Exploring the Centroid of a Triangle
In this activity, students investigate what happens when all three medians of a triangle are drawn. They learn how to locate the centroid. NCTM Geometry Standard covered: Analyze characteristics and properties of 2- and 3-dimensional geometric shapes and develop mathematical arguments about geome...https://education.ti.com/en/activity/detail/exploring-the-centroid-of-a-triangle
Exploring the Circumcenter of a Triangle
In this activity, students develop an understanding of the circumcenter of a triangle. Students construct perpendicular bisectors of three sides of a triangle and find the circumcenter. NCTM Geometry Standard covered: Analyze characteristics and properties of 2- and 3-dimensional geometric shape...https://education.ti.com/en/activity/detail/exploring-the-circumcenter-of-a-triangle
Exploring the Diameter and Circumference of a Circle
In this activity, students explore the relationship between a circles' circumference and its diameter which leads them to their own "discovery" of a value for pi. NCTM Geometry Standard covered: Analyze characteristics and properties of 2- and 3-dimensional geometric shapes and develop mathematic...https://education.ti.com/en/activity/detail/exploring-the-diameter-and-circumference-of-a-circle
Extension: Parallel Lines and the Sum of the Angles
Students construct a line parallel to the base of a triangle and measure the angles formed. They use the construction to prove that the sum of the measures of the interior angles of a triangle is 180 degrees.https://education.ti.com/en/activity/detail/extension-parallel-lines-and-the-sum-of-the-angles
Exterior and Interior Angle Theorem
In this activity, students investigate the relationship between the exterior angle of a triangle and its remote interior angles. They study the Triangle Sum Theorem and the Exterior Angle Theorem.https://education.ti.com/en/activity/detail/exterior-and-interior-angle-theorem
Exploring the Orthocenter of a Triangle
In this activity, students use the Cabri™ Jr. tools to draw altitudes in a triangle. They construct a line perpendicular to a given line and through a given point. NCTM Geometry Standard covered: Analyze characteristics and properties of 2- and 3-dimensional geometric shapes and develop mathemat...https://education.ti.com/en/activity/detail/exploring-the-orthocenter-of-a-triangle
Handy Reflections
The purpose of this investigation is to: Revise plotting points on the Cartesian plane Use and understand aspect ratios Improve estimation skills Use a spreadsheet or a graphing calculator to draw a graph Learn how to reflect lines and points in the x & y axis.https://education.ti.com/en/activity/detail/handy-reflections
Centers of a Triangle
The centroid, circumcenter, orthocenter, and incenter are the four classic centers of a triangle that are studied in geometry. In this activity, you will construct these center points and discover their properties.https://education.ti.com/en/activity/detail/centers-of-a-triangle
Function of a Circle
Students use Cabri,Jr. to construct a circle and its radius, measure both the circumference and the radius, and then collect data showing the relationship between the two. Using the TI-Navigator students input their data into lists and see the scatterplot of the collected data displayed on a coo...https://education.ti.com/en/activity/detail/function-of-a-circle
Centroid and Orthocenter
In this activity, students analyze the location of the centroid and orthocenter for different triangles.https://education.ti.com/en/activity/detail/centroid-and-orthocenter
Hey, Ortho! Whats Your Altitude?
In this activity, students will explore the altitudes of a triangle. Students will discover that the altitude can be inside, outside, or a side of the triangle. Students will discover that the altitudes are concurrent. The point of concurrency is the orthocenter. Students should discover the rela...https://education.ti.com/en/activity/detail/hey-ortho-whats-your-altitude
Investigating Area Relationships
The interactive Cabri Jr. geometry application makes it easy to measure the area of triangles and quadrilaterals. In this activity, students will explore some interesting area relationships in quadrilaterals.https://education.ti.com/en/activity/detail/investigating-area-relationships
Investigating Lengths of Segments in a Triangle
In this activity, students connect the midpoints of two sides of a triangle, to draw the midsegment of the triangle. They investigate how the length of this segment relates to the third side of the triangle. NCTM Geometry Standard covered: Analyze characteristics and properties of 2- and 3-dimens...https://education.ti.com/en/activity/detail/investigating-lengths-of-segments-in-a-triangle
Investigating Segments in a Right Triangle
In this activity, students review definitions of terms such as right triangle, hypotenuse, midpoint, vertices, and equidistant. They also discover an important characteristic of the midpoint of the hypotenuse. NCTM Geometry Standard covered: Analyze characteristics and properties of 2- and 3-dime...https://education.ti.com/en/activity/detail/investigating-segments-in-a-right-triangle
Investigating the Slopes of Parallel and Perpendicular lines
In this activity, students investigate how equations of parallel and perpendicular lines relate to each other. They use the drawing and measurement tools of Cabri™ Jr. to explore the slopes of lines. NCTM Geometry Standards: Analyze characteristics and properties of 2- and 3-dimensional geometric...https://education.ti.com/en/activity/detail/investigating-the-slopes-of-parallel-and-perpendicular-lines
Incenter of a Triangle
In this activity, students observe a special characteristic of the bisectors of the angles in a triangle. They test their conjecture by changing the size and shape of the triangle. NCTM Geometry Standard covered: Analyze characteristics and properties of 2- and 3-dimensional geometric shapes and ...https://education.ti.com/en/activity/detail/incenter-of-a-triangle
Inscribing a Circle in a Triangle
In this activity, students bisect the angles of a triangle and find the incenter of the triangle. They find the distance from the incenter to the side of the triangle and use it as radius. With the incenter as the center, they inscribe a circle in a triangle. NCTM Geometry Standard covered: Anal...https://education.ti.com/en/activity/detail/inscribing-a-circle-in-a-triangle
Constructing Triangles
This activity focuses on the various ways to construct the different types of triangles such as isosceles, equilateral, right, and right isosceles triangles. Students will begin by constructing triangles based on a minimal definition of the shape of the triangle. They will then make constructions...https://education.ti.com/en/activity/detail/constructing-triangles
Number Sets
When you start this activity, students receive a Venn diagram of real number sets (natural, whole, integer, rational, irrational)on their calculator. This same diagram is projected on the Activity Center screen at the front of the room. The teacher writes a value on the board and students move th...https://education.ti.com/en/activity/detail/number-sets
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.https://education.ti.com/en/activity/detail/perpendicular-slopes_1
Circumcenter and Incenter
In this activity, students examine the location of the circumcenter and incenter for different triangles.https://education.ti.com/en/activity/detail/circumcenter-and-incenter
Circumscribing a Circle About a Triangle
In this activity, students use the distance of the circumcenter of a triangle to each vertex of the triangle as the radius and draw a circle using the circumcenter as the center. NCTM Geometry Standard covered: Analyze characteristics and properties of 2- and 3-dimensional geometric shapes and de...https://education.ti.com/en/activity/detail/circumscribing-a-circle-about-a-triangle
Radius, Diameter, and Circumference of a Circle
In this activity, students will learn the basic concepts of the circle. They explore the relationship between the diameter and the radius, and between the diameter and circumference of a circle. They also get familiar with the Greek symbol π (pi).https://education.ti.com/en/activity/detail/radius-diameter-and-circumference-of-a-circle
Concurrency & the Circumcenter
In this activity, students will explore the perpendicular bisectors of the sides of a triangle. Students will discover that the perpendicular bisectors are concurrent and that the point of concurrency is the circumcenter. Students should discover the relationship between the type of triangle and ...https://education.ti.com/en/activity/detail/concurrency--the-circumcenter_1
Modeling Exponential Decay with a Look at Asymptotes
In this activity, students approximate exponential decay models by defining parameters A and B in the exponential equation y = abx. They identify non-zero asymptote form of an exponential function.https://education.ti.com/en/activity/detail/modeling-exponential-decay-with-a-look-at-asymptotes