Extrema
Students will learn how to find and label extrema using first and second derivatives, be able to inspect a graph and determine which extrema the function has, and be able to use Trace, fMin, and fMax to verify the computed answers and find critical values for parametric functions.https://education.ti.com/en/activity/detail/extrema
First Derivative Test
Visualize the connections between the first derivative of a function, critical points, and local extrema.https://education.ti.com/en/activity/detail/first-derivative-test
Exponential Functions and the Natural Logarithm
Discover a surprising property involving the relative growth rate of an exponential function.https://education.ti.com/en/activity/detail/exponential-functions-and-the-natural-logarithm
Exploring Vertical Asymptotes
Students will be able to determine the domain of rational functions, use algebraic concepts to determine the vertical asymptotes of a rational function, determine the removable discontinuities of a rational function, and describe the graph of a rational function given the equation.https://education.ti.com/en/activity/detail/exploring-vertical-asymptotes
Quadratic Unit Activity #1: Graphing a Parabola
This is the first activity in a series on vertex form of a quadratic for algebra I. This introduces the 'squaring' function.https://education.ti.com/en/activity/detail/quadratic-unit-activity-1-graphing-a-parabola
Quadratic Unit Activity #2: What's the Equation? Quadratic Functions
This is the second activity for the Quadratic Unit. This activity allows students to use sliders to match various quadratic functions in vertex form.https://education.ti.com/en/activity/detail/quadratic-unit-activity-2-whats-the-equation-quadratic-functions
Quadratic Unit Activity #7: Angry Birds
All the files in this unit are steps to the final activity-Angry Birds. Students are to find the values for a, b, and c in the vertex form of a quadratic function.https://education.ti.com/en/activity/detail/quadratic-unit-activity-7-angry-birds
Polar Graphs
Relate polar coordinates to rectangular coordinates and plot polar functions.https://education.ti.com/en/activity/detail/polar-graphs
Maximums, Minimums, and Zeroes
Determine when a function has a maximum or minimum based on the derivative of the function.https://education.ti.com/en/activity/detail/maximums-minimums-and-zeroes
Natural Logarithm
Construct the graph of the natural logarithm function from its definition.https://education.ti.com/en/activity/detail/natural-logarithm
Move Those Chains
In this activity, students will explore the Chain Rule. Students are asked to make a conjecture of the derivative of f(x) = (2x + 1)2 based on the Power Rule. They are then asked to graph their derivative function and compare it to the graph of f´(x). They will then examine "true" statements abou...https://education.ti.com/en/activity/detail/move-those-chains
MVT for Integrals
Demonstrate how the average value of a function over an interval is related to the definite integral.https://education.ti.com/en/activity/detail/mvt-for-integrals
The Second Fundamental Theorem of Calculus
Students make visual connections between a function and its definite integral.https://education.ti.com/en/activity/detail/the-second-fundamental-theorem-of-calculus_1
The First Fundamental Theorem of Calculus
Make visual connections between a function and its definite integral.https://education.ti.com/en/activity/detail/the-first-fundamental-theorem-of-calculus_1
The First Fundamental Theorem of Calculus
Make visual connections between a function and its definite integral.https://education.ti.com/en/activity/detail/the-first-fundamental-theorem-of-calculus
The Derivatives of Logs
Students will use the Chain Rule to find the derivative of more complex exponential and logarithmic functions.https://education.ti.com/en/activity/detail/the-derivatives-of-logs
The Mean Value Theorem
Students are presented with a several examples of functions to discover the hypotheses and conclusion of the Mean Value theorem. They will explore the concept of continuity and differentiability as related to the Mean Value Theorem.https://education.ti.com/en/activity/detail/the-mean-value-theorem
Volume by Cross Sections
Students will be introduced to the concept of finding the volume of a solid formed by cross sections of a function that form certain shapes.https://education.ti.com/en/activity/detail/volume-by-cross-sections_1
Graphical Analysis
Students will analyze graphs of polynomials finding intervals over which the function is increasing or decreasing and positive or negative, as well as the function’s relative minimum and maximum values and x- and y-intercepts.https://education.ti.com/en/activity/detail/graphical-analysis
Simple Harmonic Motion
With an example of the motion of a child on a swing, the activity begins with the trigonometric function between time and displacement and differentiates up to acceleration.https://education.ti.com/en/activity/detail/simple-harmonic-motion_1
Second Derivative Grapher
Visualize the relationship between the graph of a function and the graph of its second derivative.https://education.ti.com/en/activity/detail/second-derivative-grapher
Secant/Tangent Line Connection
Students will explore a real situation by minimizing the distance between two points on a secant line; ultimately making a connection to the slope of the tangent line and the difference quotient. Students will explore this graphically, numerically, and analytically. An extension at the end allo...https://education.ti.com/en/activity/detail/secanttangent-line-connection
Taylor Polynomial Examples
Taylor polynomials associated with five common functions.https://education.ti.com/en/activity/detail/taylor-polynomial-examples
Somewhere in the Middle
In this activity, students will explore the Mean Value Theorem. Students will find out when the tangent line is parallel to the secant line passing through the endpoints of an interval to help them find the values of c guaranteed to exist by the MVT. Students will also test functions where the hy...https://education.ti.com/en/activity/detail/somewhere-in-the-middle_1
Catching the Rays
Students will fit a sinusoidal function to a set of data. The data are the number of hours of daylight starting January 1st and collected on the first and sixteenth days of the months in Thunder Bay, Ontario, Canada.https://education.ti.com/en/activity/detail/catching-the-rays