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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

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 Formula and Discriminant

This interactive quiz first steps students through the derivation of the quadratic formula by completing the square, and then generates random quadratics for which students need to show the steps of solving by first finding the value of the discriminant, and then using it in the formula. There ar...
https://education.ti.com/en/activity/detail/quadratic-formula-and-discriminant

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

NASA - Newton's Cool in the Pool

To prepare for spacewalks, astronauts train at NASA's Neutral Buoyancy Laboratory (NBL). NASA also uses the NBL to develop flight procedures and verify hardware compatibility -- all of which are necessary to achieve mission success. In this problem, students are presented with a power outage, in...
https://education.ti.com/en/activity/detail/nasa--newtons-cool-in-the-pool

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 2

Examine the graphical and algebraic representations of a system of inequalities.
https://education.ti.com/en/activity/detail/systems-of-linear-inequalities-2

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

Sums and Difference of Cubes

Factor expressions that are either the sum of cubes or the difference of cubes.
https://education.ti.com/en/activity/detail/sums-and-difference-of-cubes

Elliptical Orbits

This lesson involves generating equations of best fit for an ellipse.
https://education.ti.com/en/activity/detail/elliptical-orbits

Inverse Fun

Investigate inverses of functions.
https://education.ti.com/en/activity/detail/inverse-fun

Standard Form of Quadratic Functions

Use sliders to determine the effect the parameters have upon a quadratic function in standard form.
https://education.ti.com/en/activity/detail/standard-form-of-quadratic-functions

How Many Solutions 2

Recognize that a system of two equations in two variables can have no solution, one or more solutions, or infinitely many solutions.
https://education.ti.com/en/activity/detail/how-many-solutions-2

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

Matrix Inverses

Modify a 2 X 2 matrix being multiplied by another 2 X 2 matrix until their product is the identity matrix.
https://education.ti.com/en/activity/detail/matrix-inverses

Hose Problem

Investigating the behaviour of water jets from a hose. Suitable for Year 10 extension or Year 11 students. Graphing parabolas, features of quadratic functions, regression lines. Using TI-Nspire.
https://education.ti.com/en/activity/detail/hose-problem

Complex Numbers

Students calculate problems from the student worksheet to determine the rules for adding, subtracting, multiplying, and dividing complex numbers.
https://education.ti.com/en/activity/detail/complex-numbers_1

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