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
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
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
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
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
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
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
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
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
Parameters in Secondary School: Logistics Functions
Designed for prospective secondary mathematics teachers, this activity has students predict, test and justify the effects of changing parameters d and b for the logistic function family given by f(x) = a/(1+b(e)^(cx)) + d. Reflection questions draw attention to the role of claims and evidence, in...https://education.ti.com/en/activity/detail/parameters-in-secondary-school-logistics-functions
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
Quadratic Functions and Stopping Distance
Analyze data in real-life applications of the quadratic function.https://education.ti.com/en/activity/detail/quadratic-functions-and-stopping-distance
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
Remember When
In this activity, students will model the relationship between the year and average income, average price of a house, and average price of a car using exponential functions. Then students will answer questions related to the models to gain a deeper understanding of exponential functions.https://education.ti.com/en/activity/detail/remember-when
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
Modeling with a Quadratic Function
In this lesson, students use a quadratic function to model the flight path of a basketball. Students will interpret the parameters of the quadratic model to answer questions related to the path of the basketball.https://education.ti.com/en/activity/detail/modeling-with-a-quadratic-function
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
Inverse Fun
Investigate inverses of functions.https://education.ti.com/en/activity/detail/inverse-fun