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Can You Make My Graph?

Students are to find the equations of graphs of trigonometric functions (using sine and cosine) and will also identify values for the amplitude, period, phase shift, and vertical shift. This activity is a modified version of the activity "What's the Equation?" originally made by Lauren Jensen.
https://education.ti.com/en/activity/detail/can-you-make-my-graph

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 Sine and Cosine Functions Graphically

Students will use Sliders on the TI-Nspire to change coefficients of the basic sine and cosine function. Students will investigate how the graph changes by looking at different coefficients. Students will also investigate the sine and cosine graphs by comparing intersection points. Download t...
https://education.ti.com/en/activity/detail/investigating-sine-and-cosine-functions-graphically

Inverse Trig Functions

This activity works backwards by giving students the inverse functions and having them discover how they relate to the original functions. By tracing along the inverse function, data is collected and then plotted on a statplot. The variables are then switched on the statplot. The new plot and ...
https://education.ti.com/en/activity/detail/inverse-trig-functions

Unit Circle

Students will use the unit circle to find the value of trigonometric functions of various angles. Students will find connections between the unit circle and the trigonometric functions sine and cosine.
https://education.ti.com/en/activity/detail/unit-circle_2

How to Save Functions and Take Derivatives

Saving Functions and Take Derivatives using Your Ti-Nspire CAS CX
https://education.ti.com/en/activity/detail/how-to-save-functions-and-take-derivatives

Unit Circle

Students will be able to describe the relationship between the unit circle and the sine and cosine functions. They will be also able to describe the shape of the sine and cosine curves after "unwrapping" the unit circle.
https://education.ti.com/en/activity/detail/unit-circle_1

Linear Equation Games Unit:Activity #1 Find The Rule Game

Students are to find equations of linear function from a table of values. There are two Find the Rule Game activities along with a Find the Rule Game for Point Slope.
https://education.ti.com/en/activity/detail/linear-equation-games-unitactivity-1-find-the-rule-game

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

Verifying Trigonometric Identities

The student will look at the different tools needed to verify trigonometric identitites including reciprocals, cofunctions, quotient, and Pythagorean identities. Students will also be introduced to the "Hexagon".
https://education.ti.com/en/activity/detail/verifying-trigonometric-identities

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

Folding Parabolas

In this activity, students graph a quadratic function and investigate its symmetry by choosing pairs of points with the same y-value. They then calculate the average of the x-values of these points and discover that not only do all the points have the same x-value, but the average is equal to the...
https://education.ti.com/en/activity/detail/folding-parabolas

Graphs of Tangent, Cotangent, Secant, and Cosecant

The goal of this activity is for students to see how the graphs of tangent, cotangent, secant, and cosecant are generated and related to the unit circle. A point is animated around the unit circle as data points are captured to create a scatter plot. Students discover a way to relate each of th...
https://education.ti.com/en/activity/detail/graphs-of-tangent-cotangent-secant-and-cosecant

Graph Sine and Cosine

Student will use the unit circle coordinates and angles to create the data that they will use to graph the sine and cosine functions and show the data is on the graph of them. The students will move a point in a graph to manually collect the data needed to make the graph. They will edit spreads...
https://education.ti.com/en/activity/detail/graph-sine-and-cosine

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

Proof of Identity

Students use graphs to verify the reciprocal identities. They then use the handheld's manual graph manipulation feature to discover the negative angle, cofunction, and Pythagorean trigonometric identities. Geometric proofs of these identities are given as well.
https://education.ti.com/en/activity/detail/proof-of-identity_1

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

Particle Motion 2

This lesson involves the motion of a particle along a straight, horizontal line associated with a general position function.
https://education.ti.com/en/activity/detail/particle-motion-2

The Unit Circle

Students will be able to describe the relationship between the unit circle and the sine and cosine functions. They will be also able to describe the shape of the sine and cosine curves after "unwrapping" the unit circle.
https://education.ti.com/en/activity/detail/the-unit-circle

The Function Elevator

This lesson involves creating and comparing graphical representations of position and velocity functions from a scenario.
https://education.ti.com/en/activity/detail/the-function-elevator

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

Rational Roots of Polynomial Functions

In this activity, students apply the Rational Root Theorem in determining the rational roots of 4 polynomial functions. Results of the application of the theorem are compared to results obtained graphically to identify the presence of irrational roots.
https://education.ti.com/en/activity/detail/rational-roots-of-polynomial-functions