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Properties of Isosceles Triangles

In this activity and by using the Nspire handhelds, students will discover the different properties and attributes of Isosceles Triangles. The students will take advantage of the dynamic capabilities of this very unique handheld to explore the different attributes of the Isosceles Triangle.
https://education.ti.com/en/activity/detail/properties-of-isosceles-triangles

Exploring Special Right Triangles

In this acvtivity, a 30-60-90 degree triangle is constructed for the student to explore. The student is asked to construct a 60 degree angle to give them an understanding of the construction. They will drag the vertex of the triangle and collect sample data. After they collect the data it is us...
https://education.ti.com/en/activity/detail/exploring-special-right-triangles

Properties of Parallelograms

In this activity, students will discover the properties of a parallelogram. Students will measure various components of a parallelogram to make conjectures about its properties.
https://education.ti.com/en/activity/detail/properties-of-parallelograms

Inverse Derivative

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

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

Balancing Act

Students will explore the centriod of a triangle. They will discover that it is the center of gravity. They will balance a cardboard triangle on the end of a pencil. Then they will construct the medians with folds and pencil. After students have seen that the center of gravity is the point ...
https://education.ti.com/en/activity/detail/balancing-act

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

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

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

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 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

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

A Sprinkler System Activity for the TI-Nspire TouchPad

This lesson involves the student in constructing and then creating their own designs using circles to indicate water spray from sprinklers set to full, half, and quarter circle patterns. The students learn to appreciate the ART of Math in the designs created with the Nspire TouchPad. The students...
https://education.ti.com/en/activity/detail/a-sprinkler-system-activity-for-the-tinspire-touchpad

Addition of Parts

This activity is a self-contained discussion of the topic of segment and angle addition and allows the teacher to focus on the flow of the class rather than explanation. Students will be able to work through this activity easily and reach usable conclusions on their own. Also, examples are prov...
https://education.ti.com/en/activity/detail/addition-of-parts

Making Hay While the Sun Shines & Not Losing It in the Rain (The Geometry of the Big Round Bale)

This activity explores the volume of the hay bale and the percent of loss as the radius of the bale decreases. The extension collects data from the constructed cylinder in a spreadsheet and graphs it. The graphs are modeled with quadratic functions and transformations of quadratic functions can...
https://education.ti.com/en/activity/detail/making-hay-while-the-sun-shines--not-losing-it-in-the-rain--the-geometry-of-the-big-round-bale

Maximizing a Paper Cone's Volume

The net for a conical paper cup is formed by cutting a sector from a circular piece of paper. What sector angle creates a net that maximizes the cone's volume? In this activity students will build concrete models, measure the dimensions and calculate the volume. Next, students will use a const...
https://education.ti.com/en/activity/detail/maximizing-a-paper-cones-volume

Angle and Perpendicular Bisectors in a Triangle

The students will examine where the perpendicular bisectors and angle bisectors of a triangle intersect. The students will circumscribe a circle around the triangle and will inscribe a circle within the triangle. There is a page at the end of each activity with the circle constructed if the s...
https://education.ti.com/en/activity/detail/angle-and-perpendicular-bisectors-in-a-triangle

Regular Polygons - Angle Measurements

Students will investigate the number of degrees in each polygon with three through ten sides, then develop a formula for the relationship between the number of sides and the sum of the measures of the degrees of the polygons.
https://education.ti.com/en/activity/detail/regular-polygons--angle-measurements

The Lunes of Hippocrates

In this activity the students discover a property of this historical figure.
https://education.ti.com/en/activity/detail/the-lunes-of-hippocrates

Tangents to a Circle

Explore properties of tangent lines and how they differ from secant lines.
https://education.ti.com/en/activity/detail/tangents-to-a-circle

Square Root Spiral and Function Graphs

In this activity, students will investigate the spiral formed by square roots of consecutive numbers, numerical approximations for square roots, the plot of the square root spiral arm lengths, and the graph of the square root function.
https://education.ti.com/en/activity/detail/square-root-spiral-and-function-graphs