Secrets in the Triangle
Students will use the geometry screens of the TI-Nspire™ to find points of concurrency by constructing the altitudes, perpendicular bisectors, and medians in triangles. The Euler Line will be found and extensions given.https://education.ti.com/en/activity/detail/secrets-in-the-triangle
Tessellations
Students will explore tessellations of triangles and quadrilaterals. They will use the transformation tools of symmetry, reflections, rotations, and/or translations.https://education.ti.com/en/activity/detail/tessellations_1
Segment Addition Postulate
The purpose of this handout is to provide students an opportunity to learn the keystrokes involved using the TI-Nspire and to verify the Segment Addition Postulate.https://education.ti.com/en/activity/detail/segment-addition-postulate
Continuity and Differentiability of Functions
Students will manipulate piecewise functions to make them continuous. Once students create a continuous function, they will calculate derivatives to determine if the function is also differentiable.https://education.ti.com/en/activity/detail/continuity-and-differentiability-of-functions
Segments and Chords in a Circle
This activity is designed to allow students an opportunity to gain an understanding of the relationship among the segment measures 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/segments-and-chords-in-a-circle
The Radian Sector
In this activity, students will explore properties of sectors. Students will derive the formula for the arc length of a sector and the area of a sector.https://education.ti.com/en/activity/detail/the-radian-sector
The Sprinkler and the Lawn
Students will apply the concepts of angle bisector, incenter of a triangle, and percentages to solve a real-world problem involving a circular sprinkler and a triangular-shaped lawn.https://education.ti.com/en/activity/detail/the-sprinkler-and-the-lawn
Shortest Distance
Students will discover, through exploration, that the shortest distance from a point on a line to the origin is a measure of a perpendicular line segment. You will investigate this minimization problem and support the analytical explanations with interactive explorations.https://education.ti.com/en/activity/detail/shortest-distance
Concavity
Examine the relationship between the first and second derivative and shape of a function.https://education.ti.com/en/activity/detail/concavity
Similar Figures
Observe what happens to ratios of pairs of side of rectangles and triangles.https://education.ti.com/en/activity/detail/similar-figures
Secant Angle Investigation
This activity will allow students to discover the relationship between the secant angle and the corresponding central angles.https://education.ti.com/en/activity/detail/secant-angle-investigation
Putting limits on Pi
This activity has the students calculate the perimeter of inscribed and circumscribed regular polygons about a circle and then use the calculated values to determine pi.https://education.ti.com/en/activity/detail/putting-limits-on-pi
Proving Angles Congruent
In this activity students will be introduced to proofs, including 2-column proofs, paragraph proofs and flow-proofs. They will also look at different diagrams to decide what the diagram is telling them and what they can infere. They will also look at complementary, supplementary, adjacent and v...https://education.ti.com/en/activity/detail/proving-angles-congruent_1
Derivative Grapher
Visualize the relationship between the graph of a function and the graph of its derivative function.https://education.ti.com/en/activity/detail/derivative-grapher
Triangle Midsegments
Investigate the relationships between a triangle and the similar triangle formed by one of the triangle's midsegments.https://education.ti.com/en/activity/detail/triangle-midsegments
Derivative Function
Transition from thinking of the derivative at a point to thinking of the derivative as a function.https://education.ti.com/en/activity/detail/derivative-function
Transformers
Students explore a special subset of the transformations of a square called the symmetry group.https://education.ti.com/en/activity/detail/transformers
Definite Integral
Make visual connections between the definite integral of a function and the signed area between the function and the x-axis.https://education.ti.com/en/activity/detail/definite-integral
The Tale of Two Tangents
This activity allows students to investigate the relationship between the angle formed by two tangents to a circle and the arcs they intercept.https://education.ti.com/en/activity/detail/the-tale-of-two-tangents
Derivatives of Trigonometric Functions
Students will use the graph of the sine function to estimate the graph of the cosine function. They will do this by inspecting the slope of a tangent to the graph of the sine function at several points and using this information to construct a scatter plot for the derivative of the sine. Students...https://education.ti.com/en/activity/detail/derivatives-of-trigonometric-functions
Average Value
Examine areas as integrals and as rectangles for given functions.https://education.ti.com/en/activity/detail/average-value
A Tale of Two Lines
Demonstrate a visual justification for l'Hôpital's Rule.https://education.ti.com/en/activity/detail/a-tale-of-two-lines
Transformational Puppet
This activity allows students to practice their skills of reflecting on a line and translating on a vector. The instructions don't ask for creativity but students who finish early can enjoy being creative with this activity.https://education.ti.com/en/activity/detail/transformational-puppet
Transformations: Reflections and Rotations
This activity is designed to be used in a middle-school or high-school geometry classroom. An understanding of labeling points in the coordinate plane is necessary. This is an exploration using reflections to move a polygon about the coordinate plane.https://education.ti.com/en/activity/detail/transformations--reflections-and-rotations
Transformations: Rotations
Explore clockwise and counterclockwise rotations to discover the properties of the pre-image and image of a triangle.https://education.ti.com/en/activity/detail/transformations-rotations