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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

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

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

Permutations

Students are led through the development of the formula for finding n objects taken n at a time and then n objects taken r at a time.
https://education.ti.com/en/activity/detail/permutations_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

Parabolic Paths

Manipulate the equation of a quadratic function so that its graph passes through a particular point.
https://education.ti.com/en/activity/detail/parabolic-paths

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

Properties of Parabolas

This investigation offers an approach to show students the basic definition of a parabola as the locus of all points equidistant from a fixed point (focus) and a fixed line (directrix). Students will also interpret the equation for a parabola in vertex form and gain a visual understanding of a pa...
https://education.ti.com/en/activity/detail/properties-of-parabolas

Particle Motion1

This lesson involves the motion of a particle along a straight, horizontal line.
https://education.ti.com/en/activity/detail/particle-motion1

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

Summing up Geometric Series

This lesson involves clicking on a slider to see that the area of a square that has been systematically divided into an infinite number of pieces approaches 1.
https://education.ti.com/en/activity/detail/sum-of-infinite-geometric-series

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

Outbreak

Students explore a geometric sequence related to an outbreak of the flu, extrapolate to make predictions based on given data, and apply summation notation to determine the sum of any number of terms, n, in a series.
https://education.ti.com/en/activity/detail/outbreak

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

Quadratic Functions and Stopping Distance

Analyze data in real-life applications of the quadratic function.
https://education.ti.com/en/activity/detail/quadratic-functions-and-stopping-distance

Remember When

In this activity, students will model the relationship between the year and average income, average price of a house, and average price of a car using exponential functions. Then students will answer questions related to the models to gain a deeper understanding of exponential functions.
https://education.ti.com/en/activity/detail/remember-when

Compound Interest

This lesson involves exploring the formula for compound interest as a function of the initial deposit, interest rate, and the number of pay periods per year.
https://education.ti.com/en/activity/detail/compound-interest

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

Modeling with a Quadratic Function

In this lesson, students use a quadratic function to model the flight path of a basketball. Students will interpret the parameters of the quadratic model to answer questions related to the path of the basketball.
https://education.ti.com/en/activity/detail/modeling-with-a-quadratic-function

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

Systems of Linear Inequalities 1

Solutions to a system of linear inequalities is the intersection of each of the corresponding half planes.
https://education.ti.com/en/activity/detail/systems-of-linear-inequalities-1

Areas of Polygons

Use determinants of matrices as a tool to find the areas of triangles and quadrilaterals.
https://education.ti.com/en/activity/detail/areas-of-polygons