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Can Pythagoras Swim?

Students will investigate relationships between sides of right triangles to understand the Pythagorean theorem and then use it to solve problems. Students will simplify expressions using radicals and exponents in this activity.
https://education.ti.com/en/activity/detail/can-pythagoras-swim_1

What’s Half of a Half of a Half?

Students will use a physical model to determine what happens when they repeatedly halve a piece of paper, and then they reassemble the pieces into a whole. They then use an algebraic model to analyze the same situation, which leads to an introductory discussion of limits.
https://education.ti.com/en/activity/detail/whats-half-of-a-half-of-a-half

The First Twelve Days of School

Students learn to organize data, look for patterns, and solve problems. They will count the number of "coins" in a variation of The Twelve Days of Christmas song. They will also generalize the patterns through symbolic expressions.
https://education.ti.com/en/activity/detail/the-first-twelve-days-of-school

LRAM_RRAM_MRAM -- A Graphical Investigation of how area under a curve is approx with rectangles.

This activity is designed for the student to investigate how area bounded by a curve and the x-axis can be approximated with areas of rectangles using LRAM, RRAM, MRAM. 
https://education.ti.com/en/activity/detail/lram_rram_mram--a-graphical-investigation-of-how-area-under-a-curve-is-approx-with-rectangles

3x3 Linear Systems of Equations

This lesson involves connecting graphical representations of systems of linear equations in three variables to the number of solutions of those systems.
https://education.ti.com/en/activity/detail/3x3-linear-systems-of-equations

10% Rule

This lesson involves investigating the differences between the standard deviations of sampling distributions of means for samples taken from finite populations with and without replacement.
https://education.ti.com/en/activity/detail/10-rule_1

It's To Be Expected - 84

Students use a tree diagram to find theoretical probabilities and use this information with lists to find the expected value.
https://education.ti.com/en/activity/detail/its-to-be-expected

Shark Attack

In this activity, students will use sliders to separate what effect each change in the Point-Slope equation has on the graph. Then they will calculate the slope and write their own Point-Slope form of an equation using two data points and use the Graph Trace to make predictions.
https://education.ti.com/en/activity/detail/shark-attack_1

Taxes & Tips

In this activity, students will increase their understanding of the use of the formula T = r × p, which is encountered both in the real world and in the typical Algebra 1 class. They will calculate the amount of taxes and tips exactly, and then use estimation.
https://education.ti.com/en/activity/detail/taxes--tips

Introduction to Quadratic Equations

This activity allows students to gain an understanding of quadratic equations. They will begin by using a Lists and Spreadsheet page to find the y-values of a specific function. They will then plot the x and y-values using a scatter plot to see the shape of the parabola. On top of this scatter...
https://education.ti.com/en/activity/detail/introduction-to-quadratic-equations

Fencing the Dog Yard

Algebra 1 students investigate how the area of a dog yard changes based upon a fixed amount of fencing. The concepts presented are a nice introduction to working with quadratics.
https://education.ti.com/en/activity/detail/fencing-the-dog-yard

Vertical and Phase Shifts

Students explore vertical and phase shifts of sine and cosine functions and determine the effect that each change has upon the shape of the graph.
https://education.ti.com/en/activity/detail/vertical-and-phase-shifts

Graphs of the OTHER Trig Functions

This lesson involves providing opportunities for students to explore and make sense of the graphs of the cotangent, secant, and cosecant functions.
https://education.ti.com/en/activity/detail/graphs-of-the-other-trig-functions_1

Proof of Identities

This lesson involves discovering, visualizing, and proving trigonometric identities.
https://education.ti.com/en/activity/detail/proof-of-identities

Trigonometric Proofs

Students will perform trigonometric proofs and use the graphing capabilities of the TI-Nspire for verification.
https://education.ti.com/en/activity/detail/trigonometric-proofs

Spring Training

Students explore parametric equations by finding the horizontal and vertical distances traveled by a projectile.
https://education.ti.com/en/activity/detail/spring-training_1

Introduction to Conic Sections

This lesson involves observing how each of the conic sections is formed and connecting the locus definition of a parabola with the vertex form of a parabola.
https://education.ti.com/en/activity/detail/introduction-to-conic-sections

Linear Transformations

This lesson involves linear transformations from R2 to R2 represented by matrices. Note: R2 = R x R represents the set of all pairs of real numbers.
https://education.ti.com/en/activity/detail/linear-transformations

Rational Functions

Students investigate the graphs of functions of the form y = 1/(x - a). They will discover that the graph of such a function has a vertical asymptote at x = a, and a horizontal asymptote at y = 0. They will investigate the graphic and numeric consequences of such asymptotic behavior by observing ...
https://education.ti.com/en/activity/detail/rational-functions_2

Spring Training

Students will explore parametric equations by finding the horizontal and vertical distances traveled by a projectile.
https://education.ti.com/en/activity/detail/spring-training

Applications of Domain and Range

Determine domain and range in real-world situations. Writing and graphing equations to model problems. Recognize the meaning of domain and range in the real-world situations.
https://education.ti.com/en/activity/detail/applications-of-domain-and-range

An Application of Parabolas

Students discover how the parameters of an equation of a parabola affect its graph and affect a real-world problem.
https://education.ti.com/en/activity/detail/an-application-of-parabolas

Around the Vertex in 80 Days

Students move a quadratic function in the coordinate plane to specific points to observe how the vertex form of the equation changes.
https://education.ti.com/en/activity/detail/around-the-vertex-in-80-days

Limacon Curve

In this activity, students will observe different graphs of polar limaçon curves. Students will discover four different types of limaçon curves and their relationship to the ratio of a to b.
https://education.ti.com/en/activity/detail/limacon-curve

Graphing Relationships

In this activity, students explore information about a graph based on the first and second derivatives. They learn that a function's derivative is positive when the function increases and negative when the function decreases. They learn that the second derivative is positive when the graph is con...
https://education.ti.com/en/activity/detail/graphing-relationships