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
Power Function Inverses
Examine the graphs of power functions with even and odd integer powers.https://education.ti.com/en/activity/detail/power-function-inverses
Polynomials: Factors, Roots and Zeroes
Investigate graphical and algebraic representations of a polynomial function and its linear factors.https://education.ti.com/en/activity/detail/polynomials-factors-roots-and-zeroes
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
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 Function Elevator
This lesson involves creating and comparing graphical representations of position and velocity functions from a scenario.https://education.ti.com/en/activity/detail/the-function-elevator
Laws of Sines and Cosines - IB
Students explore the proofs of the Laws of Sine and Cosine, investigate various cases where they are utilized, and apply them to solve problems.https://education.ti.com/en/activity/detail/laws-of-sines-and-cosines_ns_ib
Polar Point Plotting
The student will be given a brief overview of the Polar Coordinate system. Students will be able to manipulate the radius of a polar point while graphing it on the plane or manipulate the angle and see the polar coordinate graphed on the plane. This activity is meant as an introduction to polar p...https://education.ti.com/en/activity/detail/polar-point-plotting
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
Compositions Graphically
Students will use graphs and tables to find compositions of functions. Two of the compositions presented in this activity represent real-world situations, which should aid in students understanding the concept of compositions.https://education.ti.com/en/activity/detail/compositions-graphically
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
Zeros of Polynomials
Students graph polynomials to determine the value and number of zeros for a given polynomial.https://education.ti.com/en/activity/detail/zeros-of-polynomials
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
Maximizing the Area of a Garden
In this activity, students explore the area of a garden with a rectangular shape that is attached to a barn. Exactly three sides of the garden must be fenced. Students will sketch possible gardens and enter their data into a spreadsheet.https://education.ti.com/en/activity/detail/maximizing-the-area-of-a-garden
Graphing Exponentials
Investigate the graphs of the family of exponential functions.https://education.ti.com/en/activity/detail/graphing-exponentials
Graph Logarithms
Investigate the graphs of a family of logarithm functions by changing the a-value over the internal 0 to 4.https://education.ti.com/en/activity/detail/graph-logarithms
Transformations: Translating Functions
Translate different types of function graphs using sliders.https://education.ti.com/en/activity/detail/transformations-translating-functions
Exploring Power Functions 1
Examine the graphs of power functions with even and odd positive integer exponents.https://education.ti.com/en/activity/detail/exploring-power-functions-1
When Is Tangent, tangent?
This activity combines the ideas of unit circle, and a line tangent to the unit circle to explain how Tangent (the trig. ratio) is related to the concept of tangent to a figure (from geometry). The intent is to briefly explore the mathematical history of the trigonometric ratio "tangent" through ...https://education.ti.com/en/activity/detail/when-is-tangent-tangent
Advanced 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/advanced-algebra-nomograph
Functions and Inverses
Grab and drag a point along graphs of different functions to determine the relationship of ordered pairs.https://education.ti.com/en/activity/detail/functions-and-inverses
The Park Problem
The goal of this activity is for students to see a real world application of a minimization problem. Students have to determine where to place a track inside a park to minimize the total distance of the track in Lazy Town.https://education.ti.com/en/activity/detail/the-park-problem
Families of Functions
Change sliders and observe the effects on the graphs of the functions.https://education.ti.com/en/activity/detail/families-of-functions