Sophia: Exponential Functions Are Nonlinear

How do you make a penny grow to $5,000 in just 15 days? Use the examples in this lesson plan to explore the concept of exponential growth and its comparison to linear models. Pupils come to understand that exponential growth eventually...

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...

What does an exponential pattern look like in real life? After viewing a video of the population growth of bacteria, learners use the real-life scenario to collect data and graph the result. Their conclusion should be a new type of...

Class members have the opportunity to quickly change the variables of an exponential graphs through the use of sliders on Desmos. Four graphs are given and young mathematicians, through the use of the graphing app, can discover which...

Algebra learners explore, analyze and build an exponential equation given its form and a specific point that exists on the function in this task. The last question asks learners to apply their ideas to an exponential equation given two...

Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...

High schoolers graph exponential equations and solve application problems using exponential functions. They re-enact a story about a peasant worker whose payment for services is rice grains doubled on a checker board. They place M &...

Viewers play a game with Sal, in which he presents three different data sets that come from either linear, quadratic, or exponential functions. In solving this puzzle, Sal manages to not only provide a strong definition of each function,...

Concepts from the last few videos, particularly exponential growth and decay functions, are covered in this video about word problems. Viewers can apply their new (or growing) algebraic knowledge to solve the word problems along with Sal.

Sal continues looking at function inverses in this video by showing two examples. In each example, he finds the inverse and shows the graph of both functions. His examples are with linear functions, but his first example shows a function...