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Interesting Properties of Cubic Functions

This Computer Algebra System (CAS) activity encourages students to investigate numerical and graphical properties of cubic functions, and to verify the results using CAS.
https://education.ti.com/en/activity/detail/interesting-properties-of-cubic-functions

Exponential Reflections

In this activity, you will investigate the inverse of an exponential function. You will also investigate the symmetry of the exponential function and its inverse.
https://education.ti.com/en/activity/detail/exponential-reflections_1

Derivatives of Trigonometric Functions

Students will use the graph of the sine function to estimate the graph of the cosine function. They will do this by inspecting the slope of a tangent to the graph of the sine function at several points and using this information to construct a scatter plot for the derivative of the sine. Students...
https://education.ti.com/en/activity/detail/derivatives-of-trigonometric-functions

Integration By Substitution

Students explore methods for computing integrals of functions that are not in one of the standard forms.
https://education.ti.com/en/activity/detail/integration-by-substitution_1

Properties of Parallelograms

In this activity, students will discover the properties of a parallelogram. Students will measure various components of a parallelogram to make conjectures about its properties.
https://education.ti.com/en/activity/detail/properties-of-parallelograms

Extrema

Students will learn how to find and label extrema using first and second derivatives, be able to inspect a graph and determine which extrema the function has, and be able to use Trace, fMin, and fMax to verify the computed answers and find critical values for parametric functions.
https://education.ti.com/en/activity/detail/extrema

Corresponding Parts of Congruent Triangles

Explore corresponding parts of congruent triangles.
https://education.ti.com/en/activity/detail/corresponding-parts-of-congruent-triangles

Ratios of Similar Figures

Students explore the ratio of perimeter, area, surface area, and volume of similar figures in two and three dimensional figures.
https://education.ti.com/en/activity/detail/ratios-of-similar-figures_1

Points & Lines & Slopes (Oh My!)

In this activity, students will use coordinates to better understand that relationship, as well as the relationship between coordinates of points and their quadrant locations, slopes and y-intercepts, and parallel and perpendicular lines.  
https://education.ti.com/en/activity/detail/points--lines--slopes-oh-my_ns_ib

Dog Days or Dog Years?

Students use ordered pairs, table of values, and a scatter plot to determine a function that represents real world data.
https://education.ti.com/en/activity/detail/dog-days-or-dog-years

Representing the Solution Process by Graphing

In this activity, students will explore the relationships in equations. Students will validate inquiries by graphing expressions from both sides of an equation. Students will rationalize the characteristics of graphing equations. At the Pre-Algebra level, this activity can be used to compare equ...
https://education.ti.com/en/activity/detail/representing-the-solution-process-by-graphing

Factoring Special Cases

Students explore geometric proofs for two factoring rules: a2 + 2ab + b2 = (a + b)2 and x2 – a2 = (x – a)(x + a). Given a set of shapes whose combined areas represent the left-hand expression, they manipulate them to create rectangles whose areas are equal to the right-hand expression.
https://education.ti.com/en/activity/detail/factoring-special-cases_1

Variables on Both Sides

Students encounter various scenarios involving perimeters of polygons.
https://education.ti.com/en/activity/detail/variables-on-both-sides_1

Trains in Motion

Compare and contrast the motion of two objects and how it corresponds to distance as a function of time.
https://education.ti.com/en/activity/detail/trains-in-motion_1

Pi and Precision

Students will collect the measurements of circumference and diameter for four objects in their group. (Cup, Can, Mint Candy, and a Coin) They will then investigate the accuracy of their data colletion using a numerical table and a scatter plot. Students must observe how closely their measurements...
https://education.ti.com/en/activity/detail/pi-and-precision

Examining Patterens in a Table, Function Rule, and Graphs

In this activity, students will identify characteristics of proportional and non-proportional linear relationships by examining patterns in a table, function rules, and a graph. Students will distinguish between proportional and non-proportional relationships by comparing patterns in table, funct...
https://education.ti.com/en/activity/detail/examining-patterens-in-a-table-function-rule-and-graphs

F Distribution

Students study the characteristics of the F distribution and discuss why the distribution is not symmetric (skewed right) and only has positive values. Students then use the Fcdf command to find probabilities and to confirm percentiles. They move on to find critical values and then compute a conf...
https://education.ti.com/en/activity/detail/f-distribution_1

Sampling

Students learn about each of the four types of random sampling methods and use the randInt command to find each kind of sample from a given population.
https://education.ti.com/en/activity/detail/sampling_1

Testing Claims About Proportions

Students find z-scores and critical values to test claims about proportions. To verify the results, they find P-values by either finding the area under the curve with the Integral tool, or by using the 1-Prop z Test command.
https://education.ti.com/en/activity/detail/testing-claims-about-proportions_1

Square it Up!

Students investigate the method of least squares by adding the squares to a scatter plot and moving a line to find the minimum sum. Then they compare their line to the built-in linear regression model.
https://education.ti.com/en/activity/detail/square-it-up

Candy Pieces

Students will be introduce to hypothesis testing. Students are given the number of pieces by color in a bag of candy. They are asked if they think the bag could have come from a manufacturing process designed to produce equal proportions of each color. They will then use a chi-square test for goo...
https://education.ti.com/en/activity/detail/candy-pieces_1

Chi-Square Distributions

Students compare the Chi-Square distribution to the standard normal distribution and determine how the Chi-Square distribution changes as they increase the degrees of freedom.
https://education.ti.com/en/activity/detail/chisquare-distributions_1

Cancer Clusters

Students will investigate cancer incidence rates in a number of states. Hypothesis testing is introduced and used along with a two-proportion z-test to compare cancer rates. This activity helps students to determine when a difference in data is actually statistically significant. This should enco...
https://education.ti.com/en/activity/detail/cancer-clusters

Move Those Chains

In this activity, students will explore the Chain Rule. Students are asked to make a conjecture of the derivative of f(x) = (2x + 1)2 based on the Power Rule. They are then asked to graph their derivative function and compare it to the graph of f´(x). They will then examine "true" statements abou...
https://education.ti.com/en/activity/detail/move-those-chains

Complex Roots: A Graphical Solution

In this activity, you will explore the relationship between the complex roots of a quadratic equation and the related parabola's graph.
https://education.ti.com/en/activity/detail/complex-roots-a-graphical-solution