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Application of Maximum-Minimum Problems

Students will use a graphing approach to find the minimum costs of running a new line from a power station to a point on an island. Students will begin with a scaled drawing and follow the prompts. They will also manually collect data and find a curve of best fit.
https://education.ti.com/en/activity/detail/application-of-maximumminimum-problems

Law of Sines

Students will investigate all the cases in which the Law of Sines can be used to solve a triangle. An animation is provided in the lesson which will help students to gain a better understanding of the ambiguous case SSA.
https://education.ti.com/en/activity/detail/law-of-sines_1

Law of Sines: The Ambiguous Case

A simple model is used to illustrate the various possibilities of the ambiguous case of the Law of Sines. Students manipulate the model to create each of the possible cases and then make conjectures about the relationship between the various given measurements and the number of possible triangle...
https://education.ti.com/en/activity/detail/law-of-sines-the-ambiguous-case

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

From 0 to 180 - Rethinking the Cosine Law with Data

The goal of this activity is for students to experience a data-driven, inductive investigation leading to the cosine law. This could be used in addition to or instead of the traditional proof to deepen the understanding of the behavior of triangles and make the concepts more accessible to more s...
https://education.ti.com/en/activity/detail/from-0-to-180--rethinking-the-cosine-law-with-data

How Much Does Bubble Gum Stretch a Rubber Band?

Students will conduct an experiment where they determine how much various quantities of bubble gum affect the length of a rubber band.
https://education.ti.com/en/activity/detail/how-much-does-bubble-gum-stretch-a-rubber-band

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

Hitting Homeruns

It is a study of the way a hit baseball moves through the air in the sense of using a quadratic function.
https://education.ti.com/en/activity/detail/hitting-homeruns

Permutations & Combinations

Students explore permutations and combinations by arranging letters when order does and does not make a difference.
https://education.ti.com/en/activity/detail/permutations--combinations_1

Parabola Construction

Students will construct a parabola using the focus and directrix definition. An extension problem has students explore how the location of the focus with respect to the directrix affects the shape of the parabola.
https://education.ti.com/en/activity/detail/parabola-construction_1

Polar Point Plotting

The student will be given a brief overview of the Polar Coordinate system. Students will be able to manipulate the radius of a polar point while graphing it on the plane or manipulate the angle and see the polar coordinate graphed on the plane. This activity is meant as an introduction to polar p...
https://education.ti.com/en/activity/detail/polar-point-plotting

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

Inverse Fun

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

Have You Lost Your Marbles?

In this activity, students will create a bridge between two chairs and use a slinky to attach a bucket to the bridge. Students will add objects to the bucket and determine the relationship between the number of items added and the distance from the floor.
https://education.ti.com/en/activity/detail/have-you-lost-your-marbles

Calculations at the Crazy Cookie Company

Performing matrix multiplication for the first time, students are prompted to use reasoning skills to determine if matrix products are possible for given pairs of matrices. The tutorial leads them through matrix product operations to find rules for matrix multiplication and predicting dimensions ...
https://education.ti.com/en/activity/detail/calculations-at-the-crazy-cookie-company

Exponential Growth and Decay

This activity is a few word problems that involve some formulas that use exponential growth and decay.
https://education.ti.com/en/activity/detail/exponential-growth-and-decay

Duckweed: Exponential Growth

Students will count the fronds of duckweed for nine days to observe the growth phase. Students will need one class period to start the experiment and one day for the final work and 15 minutes per day between start and finish.
https://education.ti.com/en/activity/detail/duckweed--exponential-growth

Drawing Dynamic Vectors with NSpire

This is a "how to" file for drawing vectors with a split screen with NSpire.
https://education.ti.com/en/activity/detail/drawing-dynamic-vectors-with-nspire

Eccentricity of Polar Equations of Conics

This activity will give students a series of polar equations of conics to discover a pattern of the eccentricity of each type of conic.
https://education.ti.com/en/activity/detail/eccentricity-of-polar-equations-of-conics

Exploring the Cycloid Curve

The TI Nspire's animation feature is used to show how a point on a rotating circle creates the cycloid curve. Students then examine the parametric equation of the cycloid. Finally, students are tasked with going online to investigate the terms brachistochronous and tautochronous and their relat...
https://education.ti.com/en/activity/detail/exploring-the-cycloid-curve

Roots of Radical Equations

In this activity, students will solve radical equations graphically. Several square and cubic root equations are given for students to graph and find intersections with the x-axis. Students will also use the distance formula to solve an extension problem.
https://education.ti.com/en/activity/detail/roots-of-radical-equations

Domain and Range 2

Identify the domain and range of a relation from its graph.
https://education.ti.com/en/activity/detail/domain-and-range-2

Polar Necessities

Students will graphically and algebraically find the slope of the tangent line at a point on a polar graph. Finding the area of a region of a polar curve will be determined using the area formula.
https://education.ti.com/en/activity/detail/polar-necessities

Simulating Fairness

In this coding activity, students will create a simulation for the game “Evens or Odds”.  The simulation will allow students to investigate the fairness of different variations of the game.
https://education.ti.com/en/activity/detail/simulating-fairness

Creating a Midpoint Quad

Explore special outer and inner quadrilaterals formed by the connected midpoints and investigate the area relationships.
https://education.ti.com/en/activity/detail/creating-a-midpoint-quad