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Ratios of Right Triangles

In this activity, students will explore the ratios of right triangles. Students will discover that they can find the measure of the angles of a right triangle given the length of any two sides.
https://education.ti.com/en/activity/detail/ratios-of-right-triangles_1

Exploring Circle Equations

Students explore the equation of a circle by connecting the coordinates of the center of the circle and the length of the radius to the corresponding parts of the equation.
https://education.ti.com/en/activity/detail/exploring-circle-equations

Forensics Case 5 - The Ink Is Still Wet: Using colorimetry to identify an unknown ink

In this activity, students identify the ink of a ransom note to match suspects. They identify an unknown ink by its light absorbance characteristics. The experiment set up used is to measure a solutions absorbance of different colors (wavelengths) of light.
https://education.ti.com/en/activity/detail/forensics-case-5--the-ink-is-still-wet-using-colorimetry-to-identify-an-unknown-ink

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

Side-Side-Angle: The Ambiguous Case

Experiment with segment lengths and angle measures.
https://education.ti.com/en/activity/detail/sidesideangle-the-ambiguous-case

Paths of Rectangles

This exploration for preservice teachers, looks at how the lengths of the sides of rectangles with equal areas are related. The rectangles are constructed so that one vertex is at the origin. The path of the opposite vertex is an example of indirect variation and demonstrates a connection between...
https://education.ti.com/en/activity/detail/paths-of-rectangles

Perpendicular Bisector

In this activity, students will explore the perpendicular bisector theorem and discover that if a point is on the perpendicular bisector of a segment, then the point is equidistant from the endpoints. This is an introductory activity, where students will need to know how to change between pages, ...
https://education.ti.com/en/activity/detail/perpendicular-bisector_1

3D Parametric

In this activity, students will review the concepts of parametric and polar equations. By using the 3D graphing capabilities of the TI-Nspire handheld, students will be able to extend these ideas to the area of solids of revolution, arc length and kinematics.
https://education.ti.com/en/activity/detail/3d-parametric

Discovering the Triangle Inequality Theorem with the TI-Nspire

Students progress through a series of investigations regarding the lengths of the sides of a triangle. This activity, for discovering the Triangle Inequality Theorem, can be used as either a teacher demonstration or as a classroom activity.
https://education.ti.com/en/activity/detail/discovering-the-triangle-inequality-theorem-with-the-tinspire

Diameter and Circumference Relationship

A short activity that helps to demonstrate the relationship between diameter and circumference.
https://education.ti.com/en/activity/detail/diameter-and-circumference-relationship

Exploring Diameter and Circumference

Explore the relationship between the diameter and circumference of a circle.
https://education.ti.com/en/activity/detail/exploring-diameter-and-circumference

Possible Lengths of Sides of Triangles

The first problem in this activity has students explore the varying length of the third side of a triangle when 2 sides are given. They will discover that the length of the third side must be between the difference and the sum of the other 2 sides. The second problem extends this idea of the le...
https://education.ti.com/en/activity/detail/possible-lengths-of-sides-of-triangles

Can I Make a Triangle?

This TI-Nspire activity is for the Triangle Inequality Theorem. There are 3 problems that contain 3 segments each. The student tries to make triangles with these segments. They compare the lengths of the shortest to the length of the longest to see if the inequality is true or false. For the...
https://education.ti.com/en/activity/detail/can-i-make-a-triangle

Cell Phone Towers

In this activity students explore the locus of a point that is located twice as far from a given point A as it is from given point B. The locus is Apollonius circle. Students discover that the locus is a circle and then prove it. The key property: If a ray bisects an angle of a triangle, then it ...
https://education.ti.com/en/activity/detail/cell-phone-towers

Balancing Act

Students will explore the centriod of a triangle. They will discover that it is the center of gravity. They will balance a cardboard triangle on the end of a pencil. Then they will construct the medians with folds and pencil. After students have seen that the center of gravity is the point ...
https://education.ti.com/en/activity/detail/balancing-act

Arc Length and Sectors

Investigate the mathematics of arc length and sectors.
https://education.ti.com/en/activity/detail/arc-length-and-sectors

Congruent or Not?

In this activity, students will investigate whether AAA, SAS, ASA, or SSA relationship guarantee that two triangles are congruent or not. This is an exploratory activity where students will need to know how to change between pages, grab and move points, and measure lengths.
https://education.ti.com/en/activity/detail/congruent-or-not_1

The Ladder Problem Revisited

In this activity students explore the locus of mid-point of the hypotenuse of a fixed length geometrically and algebraically and discover that the median a right triangle is equal to half the length of the hypotenuse. Students then prove this property. The problem: A ladder leans upright against ...
https://education.ti.com/en/activity/detail/the-ladder-problem-revisited

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

Lines of Fit

This lesson involves informally fitting a straight line for a given data set that represents mean verbal and mathematics scores on SAT in 2004 across all 50 states and Washington, D.C.
https://education.ti.com/en/activity/detail/lines-of-fit

Fixed Perimeter Rectangles

Investigate side length and area in a rectangle with fixed perimeter.
https://education.ti.com/en/activity/detail/fixed-perimeter-rectangles

Ratios of Similar Triangles

In this activity, students will explore two ways of comparing side lengths of similar triangles. They will calculate ratios and change the triangles to see how the ratio changes. Then they will write proportions using the ratios.
https://education.ti.com/en/activity/detail/ratios-of-similar-triangles_1