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Exploring Midsegments of a Triangle

Students will discover the relationships between a midsegment of a triangle and its third side.
https://education.ti.com/en/activity/detail/exploring-midsegments-of-a-triangle

Volume

This is an activity that explores the volume formula for a prism, cylinder, cone, and pyramid. It also familiarizes students with the use of the Calculate tool.
https://education.ti.com/en/activity/detail/volume

Corresponding Parts of Similar Triangles

Change the scale factor (r) between similar triangles; identify the corresponding parts and establish relationships between them.
https://education.ti.com/en/activity/detail/corresponding-parts-of-similar-triangles

Cell Phone Towers

In this activity students explore the locus of a point that is located twice as far from a given point A as it is from given point B. The locus is Apollonius circle. Students discover that the locus is a circle and then prove it. The key property: If a ray bisects an angle of a triangle, then it ...
https://education.ti.com/en/activity/detail/cell-phone-towers

Angles of a Triangle

This activity explores the various relationships of the angles of a triangle. It starts with an interior angle and its corresponding exterior angle. Then the sum of the interior angles. Finally, the relationship between one exterior angle and its remote interior angles. The students are prov...
https://education.ti.com/en/activity/detail/angles-of-a-triangle_2

Balancing Point

In this activity, students will explore the median and the centroid of a triangle. Students will discover that the medians of a triangle are concurrent. The point of concurrency is the centroid. Students should discover that the center of mass and the centroid are the same for a triangle.
https://education.ti.com/en/activity/detail/balancing-point

Circle Geometry: Property of the Segments of Two Chords Intersecting within a Circle

Students will be able to discover the property of two chords segments intersecting within a circle. They will discover the rule about the segments geometrically, numerically, and graphically. Lesson will touch on line of best fit to explore the relationship between the segments of the two chords.
https://education.ti.com/en/activity/detail/circle-geometry-property-of-the-segments-of-two-chords-intersecting-within-a-circle

Extrema

Students will learn how to find and label extrema using first and second derivatives, be able to inspect a graph and determine which extrema the function has, and be able to use Trace, fMin, and fMax to verify the computed answers and find critical values for parametric functions.
https://education.ti.com/en/activity/detail/extrema

First Derivative Test

Visualize the connections between the first derivative of a function, critical points, and local extrema.
https://education.ti.com/en/activity/detail/first-derivative-test

Angle-Side Relationships

Investigate some necessary conditions for creating a triangle.
https://education.ti.com/en/activity/detail/angleside-relationships

Construction of the Lute of Pythagoras to investigate polynomials

The student will construct the Lute of Pythagoras and investigate the many geometric shapes created.
https://education.ti.com/en/activity/detail/construction-of-the-lute-of-pythagoras-to-investigate-polynomials

Corresponding Parts of Congruent Triangles

Explore corresponding parts of congruent triangles.
https://education.ti.com/en/activity/detail/corresponding-parts-of-congruent-triangles

Congruent Triangles

This activity is intended to provide students with an opportunity to discover three methods of proving triangles congruent: SSS, SAS, and ASA.
https://education.ti.com/en/activity/detail/congruent-triangles_2

Exterior Angle Sum Theorem

This activity illustrates the exterior angle sum theorem by taking regular polygons with an exterior angle constructed, one at each vertex, and pulling all the vertices together to show that all exterior angles form a circle.
https://education.ti.com/en/activity/detail/exterior-angle-sum-theorem

Exponential Functions and the Natural Logarithm

Discover a surprising property involving the relative growth rate of an exponential function.
https://education.ti.com/en/activity/detail/exponential-functions-and-the-natural-logarithm

Applications of Similar Figures

Students will identify corresponding parts of figures and use the definition of similar figures to solve real-world applications involving rectangles and triangles.
https://education.ti.com/en/activity/detail/applications-of-similar-figures

Angles in Polygons

In this activity, students measure interior angles in convex polygons and find the sum of the angle measures. They make and test a conjecture about the sum of the angle measures in an n-sided polygon. Finally, they measure exterior angles in convex polygons, find their sum, and write a proof for ...
https://education.ti.com/en/activity/detail/angles-in-polygons_1

Congruent or Not?

In this activity, students will investigate whether AAA, SAS, ASA, or SSA relationship guarantee that two triangles are congruent or not. This is an exploratory activity where students will need to know how to change between pages, grab and move points, and measure lengths.
https://education.ti.com/en/activity/detail/congruent-or-not_1

Arcs and Central Angles of Circles

Students discover the central angles of circles plus minor and major arcs.
https://education.ti.com/en/activity/detail/arcs-and-central-angles-of-circles

Congruent Triangles - Conditions that Prove Congruency

Students will investigate what conditions are necessary to prove two triangles are congruent.
https://education.ti.com/en/activity/detail/congruent-triangles--conditions-that-prove-congruency

Medians in a Triangle

Students will study medians and some of their properties. A median of a triangle connects a vertex of the triangle with the midpoint of the opposite side.
https://education.ti.com/en/activity/detail/medians-in-a-triangle

Area Formula Investigations

It's easy to just plug in the numbers without thinking, right? Even better, just use the calculator to find the area for you! Well, not today! Students will construct altitude and calculate the area of 5 geometric shapes using the measurement tools.
https://education.ti.com/en/activity/detail/area-formula-investigations

Midpoints in the Coordinate Plane

Beginning with horizontal or vertical segments, students will show the coordinates of the endpoints and make a conjecture about the coordinates of the midpoint.
https://education.ti.com/en/activity/detail/midpoints-in-the-coordinate-plane

Approximating Pi -- Archimedes method

Students will be assigned different regular polygons to construct. They will then construct a circumscribed circle, measure diameter, circumference and perimeter. The measurements will be placed into a spreadsheet and the ratios of circumference/diameter and perimeter/diameter will be calculated.
https://education.ti.com/en/activity/detail/approximating-pi--archimedes-method

Minimizing Surface Area of a Cylinder Given a Fixed Volume

Students will discover the relationship between radius and height of a cylinder so that surface area of a cylinder can be minimized while maintaining a fixed volume. This is just an introduction to a project that they will begin after this investigation. Once this is completed, they will redesig...
https://education.ti.com/en/activity/detail/minimizing-surface-area-of-a-cylinder-given-a-fixed-volume