Proof of Identity
Students use graphs to verify the reciprocal identities. They then use the handheld's manual graph manipulation feature to discover the negative angle, cofunction, and Pythagorean trigonometric identities. Geometric proofs of these identities are given as well.https://education.ti.com/en/activity/detail/proof-of-identity_1
Quadratic Formula and Discriminant
This interactive quiz first steps students through the derivation of the quadratic formula by completing the square, and then generates random quadratics for which students need to show the steps of solving by first finding the value of the discriminant, and then using it in the formula. There ar...https://education.ti.com/en/activity/detail/quadratic-formula-and-discriminant
Rational Roots of Polynomial Functions
In this activity, students apply the Rational Root Theorem in determining the rational roots of 4 polynomial functions. Results of the application of the theorem are compared to results obtained graphically to identify the presence of irrational roots.https://education.ti.com/en/activity/detail/rational-roots-of-polynomial-functions
Compositions Graphically
Students will use graphs and tables to find compositions of functions. Two of the compositions presented in this activity represent real-world situations, which should aid in students understanding the concept of compositions.https://education.ti.com/en/activity/detail/compositions-graphically
Composition of Functions
Students will determine the resulting functions produced from the composition of two functions. They will explore the graphical representation of the resulting function and support the algebraic solution by determining if the graphs coincide. Additionally, students will evaluate two points using ...https://education.ti.com/en/activity/detail/composition-of-functions
Complex Numbers
Students calculate problems from the student worksheet to determine the rules for adding, subtracting, multiplying, and dividing complex numbers.https://education.ti.com/en/activity/detail/complex-numbers_1
When Is Tangent, tangent?
This activity combines the ideas of unit circle, and a line tangent to the unit circle to explain how Tangent (the trig. ratio) is related to the concept of tangent to a figure (from geometry). The intent is to briefly explore the mathematical history of the trigonometric ratio "tangent" through ...https://education.ti.com/en/activity/detail/when-is-tangent-tangent
Advanced Algebra Nomograph
...ormation of input to output is illustrated dynamically by an arrow that connects a domain entry to its range value. Students try to find the rule of hidden functions by entering different domain values. They also use a nomograph with three vertical number lines to explore composite functions, inc...https://education.ti.com/en/activity/detail/advanced-algebra-nomograph
End Behavior of Polynomial Functions
Students will use a slider to scroll through the graphs of power functions with a coefficient of positive and negative 1 and determine similarities and differences among the functions. Students will generalize the end-behavior properties of various power functions.https://education.ti.com/en/activity/detail/end-behavior-of-polynomial-functions
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
Vernier - Freezing and Melting of Water
In this experiment, the cooling and warming behavior of a familiar substance, water, will be investigated. By examining graphs of the data, the freezing and melting temperatures of water will be determined and compared.https://education.ti.com/en/activity/detail/vernier--freezing-and-melting-of-water_1
Martinsville Chase
In this activity, students will analyze attaching a wing to a Sprint Cup car.https://education.ti.com/en/activity/detail/martinsville-chase
Plane Mirrors
In this lesson, students will investigate the relationship between an object and its image in a plane mirror. Understanding how plane mirrors work provides a useful scaffold for understanding more complex situations, such as those involving concave and convex mirrors.https://education.ti.com/en/activity/detail/plane-mirrors
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
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
Testing for Truth
Students identify whether points lie within a shaded region that is bounded by linear inequalities.https://education.ti.com/en/activity/detail/testing-for-truth
Area of Rectangles with Fixed Perimeter
The students will construct several rectangles with different dimensions, all having the same perimeter. The area of each rectangle is then computed and plotted against the width of each rectangle. The students will discover that the area is a quadratic function of the width. They will also dis...https://education.ti.com/en/activity/detail/area-of-rectangles-with-fixed-perimeter
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
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
Proof of the Pythagorean Theorem using Transformations
In this activity, students will explore visual proofs of the Pythagorean Theorem using area and transformations. They will use the Cabri™ Jr. app to perform translations on the squares constructed on the two legs and the hypotenuse of a right triangle to consolidate their understanding of the Pyt...https://education.ti.com/en/activity/detail/proof-of-the-pythagorean-theorem-using-transformations
Plotting a Normal Curve
This activity introduces students to the graph of the normal curve and the affect of changing the standard deviation on the shape of the graph. Students, with the aid of their TI calculators and TI-Navigator system, each find ten random numbers from a normal distribution whose mean is 12 and whos...https://education.ti.com/en/activity/detail/plotting-a-normal-curve
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