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Making Hay While the Sun Shines & Not Losing It in the Rain (The Geometry of the Big Round Bale)

This activity explores the volume of the hay bale and the percent of loss as the radius of the bale decreases. The extension collects data from the constructed cylinder in a spreadsheet and graphs it. The graphs are modeled with quadratic functions and transformations of quadratic functions can...
https://education.ti.com/en/activity/detail/making-hay-while-the-sun-shines--not-losing-it-in-the-rain--the-geometry-of-the-big-round-bale

Alternate Interior Angles

Explore the relationships of the angles formed when two parallel lines are cut by a transversal.
https://education.ti.com/en/activity/detail/alternate-interior-angles

Maximizing a Paper Cone's Volume

The net for a conical paper cup is formed by cutting a sector from a circular piece of paper. What sector angle creates a net that maximizes the cone's volume? In this activity students will build concrete models, measure the dimensions and calculate the volume. Next, students will use a const...
https://education.ti.com/en/activity/detail/maximizing-a-paper-cones-volume

Mystery Quadrilateral!

This activity could be used as an assessment after a unit on special quadrilaterals. Students are given an unknown mystery quadrilateral that looks like a square. By dragging the vertices of the mystery quadrilateral, students conjecture the true name of the quadrilateral. Students support their ...
https://education.ti.com/en/activity/detail/mystery-quadrilateral

Angle Relationships

In this activity, students explore the angle relationships that exist when two lines intersect. They begin by exploring vertical angles and linear pairs, and then expand their study to two lines and a transversal. They will see what relationships hold true when the two lines intersected by a tran...
https://education.ti.com/en/activity/detail/angle-relationships

Angles & Chords in a Circle

This activity is designed to allow students to gain an understanding of the relationship between the arcs and angles 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/angles--chords-in-a-circle

Nested Similar Triangles

Discover the conditions that make triangles similar by moving the sides opposite the common angle in nested triangles.
https://education.ti.com/en/activity/detail/nested-similar-triangles

Pythagorean Triples

Explore Pythagorean triples by dragging vertices to find whole number Pythagorean triples.
https://education.ti.com/en/activity/detail/pythagorean-triples

The Pirate Problem

The classic geometry problem developed in 1947 by George Gamow comes alive with the interactive platform of TI-Nspire. Will the treasure still be found after the palm tree in the treasure map disappears? What begins with inductive reasoning ends with a formal proof. This lesson, easily adapte...
https://education.ti.com/en/activity/detail/the-pirate-problem

Taxicab Geometry

In this activity, students begin a study of taxicab geometry by discovering the taxicab distance formula. They then use the definition of radius to draw a taxicab circle and make comparisons between a circle in Euclidean geometry and a circle in taxicab geometry. Lastly, they construct taxicab pe...
https://education.ti.com/en/activity/detail/taxicab-geometry

Secants and Angles in a Circle

This activity is designed to allow students to gain an understanding of the relationship between the arcs and angles formed by secants drawn from a common external point outside a circle. It includes an interactive geometry page, some circle problems, and a Euclidean proof.
https://education.ti.com/en/activity/detail/secants-and-angles-in-a-circle

Square Root Spiral and Function Graphs

In this activity, students will investigate the spiral formed by square roots of consecutive numbers, numerical approximations for square roots, the plot of the square root spiral arm lengths, and the graph of the square root function.
https://education.ti.com/en/activity/detail/square-root-spiral-and-function-graphs

Secants and Segments in a Circle

This activity is designed to allow students an opportunity to gain an understanding of the relationship among the segments formed by two secants drawn from a common external point to a circle. It includes an interactive geometry page, some circle problems, and a Euclidean proof.
https://education.ti.com/en/activity/detail/secants-and-segments-in-a-circle

Solving for Sides in a Right Triangle

This activity was designed for the Grade 11 College Math course in the Ontario curriculum. Students are expected to solve problems, including those that arise from real-world applications, by determining the measures of the sides and angles of right triangles using the primary trigonometric ratio...
https://education.ti.com/en/activity/detail/solving-for-sides-in-a-right-triangle

Special Angles formed by Parallel Lines

This activity will help students see the relationship among the angles formed by two parallel lines and the transversal cuts through the lines.
https://education.ti.com/en/activity/detail/special-angles-formed-by-parallel-lines

Quadratic Unit Activity #5: Scavenger Hunt #1

Students are to use whatever technology they have to take pictures or find images that are quadratic. The images are then put in a .tns file for them to find the equations. You may use my file by deleting the images and inserting your own. If you do not have the capability to do that, I have prov...
https://education.ti.com/en/activity/detail/quadratic-unit-activity-5-scavenger-hunt-1

Quadratic Unit Activity #6: Scavenger Hunt #2

Students are to use whatever technology they have to take pictures or find images that are quadratic. The images are then put in a .tns file for them to find the equations. You may use my file by deleting the images and inserting your own. If you do not have the capability to do that, I have prov...
https://education.ti.com/en/activity/detail/quadratic-unit-activity-6-scavenger-hunt-2

Finding the Minimal Path to Put Out a Fire

A camper (at position A) must quickly put out a campfire (at position B). The river is represented by the horizontal line segment CD passing through point P. Where should point P be positioned on the river so that the camper will travel the shortest (minimal) path from point A, to the river at po...
https://education.ti.com/en/activity/detail/finding-the-minimal-path-to-put-out-a-fire

Exploring Parabolas

Students will explore the parabola by investigating links between its standard equation form and its graph. Students will also discover the axis of symmetry and the vertex of a parabola.
https://education.ti.com/en/activity/detail/exploring-parabolas

Points & Lines & Slopes (Oh My!)

In this activity, students will use coordinates to better understand that relationship, as well as the relationship between coordinates of points and their quadrant locations, slopes and y-intercepts, and parallel and perpendicular lines.  
https://education.ti.com/en/activity/detail/points--lines--slopes-oh-my_ns_ib

Investigating Inscribed Angles

Investigation of the relationship between inscribed angles subtended by the same arc or chord.
https://education.ti.com/en/activity/detail/investigating-inscribed-angles

How to Find the Center of a Circle Determined by Three Non-Collinear Points

The activity demonstrates the geometric construction of the center of a circle determined by 3 non-collinear points using the TI-Nspire calculator. The activity along with the Problem 3 worksheet guides the novice user to perform the task using the TI-Nspire handheld. Several of the calculator t...
https://education.ti.com/en/activity/detail/how-to-find-the-center-of-a-circle-determined-by-three-noncollinear-points

Representing the Solution Process by Graphing

In this activity, students will explore the relationships in equations. Students will validate inquiries by graphing expressions from both sides of an equation. Students will rationalize the characteristics of graphing equations. At the Pre-Algebra level, this activity can be used to compare equ...
https://education.ti.com/en/activity/detail/representing-the-solution-process-by-graphing

Multiplying Inequalities by Negative Numbers

Investigate the effect of multiplying the numbers on a number line by a negative number.
https://education.ti.com/en/activity/detail/multiplying-inequalities-by-negative-numbers

Inscribed and Central Angles in a Circle

This activity explores the relationship between inscribed angles subtended by the same minor arc. The second problem explores the relationship between inscribed angles and central angles subtended by the same minor arc.
https://education.ti.com/en/activity/detail/inscribed-and-central-angles-in-a-circle