SAS Triangle Congruence
Students will: 1.Construct a triangle and measure one pair of sides and the contained angle 2.Construct a second triangle with corresponding sides equal in length and congruent corresponding angles 3.Try to alter the properties of their construction by moving the verticeshttps://education.ti.com/en/activity/detail/sas-triangle-congruence
Trigonometric Ratios
Students discover the trigonometric ratios through measuring the side lengths of similar triangles and calculating their ratios. The formal definitions of the sine, cosine, and tangent or an angle are presented and applied to find the missing side lengths.https://education.ti.com/en/activity/detail/trigonometric-ratios
Ain't No River Wide Enough
Students simulate the process a surveyor would use to measure the width of a river by measuring length on one side of the river and angles formed by various reference points.https://education.ti.com/en/activity/detail/aint-no-river-wide-enough
Ellipses with center at (h, k)
Students will put the equations of an ellipse with center at (h, k) in standard form. Identify the center, vertices, co-vertices, foci, length of diamter axis, and length of the minor diameter. They will graph the ellipses.https://education.ti.com/en/activity/detail/ellipses-with-center-at-h-k
Trig Ratios - IB
In this activity, students will use Cabri™ Jr. to discover the relationship between the trigonometric functions: sine, cosine and tangent and the side length ratios of a right triangle.https://education.ti.com/en/activity/detail/trig-ratios
Arc length and Area of Sectors
This is an introduction to finding the arc length and area of sectors of circles. Students should have the formulas for Circumference and Area of circles.https://education.ti.com/en/activity/detail/arc-length-and-area-of-sectors
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
Is an equilateral triangle a special case of isosceles?
The definition of isosceles triangle can determine whether an equilateral triangle is a special case of an isosceles triangle. Using the Cabri Jr. application, students can get a feel for which definition makes the most sense. Along the way, they get experience with a perpendicular bisector, me...https://education.ti.com/en/activity/detail/is-an-equilateral-triangle-a-special-case-of-isosceles
Is a square a special case of rectangle?
The definition of square can determine whether it is a special case of a rectangle. Using the Cabri Jr. application, students can get a feel for why its definition makes sense. Along the way, they get experience with perpendiculars, parallels, measuring lengths, and an informal look at the inte...https://education.ti.com/en/activity/detail/is-a-square-a-special-case-of-rectangle
Perimeter and Area of a Square
Students study the perimeter and area of a square, and explore the relationship between them and the length of the side of the square.https://education.ti.com/en/activity/detail/perimeter-and-area-of-a-square
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 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
Walking the Fence Line
In this activity, students use the Geoboard to determine the perimeter of polygons. They learn to picture square roots visually as the side length of a square.https://education.ti.com/en/activity/detail/walking-the-fence-line
Triangle Inequalities
In this activity, students will discover the Triangle Inequality Theorem and explore the possible lengths of the third side of a triangle given the other two side lengths. Students will also classify the type of triangle as acute, obtuse, or right using the Pythagorean inequalities.https://education.ti.com/en/activity/detail/triangle-inequalities_1
Triangle Inequality Theorem
In this activity, students will explore the concepts underlying the Triangle Inequality Theorem by comparing side lengths and angle measures of a triangle. They will use an interactive construction to see why this theorem is true.https://education.ti.com/en/activity/detail/triangle-inequality-theorem_1
Triangle Midsegment Theorem
Students will use Cabri Jr. to discover that the midsegment of a triangle is parallel to the third side and half the length of the third side.https://education.ti.com/en/activity/detail/triangle-midsegment-theorem
Similar Triangles and Proportions
In this activity, students will investigate the relationship among the similar triangles formed when a segment is constructed parallel to one side of a triangle. They will explore the various ratios that exist between the lengths of the sides of similar triangles.https://education.ti.com/en/activity/detail/similar-triangles-and-proportions
NUMB3RS - Season 3 - "Killer Chat" - Stylometry
In "Killer Chat," the FBI has obtained a collection of online chat dialogues from a suspected killer. Charlie proposes he use Statistical Linguistic Analysis to identify the author. The style and language can essentially fingerprint the writing. Stylometry, the practice of applying statistical an...https://education.ti.com/en/activity/detail/numb3rs--season-3--killer-chat--stylometry
Segments Formed by Intersecting Chords, Secants, and Tangents
This activity is designed to help students discover several important theorems concerning lengths of segments formed by intersecting chords, secants, and tangents.https://education.ti.com/en/activity/detail/segments-formed-by-intersecting-chords-secants-and-tangents
Describing Bivariate Data (Two Quantitative Variables)
Students explore the relationship between two quantitative variables in bivariate data using various x-y plots. They compare the relationships for several categories on the same plot. Students calculate the correlation coefficient to measure the strength and direction of the linear relationship t...https://education.ti.com/en/activity/detail/describing-bivariate-data-two-quantitative-variables
Calculating the Area of a Triangle Using Heron's Formula
Students will measure the lengths of the sides of three different triangles and apply Heron's Formula to calculate the area in acres. The measurements for this activity may be done outside or, using a specified scale, completed inside. Students will calculate the area using their graphing calcul...https://education.ti.com/en/activity/detail/calculating-the-area-of-a-triangle-using-herons-formula
Got an equilateral triangle? with Cabri Jr.
Using the Compass tool in Cabri Jr., students will construct an equilateral triangle, and check the length of each side. When a vertices is moved using the Alpha hand, the triangle remains equilateral.https://education.ti.com/en/activity/detail/got-an-equilateral-triangle---with-cabri-jr
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
Circles in the Plane
In this activity, students will use the Cabri™ Jr. application to explore circles in a plane. They will investigate the relationship between the equation of a circle, the length of its radius, and the coordinates of its center.https://education.ti.com/en/activity/detail/circles-in-the-plane
Classifying Quadrilaterals
Students receive two Cabri Jr. files of quadrilaterals on a coordinate plane. They use their knowledge of quadrilaterals to give each one the most precise name. They may find the length and/or slope of the sides using the measuring tools of Cabri Jr. to assist in their classification.https://education.ti.com/en/activity/detail/classifying-quadrilaterals_1