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Curated OER
Families of Functions
Learners use sliders to change the parameters of functions and examine how shifting parameters affects a graph. They identify the parameters of functions, find vertical and horizontal stretches, then calculate the scale factor and other...
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Standard Form of Equations
Learners complete the square and identify different parts of a quadratic equation. In this algebra lesson, pupils graph conics using the TI calculator. They rewrite equations by completing the square.
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Buying Your First New Car!
Learners explore exponential growth and decay using M&M’s in this Algebra II/Pre-calculus lesson. They investigate the cost of a new car by calculating depreciation and payments.
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Exploring the Exponential Function
Learners collect and analyze data regarding exponential functions of the form y = abx. Students explore the affects of changing parameters on the graph of the function.
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Mean Value Theorem
Students calculate the slopes of secant lines. In this calculus lesson, students graph tangent and secant lines using the coordinate plane. They use the Ti calculator to graph and observe the lines.
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Filling The Urn
Students calculate the area under a curve. In this calculus lesson plan,students calculate the area by integrating the equation. They calculate the volume of cylindrical shapes created between graphs.
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Solids of Revolution - Disks
Young mathematicians solve the volume using the disk method in this calculus lesson. They revolve a graph around the x-axis and calculate the volume. They use the TI to see the revolving around the x-axis and create a virtual cross...
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Exponential Transformations
Perform transformations on exponential functions! Teach your class how to perform dilation, compression, and translation. They graph exponential functions using the TI Calculator.
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Logarithmic Transformations
Using the TI calculator to visualize and make predictions, learners perform transformation vertically and horizontally on logarithmic graphs in order to solve problems.
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Galileo's Battle for the Heavens
Students view a video about Galileo's discoveries. They work together to create graphs showing the current sunspot cycle. They discuss how sunspots can cause communication devices problems.
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Wrapping It All Up
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...
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Critical Points
High schoolers identify critical points on a graph. For this calculus lesson, students graph their equations on the TI calculator. They zoom in and out to identify the critical points.
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Transformations of Functions 1
Learn how to solve problems with transformation. Students perform transformation on their graphs. Then, they use the TI to create a visual of the graph as it is moving along the graph.
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Wacky Water World
Eighth graders calculate a system of equations to find the best ticket price for a ticket at a water park. They explain how the equations helped them make their decision on the best price.
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Quick Stats with Quick Poll
Learners analyze data using bar graphs and the TI in this statistics lesson. They investigate quick polls and graph the data using different properties of statistics. This assignment requires a TI Navigator.
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Asymptotes and Zeros
Learn how to explore rational functions and investigate the graphs rational functions and identify its singularities and asymptotes. Students approximate the solutions to rational equations and inequalities by graphing.
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Graphical Derivatives
Pupils solve functions using the derivative. They determine the derivative of a function based on its graph, then analyze different functions and draw a relationship and conclusion based on the graph.
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Taylor Polynomials
Pupils graph Taylor polynomials in this calculus lesson. They observe the graphs for the expansion of Taylor polynomial functions and use the Ti calculator to help create visuals of the graphs.
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Characteristics of Exponential Functions
What can an upper grader do with an exponential function? They can solve and graph it, identify its important characteristic, and differentiate graphs based on shifts in graph bases that are greater or less than one. This 45 minute...
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Exponential Functions f(x) = abx
Students define exponential functions and graph the equation. In this algebra lesson plan, students discuss exponential growth and decay as they graph their functions. They differentiate between the base of growth and decay.
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Functions and Inverses
High schoolers solve problems identifying the functions and inverses. In this algebra instructional activity, students identify a one-to-one function, and perform the horizontal line test. They analyze data and graph their results...
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Exploring Power Functions 1
Learners describe the end behavior of polynomial functions. Pupils relate the behavior of the graph to the exponent of the graph. They differentiate graphs with odd-exponent and graphs with even exponents.
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Multiplicity of Zeros of Functions
Pupils identify the multiplicity of exponents as they graph polynomials. They write equations for a function given the zeros of the function and work backwards from solving equations.
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Approximation of Pi
Students explore the concept of Pi. In this Pi lesson, students measure the circumference and diameter of a circle. Students record the diameter and circumference measurements from their classmates. Students enter the...