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How to Animate Graphs Part 1

Animating graphs, adding styles and coloring a graph.
https://education.ti.com/en/activity/detail/how-to-animate-graphs-part-1

How Cool It Is

This lesson involves creating an exponential regression equation to model the temperature of water as it cools.
https://education.ti.com/en/activity/detail/how-cool-it-is_2

Solving Inequalities Graphically

Students will solve inequalities graphically by setting bounds on the graph that represent the portions of the graph that satisfy the inequality. Each of the inequalities presented in this activity represent real-world situations, which should aid in students understanding the concept of inequali...
https://education.ti.com/en/activity/detail/solving-inequalities-graphically

From 0 to 180 - Rethinking the Cosine Law with Data

The goal of this activity is for students to experience a data-driven, inductive investigation leading to the cosine law. This could be used in addition to or instead of the traditional proof to deepen the understanding of the behavior of triangles and make the concepts more accessible to more s...
https://education.ti.com/en/activity/detail/from-0-to-180--rethinking-the-cosine-law-with-data

Slope and Tangent

This lesson provides opportunities for students to explore the connections between the slope of a line and the tangent of the angle between the line and the horizontal.
https://education.ti.com/en/activity/detail/slope-and-tangent

Focus/Directrix Definition of Conics

This lesson involves observing and describing relationships between the focus and the directrix of each conic: parabolas, ellipses, and hyperbolas.
https://education.ti.com/en/activity/detail/focusdirectrix-definition-of-conics

Graphing Quadratic Functions

Students graph quadratic functions and study how the variables in the equations compare to the coordinates of the vertices and the axes of symmetry in the graphs.
https://education.ti.com/en/activity/detail/graphing-quadratic-functions

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

Sine and Cosine Identities

Students will explore the relationship between the measure of an angle and its sine and cosine. Students will develop two trigonometric identities: sinA / cosA= tanA sin2A + cos2A = 1
https://education.ti.com/en/activity/detail/sine-and-cosine-identities

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

Graphs of Sine and Cosine

The goal of this activity is for students to see how the graphs of sine and cosine 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.
https://education.ti.com/en/activity/detail/graphs-of-sine-and-cosine

How Much Does Bubble Gum Stretch a Rubber Band?

Students will conduct an experiment where they determine how much various quantities of bubble gum affect the length of a rubber band.
https://education.ti.com/en/activity/detail/how-much-does-bubble-gum-stretch-a-rubber-band

Graph Sine and Cosine

Student will use the unit circle coordinates and angles to create the data that they will use to graph the sine and cosine functions and show the data is on the graph of them. The students will move a point in a graph to manually collect the data needed to make the graph. They will edit spreads...
https://education.ti.com/en/activity/detail/graph-sine-and-cosine

Properties of Logarithms - IB

In this activity, students will compare logarithmic properties to their exponential counterparts.
https://education.ti.com/en/activity/detail/properties-of-logarithms

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

Proof of Identity

Students use graphs to verify the reciprocal identities. They then use the handheld's manual graph manipulation feature to discover the negative angle, cofunction, and Pythagorean trigonometric identities. Geometric proofs of these identities are given as well.
https://education.ti.com/en/activity/detail/proof-of-identity_1

Graphs of Linear Functions

Students investigate the connections between the points on a line and the equation of the line written in slope-intercept form.
https://education.ti.com/en/activity/detail/graphs-of-linear-functions

Probability of Repeated Independent Events

Investigate probability by simulating tossing a coin three times.
https://education.ti.com/en/activity/detail/probability-of-repeated-independent-events_1

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

Parabola Construction

Students will construct a parabola using the focus and directrix definition. An extension problem has students explore how the location of the focus with respect to the directrix affects the shape of the parabola.
https://education.ti.com/en/activity/detail/parabola-construction_1

Polar Conics

This lesson involves exploration of polar equations for conic sections.
https://education.ti.com/en/activity/detail/polar-conics

Radical Transformations

Students will use sliders to examine how the square root function is transformed on the coordinate plane.
https://education.ti.com/en/activity/detail/radical-transformations_1

The Unit Circle

Students will be able to describe the relationship between the unit circle and the sine and cosine functions. They will be also able to describe the shape of the sine and cosine curves after "unwrapping" the unit circle.
https://education.ti.com/en/activity/detail/the-unit-circle

The Slope of the Curve Where Two Points Meet

Students will enter a function and investigate the slope of the secant as it moves closer to becoming a tangent.
https://education.ti.com/en/activity/detail/the-slope-of-the-curve-where-two-points-meet

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