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Graphing Quadratic Functions

Students graph quadratic functions and study how the variables in the equations compare to the coordinates of the vertices and the axes of symmetry in the graphs.
https://education.ti.com/en/activity/detail/graphing-quadratic-functions

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

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

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

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 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

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

Standard Form of Quadratic Functions

Use sliders to determine the effect the parameters have upon a quadratic function in standard form.
https://education.ti.com/en/activity/detail/standard-form-of-quadratic-functions

Hose Problem

Investigating the behaviour of water jets from a hose. Suitable for Year 10 extension or Year 11 students. Graphing parabolas, features of quadratic functions, regression lines. Using TI-Nspire.
https://education.ti.com/en/activity/detail/hose-problem

Graphing Exponentials

Investigate the graphs of the family of exponential functions.
https://education.ti.com/en/activity/detail/graphing-exponentials

Graphic Designing with Transformed Functions

Create an image using transformed functions with restricted domains.
https://education.ti.com/en/activity/detail/graphic-designing-with-transformed-functions