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Ride the Rollercoaster

In this activity, students will use polynomial regression to develop and assess the fit of equations modeling data. The equation models are then evaluated for reasonableness in their use for extrapolating beyond the given data sets.
https://education.ti.com/en/activity/detail/ride-the-rollercoaster_1

Round and Round She Goes...

Students will explore relationships on a unit circle by identifying coordinates of points given an angle measure in degrees.
https://education.ti.com/en/activity/detail/round-and-round-she-goes

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

Properties of an Ellipse

Students discover properties of an ellipse, such as the set of all points such that the sum of the distances from these points to two fixed points is constant.
https://education.ti.com/en/activity/detail/properties-of-an-ellipse

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

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

Count the Differences

Students are given data, asked to find the finite differences, and then use this to find a polynomial that models the data.
https://education.ti.com/en/activity/detail/count-the-differences_1

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

Investigating the Derivatives of Some Common Functions

In this activity, students will investigate the derivatives of sine, cosine, natural log, and natural exponential functions by examining the symmetric difference quotient at many points. They develop the idea of the derivative as a function. They gather evidence toward some common derivative for...
https://education.ti.com/en/activity/detail/investigating-the-derivatives-of-some-common-functions

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

Factoring Composite Numbers

In this activity, students will review terms associated with prime factors, as well as practice factoring into a factor tree and the prime factorization into exponent form.
https://education.ti.com/en/activity/detail/factoring-composite-numbers

One Step at a Time

Students solve one-step equations involving addition and multiplication by substituting possible values of a variable.
https://education.ti.com/en/activity/detail/one-step-at-a-time

Order Pears

In this activity, students will interactively investigate ordered pairs. They will graphically explore the coordinates of a point on a Cartesian plane, identifying characteristics of a point corresponding to the coordinate. Students will plot ordered pairs of a function, list these in a table of ...
https://education.ti.com/en/activity/detail/order-pears_1

Testing for Truth

Students identify whether points lie within a shaded region that is bounded by linear inequalities.
https://education.ti.com/en/activity/detail/testing-for-truth

Working Hard or Hardly Working?

Students analyze univariate and bivariate data. Questions are posed for discussion, further research, and algebraic problem solving.
https://education.ti.com/en/activity/detail/working-hard-or-hardly-working_1

Zeros of a Quadratic Function Application

Students use quadratic functions to find the width of a deck surrounding a rectangular pool.
https://education.ti.com/en/activity/detail/zeros-of-a-quadratic-function-application

The Dirty Dawg Salon

In this activity, students will work through a scenario of a business venture involving washing dogs. They will translate fixed and variable costs to a cost function and make a decision about how much to charge to wash per dog. When the break-even point is found, students must interpret it to ans...
https://education.ti.com/en/activity/detail/the-dirty-dawg-salon

Bewildered Babies

Students test the limits of the combinations formula by applying it to a labeling situation. After making charts and using logic to list possible label arrangements, students compare their results with the output of the combinations formula and nCr command.
https://education.ti.com/en/activity/detail/bewildered-babies_1

What Is My Rule?

This activity encourages students to gain experience with the language of the Cartesian coordinate system. Each of the problems shows two points, z and w. Point z can be dragged, and point w moves in response. In describing the rule that governs the location of point w, students will most likely ...
https://education.ti.com/en/activity/detail/what-is-my-rule

Shall I Double Up or Take the Million? Exponential Growth

If you were given the opportunity to be given a permanent monthly salary of 1,000,000 for 30 days of work or a salary beginning with a penny on day one and doubling each day for 30 days which would you choose?
https://education.ti.com/en/activity/detail/shall-i-double-up-or-take-the-million-exponential-growth

Points on a Line

The Points on a Line activity is intended to develop student understanding of slope of a line. This activity is based on the concept of vertical change and horizontal change when moving between two points on a line. Students will perform an action on the TNS file and observe the consequences of ...
https://education.ti.com/en/activity/detail/points-on-a-line

Application of Slopes

Students will apply the concept of slope to a real-world problem about building a staircase. They will use the slope ratio, vertical change over horizontal change, to find the slope of staircase. Then, students will recognize how a positive or negative slope applies in a real-world situation.
https://education.ti.com/en/activity/detail/application-of-slopes

Triangles and Slope - Is the Triangle Possible?

Students will construct triangles that match specific criteria. If it is possible to construct the triangle, the students have to construct the triangle and state the slope of each side. If the triangle is impossible to construct, the students must write a detailed explanation as to why it is im...
https://education.ti.com/en/activity/detail/triangles-and-slope--is-the-triangle-possible

Find the Equation of the Line

Teachers and/or students will look at given information (two points, a point and a slope, a point and a parallel line, and a point and a perpendicular line) and have to find the linear function that works. As the activity is occuring on the calculator, the students have a worksheet to record the...
https://education.ti.com/en/activity/detail/find-the-equation-of-the-line