Exploring Complex Roots
In this activity, you will explore the relationship between the complex roots of a quadratic equation and the related parabola's graph. Open the file CollegeAlg_ComplexRoots.tns on your TI-Nspire handheld device to work through the activity.https://education.ti.com/en/activity/detail/exploring-complex-roots
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
Solids of Revolution
Students will investigate 3D visualizations of volumes created by rotating a function about the x-or y-axis. They will understand the concept and reason for the volume formula in order to be prepared for generalizations. Students will solve the definite integral by hand using the fundamental theo...https://education.ti.com/en/activity/detail/solids-of-revolution
Random Samples
Compare the results of the three estimation methods to show that random samples of rectangles provide estimates that, on average, are closer to the true population mean than the other two methods.https://education.ti.com/en/activity/detail/random-samples
Box Plots & Histograms
Students create and explore a box plot and histogram for a data set. They then compare the two data displays by viewing them together and use the comparison to draw conclusions about the data.https://education.ti.com/en/activity/detail/box-plots--histograms
Investing in Your Future - Using Spreadsheets to Make Comparisons
This activity provides students the opportunity to make financial decisions based on different investment scenarios. Students will use the spreadsheet application of the TI-Nspire calculator to compare the results of investing in a certificate of deposit or a Money Market Account. Students will p...https://education.ti.com/en/activity/detail/investing-in-your-future--using-spreadsheets-to-make-comparisons
It's All About Food Activity
This is a follow up activity to You Are What You Eat where students are comparing estimated calories versus actual calories and making conjectures based on their scatterplot graphs.https://education.ti.com/en/activity/detail/its-all-about-food-activity
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
Permutations & Combinations
Students explore permutations and combinations by arranging letters when order does and does not make a difference.https://education.ti.com/en/activity/detail/permutations--combinations_1
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
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
Complex Numbers: Plotting and Polar Form
This activity is designed for students who have had prior experience with complex numbers. They first refresh their memories of basic operations with complex numbers. Students then learn to plot complex numbers. Students learn the basics of writing complex numbers in their polar forms and compari...https://education.ti.com/en/activity/detail/complex-numbers-plotting-and-polar-form
Inverse of Two Temps
Students find a conversion equation that will calculate the corresponding Celsius temperature for any given Fahrenheit temperature. Students learn to graph scatter plots, analyze and graph linear equations, compute and model slope, derive and apply a conversion equation, and analyze inverse relat...https://education.ti.com/en/activity/detail/inverse-of-two-temps
Vernier - Graphing Your Motion
In this activity, students use a Vernier Motion Detector to measure distance and velocity. Students prepare graphs of motion and analyze them. They compare and match graphs of distance versus time and velocity versus time.https://education.ti.com/en/activity/detail/vernier--graphing-your-motion
Box Plots and Histograms
Students create and explore a box plot and histogram for a data set. They then compare the two data displays by viewing them together and use the comparison to draw conclusions about the data.https://education.ti.com/en/activity/detail/box-plots-and-histograms
Quadratic Equations with the CBL 2
Students will generate parabolas using the motion sensor. They will then determine the vertex form of the equation and compare it to the regression equation from the calculator.https://education.ti.com/en/activity/detail/quadratic-equations-with-the-cbl-2
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
Hot Wheel Lab
In this activity, students will gather data that compares the slope of a hot wheel ramp to the distance the car travels. They will then graph, draw a line of best fit and write an equation for their data.https://education.ti.com/en/activity/detail/hot-wheel-lab
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
Arithmetic Sequences & Series
Students use formulas to find the differences of the consecutive terms, plot a scatter plot of each sequence, and determine that sequences with common differences (called arithmetic sequences) have scatter plots whose points form a straight line.https://education.ti.com/en/activity/detail/arithmetic-sequences--series_1
How Random!
Students use simulations and graphs to explore the common sense notion that repeatedly flipping a coin results in "heads up" about half of the time. First, they simulate an experiment by representing single coin flips with random numbers. Next, they use a given formula to simulate multiple coin f...https://education.ti.com/en/activity/detail/how-random_1
NUMB3RS - Season 3 - "Spree" - A Pursuit Curve Problem
In "Spree", two lovers have committed a series of crimes at various locations. Agents Eppes and Edgerton have plotted a map of their movements and have enlisted Charlie's help in trying to detect a pattern. Charlie says that the map shows only half of the story, and this pattern 'is a variation o...https://education.ti.com/en/activity/detail/numb3rs--season-3--spree--a-pursuit-curve-problem
Heads Up!
In this activity, students study some important concepts of probability. They use coin tossing experiments to determine the probability of a tossed coin coming up heads. They examine both short and long term experimental probabilities and their relationship to the theoretical probability.https://education.ti.com/en/activity/detail/heads-up
Plotting a Normal Curve
This activity introduces students to the graph of the normal curve and the affect of changing the standard deviation on the shape of the graph. Students, with the aid of their TI calculators and TI-Navigator system, each find ten random numbers from a normal distribution whose mean is 12 and whos...https://education.ti.com/en/activity/detail/plotting-a-normal-curve
Plotting a Binomial Probability Distribution Curve
This activity introduces students to the graph of a binomial probability distribution and the affect of changing the probability of success on the shape of the graph. Students, with the aid of their TI calculators and TI-Navigator system, each find ten random numbers from a binomial distribution ...https://education.ti.com/en/activity/detail/plotting-a-binomial-probability-distribution-curve