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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 = 1
https://education.ti.com/en/activity/detail/sine-and-cosine-identities

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

Areas of Polygons

Use determinants of matrices as a tool to find the areas of triangles and quadrilaterals.
https://education.ti.com/en/activity/detail/areas-of-polygons

Max Area, Fixed Perimeter

The student will use a rectangle of fixed perimeter to find the dimensions of the rectangle of maximum area.
https://education.ti.com/en/activity/detail/max-area-fixed-perimeter

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

Expanding Binomials

In this activity, students will explore the link between Pascal's Triangle and the expansion of binomials in the development of the Binomial Theorem.
https://education.ti.com/en/activity/detail/expanding-binomials_1

Vernier - What Causes the Seasons?

In this activity, students' will explore how the tilt of the earth's axis results in different amounts of solar radiation at different times of the year, causing seasons. They will simulate the earth's warming using a light bulb that will shine on a Temperature Probe attached to a globe, and inve...
https://education.ti.com/en/activity/detail/vernier--what-causes-the-seasons

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

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

Area Measures and Right Triangles

Investigate dependent and independent objects when three equilateral triangles are drawn on the sides of a right triangle.
https://education.ti.com/en/activity/detail/area-measures-and-right-triangles

It's Getting Hot in Here

In this lesson, students will manipulate greenhouse gases to gather data on global temperature.
https://education.ti.com/en/activity/detail/its-getting-hot-in-here

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

Recombinant DNA

In this lesson, students complete the steps required to clone a single gene and express it in a model organism.
https://education.ti.com/en/activity/detail/recombinant-dna

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

Parallel Lines cut by a Transversal with Cabri Jr.

Using Cabri Jr, the students (with the teachers help) will create parallel lines cut by a transversal, measure angles, and compare the relationships of the angles formed using features of the Cabri Jr.
https://education.ti.com/en/activity/detail/parallel-lines-cut-by-a-transversal-with-cabri-jr

SSS Triangle Congruence

Students will: 1. Construct a triangle and measure its sides and angles. 2. Construct a second triangle with corresponding sides equal in length. 3. Try to alter the properties of their construction by moving the vertices.
https://education.ti.com/en/activity/detail/sss-triangle-congruence

Relationship of Vertical Angles

Explore congruency of vertical angles
https://education.ti.com/en/activity/detail/relationship-of-vertical-angles

Relationship Between Radius and Tangent to a Circle

Generalize that a tangent and a radius form a 90-degree angle.
https://education.ti.com/en/activity/detail/relationship-between-radius-and-tangent-to-a-circle

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 vertices
https://education.ti.com/en/activity/detail/sas-triangle-congruence

Relationship between central angle and inscribed angle measure

Students investigate the relationship between measure of central and inscribed angles in a circle.
https://education.ti.com/en/activity/detail/relationship-between-central-angle-and-inscribed-angle-measure

Tri This!

Students investigate linear equations that form a triangle and determine which vertex is a solution to a system of equations.
https://education.ti.com/en/activity/detail/tri-this

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

Triangle in the Matrix

Students represent a triangle with a matrix and use the determinant to find the area of three given triangles.
https://education.ti.com/en/activity/detail/triangle-in-the-matrix_1