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Application of Maximum-Minimum Problems

Students will use a graphing approach to find the minimum costs of running a new line from a power station to a point on an island. Students will begin with a scaled drawing and follow the prompts. They will also manually collect data and find a curve of best fit.
https://education.ti.com/en/activity/detail/application-of-maximumminimum-problems

Area Under a Curve

Students will approximate the area under a polynomial curve using rectangles. Each of the polynomials in this activity represents a real-world situation to enable students to see the importance of finding the area under a curve.
https://education.ti.com/en/activity/detail/area-under-a-curve

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

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

Summing up Geometric Series

This lesson involves clicking on a slider to see that the area of a square that has been systematically divided into an infinite number of pieces approaches 1.
https://education.ti.com/en/activity/detail/sum-of-infinite-geometric-series

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

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

Calculations at the Crazy Cookie Company

...ices. The tutorial leads them through matrix product operations to find rules for matrix multiplication and predicting dimensions of matrix products. Application of matrix multiplication to the real-world is the goal of the Crazy Cookie Company problem in the latter part of the activity, which st...
https://education.ti.com/en/activity/detail/calculations-at-the-crazy-cookie-company

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

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

Families of Functions

Change sliders and observe the effects on the graphs of the functions.
https://education.ti.com/en/activity/detail/families-of-functions

Solving Systems of Linear Equations from Four Perspectives

Using the on-screen directions and the more detailed directions here, students will investigate four ways to solve systems of linear equations: graphically, numerically, with a data table and by matrices. Some prior familiarity with the basic functions of the TI-nspire CAS is needed. Students sho...
https://education.ti.com/en/activity/detail/solving-systems-of-linear-equations-from-four-perspectives

Solving Systems of Equations Check

This is just a Nspire file that affords the teacher some flexibility in terms of approach. It consists of ten problems with simple substitution.
https://education.ti.com/en/activity/detail/solving-systems-of-equations-check

Extraneous Solutions

Students will solve quadratic equations step by step graphically. They will discover that some of the equations have an extraneous solution and they will investigate at which step in solving the equation that these extra solutions appear.
https://education.ti.com/en/activity/detail/extraneous-solutions

What does "i" do?

The purpose of our lesson is to allow students to foster an understanding of what happens geometrically when a number is multiplied by i. This shall be achieved by working through the lesson using an investigative approach.
https://education.ti.com/en/activity/detail/what-does-i-do

Sail Problem (Parallel Lines & Segment Relationships)

In this activity, students will explore the proportional relationships involved in multiple parallel lines being cut by transversals. These relationships are approached through exploration of a sail design problem, where students are to find the lengths of pieces of fabric along the edge of a s...
https://education.ti.com/en/activity/detail/sail-problem-parallel-lines--segment-relationships

Dinner Party

In this activity, students investigate the total cost of a private party at each of three restaurants. They will model the cost of a party at each restaurant with the graph of a linear function.
https://education.ti.com/en/activity/detail/dinner-party

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

How Many States Have You Visited?

This is a beginner activity for students using the TI-84. Students will collect data from the class and create a Box & Whisker plot based on how many States students have visited. This is easy for the teacher to learn, and steps are relatively easy for students that are new to using 'stat plots...
https://education.ti.com/en/activity/detail/how-many-states-have-you-visited

Exploring Vertical Asymptotes- 84

This lesson involves observing how changing the values in a rational function affects the continuity of the graph of the function.
https://education.ti.com/en/activity/detail/exploring-vertical-asymptotes_1

Area of Rectangles with Fixed Perimeter

The students will construct several rectangles with different dimensions, all having the same perimeter. The area of each rectangle is then computed and plotted against the width of each rectangle. The students will discover that the area is a quadratic function of the width. They will also dis...
https://education.ti.com/en/activity/detail/area-of-rectangles-with-fixed-perimeter

Multiplicity of Zeros of Functions

In this activity for the TI-84 Plus CE Family,  students will utilize graphs and equations of polynomial functions to determine the zeros of the functions and whether the functions cross the x-axis or is tangent to the x-axis at the zeros.
https://education.ti.com/en/activity/detail/multiplicity-of-zeros-of-functions_1

Around the Vertex in 80 Days

Students move a quadratic function in the coordinate plane to specific points to observe how the vertex form of the equation changes.
https://education.ti.com/en/activity/detail/around-the-vertex-in-80-days_1

Introducing Families of Functions

Students will be able to identify important characteristics of specific function families. This activity focuses on linear and quadratic functions, but can be easily adapted to work with any family.
https://education.ti.com/en/activity/detail/introducing-families-of-functions