Transformations of Functions 1
This lesson investigates vertical and horizontal translations of a function.https://education.ti.com/en/activity/detail/transformations-of-functions-1
Transformations of Functions 2
Investigate vertical stretches and reflections through the x-axis of a function.https://education.ti.com/en/activity/detail/transformations-of-functions-2
Zeros of a Quadratic Function
Merge graphical and algebraic representations of a quadratic function and its linear factors.https://education.ti.com/en/activity/detail/zeros-of-a-quadratic-function
Definition of Functions
This lesson involves examining relationships and functions and their inputs, outputs, domains, and ranges.https://education.ti.com/en/activity/detail/definition-of-functions
Inverse Variation
Students explore multiple representations of the inverse variation function, beginning with a geometric representation (a rectangle with fixed area), and progressing to a table of values, an algebraic expression, and finally a graph.https://education.ti.com/en/activity/detail/inverse-variation
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
NASA:Taking a Walk in the Neuroscience Laboratories
Within the Neuroscience Laboratories, many different functions are tested. For example, researchers in the Motion Laboratory focus on the post-flight disturbances in balance and gait control—areas with which many astronauts struggle. This laboratory develops training programs that will faci...https://education.ti.com/en/activity/detail/nasa--taking-a-walk
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
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
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
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
Too Many Choices!
Students investigate the fundamental counting principle, permutations, and combinations.https://education.ti.com/en/activity/detail/too-many-choices_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
Multiplicity of Zeros of Functions
Students will utilize graphs and equations of five polynomial functions to determine the zeros of the functions and whether the functions cross the x-axis at these zeros or just touch the x-axis at the zeros. Then students will determine the degree of the polynomial functions and the effect the d...https://education.ti.com/en/activity/detail/multiplicity-of-zeros-of-functions