Somewhere in the Middle
In this activity, students will explore the Mean Value Theorem. Students will find out when the tangent line is parallel to the secant line passing through the endpoints of an interval to help them find the values of c guaranteed to exist by the MVT. Students will also test functions where the hy...https://education.ti.com/en/activity/detail/somewhere-in-the-middle_1
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 originally made by Lauren Jensen.https://education.ti.com/en/activity/detail/can-you-make-my-graph
Multiplication & Division of Functions
Students will determine the resulting functions produced from the multiplication and division of two functions. They will explore the graphical representation of the resulting function and support their algebraic solution by determining if the graphs coincide. Additionally, students will evaluate...https://education.ti.com/en/activity/detail/multiplication--division-of-functions
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
Investigating Logistic Functions and Applications
Students will investigate the graphs of logistic functions, function characteristics, and solving logistic equations in Problem 1. Application problems that are modeled by logistic functions are completed in Problem 2-4. This activity is appropriate for Algebra II or Precalculus.https://education.ti.com/en/activity/detail/investigating-logistic-functions-and-applications
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
Linear Equation Games Unit:Activity #1 Find The Rule Game
Students are to find equations of linear function from a table of values. There are two Find the Rule Game activities along with a Find the Rule Game for Point Slope.https://education.ti.com/en/activity/detail/linear-equation-games-unitactivity-1-find-the-rule-game
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
Verifying Trigonometric Identities
The student will look at the different tools needed to verify trigonometric identitites including reciprocals, cofunctions, quotient, and Pythagorean identities. Students will also be introduced to the "Hexagon".https://education.ti.com/en/activity/detail/verifying-trigonometric-identities
Wrapping Functions
This activity introduces students to various functions of a circular angle. They are shown a unit circle and a point P that can be dragged around the circle. As the point is dragged, different measures are captured, including angle measures, linear distance, and the area of a sector. The activity...https://education.ti.com/en/activity/detail/wrapping-functions
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
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
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
Discriminant Testing
Discover the relationship between the value of the discriminant and the nature of the roots of quadratic functions.https://education.ti.com/en/activity/detail/discriminant-testing
Graph Logarithms
Investigate the graphs of a family of logarithm functions by changing the a-value over the internal 0 to 4.https://education.ti.com/en/activity/detail/graph-logarithms
Why is the Sky Blue and When Will We Ever Use This?
Have you ever tried to come up with a real life example for a rational function with an exponent to the negative four? Have you ever wondered why the sky is blue? Here is a short example of the uses of a rational function.https://education.ti.com/en/activity/detail/why-is-the-sky-blue-and-when-will-we-ever-use-this
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
When Is Tangent, tangent?
This activity combines the ideas of unit circle, and a line tangent to the unit circle to explain how Tangent (the trig. ratio) is related to the concept of tangent to a figure (from geometry). The intent is to briefly explore the mathematical history of the trigonometric ratio "tangent" through ...https://education.ti.com/en/activity/detail/when-is-tangent-tangent
Getting Ready for Quadratics
This activity is intended as a skill-building exercise to familiarize students with TI-Nspire skills they will need to work through a unit studying the properties of quadratic functions. The activity includes exercises on Creating a Scatter Plot, Finding a Curve of Best Fit, and Tracing a Function.https://education.ti.com/en/activity/detail/getting-ready-for-quadratics
Advanced Algebra Nomograph
This activity is similar to a function machine. The nomograph is comprised of two vertical number lines, input on the left and output on the right. The transformation of input to output is illustrated dynamically by an arrow that connects a domain entry to its range value. Students try to find th...https://education.ti.com/en/activity/detail/advanced-algebra-nomograph
Local Linearity
Students explore zooming in on various functions including piecewise functions.https://education.ti.com/en/activity/detail/local-linearity
Stacking Bricks
This activity presents a real-world situation--stacking bricks in a pile--that can be modeled by a polynomial function.https://education.ti.com/en/activity/detail/stacking-bricks_1
Stacking Bricks - 84
This activity presents a real-world situation--stacking bricks in a pile--that can be modeled by a polynomial function. Students create a small table to show how the number of bricks relates to the number of rows, and calculate the first, second, and third differences of the data. Next they use t...https://education.ti.com/en/activity/detail/stacking-bricks
Compound Interest: Show Me the Money
This is an activity at the conclusion of the exponential relationship unit where students have experience with equations in the form y=a*b^x. Students use the random integer function on the TI-83 Plus to generate a rate of return for the investment profile they choose.https://education.ti.com/en/activity/detail/compound-interest-show-me-the-money
Graphing Quadratic Functions
Students graph quadratic functions and study how the constants in the equations compare to the coordinates of the vertices and the axes of symmetry in the graphs. The first part of the activity focuses on the vertex form, while the second part focuses on the standard form. Both activities include...https://education.ti.com/en/activity/detail/graphing-quadratic-functions_1