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
Applications of Critical Points
Students will examine the relationship between critical points and local extrema through real-world examples. Students will zoom in on the critical points to see if the curve becomes linear to determine if the function is differentiable at the critical point. They will then discover that the sign...https://education.ti.com/en/activity/detail/applications-of-critical-points
Integration By Substitution
Students explore methods for computing integrals of functions that are not in one of the standard forms.https://education.ti.com/en/activity/detail/integration-by-substitution_1
Inflection Points
Students investigate points of inflection on a function and its first and second derivatives, and discover how they relate to each other.https://education.ti.com/en/activity/detail/inflection-points
Proof by Counterexample of the SSA and AAA Cases
Students will use the geometry functions of the Nspire to create triangles with SSA and AAA details. Then these counterexamples are used to disprove possible SSA and AAA conjectures.https://education.ti.com/en/activity/detail/proof-by-counterexample-of-the-ssa-and-aaa-cases
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
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
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
Domain and Range of Exponential Functions
Determine the domain and range of an exponential function f(x) = bx.https://education.ti.com/en/activity/detail/domain-and-range-of-exponential-functions
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
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
Exploring Transformations
Explore transformations of an absolute value function.https://education.ti.com/en/activity/detail/exploring-transformations
Back In Time?
Students will explore the definition of a function through use of a graph, a set of ordered pairs, and an input-output diagram.https://education.ti.com/en/activity/detail/back-in-time_1
Algebra Nomograph
This activity is similar to a function machine. The nomograph is comprised of two vertical number lines, input on the left and output on the right. The transformation of input to output is illustrated dynamically by an arrow that connects a domain entry to its range value. Students try to find th...https://education.ti.com/en/activity/detail/algebra-nomograph
Trains in Motion
Compare and contrast the motion of two objects and how it corresponds to distance as a function of time.https://education.ti.com/en/activity/detail/trains-in-motion_1
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
Helping students learn how to use built-in functions on the TI nspire
Students will follow step-by-step directions to become familiar with how to use the TI nspire's built in functions. Tutorial includes converting to decimal, approximating fractions, finding remainders, finding LCM, using factorials, creating mixed numbers, and factoring numbers to their prime fac...https://education.ti.com/en/activity/detail/helping-students-learn-how-to-use-builtin-functions-on-the-ti-nspire
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
Polar Graphs
Relate polar coordinates to rectangular coordinates and plot polar functions.https://education.ti.com/en/activity/detail/polar-graphs