. The first activity in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...
Curated OER
NUMB3RS Activity: Chains and Pyramids
Watch an episode of the TV show, NUMB3RS and then explore the mathematics of chain letters and pyramid schemes, both of which involve geometric progressions and exponential growth. They discuss why both are dangerous and illegal.
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...
Curated OER
Applications of Exponential Functions
In this algebra worksheet, students solve word problems involving money. They calculate the interest earned over a period of time given the formula. There are 28 questions.
Curated OER
Exponential Equations and Functions
For this college level Pre-Calculus worksheet, students solve problems involving exponential functions. Students determine the domain, range, y-intercept and asymptotes of exponential functions. The three page worksheet contains seventy...