Education Technology
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Addition of Parts

This activity is a self-contained discussion of the topic of segment and angle addition and allows the teacher to focus on the flow of the class rather than explanation. Students will be able to work through this activity easily and reach usable conclusions on their own. Also, examples are prov...
https://education.ti.com/en/activity/detail/addition-of-parts

The Geometric Mean

In this activity, students will establish that several triangles are similar and then determine that the altitude to the hypotenuse of a right triangle is the geometric mean between the segments into which it divides the hypotenuse.
https://education.ti.com/en/activity/detail/the-geometric-mean_1

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

Special Segments in Triangles

In this activity, students construct medians, altitudes, angle bisectors, and perpendicular bisectors of triangles. They then drag the vertices to see where the intersections of the segments lie in relation to the triangle, and they measure distances to identify relationships. They see that the i...
https://education.ti.com/en/activity/detail/special-segments-in-triangles_1

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

Intersecting Lines and Segment Measures

Explore the relationship between intersecting lines and the measures of various segments on those lines.
https://education.ti.com/en/activity/detail/intersecting-lines-and-segment-measures

Measuring Segments and Angles

Students will explore the Angle Addition Postulate and the Segment Addition Postulate.
https://education.ti.com/en/activity/detail/measuring-segments-and-angles

Solving Systems of Linear Equations with Row Reductions to Echelon Form on Augmented Matrices

This activity shows the user how to interpret a system of linear equations as an augmented matrix, row reduce the matrix to echelon form, and interpret the output to give a unique solution, generate infinite solutions, or conclude no solutions exist. The activity also shows how to check unique so...
https://education.ti.com/en/activity/detail/solving-systems-of-linear-equations-with-row-reductions-to-echelon-form-on-augmented-matrices

Difference Between Two Proportions

Students use confidence intervals to estimate the difference of two population proportions. First they find the intervals by calculating the critical value and the margin of error. Then, they use the 2-propZInterval command. Students find confidence intervals for differences in proportions in rea...
https://education.ti.com/en/activity/detail/difference-between-two-proportions_1

Solving Systems with Row Operations 1

Use row operations to reduce an augmented matrix to its reduced row-echelon form.
https://education.ti.com/en/activity/detail/solving-systems-with-row-operations-1

Equations of Parabolas

Students draw and measure lines and segments to discover properties of parabolas, specifically that the distance from any point on the parabola is equidistant to the focus and the directrix. They work with parabolas whose vertex is on the origin as well as off the origin and they also with parabo...
https://education.ti.com/en/activity/detail/equations-of-parabolas

Altitude to the Hypotenuse

Explore the relationship between the length of the altitude to the hypotenuse in a right triangle and the lengths of the two segments formed when this altitude intersects the hypotenuse.
https://education.ti.com/en/activity/detail/altitude-to-the-hypotenuse

Special Segments in Triangles

Create four special segments from a given vertex in a triangle and identify relationships among the special segments and the angles they form.
https://education.ti.com/en/activity/detail/special-segments-in-triangles

Properties of Special Quadrilaterals

Explore properties of some special quadrilaterals using segments to build quadrilaterals and explore their angles.
https://education.ti.com/en/activity/detail/properties-of-special-quadrilaterals

Special Segments in Triangles

Students will construct and explore medians, altitudes, angle bisectors, and perpendicular bisectors of triangles. They then drag the vertices to see where the intersections of the segments lie in relation to the triangle, and they measure distances to identify relationships.
https://education.ti.com/en/activity/detail/special-segments-in-triangles_2

Midsegments of Triangles

Students explore the properties of the midsegment, a segment that connects the midpoints of two sides of a triangle.
https://education.ti.com/en/activity/detail/midsegments-of-triangles

Midpoints in the Coordinate Plane

Beginning with horizontal or vertical segments, students show the coordinates of the endpoints and make a conjecture about the coordinates of the midpoint.
https://education.ti.com/en/activity/detail/midpoints-in-the-coordinate-plane_1

Distances in the Coordinate Plane

Students will explore distances in the coordinate plane. After finding the coordinates of a segment’s endpoints, students will substitute these values into the distance formula and compare the results to the measured length of the segment. Then students will find the distance between the endpoint...
https://education.ti.com/en/activity/detail/distances-in-the-coordinate-plane_1

Perpendicular Bisector of a Line Segment

Students learn to draw a segment and its perpendicular bisector. They understand right angles and congruent segments. Students observe that changing the length or orientation of the segment changes the perpendicular bisector. NCTM Geometry Standard covered: Analyze characteristics and properties ...
https://education.ti.com/en/activity/detail/perpendicular-bisector-of-a-line-segment

Perpendicular Bisector Theorem

This activity uses distance measures to investigate the relationship between a point in the plane and the distance to the endpoints of a segment. Students will investigate the implication these relationships have for the position of the point in the plane.
https://education.ti.com/en/activity/detail/perpendicular-bisector-theorem

Perpendicular Segments in a Circle

Students learn about chords of a circle. They draw a line perpendicular to the chord and passing through the center of the circle. They explore the lengths of the two segments of the chord. They investigate with a different chord and with different sized circles. NCTM Geometry Standard covered: A...
https://education.ti.com/en/activity/detail/perpendicular-segments-in-a-circle

Properties of Reflections

I use this activity in the beginning of the school year when introducing terminology such as angles, lines, segments, measures, perpendicular etc. The original material is from the SIMMS Integrated Mathematics Using Technology, I have adapted the activities to fit my objectives. Students have be...
https://education.ti.com/en/activity/detail/properties-of-reflections

Points on a Perpendicular Bisector

Students will explore the relationship between a line segment and its perpendicular bisector. Once the concept of a point that is equidistant from two points is illustrated, extensions including isosceles triangles, kites, and chords in a circle may be explored.
https://education.ti.com/en/activity/detail/points-on-a-perpendicular-bisector_1

Points on the Perpendicular Bisector of a Segment

In this activity, students use the drawing and measurement tools of Cabri™ Jr., to learn and understand the concept of "equidistant from the endpoints of a segment." They observe the changes if they move a point on the perpendicular bisector. NCTM Geometry Standard covered: Analyze characteristic...
https://education.ti.com/en/activity/detail/points-on-the-perpendicular-bisector-of-a-segment

Altitude, Median, and Angle Bisector of a Triangle

In this activity, you will construct special segments of a triangle named altitudes, medians, and angle bisectors, using their definitions. You will look at how an altitude, a median, and an angle bisector divide the area of a triangle.
https://education.ti.com/en/activity/detail/altitude-median-and-angle-bisector-of-a-triangle