Perpendicular Slopes
Students investigate the 'negative reciprocal' relationship between the slopes of perpendicular lines. The final phase of the activity is appropriate for more advanced students as they are led through an algebraic proof of the relationship. Optional geometric activities (problems 5 and 6 of the ....https://education.ti.com/en/activity/detail/perpendicular-slopes
Applications of Equations
Students will apply equations to a real-world problem about the number of people attending a museum. They will study the parts of an equation that represents the situation. Then, students will use a dynamic model to find the solution to the equation and interpret what the result means in the real...https://education.ti.com/en/activity/detail/applications-of-equations
Back In Time?
Students will explore the definition of a function through use of a graph, a set of ordered pairs, and an input-output diagram.https://education.ti.com/en/activity/detail/back-in-time_1
Interior Angles of Polygons
In the following activity, students discover the rule for finding the number of total degrees in the angles of a polygon. Students will use both the TI-Nspire and student worksheet to find the rule and will apply it in predictions.https://education.ti.com/en/activity/detail/interior-angles-of-polygons_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
Transformations of Functions 1
This lesson investigates vertical and horizontal translations of a function.https://education.ti.com/en/activity/detail/transformations-of-functions-1
Zeros of a Quadratic Function
Merge graphical and algebraic representations of a quadratic function and its linear factors.https://education.ti.com/en/activity/detail/zeros-of-a-quadratic-function
What's Right about Triangles
This lesson involves examining a visual proof of the Pythagorean Theorem and supporting what happens geometrically.https://education.ti.com/en/activity/detail/whats-right-about-triangles
Definition of Functions
This lesson involves examining relationships and functions and their inputs, outputs, domains, and ranges.https://education.ti.com/en/activity/detail/definition-of-functions
Equations from Unit Rates
This lesson involves finding a linear equation and confirming the equation represents a proportional relationship with numeric values in ordered pairs or in functions tables.https://education.ti.com/en/activity/detail/equations-from-unit-rates
Statistical Inference: Confidence Intervals
The students will construct 1-proportion confidence intervals. This lesson begins by having the students construct a confidence interval with the formula and then leads them through the steps needed to use the Nspire's statistical applications to construct confidence intervals. Students would do ...https://education.ti.com/en/activity/detail/statistical-inference-confidence-intervals
Inverse Variation
Students explore multiple representations of the inverse variation function, beginning with a geometric representation (a rectangle with fixed area), and progressing to a table of values, an algebraic expression, and finally a graph.https://education.ti.com/en/activity/detail/inverse-variation
Polar Graphs
Relate polar coordinates to rectangular coordinates and plot polar functions.https://education.ti.com/en/activity/detail/polar-graphs
Mean Value Theorem
Calculate slopes of secant lines, create tangent lines with the same slope, and note observations about the functions and slopes.https://education.ti.com/en/activity/detail/mean-value-theorem_1
Maximums, Minimums, and Zeroes
Determine when a function has a maximum or minimum based on the derivative of the function.https://education.ti.com/en/activity/detail/maximums-minimums-and-zeroes
Natural Logarithm
Construct the graph of the natural logarithm function from its definition.https://education.ti.com/en/activity/detail/natural-logarithm
NASA:Taking a Walk in the Neuroscience Laboratories
Within the Neuroscience Laboratories, many different functions are tested. For example, researchers in the Motion Laboratory focus on the post-flight disturbances in balance and gait control—areas with which many astronauts struggle. This laboratory develops training programs that will faci...https://education.ti.com/en/activity/detail/nasa--taking-a-walk
MVT for Integrals
Demonstrate how the average value of a function over an interval is related to the definite integral.https://education.ti.com/en/activity/detail/mvt-for-integrals
The Second Fundamental Theorem of Calculus
Students make visual connections between a function and its definite integral.https://education.ti.com/en/activity/detail/the-second-fundamental-theorem-of-calculus_1
The First Fundamental Theorem of Calculus
Make visual connections between a function and its definite integral.https://education.ti.com/en/activity/detail/the-first-fundamental-theorem-of-calculus_1
The First Fundamental Theorem of Calculus
Make visual connections between a function and its definite integral.https://education.ti.com/en/activity/detail/the-first-fundamental-theorem-of-calculus
The Mean Value Theorem
Students are presented with a several examples of functions to discover the hypotheses and conclusion of the Mean Value theorem. They will explore the concept of continuity and differentiability as related to the Mean Value Theorem.https://education.ti.com/en/activity/detail/the-mean-value-theorem
Volume by Cross Sections
Students will be introduced to the concept of finding the volume of a solid formed by cross sections of a function that form certain shapes.https://education.ti.com/en/activity/detail/volume-by-cross-sections_1
Exponential Growth
The purpose of this exploration is to investigate properties of exponential functions including the relationship between the graphical and algebraic forms of the functions.https://education.ti.com/en/activity/detail/exponential-growth
Second Derivative Grapher
Visualize the relationship between the graph of a function and the graph of its second derivative.https://education.ti.com/en/activity/detail/second-derivative-grapher