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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

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

Taylor Polynomial Examples

Taylor polynomials associated with five common functions.
https://education.ti.com/en/activity/detail/taylor-polynomial-examples

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

Modeling Situations Using Piecewise Functions

In this activity, the students use piecewise functions to describe and model everyday situations.
https://education.ti.com/en/activity/detail/modeling-situations-using-piecewise-functions

Investigating the Sine Function

In this activity, students will use their Nspire handhelds to discover the different attributes of the graph of the sine function. The students will take advantage of the dynamic capabilities of this very unique handheld to explore the amplitude, period, and phase shift of the sine function grap...
https://education.ti.com/en/activity/detail/investigating-the-sine-function

Absolute Value

This lesson involves the family of absolute value functions of the form f(x) = a |x + c| + b.
https://education.ti.com/en/activity/detail/absolute-value

Graphing Quadratic Functions

Students graph quadratic functions and study how the variables in the equations compare to the coordinates of the vertices and the axes of symmetry in the graphs.
https://education.ti.com/en/activity/detail/graphing-quadratic-functions

Transformations of Logarithmic Functions

This lesson involves the family of logarithmic functions of the form f(x) = c*logb(x+a).
https://education.ti.com/en/activity/detail/transformations-of-logarithmic-functions

Zeros of a Cubic

This activity introduces students to a relationship between the zeros of a cubic function with 3 distinct zeros.
https://education.ti.com/en/activity/detail/zeros-of-a-cubic

Power Function Inverses

Examine the graphs of power functions with even and odd integer powers.
https://education.ti.com/en/activity/detail/power-function-inverses

Polynomials: Factors, Roots and Zeroes

Investigate graphical and algebraic representations of a polynomial function and its linear factors.
https://education.ti.com/en/activity/detail/polynomials-factors-roots-and-zeroes

Parabolic Paths

Manipulate the equation of a quadratic function so that its graph passes through a particular point.
https://education.ti.com/en/activity/detail/parabolic-paths

Radical Transformations

Students will use sliders to examine how the square root function is transformed on the coordinate plane.
https://education.ti.com/en/activity/detail/radical-transformations_1

Quadratic Functions and Stopping Distance

Analyze data in real-life applications of the quadratic function.
https://education.ti.com/en/activity/detail/quadratic-functions-and-stopping-distance

Modeling with a Quadratic Function

In this lesson, students use a quadratic function to model the flight path of a basketball. Students will interpret the parameters of the quadratic model to answer questions related to the path of the basketball.
https://education.ti.com/en/activity/detail/modeling-with-a-quadratic-function

Inverse Fun

Investigate inverses of functions.
https://education.ti.com/en/activity/detail/inverse-fun

Standard Form of Quadratic Functions

Use sliders to determine the effect the parameters have upon a quadratic function in standard form.
https://education.ti.com/en/activity/detail/standard-form-of-quadratic-functions

Graphing Exponentials

Investigate the graphs of the family of exponential functions.
https://education.ti.com/en/activity/detail/graphing-exponentials

Discriminant Testing

Discover the relationship between the value of the discriminant and the nature of the roots of quadratic functions.
https://education.ti.com/en/activity/detail/discriminant-testing

Exploring Power Functions 1

Examine the graphs of power functions with even and odd positive integer exponents.
https://education.ti.com/en/activity/detail/exploring-power-functions-1

Why is the Sky Blue and When Will We Ever Use This?

Have you ever tried to come up with a real life example for a rational function with an exponent to the negative four? Have you ever wondered why the sky is blue? Here is a short example of the uses of a rational function.
https://education.ti.com/en/activity/detail/why-is-the-sky-blue-and-when-will-we-ever-use-this

Exponential vs. Power

Compare rates of growth between an exponential function and a power function for positive x-values.
https://education.ti.com/en/activity/detail/exponential-vs--power

Vertex and Factored Form of Quadratic Functions

Determine the effect of parameters have upon the graph of the quadratic function in vertex and factored form.
https://education.ti.com/en/activity/detail/vertex-and-factored-form-of-quadratic-functions