Interesting Properties of Cubic Functions
This Computer Algebra System (CAS) activity encourages students to investigate numerical and graphical properties of cubic functions, and to verify the results using CAS.https://education.ti.com/en/activity/detail/interesting-properties-of-cubic-functions
Change Of Base
Discover the change of base rule for logarithms by examining the ratio of two logarithmic functions with different bases.https://education.ti.com/en/activity/detail/change-of-base
Change Of Base
In this activity, students discover the change of base rule for logarithms by examining the ratio of two logarithmic functions with different bases.https://education.ti.com/en/activity/detail/change-of-base
Convergence of Taylor Series
A Taylor Series for a function becomes the function as the number of terms increases towards infinity.https://education.ti.com/en/activity/detail/convergence-of-taylor-series
Concavity
Examine the relationship between the first and second derivative and shape of a function.https://education.ti.com/en/activity/detail/concavity
Derivative Grapher
Visualize the relationship between the graph of a function and the graph of its derivative function.https://education.ti.com/en/activity/detail/derivative-grapher
Derivative Function
Transition from thinking of the derivative at a point to thinking of the derivative as a function.https://education.ti.com/en/activity/detail/derivative-function
Definite Integral
Make visual connections between the definite integral of a function and the signed area between the function and the x-axis.https://education.ti.com/en/activity/detail/definite-integral
Average Value
Examine areas as integrals and as rectangles for given functions.https://education.ti.com/en/activity/detail/average-value
Area Function Problems
Understand the relationship between the area under a derivative curve and the antiderivative function.https://education.ti.com/en/activity/detail/area-function-problems
Polygons - Diagonals
Students will investigate the number of diagonals in each polygon with three through ten sides, then develop a formula for the relationship between the number of sides and the number of diagonals of the polygons. Some prior familiarity with constructing segments and basic functions of the TI-Nsp...https://education.ti.com/en/activity/detail/polygons--diagonals
Inverse Derivative
Visualize the reciprocal relationship between the derivative of a function and the derivative of its inverse.https://education.ti.com/en/activity/detail/inverse-derivative
Limits of Functions
Investigate limits of functions at a point numerically.https://education.ti.com/en/activity/detail/limits-of-functions
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
Square Root Spiral and Function Graphs
In this activity, students will investigate the spiral formed by square roots of consecutive numbers, numerical approximations for square roots, the plot of the square root spiral arm lengths, and the graph of the square root function.https://education.ti.com/en/activity/detail/square-root-spiral-and-function-graphs
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
Growing Patterns
This lesson involves using pattern growth to construct functions.https://education.ti.com/en/activity/detail/growing-patterns
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
Dinner Party
Students investigate the total cost of a private party at three restaurants and then model the cost of a party at each restaurant with the graph of a linear function.https://education.ti.com/en/activity/detail/dinner-party_1
Printing Your Own Books - is it more cost effective?
In this activity, students will create functions based on real-life scenarios, fill out a table of values, and critically analyze characteristics of graphs.https://education.ti.com/en/activity/detail/printing-books
Dog Days or Dog Years?
Students use ordered pairs, table of values, and a scatter plot to determine a function that represents real world data.https://education.ti.com/en/activity/detail/dog-days-or-dog-years
Inscribed Regular Polygons
Students will calculate the changing area and perimeter of inscribed polygons as the number of sides increase. The measurements will be recorded in a spreadsheet for analysis. Students will be learning to use the measurement tools and the Hide/Show function of the TI-Nspire. Students will be aske...https://education.ti.com/en/activity/detail/inscribed-regular-polygons