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Properties of Parallelograms

Students will manipulate parallelograms to discover the relationships between the sides, angles, and diagonals of parallelograms.
https://education.ti.com/en/activity/detail/properties-of-parallelograms_7

Equations of Circles

This activity will enable the student to discover BOTH equations of a circle. The Nspire activity will show three different interactive circles: the first with only the radius able to be manipulated, the second with only the center and the third with both. While the student works with both the ...
https://education.ti.com/en/activity/detail/equations-of-circles

Exploring Cavalieri's Principle

Students will explore Cavalieri's Principle for cross sectional area and volume.
https://education.ti.com/en/activity/detail/exploring-cavalieris-principle_1

Properties of Quadrilaterals

The students will investigate the properties of a parallelogram, rhombus, rectangle, square, kite, trapezoid, and isosceles trapezoid by using the measurement tools of the TI-Npsire. The students will record their results on the chart. The time for the activity will vary based on the ability of...
https://education.ti.com/en/activity/detail/properties-of-quadrilaterals

Discovering the Triangle Inequality Theorem with the TI-Nspire

Students progress through a series of investigations regarding the lengths of the sides of a triangle. This activity, for discovering the Triangle Inequality Theorem, can be used as either a teacher demonstration or as a classroom activity.
https://education.ti.com/en/activity/detail/discovering-the-triangle-inequality-theorem-with-the-tinspire

Properties of Special Quadrilaterals Exploration

Students are given a TI-Nspire file with special quadrilaterals so that they can use the dynamic measurement capabilities of the TI-Nspire to explore which properties always hold true for each quadrilateral.
https://education.ti.com/en/activity/detail/properties-of-special-quadrilaterals-exploration

Properties of Trapezoids and Kites

Students investigate the properties of trapezoids, isosceles trapezoids, and kites by measuring sides and angles in the figures and by constructing and measuring the diagonals of the figures. By dragging vertices of each figure, they can make and test conjectures by seeing which properties hold t...
https://education.ti.com/en/activity/detail/properties-of-trapezoids-and-kites

Cyclic Quadrilaterals

Students will explore cyclic quadrilaterals and their properties.
https://education.ti.com/en/activity/detail/cyclic-quadrilaterals_2

Properties of Triangles

In this activity, students explore different types of triangles and find the interior and exterior angle sum to form a paragraph proof.
https://education.ti.com/en/activity/detail/properties-of-triangles

Integration By Substitution

Students explore methods for computing integrals of functions that are not in one of the standard forms.
https://education.ti.com/en/activity/detail/integration-by-substitution_1

Integration By Parts

Students investigate the product rule of differentiation and integration by parts.
https://education.ti.com/en/activity/detail/integration-by-parts_1

Diagonal Classification

This activity could be used as an assessment after a unit on special quadrilaterals. Students are given an unknown quadrilateral constructed with a given diagonal property. By dragging the vertices of the quadrilateral, students conjecture as to the names of the quadrilaterals that can be constru...
https://education.ti.com/en/activity/detail/diagonal-classification

Inflection Points

Students investigate points of inflection on a function and its first and second derivatives, and discover how they relate to each other.
https://education.ti.com/en/activity/detail/inflection-points

Dilations

This activity is designed to allow students to create an interactive document that allows them to alter the specifications of a dilation and visually and numerically see its effects.
https://education.ti.com/en/activity/detail/dilations

Infestation to Extermination

Students investigate exponential growth and decay through the situation of infestation and extermination.
https://education.ti.com/en/activity/detail/infestation-to-extermination_1

Implicit Differentiation

Students find the derivative of a relation, F(x,y), that is not solved for y.
https://education.ti.com/en/activity/detail/implicit-differentiation_4

Discovering the Circumcenter and Centroid of a Triangle

The students will find the circumcenter by constructing perpendicular bisectors of the sides of a triangle. They will also find the centroid by constructing the medians of a triangle and discover that the centroid is 2/3 of the distance from each vertex along each median.
https://education.ti.com/en/activity/detail/discovering-the-circumcenter-and-centroid-of-a-triangle

Exploring Circle Equations

Students explore the equation of a circle. They will make the connection with the coordinates of the center of the circle and length of the radius to the corresponding parts of the equation. Then, students apply what they have learned to find the equation of the circles in several circular designs.
https://education.ti.com/en/activity/detail/exploring-circle-equations_1

Points of Concurrency in Triangles

In this activity, students will use their Nspire handhelds to discover the different points of concurrencies in triangles. The students will take advantage of the dynamic capabilities to discover the circumcenter, incenter, and centroid of triangles.
https://education.ti.com/en/activity/detail/points-of-concurrency-in-triangles

Polygons & Angles: Looking for Patterns

This activity explores the relationships of various polygons and their angles. This is a discovery lesson and leads students through data and asks them to make conjectures about the angles of a triangle, quadrilateral, and pentagon. This lesson explores interior angles, exterior angles, and as...
https://education.ti.com/en/activity/detail/polygons--angles--looking-for-patterns

Limits

Students will investigate finding the value of limits using graphical and numerical methods. Students will also learn that a limit can exist at points where there is a hole or removable discontinuity. The concept of left and right-sided limits will also be explored as well as some situations in w...
https://education.ti.com/en/activity/detail/limits

Polygons - Diagonals

Students will investigate the number of diagonals in each polygon with three through ten sides, then develop a formula for the relationship between the number of sides and the number of diagonals of the polygons. Some prior familiarity with constructing segments and basic functions of the TI-Nsp...
https://education.ti.com/en/activity/detail/polygons--diagonals

Exploring the Black Box of Quadrilaterals

The exploration will begin with students dragging the quadrilateral given to them about the screen. Initially, they will be asked to simply identify the quadrilateral's type by sight. This will require simply a visual recognition of the quadrilaterals parallelogram, rectangle, square, rhombus, ...
https://education.ti.com/en/activity/detail/exploring-the-black-box-of-quadrilaterals

Possible Lengths of Sides of Triangles

The first problem in this activity has students explore the varying length of the third side of a triangle when 2 sides are given. They will discover that the length of the third side must be between the difference and the sum of the other 2 sides. The second problem extends this idea of the le...
https://education.ti.com/en/activity/detail/possible-lengths-of-sides-of-triangles

Proof by Counterexample of the SSA and AAA Cases

Students will use the geometry functions of the Nspire to create triangles with SSA and AAA details. Then these counterexamples are used to disprove possible SSA and AAA conjectures.
https://education.ti.com/en/activity/detail/proof-by-counterexample-of-the-ssa-and-aaa-cases