Concavity
Examine the relationship between the first and second derivative and shape of a function.https://education.ti.com/en/activity/detail/concavity
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
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
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
Making Hay While the Sun Shines & Not Losing It in the Rain (The Geometry of the Big Round Bale)
This activity explores the volume of the hay bale and the percent of loss as the radius of the bale decreases. The extension collects data from the constructed cylinder in a spreadsheet and graphs it. The graphs are modeled with quadratic functions and transformations of quadratic functions can...https://education.ti.com/en/activity/detail/making-hay-while-the-sun-shines--not-losing-it-in-the-rain--the-geometry-of-the-big-round-bale
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
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
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
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
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
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
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
Exploring Functions
Students will explore functions and identify domain and range using graphs, equations, and function tables. This activity was created for students who have had a lesson of functions and have some basic knowledge of TI-Nspire technology.https://education.ti.com/en/activity/detail/exploring-functions
Equations from Unit Rates
This lesson involves finding a linear equation and confirming the equation represents a proportional relationship with numeric values in ordered pairs or in functions tables.https://education.ti.com/en/activity/detail/equations-from-unit-rates
Polar Graphs
Relate polar coordinates to rectangular coordinates and plot polar functions.https://education.ti.com/en/activity/detail/polar-graphs
Center and Spread
Students will recognize that the mean and standard deviation (SD) and the median and interquartile range (IQR) are two ways to measure center and spread.https://education.ti.com/en/activity/detail/center-and-spread
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
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