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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

Angle Relationships

In this activity, students explore the angle relationships that exist when two lines intersect. They begin by exploring vertical angles and linear pairs, and then expand their study to two lines and a transversal. They will see what relationships hold true when the two lines intersected by a tran...
https://education.ti.com/en/activity/detail/angle-relationships

Angles & Chords in a Circle

This activity is designed to allow students to gain an understanding of the relationship between the arcs and angles 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/angles--chords-in-a-circle

Angles and Similarity

Experiment with the measures of the angles of similar triangles to determine conditions necessary for two triangles to be similar.
https://education.ti.com/en/activity/detail/angles-and-similarity

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

Scale Factor Area Perimeter

Explore the relationship of perimeter and area in similar triangles when the scale factor is changed.
https://education.ti.com/en/activity/detail/scale-factor-area-perimeter

The Geometric Mean

In this activity, students will establish that several triangles are similar and then determine that the altitude to the hypotenuse of a right triangle is the geometric mean between the segments into which it divides the hypotenuse.
https://education.ti.com/en/activity/detail/the-geometric-mean_1

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

Pythagorean Triples

Explore Pythagorean triples by dragging vertices to find whole number Pythagorean triples.
https://education.ti.com/en/activity/detail/pythagorean-triples

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

The Pythagorean Theorem—and More

Students construct a triangle and find all angle and side measures. They practice dragging the vertices to form certain types of triangles, and then they confirm the Pythagorean Theorem for right triangles. Moreover, they discover the types of triangle that occur when c2 a2 + b2 or when c2 > a2 +...
https://education.ti.com/en/activity/detail/the-pythagorean-theoremand-more

Ratios of Similar Figures

Students explore the ratio of perimeter, area, surface area, and volume of similar figures in two and three dimensional figures.
https://education.ti.com/en/activity/detail/ratios-of-similar-figures_1

The Lunes of Hippocrates

In this activity, students will explore a figure that involves lunes - the area enclosed between arcs of intersecting circles. When lunes are constructed on the sides of a right triangle, an interesting result occurs.
https://education.ti.com/en/activity/detail/the-lunes-of-hippocrates_1

Supplements and Complements

The attached files contain a supplementary angle and complementary angle for students to explore. They are asked which point changes the measure of the angle. They can move various parts of the construction. The files are designed to be used with your current instructional materials.
https://education.ti.com/en/activity/detail/supplements-and-complements

Taxicab Geometry

In this activity, students begin a study of taxicab geometry by discovering the taxicab distance formula. They then use the definition of radius to draw a taxicab circle and make comparisons between a circle in Euclidean geometry and a circle in taxicab geometry. Lastly, they construct taxicab pe...
https://education.ti.com/en/activity/detail/taxicab-geometry

Secants and Angles in a Circle

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

SSA Ambiguity

This activity allows students to investigate the reason for the ambiguity in the SSA case.
https://education.ti.com/en/activity/detail/ssa-ambiguity

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

Secants, Tangents, And Angle Measures

This activity is intended to be used as an interactive tool to help students learn about the relationships between the the angles and arcs formed with intersecting secant and tangent lines.
https://education.ti.com/en/activity/detail/secants-tangents-and-angle-measures

Soap Warehouse: The Shortest Distance Between Stores

In this investigation we are going to determine the best place to build a warehouse so that it can service three stores with the least amount of travel.
https://education.ti.com/en/activity/detail/soap-warehouse-the-shortest-distance-between-stores

Solving for Sides in a Right Triangle

This activity was designed for the Grade 11 College Math course in the Ontario curriculum. Students are expected to solve problems, including those that arise from real-world applications, by determining the measures of the sides and angles of right triangles using the primary trigonometric ratio...
https://education.ti.com/en/activity/detail/solving-for-sides-in-a-right-triangle

Special Segments in Triangles

In this activity, students construct medians, altitudes, angle bisectors, and perpendicular bisectors of triangles. They then drag the vertices to see where the intersections of the segments lie in relation to the triangle, and they measure distances to identify relationships. They see that the i...
https://education.ti.com/en/activity/detail/special-segments-in-triangles_1

Balancing Equations

This lesson involves understanding what it means for an equation to be balanced in the process of solving linear equations with one variable.
https://education.ti.com/en/activity/detail/balancing-equations

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