Folding Parabolas
In this activity, students graph a quadratic function and investigate its symmetry by choosing pairs of points with the same y-value. They then calculate the average of the x-values of these points and discover that not only do all the points have the same x-value, but the average is equal to the...https://education.ti.com/en/activity/detail/folding-parabolas
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
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
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
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
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
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
Horizontal and Vertical Lines
Examine the vertical and horizontal changes when moving from one point to another on a line.https://education.ti.com/en/activity/detail/horizontal-and-vertical-lines
Parabolic Paths
Manipulate the equation of a quadratic function so that its graph passes through a particular point.https://education.ti.com/en/activity/detail/parabolic-paths
Parabola Construction
Students will construct a parabola using the focus and directrix definition. An extension problem has students explore how the location of the focus with respect to the directrix affects the shape of the parabola.https://education.ti.com/en/activity/detail/parabola-construction_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
Radical Transformations
Students will use sliders to examine how the square root function is transformed on the coordinate plane.https://education.ti.com/en/activity/detail/radical-transformations_1
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
Summing up Geometric Series
This lesson involves clicking on a slider to see that the area of a square that has been systematically divided into an infinite number of pieces approaches 1.https://education.ti.com/en/activity/detail/sum-of-infinite-geometric-series