Unit Circle
Students will use the unit circle to find the value of trigonometric functions of various angles. Students will find connections between the unit circle and the trigonometric functions sine and cosine.https://education.ti.com/en/activity/detail/unit-circle_2
Trigonometry: What's My Move?
This can be used as a discovery or review activity for students to learn the various transformations of a trigonometric curve in the form of y=AcosB(x-C)+D.https://education.ti.com/en/activity/detail/trigonometry-whats-my-move
Verifying Trigonometric Identities
The student will look at the different tools needed to verify trigonometric identitites including reciprocals, cofunctions, quotient, and Pythagorean identities. Students will also be introduced to the "Hexagon".https://education.ti.com/en/activity/detail/verifying-trigonometric-identities
From 0 to 180 - Rethinking the Cosine Law with Data
The goal of this activity is for students to experience a data-driven, inductive investigation leading to the cosine law. This could be used in addition to or instead of the traditional proof to deepen the understanding of the behavior of triangles and make the concepts more accessible to more s...https://education.ti.com/en/activity/detail/from-0-to-180--rethinking-the-cosine-law-with-data
Sine and Cosine Identities
Students will explore the relationship between the measure of an angle and its sine and cosine. Students will develop two trigonometric identities: sinA / cosA= tanA sin2A + cos2A = 1https://education.ti.com/en/activity/detail/sine-and-cosine-identities
Graphs of Tangent, Cotangent, Secant, and Cosecant
The goal of this activity is for students to see how the graphs of tangent, cotangent, secant, and cosecant are generated and related to the unit circle. A point is animated around the unit circle as data points are captured to create a scatter plot. Students discover a way to relate each of th...https://education.ti.com/en/activity/detail/graphs-of-tangent-cotangent-secant-and-cosecant
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
Dilations with Matrices
In this activity, students will use matrices to perform dilations centered at the origin of triangles. Students will explore the effect of the scale factor on the size relationship between the preimage and image of a polygon.https://education.ti.com/en/activity/detail/dilations-with-matrices_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
Exploring the Cycloid Curve
The TI Nspire's animation feature is used to show how a point on a rotating circle creates the cycloid curve. Students then examine the parametric equation of the cycloid. Finally, students are tasked with going online to investigate the terms brachistochronous and tautochronous and their relat...https://education.ti.com/en/activity/detail/exploring-the-cycloid-curve
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
When The Wind Blows
An investigative project based learning activity incorporating math and science through the connections among Chemistry, Physics, and Trigonometry. Project leads to consideration of the feasibility of alternative energy options based on research and local data. Student activities culminate in the...https://education.ti.com/en/activity/detail/when-the-wind-blows
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
Investigating the Pythagorean Theorem
Use your TI-84 Silver Plus calculator and the Carbri Jr file 'PYTHAG' to have students investigate what happens to the results of the Pythagorean Theorem for acute, right, and obtuse triangles.https://education.ti.com/en/activity/detail/investigating-the-pythagorean-theorem
REAL LIFE REAL WORLD Activity: Air Traffic Control
In this lesson, students will model and solve air traffic control problems with geometry software. The Cabri Jr. application will be used to construct a model of the problem situation and concepts from trigonometry and proportions are then applied to find the solution.https://education.ti.com/en/activity/detail/real-life-real-world-activity-air-traffic-control
Dilations with Matrices
Students use matrices to perform dilations centered at the origin of triangles. Students will explore the effect of the scale factor on the size relationship between the preimage and image of a polygon.https://education.ti.com/en/activity/detail/dilations-with-matrices
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
The Pythagorean Theorem
Students will construct figures that prove the Pythagorean Theorem in two different ways.https://education.ti.com/en/activity/detail/the-pythagorean-theorem
Perimeters, Areas, and Slopes - Oh, My!
Students create geometric figures, and use analytic and coordinate geometry to investigate their attributes. They go through the process of proving that a quadrilateral is a parallelogram.https://education.ti.com/en/activity/detail/perimeters-areas-and-slopes--oh-my
Financial Mathematics
We at COMAP have a free download course in financial mathematics, with emphisis on personal finance, for upper high school and undergraduate college. The course includes extensive code for the TI83/84. To see the course, go to COMAP.com, register, and COMAP will e-mail your a password. An art...https://education.ti.com/en/activity/detail/financial-mathematics
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
Transforming "F" on the coordinate plane
Students move their cursor in activity center to occupy a unique point on a background letter "F" in quadrant 1. Students then together follow a rule for going to a different point (such as "use the opposite of the original x coordinate") and sketch the resulting transformation on their worksheet...https://education.ti.com/en/activity/detail/transforming-f-on-the-coordinate-plane
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
Right Triangle Vocabulary
Using Activity Center, students will "march" to the appropriate triangle segment. This activity allows the entire class to demonstrate understanding of vocabulary words necessary to start right trianlge trigonometry: opposite side, adjacent side and hypotenuse side. This activity is a good cl...https://education.ti.com/en/activity/detail/right-triangle-vocabulary
Ratios in Right Triangles
The study of properties of right triangles is a major topic in mathematics. In this activity, you will investigate three common right triangle trigonometric ratios.https://education.ti.com/en/activity/detail/ratios-in-right-triangles