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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

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

Tessellations

Students will explore tessellations of triangles and quadrilaterals. They will use the transformation tools of symmetry, reflections, rotations, and/or translations.
https://education.ti.com/en/activity/detail/tessellations_1

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

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

Continuity and Differentiability 2

Explore piecewise graphs and determine conditions for continuity and differentiability.
https://education.ti.com/en/activity/detail/continuity-and-differentiability-2

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

The sum of the interior angles of regular polygons

The students will construct triangles within regular-sided polygons to determine the sum of the interior angles. They will then, using statistics, create a linear regression to determine the relationship between the number of sides of a regular polygon and the sum of its interior angles.
https://education.ti.com/en/activity/detail/the-sum-of-the-interior-angles-of-regular-polygons

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

Side Length, Perimeter, and Area of a Rectangle

Explore the effects of changing base (or height) of a rectangle on it's perimeter and area.
https://education.ti.com/en/activity/detail/side-length-perimeter-and-area-of-a-rectangle

Side-Side-Angle: The Ambiguous Case

Experiment with segment lengths and angle measures.
https://education.ti.com/en/activity/detail/sidesideangle-the-ambiguous-case

Similar Figures

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

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 the Pythagorean Theorem - President Garfield's Proof

This is the same proof that is found on the TI-Exchange website for the 84 plus, but I modified it for the Nspire handhelds.
https://education.ti.com/en/activity/detail/proving-the-pythagorean-theorem--president-garfields-proof

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

Triangle Midsegments

Investigate the relationships between a triangle and the similar triangle formed by one of the triangle's midsegments.
https://education.ti.com/en/activity/detail/triangle-midsegments

Transformers

Students explore a special subset of the transformations of a square called the symmetry group.
https://education.ti.com/en/activity/detail/transformers

Patterns in Area - Impact of Changes in Length and Width

Students will explore what happens to the area of a rectangle if you double the length and width.
https://education.ti.com/en/activity/detail/patterns-in-area--impact-of-changes-in-length-and-width

Transformations With Lists

Students use list operations to perform reflections, rotations, translations and dilations on a figure, and graph the resulting image using a scatter plot.
https://education.ti.com/en/activity/detail/transformations-with-lists_1