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Lesson Plan
Curated OER

Exponential Functions f(x) = abx

For Teachers 9th - 12th Standards
Students define exponential functions and graph the equation. In this algebra instructional activity, students discuss exponential growth and decay as they graph their functions. They differentiate between the base of growth and decay.
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Lesson Plan
Curated OER

Comparing Linear and Exponential Data

For Teachers 9th - 12th Standards
Students graph linear and exponential equations. In this algebra lesson, students differentiate between linear and exponential equations. They relate it to the real world.
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Worksheet
Curated OER

The M & M Function

For Students 8th - 11th Standards
In this M & M worksheet, students perform probability experiments.  They collect and interpret data, identify the exponential function describing the data and create graphs from the collected information.  This one-page worksheet...
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Lesson Plan
Curated OER

Seeing is Believing: Derivatives

For Teachers 9th - Higher Ed Standards
Learn to solve functions by taking the derivatives. In this calculus lesson, young scholars compare the graph of a derivative to that of the original function.
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Worksheet
Curated OER

Exploring Exponential Models

For Students 11th Standards
Explore the difference between exponential growth and decay with this activity. Use tables, graphs, and algebraic methods to gain insight. The notion of an asymptote is also introduced. 
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Lesson Plan
Curated OER

Charging Up, Charging Down

For Teachers 9th - 12th Standards
Learners collect and analyze voltage data. Then, they investigate exponential functions using the TI and a Voltage Probe and graph their data and analyze it using a table.
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Lesson Plan
Curated OER

Carbon Dating

For Teachers 9th - 12th Standards
Simulate C-14 decay using M&M and Reese's Pieces candies. In this scatter-plot lesson, students perform an experiment to simulate the half life of C-14. Information is plotted on a scatter-plot. Students answer four comprehension...
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Lesson Plan
Curated OER

Exploring the Exponential Function

For Teachers 9th - 12th Standards
Learners collect and analyze data regarding exponential functions of the form y = abx.  Young scholars explore the affects of changing parameters on the graph of the function. 
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Lesson Plan
Curated OER

Home Sales Records

For Teachers 9th - 12th Standards
Teach your class how to calculate monthly payments on a home mortgage. In this percent lesson, students calculate the monthly payment on a home mortgage, and compare different lengths of time and the interest rates for national median...
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Lesson Plan
Curated OER

Wrapping It All Up

For Teachers 9th - 12th Standards
Through learning how to examine linear, quadratic, and exponential functions, students explore the effects of changes in parameters on the graphs of linear, quadratic, and exponential functions.  The lesson is designed to be a review of...
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Lesson Plan
Curated OER

Flipping Coins: Density as a Characteristic Property

For Teachers 9th - 12th Standards
Young scholars explore linear functions in a crime solving context. They collect and analyze data using linear equations, then interpret the slope and intercepts from a linear model.
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Lesson Plan
Curated OER

Exponential Reflections

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

Explore Graphs and Factors

For Teachers 8th - 11th Standards
Pupils graph the factors of a quadratic as linear equations and graph the parabolic equation in factored form. Also, they investigate the relationship between the x-intercepts of the lines and the zeros of the parabola.
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Lesson Plan
Curated OER

TI-Nspire Activity: What Does Your Representation Tell You?

For Teachers 9th - Higher Ed Standards
By learning to select the best representation for three meal plans, students compare three meal plans to determine the best choice. Data for the meal plans is sorted on a table, as an algebraic equation, and graphed on a coordinate grid....
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Lesson Plan
Curated OER

Show Me the Money

For Teachers 6th - 12th Standards
Pupils investigate financial applications of mathematics in this mathematics instructional activity. They will investigate equations that represent a company’s income, expense, and profit functions and use those equations to identify...
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Lesson Plan
Texas Instruments

Logistic Growth, Differential Equations, Slope Fields

For Teachers 12th Standards
Investigate differential equations with your class. They use the TI-89 to explore differential equations analytically, graphically, and numerically as the examine the relationships between each of the three approaches.
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Lesson Plan
Curated OER

You Must Still Think Yourself, CAS Can Only Help

For Teachers 9th - Higher Ed Standards
Have the class learn about and make conjectures about a line intersecting a cubic.  In this making conjectures about a line intersecting a cubic lesson, students draw lines that intersect a cubic at three different points.  Students...
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Lesson Plan
Texas Instruments

Buying Your First New Car!

For Teachers 11th - 12th Standards
Learners explore exponential growth and decay using M&M’s in this Algebra II/Pre-calculus lesson plan. They investigate the cost of a new car by calculating depreciation and payments.
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Lesson Plan
Curated OER

TI-89 Activities for PreCalculus and AP Calculus

For Teachers 9th - 12th Standards
Using the TI-89 calculator, high schoolers 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...
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Lesson Plan
Curated OER

Chill Out: How Hot Objects Cool

For Teachers 9th - 12th Standards
Teach how to explore exponential equations.  For this Algebra II lesson, learners investigate the graph that occurs as a hot liquid cools.  Students model the data algebraically.
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Lesson Plan
Curated OER

Investigation the Derivatives of Some Common Functions

For Teachers 9th - 12th Standards
Young scholars investigate the derivative of a function.  In this calculus lesson, students explore the derivatives of sine, cosine, natural log, and natural exponential functions.  The lesson promotes the idea of the derivative as a...
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Lesson Plan
Texas Instruments

Making Predictions Using Systems of Equations

For Teachers 9th - Higher Ed Standards
Learners explore the concept of systems of equations. In this system of equations lesson, students enter data into lists on their calculators about 100 meter dash times. Learners plot the points using a scatter plot and perform a linear...
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Lesson Plan
Curated OER

NUMB3RS Activity: Exponential Growth

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

Exponential Decay

For Teachers 10th - 12th Standards
Students study exponential decay and its application to radiocarbon dating. In this exponential decay lesson, students use candy to model the time it takes for something to decay. Students also graph the data they collect and describe...