Continuity and Differentiability of Functions
Students will manipulate piecewise functions to make them continuous. Once students create a continuous function, they will calculate derivatives to determine if the function is also differentiable.https://education.ti.com/en/activity/detail/continuity-and-differentiability-of-functions
Area Function Problems
Understand the relationship between the area under a derivative curve and the antiderivative function.https://education.ti.com/en/activity/detail/area-function-problems
Applications of Critical Points
Students will examine the relationship between critical points and local extrema through real-world examples. Students will zoom in on the critical points to see if the curve becomes linear to determine if the function is differentiable at the critical point. They will then discover that the sign...https://education.ti.com/en/activity/detail/applications-of-critical-points
Exploring Vertical Asymptotes
Students will be able to determine the domain of rational functions, use algebraic concepts to determine the vertical asymptotes of a rational function, determine the removable discontinuities of a rational function, and describe the graph of a rational function given the equation.https://education.ti.com/en/activity/detail/exploring-vertical-asymptotes
Printing Your Own Books - is it more cost effective?
In this activity, students will create functions based on real-life scenarios, fill out a table of values, and critically analyze characteristics of graphs.https://education.ti.com/en/activity/detail/printing-books
Exploring Functions
Students will explore functions and identify domain and range using graphs, equations, and function tables. This activity was created for students who have had a lesson of functions and have some basic knowledge of TI-Nspire technology.https://education.ti.com/en/activity/detail/exploring-functions
Graphical Analysis
Students will analyze graphs of polynomials finding intervals over which the function is increasing or decreasing and positive or negative, as well as the function’s relative minimum and maximum values and x- and y-intercepts.https://education.ti.com/en/activity/detail/graphical-analysis
Graphs of Polynomial Functions
The activity begins by having students compare functions to introduce the concept of end behavior. Then they graph cubics and quartics, noting the respective end behaviors for positive and negative leading coefficients. Finally, they compare quadratics to quartics and cubics to quintics to discov...https://education.ti.com/en/activity/detail/graphs-of-polynomial-functions
Catching the Rays
Students will fit a sinusoidal function to a set of data. The data are the number of hours of daylight starting January 1st and collected on the first and sixteenth days of the months in Thunder Bay, Ontario, Canada.https://education.ti.com/en/activity/detail/catching-the-rays
Can You Make My Graph?
Students are to find the equations of graphs of trigonometric functions (using sine and cosine) and will also identify values for the amplitude, period, phase shift, and vertical shift. This activity is a modified version of the activity "What's the Equation?" originally made by Lauren Jensen.https://education.ti.com/en/activity/detail/can-you-make-my-graph
Multiplicity of Zeros of Functions
Students will utilize graphs and equations of five polynomial functions to determine the zeros of the functions and whether the functions cross the x-axis at these zeros or just touch the x-axis at the zeros. Then students will determine the degree of the polynomial functions and the effect the d...https://education.ti.com/en/activity/detail/multiplicity-of-zeros-of-functions
Modeling Situations Using Piecewise Functions
In this activity, the students use piecewise functions to describe and model everyday situations.https://education.ti.com/en/activity/detail/modeling-situations-using-piecewise-functions
Investigating the Sine Function
In this activity, students will use their Nspire handhelds to discover the different attributes of the graph of the sine function. The students will take advantage of the dynamic capabilities of this very unique handheld to explore the amplitude, period, and phase shift of the sine function grap...https://education.ti.com/en/activity/detail/investigating-the-sine-function
Investigating Sine and Cosine Functions Graphically
Students will use Sliders on the TI-Nspire to change coefficients of the basic sine and cosine function. Students will investigate how the graph changes by looking at different coefficients. Students will also investigate the sine and cosine graphs by comparing intersection points. Download t...https://education.ti.com/en/activity/detail/investigating-sine-and-cosine-functions-graphically
Inverse Trig Functions
This activity works backwards by giving students the inverse functions and having them discover how they relate to the original functions. By tracing along the inverse function, data is collected and then plotted on a statplot. The variables are then switched on the statplot. The new plot and ...https://education.ti.com/en/activity/detail/inverse-trig-functions
Unit Circle
Students will use the unit circle to find the value of trigonometric functions of various angles. Students will find connections between the unit circle and the trigonometric functions sine and cosine.https://education.ti.com/en/activity/detail/unit-circle_2
Absolute Value
This lesson involves the family of absolute value functions of the form f(x) = a |x + c| + b.https://education.ti.com/en/activity/detail/absolute-value
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
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
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
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
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