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
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
The sum of the interior angles of regular polygons
The students will construct triangles within regular-sided polygons to determine the sum of the interior angles. They will then, using statistics, create a linear regression to determine the relationship between the number of sides of a regular polygon and the sum of its interior angles.https://education.ti.com/en/activity/detail/the-sum-of-the-interior-angles-of-regular-polygons
Side Length, Perimeter, and Area of a Rectangle
Explore the effects of changing base (or height) of a rectangle on it's perimeter and area.https://education.ti.com/en/activity/detail/side-length-perimeter-and-area-of-a-rectangle
Side-Side-Angle: The Ambiguous Case
Experiment with segment lengths and angle measures.https://education.ti.com/en/activity/detail/sidesideangle-the-ambiguous-case
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
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
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
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: Reflections
Explore what a reflection does to an object.https://education.ti.com/en/activity/detail/transformations-reflections
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
Elevator: Height and Velocity
Introduce ideas related to rectilinear motion.https://education.ti.com/en/activity/detail/elevator-height-and-velocity
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_1
Transformations: Translations
Investigate what a triangle will look like when it is translated horizontally or vertically.https://education.ti.com/en/activity/detail/transformations-translations
Area Function Problems
Understand the relationship between the area under a derivative curve and the antiderivative function.https://education.ti.com/en/activity/detail/area-function-problems
Perspective Drawings
In this activity, students will draw figures in one- and two-point perspective, comparing and contrasting the two types of drawings. They then create an isometric drawing and compare it to the other drawings.https://education.ti.com/en/activity/detail/perspective-drawings
Dog Run
This activity allows students to investigate the maximum area of a rectangle with a fixed perimeter.https://education.ti.com/en/activity/detail/dog-run
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
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