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
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
Triangle Sides & Angles
Students will explore side and angle relationships in a triangle. First, students will discover where the longest (and shortest) side is located relative to the largest (and smallest) angle. Then, students will explore the Isosceles Triangle Theorem and its converse. Finally, students will determ...https://education.ti.com/en/activity/detail/triangle-sides--angles
The Flag Problem
Students explore the area of a triangle with the base being one of the legs of a right angled trapezoid, and an opposite vertex being a point on the other leg of the trapezoid.https://education.ti.com/en/activity/detail/the-flag-problem
Scale Factor Area Perimeter
Explore the relationship of perimeter and area in similar triangles when the scale factor is changed.https://education.ti.com/en/activity/detail/scale-factor-area-perimeter
The Hinge Theorems
Students will explore the inequality relationships that arise when some of the triangle congruence conditions are in place but others are not. The SAS Inequality Theorem and the SSS Inequality Theorem are often referred to as the Hinge Theorem and its converse. These two theorems concern inequali...https://education.ti.com/en/activity/detail/the-hinge-theorems_1
The Pythagorean Theorem—and More
Students construct a triangle and find all angle and side measures. They practice dragging the vertices to form certain types of triangles, and then they confirm the Pythagorean Theorem for right triangles. Moreover, they discover the types of triangle that occur when c2 a2 + b2 or when c2 > a2 +...https://education.ti.com/en/activity/detail/the-pythagorean-theoremand-more
The Lunes of Hippocrates
In this activity, students will explore a figure that involves lunes - the area enclosed between arcs of intersecting circles. When lunes are constructed on the sides of a right triangle, an interesting result occurs.https://education.ti.com/en/activity/detail/the-lunes-of-hippocrates_1
Reflections in Motion
Students will use reflected images of triangles to observe similarities retained under vertical and horizontal stretching and shrinking transformations.https://education.ti.com/en/activity/detail/reflections-in-motion
Supplements and Complements
The attached files contain a supplementary angle and complementary angle for students to explore. They are asked which point changes the measure of the angle. They can move various parts of the construction. The files are designed to be used with your current instructional materials.https://education.ti.com/en/activity/detail/supplements-and-complements
Sine. It's the Law.
Students will investigate the ratio of the sine of an angle to the length of the opposite side.https://education.ti.com/en/activity/detail/sine--its-the-law_1
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
Rhombi, Kites, and Trapezoids
Students discover properties of the diagonals of rhombi and kites, and the properties of angles in rhombi, kites, and trapezoids.https://education.ti.com/en/activity/detail/rhombi-kites-and-trapezoids_1
Supertall Skyscrapers
In this activity, students use their handhelds to measure scale drawings of famous “supertall” skyscrapers. They first check that the Sears Tower is drawn to scale and then use their measurements to calculate that scale. Next, they write and solve proportions to find the heights of other skyscrap...https://education.ti.com/en/activity/detail/supertall-skyscrapers
Quadratic Unit Activity #3: What's My Quad Equation 2
This is the third activity in the Quadratic Unit. Students are to find the equation for each graph. All equations are in vertex form.https://education.ti.com/en/activity/detail/quadratic-unit-activity-3-whats-my-quad-equation-2
Hanging with the Incenter
In this activity, students will explore the angle bisector of the angles of a triangle. Students will discover that the angle bisectors are concurrent. The point of concurrency is the incenter. Students should discover the relationship between the type of triangle and the location of the point of...https://education.ti.com/en/activity/detail/hanging-with-the-incenter
Equivalent or Not Equivalent?
Introduce the idea of equivalent expressions in the context of three critical operations.https://education.ti.com/en/activity/detail/equivalent-or-not-equivalent
Fixed Perimeter Rectangles
Investigate side length and area in a rectangle with fixed perimeter.https://education.ti.com/en/activity/detail/fixed-perimeter-rectangles
Dinner Party
Students investigate the total cost of a private party at three restaurants and then model the cost of a party at each restaurant with the graph of a linear function.https://education.ti.com/en/activity/detail/dinner-party_1
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
Investigating Properties of Quadrilaterals Using the TI-Nspire Navigator
Why spend time listing properties/theorems on the board when your students can be actively engaged in the discovery of such properties. This activity will make use of the TI-Nspire and the TI-Nspire Navigator to exchange files with the students handhelds. The Class Analysis feature of the TI-Ns...https://education.ti.com/en/activity/detail/investigating-properties-of-quadrilaterals-using-the-tinspire-navigator
Investigating the Angles of a Triangle
The following will find the sum of the interior angles of a triangle and the sum of the remote interior angles of a triangle. Students can then change the type of triangle. The student will see that the sum of the interior angles is always 180 degrees. Also, the student will see that the sum of t...https://education.ti.com/en/activity/detail/investigating-the-angles-of-a-triangle
Investigating Triangles and Congruence
The main purpose for this activity is to explore triangles with pairs of corresponding congruent sides and a congruent nonincluded angle.https://education.ti.com/en/activity/detail/investigating-triangles-and-congruence
Perpendicular Slopes
Students investigate the 'negative reciprocal' relationship between the slopes of perpendicular lines. The final phase of the activity is appropriate for more advanced students as they are led through an algebraic proof of the relationship. Optional geometric activities (problems 5 and 6 of the ....https://education.ti.com/en/activity/detail/perpendicular-slopes
Area "FOILed" Again!
Students practice finding rectangular areas with algebraic expressions for the lengths of the sides.https://education.ti.com/en/activity/detail/area-foiled-again_1