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The Classic Box Problem - Exploration

This lesson takes a classic optimization problem and uses the dynamic linking capabilities to visualize the problem in multiple representations: diagramatic, geometric, graphic, numeric.
https://education.ti.com/en/activity/detail/the-classic-box-problem--exploration

World Population

Students use their handhelds to explore world population data from the years 1950-2006. They will develop various equations to model the data.
https://education.ti.com/en/activity/detail/world-population_1

Change Of Base

Discover the change of base rule for logarithms by examining the ratio of two logarithmic functions with different bases.
https://education.ti.com/en/activity/detail/change-of-base

Change Of Base

In this activity, students discover the change of base rule for logarithms by examining the ratio of two logarithmic functions with different bases.
https://education.ti.com/en/activity/detail/change-of-base

Critical Points and Local Extrema

Visualize the connections between the critical points and local extrema.
https://education.ti.com/en/activity/detail/critical-points-and-local-extrema

Tesselations

In this activity students will explore what causes some regular polygons to tesselate. They will explore sketches of regular polygons, measure the interior angles, and test to see whether the shapes tesselate.
https://education.ti.com/en/activity/detail/tesselations

Secrets in the Triangle

Students will use the geometry screens of the TI-Nspire™ to find points of concurrency by constructing the altitudes, perpendicular bisectors, and medians in triangles. The Euler Line will be found and extensions given.
https://education.ti.com/en/activity/detail/secrets-in-the-triangle

Segment Addition Postulate

The purpose of this handout is to provide students an opportunity to learn the keystrokes involved using the TI-Nspire and to verify the Segment Addition Postulate.
https://education.ti.com/en/activity/detail/segment-addition-postulate

Continuity and Differentiability of Functions

Students will manipulate piecewise functions to make them continuous. Once students create a continuous function, they will calculate derivatives to determine if the function is also differentiable.
https://education.ti.com/en/activity/detail/continuity-and-differentiability-of-functions

Segments and Chords in a Circle

This activity is designed to allow students an opportunity to gain an understanding of the relationship among the segment measures formed by intersecting chords in a circle. It includes an interactive geometry page, some circle problems, and a Euclidean proof.
https://education.ti.com/en/activity/detail/segments-and-chords-in-a-circle

The Radian Sector

In this activity, students will explore properties of sectors. Students will derive the formula for the arc length of a sector and the area of a sector.
https://education.ti.com/en/activity/detail/the-radian-sector

The Sprinkler and the Lawn

Students will apply the concepts of angle bisector, incenter of a triangle, and percentages to solve a real-world problem involving a circular sprinkler and a triangular-shaped lawn.
https://education.ti.com/en/activity/detail/the-sprinkler-and-the-lawn

Shortest Distance

Students will discover, through exploration, that the shortest distance from a point on a line to the origin is a measure of a perpendicular line segment. You will investigate this minimization problem and support the analytical explanations with interactive explorations.
https://education.ti.com/en/activity/detail/shortest-distance

Shortest Distances

Students will explore three situations involving distances between points and lines. First, the minimum distance between two points leads to the Triangle Inequality Theorem. Then, the shortest distance from a point to a line is investigated. Finally, students find the smallest total distan...
https://education.ti.com/en/activity/detail/shortest-distances

Transformtions and Tessellations

In this activity you will construct a variety of transformations. In Problem #1 you will create a reflection of a pentagon, in Problem #2 a translation of a regular hexagon, in Problem #3 a rotation of a quadrilateral in two ways, in Problem #4 a dilation of a triangle. In each case you will ob...
https://education.ti.com/en/activity/detail/transformtions-and-tessellations

Concavity

Examine the relationship between the first and second derivative and shape of a function.
https://education.ti.com/en/activity/detail/concavity

Similar Figures

Observe what happens to ratios of pairs of side of rectangles and triangles.
https://education.ti.com/en/activity/detail/similar-figures

Similar Figures - Using Ratios to Discover Properties

Students will explore similar triangles and set up ratios to discover properties of similar triangles.
https://education.ti.com/en/activity/detail/similar-figures--using-ratios-to-discover-properties

Secant Angle Investigation

This activity will allow students to discover the relationship between the secant angle and the corresponding central angles.
https://education.ti.com/en/activity/detail/secant-angle-investigation

Putting limits on Pi

This activity has the students calculate the perimeter of inscribed and circumscribed regular polygons about a circle and then use the calculated values to determine pi.
https://education.ti.com/en/activity/detail/putting-limits-on-pi

Triangle Inequality Theorem

Given the measures of any three segments, will you always be able to make a triangle?
https://education.ti.com/en/activity/detail/triangle-inequality-theorem

Proving Angles Congruent

In this activity students will be introduced to proofs, including 2-column proofs, paragraph proofs and flow-proofs. They will also look at different diagrams to decide what the diagram is telling them and what they can infere. They will also look at complementary, supplementary, adjacent and v...
https://education.ti.com/en/activity/detail/proving-angles-congruent_1

Triangle Midsegment Exploration

The activity has the students investigate the relationship of the midsegment to the third side of the triangle. In addition the students investigate the area of the smaller triangles compared to the larger one and uses the results to solve the "campground" problem. There is a set of follow-up q...
https://education.ti.com/en/activity/detail/triangle-midsegment-exploration

Paths of Rectangles

This exploration for preservice teachers, looks at how the lengths of the sides of rectangles with equal areas are related. The rectangles are constructed so that one vertex is at the origin. The path of the opposite vertex is an example of indirect variation and demonstrates a connection between...
https://education.ti.com/en/activity/detail/paths-of-rectangles

Derivative Grapher

Visualize the relationship between the graph of a function and the graph of its derivative function.
https://education.ti.com/en/activity/detail/derivative-grapher