Exponential Growth Teacher Resources
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Students study exponential growth in problems using chess boards and grains of rice. In this exponential growth lesson, students watch a video about a chess wager and complete an exponential growth worksheet. Students then complete a money prediction about exponential growth and complete a chain letter activity for the same topic.
This lesson begins with a review of linear functions and segues nicely over its fifteen examples and problems into a deep study of exponential functions. Linear and exponential growth are compared in an investment task. Data tables are used to explore and practice the idea of common ratios to recognize exponential functions. Graphing calculators assist learners in finding the characteristics of an exponential function and the calculating of inputs and outputs of functions is described and practiced. Finally, learners practice writing exponential equations from given data.
Students explore the concepts of exponential growth and decay. In this Algebra II lesson, the students use a variety of teaching resources, including the web, and modeling and experimentation, to identify exponential growth or decay and sole related problems.
Exponential functions often involve the rate of increase or decrease of something. When it's a rate of increase, you have an exponential growth function! The instructor discusses exponential function and how to determine if a value makes it a growth pattern. There are a few criteria for the formula, so watch this video and learn more about exponential function.
Students explore the concept of linear and exponential growth. In this linear and exponential growth lesson, students collect data about China's population. Students model the data to determine if it is linear or exponential.
In this exponential population growth worksheet, students read word problems and determine the exponential growth of a specified populations. They find the percent of growth and compute exponential regressions. Students graph exponential growth equations. This six-page worksheet contains approximately 30 multi-step problems.
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.
Explore exponential growth with this interesting scenario: You can either have $1000 a year for twenty years, or you can get $1 for the first year, $2 for the second, $4 for the third, etc, doubling in amount each year for twenty years. Middle and high schoolers graph each option to see which one will yield more money in the end.
Does this word problem describe exponential growth? Is something increasing? Is it increasing at a constant rate? How much is it increasing? Use the function formula for exponential growth to figure out this problem.
A real-world scenario of how a rumor might spread in school is used to demonstrate an exponential growth pattern. The class will have to use reasoning skills and communicate with each other to problem solve and come up with some possible solutions.
There can be a steep learning curve when teaching about exponential growth, but the lesson helps kids make sense out of the concept. When talking about exponential growth of viruses, learners may not be very interested, but when you are talking about money, engagement levels shoot up exponentially! Once the concept is understood, applying it to viral replication or anything else should be straightforward.
High schoolers investigate exponential growth and decay. In this exponential growth and decay lesson, students plot data on the cooling of a hot cup of coffee and the interest on a principal amount. High schoolers discuss how various b-values affect the shape of the graph. Students make a scatter plot of exponential data and find a model to fit the data.
Mathematicians investigate exponential growth by exploring two different options for receiving allowance. Students use technology to compare a linear function with a constant rate of growth to a function that grows exponentially where successive values change by a constant multiplier.
Young scholars explore natural logarithms. For this calculus lesson, students investigate exponential growth and integral calculus which leads to the natural logarithm function. Young scholars solve problems involving exponential growth.
Students explore the concept of exponential growth. In this exponential growth instructional activity, students solve a problem about ensuring fairness in a Tug-of-War. Students determine which students should be on a team to ensure that each team has equal tug power. Students discuss the pattern of the number of possible combinations in relation to the number of people. Students discuss the exponential growth of the function y = 2^n.
Students discuss how numbers increase when exponential growth is occurring. They view a video and compare exponential and linear growth with a graphing calculator.
Students hypothesize as to the spread of dandelion seeds and its effectiveness. Throughout the remaining lesson, students experiment and discuss their results. This usually leads to a discussion of natural selection, populations, exponential growth, etc.
Eighth graders review the information provided on careers in banking and the equation for exponential growth. In this exponential growth lesson, 8th graders solve problems related to careers in banking. Students discuss and solve the equations as they relate to the career information. Students also use the table function on their graphing calculators to plot each investment pair.
Quiz your middle and high schoolers on solving exponential growth and decay. First, they evaluate for a variable given the second variables value. Then, they graph an equation that illustrates the exponential growth or exponential decay of an equation.
Students solve problems by identifying exponential growth and decay and differentiating between patterns, relation and functions. In this algebra lesson, students apply concepts of exponential growth to solve problems.