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Curated OER
Fundamental Theorem of Calculus
High schoolers, with the assistance of their TI-84 Plus / TI-83 Plus calculators, explore and assess the connections between an accumulation function, one defined by a definite integral, and the integrand. They summarize that the...
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Epsilon-Delta Window Challenge
Students graph functions and analyze them. In this calculus activity, students define limit formally using Epsilon-Delta. They use the TI to graph the function and analyze it.
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TI-Nspire Activity: What Does Your Representation Tell You?
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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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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A Tale of Two Lines
Students graph systems of equation. In this calculus lesson, students graph their lines on a TI calculator. They identify the point of intersection and the type of solution.
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Basic Limits
Learners calculate the limits of functions. In this calculus lesson, high schoolers find the left and right handed limits of different functions. They use the Ti Navigator to drag the function around as they study limits.
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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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The Quest for Roots of Higher Order Equations
Young mathematicians explore the concept of solutions to higher order equations as they find roots of polynomials of degree three or higher. They also use the zero function on the Ti-83 to locate zeros of polynomials on a graph.
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Derivative Grapher
Learners graph the derivative of functions in this calculus activity. They use the TI to graph their functions and algebraically take the derivative of each function. They then create a visual and analyze the graph.
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Minimums, Maximums and Zeroes
Young mathematicians will identify the minimum, maximum-and zeros of a function in this calculus lesson. They relate the derivative of a function to its zeros and minimum or maximum. They then graph their solutions and explain different...
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Definite Integral
Learners investigate the intervals represented by a function in this calculus instructional activity. They decide what interval of the function will be positive, negative or zero. They are then given graphs of functions and asked to...
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Piecewise Linear Integral
Young mathematicians solve and graph piecewise functions in this calculus lesson. They integrate linear functions containing restrictions and graph their answers using the TI.
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Natural Logarithm
Young mathematicians solve problems of logs and natural logs. They graph functions of natural logs on the TI and relate integrals to natural logarithms.
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Approaching Limits
With the assistance of their Ti-84/Ti-83 Plus calculators, young scholars develop a foundation for the limiting process as well as estimate limits from graphs and tables of values. They view how a function behaves as the input approaches...
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Calculus Inverse Derivative
Students solve equations using a given derivative. In this calculus lesson, students identify the rise of fall of each function. They use the calculator to find the derivative.
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Convergence of Taylor Series
Students analyze taylor series for convergence. In this calculus lesson, students analyze the graph of a taylor series as it relates to functions. They use the TI calculator to graph and observe the different series.
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Exploring Transformations
Young scholars investigate functions and their transformations. They move absolute value functions around on the coordinate plane, and then define the transformation and plot the new graph. The table feature of the TI-calculator is used...
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Reference Angles
Learn how to measure the reference angles in degrees and radians. Students find reference angles that are coterminal with a given angle.
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Exploring Quadratic Equations
By stretching and translating the parabola given and determining the effects on the equation, students explore finding the vertex and zeros of a parabola and relate them to the equation. Students also view the intercept form to determine...
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Limits at Infinity
Young mathematicians solve problems involving limits in this calculus lesson. They identify the value of x as the limit approaches positive and negative infinity. Learners study the magnitude as x increases in value.
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Concavity of a Graph
Learners explore the graph of a function. In this calculus lesson, students identify when and where the graph is increasing or decreasing. They identify if it concave up or down by moving the cursor.
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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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Mean Value Theorem
High schoolers calculate the slopes of secant lines. In this calculus instructional activity, 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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Derivative Analysis
Students analyze the derivative of a graph. In this calculus lesson, students identify the different behavior of a graph. They label concavity of the graphs as increasing or decreasing.