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Perpendicular Slopes

Students investigate the "negative reciprocal" relationship between the slopes of perpendicular lines. The final phase of the activity is appropriate for more advanced students as they are led through an algebraic proof of the relationship.
https://education.ti.com/en/activity/detail/perpendicular-slopes_1

Coordinate Geometry - Circles

In this activity, students investigate the relationship between the coordinates of a point on the circle, radius of a circle, and the values in the equation of the circle.
https://education.ti.com/en/activity/detail/coordinate-geometry--circles

Sequence of Bounces

In this activity, students will explore the rebound heights of a ball and develop a sequence that will predict the rebound height of subsequent bounces. They will also find the total distance that the ball travels.
https://education.ti.com/en/activity/detail/sequence-of-bounces

Conics as a Locus of Points

Students investigate the definition of a parabola through one of its geometric definitions. They study conic sections. They examine an ellipse as a locus of points such that the sum of distances from the foci to the traced path is constant.
https://education.ti.com/en/activity/detail/conics-as-a-locus-of-points

Midpoint of a Segment

Students review the basic geometry definitions of segment and midpoint, and learn to use drawing and measurement tools. They explore changes in measurements as the figure is altered. NCTM Geometry Standard covered: Analyze characteristics and properties of 2- and 3-dimensional geometric shapes a...
https://education.ti.com/en/activity/detail/midpoint-of-a-segment

Midsegments of Quadrilaterals

In this activity, students will extend their understanding of midsegments by investigating the midsegments of a quadrilateral and the midsegment quadrilateral.
https://education.ti.com/en/activity/detail/midsegments-of-quadrilaterals

Measuring Angles in a Quadrilateral

In this activity, use an interactive, and investigative approach to determining the sum of the interior angles of a quadrilateral. They use Cabri™ Jr. to draw, measure, and calculate the characteristics of the angles of quadrilaterals. NCTM Geometry Standard covered: Analyze characteristics and p...
https://education.ti.com/en/activity/detail/measuring-angles-in-a-quadrilateral

Math TODAY: Ballooning Inside the Box

Using the USATODAY® Infograph, "Ballooning Inside the Box," students will explore geometric relationships using similar triangles. Identifying triangles with two pairs of congruent angles to explore similarity properties of the triangles is an essential part of this activity.Students will learn w...
https://education.ti.com/en/activity/detail/math-today--ballooning-inside-the-box

Investigating the Parabola in Vertex Form (y = ax2 + bx + c)

In this activity, students investigate the standard form of the quadratic function, y = ax2 + bx + c. They investigate the changes on the graph of a quadratic equation that result from changes in A, B, and C. They also locate the vertex of a parabola when its quadratic equation is expressed in st...
https://education.ti.com/en/activity/detail/investigating-the-parabola-in-vertex-form-y--axsup2sup--bx--c

Proof of Identity

Students use graphs to verify the reciprocal identities. They then use the calculator's manual graph manipulation feature to discover the negative angle, cofunction, and Pythagorean trigonometric identities.
https://education.ti.com/en/activity/detail/proof-of-identity

Where’s the Point?

This activity can be used to introduce students to the Cartesian plane. They should have some familiarity with how points are located in the plane using two coordinates, but the emphasis in this activity is solidifying students' understanding of just how that is done. As configured, the activity ...
https://education.ti.com/en/activity/detail/wheres-the-point

Winning Inequalities (Part 2)

Students graph systems of linear inequalities and investigate the concepts of constraints and feasible polygons.
https://education.ti.com/en/activity/detail/winning-inequalities-part-2

How Many Solutions?

In this activity, students graph systems of linear functions to determine the number of solutions. In the investigation, students are given one line and challenged to draw a second line that creates a system with a particular number of solutions.
https://education.ti.com/en/activity/detail/how-many-solutions_1

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

Supertall Skyscrapers

Students measure scale drawings of famous "supertall" skyscrapers and solve more proportions to find the heights of other skyscrapers drawn with the same scale.
https://education.ti.com/en/activity/detail/supertall-skyscrapers_1

Properties of Logarithms

Students use a combination of algebra and graphing to discover the properties of logarithms.
https://education.ti.com/en/activity/detail/properties-of-logarithms_1

Intersection

In this activity, students will investigate modeling the motion of two people to find where they will meet and at what rate each was walking.
https://education.ti.com/en/activity/detail/intersection

Modeling Probabilities

Students use simulations and graphs to explore what happens when the number of trials of a binomial experiment becomes a large number.
https://education.ti.com/en/activity/detail/modeling-probabilities

The Shrinking Dollar

Students examine the long term effects of inflation. They compute the increase in cost price due to compounding of inflation rates every year. They recognize that this increase in cost price is exponential.
https://education.ti.com/en/activity/detail/the-shrinking-dollar

Radical Functions

Students use a nomograph to investigate functions defined by square roots.
https://education.ti.com/en/activity/detail/radical-functions

Taxes & Tips

Students explore the taxes and tips percentages commonly used in stores and restaurants. They will first develop the pattern of converting a percent to a decimal.
https://education.ti.com/en/activity/detail/taxes--tips_1

Old MacDonald's Pigpen

Students solve a standard maximum value problem using the calculator. Students help Old MacDonald build a rectangular pigpen with 40 m fencing that provides maximum area for the pigs. They graph scatter plots, analyze quadratic functions, and find maximum value of a parabola.
https://education.ti.com/en/activity/detail/old-macdonalds-pigpen

Exploring Standard Form of a Quadratic Function

Students explore y=ax^2+bx+c using the transform graphing application. Teacher calculator is used with Navigator to send device settings, the equation format and initial coefficient values to all students. Worksheet includes all student instructions, along with blank grids for students to sketch ...
https://education.ti.com/en/activity/detail/exploring-standard-form-of-a-quadratic-function

Cricket Thermometers

In this activity, students investigate the relationship between temperature and number of cricket chirps. They learn to find the other value of a function when given one value of a function. Students use linear regression and plot a set of ordered pairs.
https://education.ti.com/en/activity/detail/cricket-thermometers

Unit Circle

Students discover the relationship between the trigonometric functions sine, cosine, and tangent and the side length ratios of a right triangle.
https://education.ti.com/en/activity/detail/unit-circle