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
Permutations & Combinations
Students explore permutations and combinations by arranging letters when order does and does not make a difference.https://education.ti.com/en/activity/detail/permutations--combinations_1
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
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 Slope of the Curve Where Two Points Meet
Students will enter a function and investigate the slope of the secant as it moves closer to becoming a tangent.https://education.ti.com/en/activity/detail/the-slope-of-the-curve-where-two-points-meet
The Function Elevator
This lesson involves creating and comparing graphical representations of position and velocity functions from a scenario.https://education.ti.com/en/activity/detail/the-function-elevator
Outbreak
Students explore a geometric sequence related to an outbreak of the flu, extrapolate to make predictions based on given data, and apply summation notation to determine the sum of any number of terms, n, in a series.https://education.ti.com/en/activity/detail/outbreak
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
Compound Interest
This lesson involves exploring the formula for compound interest as a function of the initial deposit, interest rate, and the number of pay periods per year.https://education.ti.com/en/activity/detail/compound-interest
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
Matrix Multiplication
Examine matrix multiplication to identify the conditions necessary to be able to multiply two matrices.https://education.ti.com/en/activity/detail/matrix-multiplication
Matrix Inverses
Modify a 2 X 2 matrix being multiplied by another 2 X 2 matrix until their product is the identity matrix.https://education.ti.com/en/activity/detail/matrix-inverses
Completing the Square Algebraically
Complete the square algebraically to rewrite a quadratic expression.https://education.ti.com/en/activity/detail/completing-the-square-algebraically
Matrix Transformations
Grab vertices of a polygon undergoing reflections and rotations in the coordinate plane to determine the transformation’s type.https://education.ti.com/en/activity/detail/matrix-transformations
Living on the Edge
Students build a solution to a rather complex problem: Finding the edge length of an octahedron given its volume by solving two simpler problems first.https://education.ti.com/en/activity/detail/living-on-the-edge_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
Transformations: Translating Functions
Translate different types of function graphs using sliders.https://education.ti.com/en/activity/detail/transformations-translating-functions
Constructing an Ellipse
Students will explore two different methods for constructing an ellipse. Students discover that the sum of the distances from a point on an ellipse to its foci is always constant. This fact is then used as the basis for an algebraic derivation of the general equation for an ellipse centered at th...https://education.ti.com/en/activity/detail/constructing-an-ellipse_1
Application of Function Composition
Determine the domain and range of two functions and the composite functions.https://education.ti.com/en/activity/detail/application-of-function-composition
Exponential vs. Power
Compare rates of growth between an exponential function and a power function for positive x-values.https://education.ti.com/en/activity/detail/exponential-vs--power
Analyzing an Electricity Bill
This investigation guides the students through using a piecewise function to model an electric bill.https://education.ti.com/en/activity/detail/analyzing-an-electricity-bill