Proving Angles Congruent
In this activity students will be introduced to proofs, including 2-column proofs, paragraph proofs and flow-proofs. They will also look at different diagrams to decide what the diagram is telling them and what they can infere. They will also look at complementary, supplementary, adjacent and v...https://education.ti.com/en/activity/detail/proving-angles-congruent_1
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 Parallel Lines and Angles
Students will explore the relationships between pairs of angles formed when two parallel lines are cut by a transversal. They will identify special pairs of angles, measure all the angles formed by two parallel lines cut by a transversal, and then look for patterns among the measures.https://education.ti.com/en/activity/detail/exploring-parallel-lines-and-angles
Can I Make a Triangle?
This TI-Nspire activity is for the Triangle Inequality Theorem. There are 3 problems that contain 3 segments each. The student tries to make triangles with these segments. They compare the lengths of the shortest to the length of the longest to see if the inequality is true or false. For the...https://education.ti.com/en/activity/detail/can-i-make-a-triangle
Minimizing Surface Area of a Cylinder Given a Fixed Volume
Students will discover the relationship between radius and height of a cylinder so that surface area of a cylinder can be minimized while maintaining a fixed volume. This is just an introduction to a project that they will begin after this investigation. Once this is completed, they will redesig...https://education.ti.com/en/activity/detail/minimizing-surface-area-of-a-cylinder-given-a-fixed-volume
Supplements and Complements
The attached files contain a supplementary angle and complementary angle for students to explore. They are asked which point changes the measure of the angle. They can move various parts of the construction. The files are designed to be used with your current instructional materials.https://education.ti.com/en/activity/detail/supplements-and-complements
Soda Problem: Finding the relationship between Sodium and Sugar
The students will use nutrition label data of certain sodas to create and analyze a scatterplot of the amount of sodium versus the amount of sugar in various soft drinks. They will put the data into lists, create scatterplots, discuss correlations, acquire the line of best fit, and predict other...https://education.ti.com/en/activity/detail/soda-problem-finding-the-relationship-between-sodium-and-sugar
Ratios of Similar Triangles
In this activity, students will explore two ways of comparing side lengths of similar triangles. They will calculate ratios and change the triangles to see how the ratio changes. Then they will write proportions using the ratios.https://education.ti.com/en/activity/detail/ratios-of-similar-triangles_1
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
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/algebra-nomograph
Exploring Probability with Dice and Test Scores
1. In this activity students will investigate probabilities of independent events and interpret the probabilities they calculate. 2. At the 8th grade level, this activity can be used to solve simple problems involving probability and compare probabilities of events.https://education.ti.com/en/activity/detail/exploring-probability-with-dice-and-test-scores
Dice Rolling and Probability
Students will utilize the Spreadsheet and Data and Statistics applications in the TI-Nspire handheld. They will create randomly generated data and will plot it in a Dot Plot to recognize relative frequency of outcomes.https://education.ti.com/en/activity/detail/dice-rolling-and-probability
Composite Rectangular Figures
Students will find the perimeter and area of a composite rectangular figure. They will explain how to find the measures (lengths) of unknown sides as well as the area of the entire polygon by dividing the figure into smaller rectangular figures.https://education.ti.com/en/activity/detail/composite-rectangular-figures
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
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
Linear Inequalities
Students first look at tables of values to see that inequalities are true for some values of the variable and not for others. They then graph simple inequalities, comparing the handheld output with graphs they create on paper. The last two problems have students solve one-step linear inequalities...https://education.ti.com/en/activity/detail/linear-inequalities
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
Comparing Prices
Students will compare average U.S. gasoline prices per gallon for two years. Then they will use the mean and standard deviation (SD) and the median and interquartile range (IQR) to measure the center and spread of price data.https://education.ti.com/en/activity/detail/comparing-prices
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
But What Do You Mean?
... a spreadsheet and the mean command). Students also use these methods to find the mean when given the frequencies of each number in a list. Lastly, they discover that the same method can be used to find the weighted mean of a set of numbers. An optional extension has students explore how to calcu...https://education.ti.com/en/activity/detail/but-what-do-you-mean
Difference Between Two Proportions
Students use confidence intervals to estimate the difference of two population proportions. First they find the intervals by calculating the critical value and the margin of error. Then, they use the 2-propZInterval command. Students find confidence intervals for differences in proportions in rea...https://education.ti.com/en/activity/detail/difference-between-two-proportions_1
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
Independence Is the Word
Students use a simulation to find the experimental probability of independent events. They will find the sample space and then compare the experimental and theoretical probabilities.https://education.ti.com/en/activity/detail/independence-is-the-word