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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

Exploring the Geometric Means of a Right Triangle - When the Altitude to the Hypotenuse Is Drawn

Students will explore the concept of geometric mean and solve right triangle problems using geometric mean proportions. A TI-Nspire activity demonstrates interactively the geometric mean relationship, and an activity sheet applies the relationship to solve triangle problem. Most discussions of g...
https://education.ti.com/en/activity/detail/exploring-the-geometric-means-of-a-right-triangle--when-the-altitude-to-the-hypotenuse-is-drawn

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

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

Area of a Triangle Between Parallel Lines

This is an investigation of what happens to the area of a triangle when one vertex moves along a line parallel to the side opposite the vertex.
https://education.ti.com/en/activity/detail/area-of-a-triangle-between-parallel-lines

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

Classifying Quadrialterals

In this activity, students will classify quadrilaterals graphed on the Cartesian coordinate plane. Students will justify their classifications with segment and angle measurements as well as slope measurements. A review of the hierarchy of quadrilaterals is at the beginning of the document.
https://education.ti.com/en/activity/detail/classifying-quadrialterals

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

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

Mystery Quadrilateral!

This activity could be used as an assessment after a unit on special quadrilaterals. Students are given an unknown mystery quadrilateral that looks like a square. By dragging the vertices of the mystery quadrilateral, students conjecture the true name of the quadrilateral. Students support their ...
https://education.ti.com/en/activity/detail/mystery-quadrilateral

Nested Similar Triangles

Discover the conditions that make triangles similar by moving the sides opposite the common angle in nested triangles.
https://education.ti.com/en/activity/detail/nested-similar-triangles

The Flag Problem

Students explore the area of a triangle with the base being one of the legs of a right angled trapezoid, and an opposite vertex being a point on the other leg of the trapezoid.
https://education.ti.com/en/activity/detail/the-flag-problem

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 Ladder Problem Revisited

In this activity students explore the locus of mid-point of the hypotenuse of a fixed length geometrically and algebraically and discover that the median a right triangle is equal to half the length of the hypotenuse. Students then prove this property. The problem: A ladder leans upright against ...
https://education.ti.com/en/activity/detail/the-ladder-problem-revisited

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

The Pirate Problem

The classic geometry problem developed in 1947 by George Gamow comes alive with the interactive platform of TI-Nspire. Will the treasure still be found after the palm tree in the treasure map disappears? What begins with inductive reasoning ends with a formal proof. This lesson, easily adapte...
https://education.ti.com/en/activity/detail/the-pirate-problem

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

Sine. It's the Law.

Students will investigate the ratio of the sine of an angle to the length of the opposite side.
https://education.ti.com/en/activity/detail/sine--its-the-law_1

Secants and Segments in a Circle

This activity is designed to allow students an opportunity to gain an understanding of the relationship among the segments formed by two secants drawn from a common external point to a circle. It includes an interactive geometry page, some circle problems, and a Euclidean proof.
https://education.ti.com/en/activity/detail/secants-and-segments-in-a-circle

Rhombi, Kites, and Trapezoids

Students discover properties of the diagonals of rhombi and kites, and the properties of angles in rhombi, kites, and trapezoids.
https://education.ti.com/en/activity/detail/rhombi-kites-and-trapezoids_1

Interrogating Data by Random Sampling

This lesson involves using random sampling to make predictions about a population.
https://education.ti.com/en/activity/detail/interrogating-data-by-random-sampling

Linear Modeling

This lesson involves modeling relationship between variables related to the operational cost of airplanes.
https://education.ti.com/en/activity/detail/linear-modeling

Linear Equations, How Can I Tell?

This is a lesson to be used when introducing linear equations. The class is to determine parallel slopes, slope of the line, and slope- intercept form while investigating the graphs.
https://education.ti.com/en/activity/detail/linear-equations-how-can-i-tell