Polar Graphs
Relate polar coordinates to rectangular coordinates and plot polar functions.https://education.ti.com/en/activity/detail/polar-graphs
Mean Value Theorem
Calculate slopes of secant lines, create tangent lines with the same slope, and note observations about the functions and slopes.https://education.ti.com/en/activity/detail/mean-value-theorem_1
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
MacLaurin Polynomials
Students will use TI-Nspire technology to explore MacLaurin polynomials. They will develop polynomials that approximate very special functions.https://education.ti.com/en/activity/detail/maclaurin-polynomials_1
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
How Many Solutions?
Students graph systems of linear functions to determine the number of solutions. In the investigation, students are given one line and challenged to draw a second line that creates a system with a particular number of solutions.https://education.ti.com/en/activity/detail/how-many-solutions
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
Exploring Inverse Functions
Students will investigate the fundamental concept of an inverse, generate the inverse graphs of relations applying this concept, and algebraically determine the inverse.https://education.ti.com/en/activity/detail/exploring-inverse-functions
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
Exponential Growth
The purpose of this exploration is to investigate properties of exponential functions including the relationship between the graphical and algebraic forms of the functions.https://education.ti.com/en/activity/detail/exponential-growth
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
Graphs of Polynomial Functions
The activity begins by having students compare functions to introduce the concept of end behavior. Then they graph cubics and quartics, noting the respective end behaviors for positive and negative leading coefficients. Finally, they compare quadratics to quartics and cubics to quintics to discov...https://education.ti.com/en/activity/detail/graphs-of-polynomial-functions
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
Solids of Revolution
Students will investigate 3D visualizations of volumes created by rotating a function about the x-or y-axis. They will understand the concept and reason for the volume formula in order to be prepared for generalizations. Students will solve the definite integral by hand using the fundamental theo...https://education.ti.com/en/activity/detail/solids-of-revolution
Solids Of Revolution Between Two Curves
Students will investigate 3D visualizations of volumes created by rotating two functions about the x-or y-axis. They will understand the concept and reason for the volume formula in order to be prepared for generalizations. Students will solve the definite integral by hand using the fundamental t...https://education.ti.com/en/activity/detail/solids-of-revolution-between-two-curves
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