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
Determining Angle Measure
Determine the measure of an angle and if larger angles have longer "sides."https://education.ti.com/en/activity/detail/determining-angle-measure
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
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
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
Positive and Negative Angles and Arcs
Investigate the relationships among the angles of intersection of the two lines and the intercepted arcs using positive and negative angle and arc measures.https://education.ti.com/en/activity/detail/positive-and-negative-angles-and-arcs
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
Exploring the Equation of a Circle
Explore right triangles and the Pythagorean Theorem to develop the equation of a circle.https://education.ti.com/en/activity/detail/exploring-the-equation-of-a-circle
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
Exploring the Formula for Area of a Triangle: How was it Derived?
This activity is designed to be paperless. The entire lesson is written to be placed in the Nspire. Students will explore how the formula for area of a triangle works and why it works, they will also explore altitudes and medians of triangles.https://education.ti.com/en/activity/detail/exploring-the-formula-for-area-of-a-triangle-how-was-it-derived
Properties of Parallel Lines
This activity is designed to incorporate the TI-Nspire Navigator system to provide a paperless activity. Students will investigate the relationships formed when two parallel lines are cut by a transversal. They will make observations from angle measurements. This is a great activity for beginn...https://education.ti.com/en/activity/detail/properties-of-parallel-lines
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
Exploring Parallel Lines and Angles
Students will explore the relationships between pairs of angles formed when two parallel lines are cut by a transversal. They will identify special pairs of angles, measure all the angles formed by two parallel lines cut by a transversal, and then look for patterns among the measures.https://education.ti.com/en/activity/detail/exploring-parallel-lines-and-angles
Can I Make a Triangle?
This TI-Nspire activity is for the Triangle Inequality Theorem. There are 3 problems that contain 3 segments each. The student tries to make triangles with these segments. They compare the lengths of the shortest to the length of the longest to see if the inequality is true or false. For the...https://education.ti.com/en/activity/detail/can-i-make-a-triangle
Circle Geometry: Angles Formed by Intersecting Chords
This activity is intended to teach students about the rule associated with the angles formed by two chords intersecting within the circle and the intercepted arcs.https://education.ti.com/en/activity/detail/circle-geometry-angles-formed-by-intersecting-chords