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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

From Expressions to Equations

Substitute values for variables, evaluate expressions, and solve equations.
https://education.ti.com/en/activity/detail/from-expressions-to-equations

Roots and Cobwebs

This lesson involves finding roots to equations using a method similar to those used by many calculators.
https://education.ti.com/en/activity/detail/roots-and-cobwebs

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

Graphs of Sine and Cosine

The goal of this activity is for students to see how the graphs of sine and cosine 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.
https://education.ti.com/en/activity/detail/graphs-of-sine-and-cosine

How Many Solutions to the System?

Understand the difference between systems that have one, infinitely many , or no solution.
https://education.ti.com/en/activity/detail/how-many-solutions-to-the-system

Transformations of Logarithmic Functions

This lesson involves the family of logarithmic functions of the form f(x) = c*logb(x+a).
https://education.ti.com/en/activity/detail/transformations-of-logarithmic-functions

How Much Does Bubble Gum Stretch a Rubber Band?

Students will conduct an experiment where they determine how much various quantities of bubble gum affect the length of a rubber band.
https://education.ti.com/en/activity/detail/how-much-does-bubble-gum-stretch-a-rubber-band

Graph Sine and Cosine

Student will use the unit circle coordinates and angles to create the data that they will use to graph the sine and cosine functions and show the data is on the graph of them. The students will move a point in a graph to manually collect the data needed to make the graph. They will edit spreads...
https://education.ti.com/en/activity/detail/graph-sine-and-cosine

Graphing the Tangent to a Curve

Students will graph a function and the graph of the tangent line's slope as a point moves around the curve.
https://education.ti.com/en/activity/detail/graphing-the-tangent-to-a-curve

Zeros of a Cubic

This activity introduces students to a relationship between the zeros of a cubic function with 3 distinct zeros.
https://education.ti.com/en/activity/detail/zeros-of-a-cubic

Introducing Absolute Value

This activity introduces absolute value from a data value perspective. Students examine data by comparing individual data points to the mean by finding the difference (positive or negative) and the distance from the mean. They then plot the distances vs. the differences and examine the shape of t...
https://education.ti.com/en/activity/detail/introducing-absolute-value

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

Graphs of Linear Functions

Students investigate the connections between the points on a line and the equation of the line written in slope-intercept form.
https://education.ti.com/en/activity/detail/graphs-of-linear-functions

Probability of Repeated Independent Events

Investigate probability by simulating tossing a coin three times.
https://education.ti.com/en/activity/detail/probability-of-repeated-independent-events_1

Greatest Common Divisor and Least Common Multiple

Investigate GCD and LCM in applications.
https://education.ti.com/en/activity/detail/greatest-common-divisor-and-least-common-multiple

Power Function Inverses

Examine the graphs of power functions with even and odd integer powers.
https://education.ti.com/en/activity/detail/power-function-inverses

Polynomials: Factors, Roots and Zeroes

Investigate graphical and algebraic representations of a polynomial function and its linear factors.
https://education.ti.com/en/activity/detail/polynomials-factors-roots-and-zeroes

Hitting Homeruns

It is a study of the way a hit baseball moves through the air in the sense of using a quadratic function.
https://education.ti.com/en/activity/detail/hitting-homeruns

Permutations

Students are led through the development of the formula for finding n objects taken n at a time and then n objects taken r at a time.
https://education.ti.com/en/activity/detail/permutations_1

Polar Conics

This lesson involves exploration of polar equations for conic sections.
https://education.ti.com/en/activity/detail/polar-conics

Properties of Parabolas

This investigation offers an approach to show students the basic definition of a parabola as the locus of all points equidistant from a fixed point (focus) and a fixed line (directrix). Students will also interpret the equation for a parabola in vertex form and gain a visual understanding of a pa...
https://education.ti.com/en/activity/detail/properties-of-parabolas

Particle Motion1

This lesson involves the motion of a particle along a straight, horizontal line.
https://education.ti.com/en/activity/detail/particle-motion1

Particle Motion 2

This lesson involves the motion of a particle along a straight, horizontal line associated with a general position function.
https://education.ti.com/en/activity/detail/particle-motion-2

The Unit Circle

Students will be able to describe the relationship between the unit circle and the sine and cosine functions. They will be also able to describe the shape of the sine and cosine curves after "unwrapping" the unit circle.
https://education.ti.com/en/activity/detail/the-unit-circle