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
Continuity and Differentiability 2
Explore piecewise graphs and determine conditions for continuity and differentiability.https://education.ti.com/en/activity/detail/continuity-and-differentiability-2
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
Concavity
Examine the relationship between the first and second derivative and shape of a function.https://education.ti.com/en/activity/detail/concavity
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
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
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
Transformations: Reflections
Explore what a reflection does to an object.https://education.ti.com/en/activity/detail/transformations-reflections
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
"Picking" Your Way Through Area Problems
Students will discover Pick's Theorem by finding the relationship between area and the number of boundary points and interior points of a lattice polygon.https://education.ti.com/en/activity/detail/picking-your-way-through-area-problems
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
Cyclic Quadrilaterals
Explore the relationship between chords of a circle and their perpendicular bisectors.https://education.ti.com/en/activity/detail/cyclic-quadrilaterals
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
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
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
Points, Lines, and Distance
Investigate the distance between two points, a point and a line, and two lines.https://education.ti.com/en/activity/detail/points-lines-and-distance
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