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West Contra Costa Unified School District

Solving Exponential Equations

For Teachers 8th - 10th Standards
The power to solve exponential equations lies in the resource. Scholars first learn how to solve exponential equations. An activity matching cards with equations, intermediate steps, and solutions strengthens this skill.
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Curated OER

Do Two Points Always Determine an Exponential Function?

For Teachers 9th - 12th Standards
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...
Lesson Plan
Curated OER

Two Points Determine an Exponential Function II

For Teachers 9th - 12th Standards
Your algebra learners will build an exponential equation given a graph with two specific points labeled. 
Lesson Plan
EngageNY

Solving Exponential Equations

For Teachers 10th - 12th Standards
Use the resource to teach methods for solving exponential equations. Scholars solve exponential equations using logarithms in the twenty-fifth installment of a 35-part module. Equations of the form ab^(ct) = d and f(x) = g(x) are...
Lesson Plan
EngageNY

Bacteria and Exponential Growth

For Teachers 9th - 12th Standards
It's scary how fast bacteria can grow — exponentially. Class members solve exponential equations, including those modeling bacteria and population growth. Lesson emphasizes numerical approaches rather than graphical or algebraic.
Lesson Plan
Curated OER

The "U's" Have IT!

For Teachers 10th - 12th
Students explore the maximum and minimum values of parabola. In this exponential equations lesson, students use graphing calculators or TI Interactive Software to calculate values of parabola and graph x-intercepts of parabola.
Lesson Plan
Curated OER

Explore Learning Exponential Functions

For Teachers 10th - 12th
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 &...
Lesson Plan
Curated OER

Exponential Functions

For Teachers 8th - 10th
Students graph exponential equations of the form y=Ma. They understand the effects of M, a, and k on the graph. They solve application problems using exponential functions.
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Wordpress

Introduction to Exponential Functions

For Teachers 8th - 10th Standards
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...
Lesson Plan
EngageNY

Solving Logarithmic Equations

For Teachers 10th - 12th Standards
Of course you're going to be solving an equation—it's algebra class after all. The 14th installment of a 35-part module first has pupils converting logarithmic equations into equivalent exponential equations. The conversion allows for...
Lesson Plan
Alabama Learning Exchange

Logarithms: Undo the Exponential

For Teachers 9th - 12th Standards
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...
Lesson Plan
EngageNY

Inverses of Logarithmic and Exponential Functions

For Teachers 11th - 12th Standards
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...
Lesson Plan
EngageNY

The Inverse Relationship Between Logarithmic and Exponential Functions

For Teachers 10th - 12th Standards
Introducing inverse functions! The 20th installment of a 35-part lesson plan encourages scholars to learn the definition of inverse functions and how to find them. The lesson plan considers all types of functions, not just exponential...
Lesson Plan
EngageNY

Exponential Decay

For Students 9th - 10th Standards
I just bought that car, how can its value decrease already? Individuals use the data of a depreciating car value to create an exponential decay model. They then compare exponential decay and growth equations.
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Teach Engineering

Common and Natural Logarithms and Solving Equations

For Teachers 9th - 12th Standards
Log some practice with logarithms. A PowerPoint presentation provides a tutorial on the change of base formula involving natural logarithms and solving exponential equations with logarithms in the fourth installment of a seven-part...
Lesson Plan
Curated OER

Exploring Exponential Growth and Decay Functions

For Teachers 9th - 11th
Learners differentiate between exponential growth and decay. In this algebra instructional activity, students solve exponential equations using properties of exponents. They use the Ti calculator to graph and analyze their...
Lesson Plan
Curated OER

Exponential Functions

For Teachers 11th
Analyze functions by their shape and equation and identify decay and growth based on the equation given. Learners graph their exponential functions and differentiate it using the logarithmic versus the exponential function.
Lesson Plan
Curated OER

Doubling Your Money

For Teachers 9th - 12th Standards
Your young financial geniuses explore the Rule of 70 as they analyze the exponential function that models the doubling time of investments.
Lesson Plan
Curated OER

Fibonacci II

For Teachers 8th - 10th
Study Fibonacci sequences and see a related set of numbers. Learn and review Lucas numbers and use of quadratic equations to find a general term of a sequence of numbers that is generated by a recurrence relation similar to Fibonacci's.
Lesson Plan
Curated OER

Comparing Exponentials

For Teachers 9th - 12th Standards
Growing money exponentially is the context of this scenario that asks learners to compare investments in two certificate of deposit accounts. Your young investment analysts will learn about the exponential characteristics of money...
Lesson Plan
Curated OER

In the Billions and Exponential Modeling

For Teachers 9th - 12th Standards
Modeling population growth gives learners an opportunity to experiment with real data. Comparing the growth rates in this real-life task strengthens learners' understanding that exponential functions change by equal factors over equal...
Lesson Plan
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Curated OER

Exponential Growth Versus Linear Growth I

For Teachers 9th - 12th Standards
Your algebra learners will discover how quickly an exponential function value grows compared to a linear function's value. Making a table of values helps in this comparison, set in the context of making a wage for raking leaves.
Lesson Plan
Curated OER

Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions

For Teachers 9th - 10th
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...
Lesson Plan
Curated OER

Logarithmic Form to Exponential Form and the Reverse

For Teachers 9th - 12th
In this algebra worksheet, students convert equations from logarithmic form to exponential form and do the reverse conversion. There are ten questions.

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