Properties of Matrices
Students will learn three properties of matrices by following this activity.https://education.ti.com/en/activity/detail/properties-of-matrices
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
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
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
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
Modeling Engine Power
In this activity, students use the TI-Nspire handheld to determine if a linear model or a quadratic model best fits a set of given data involving engine power. Students look at the pattern of data points and the sum of squares of the deviations to determine which model fits the data.https://education.ti.com/en/activity/detail/modeling-engine-power
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
Have You Lost Your Marbles?
In this activity, students will create a bridge between two chairs and use a slinky to attach a bucket to the bridge. Students will add objects to the bucket and determine the relationship between the number of items added and the distance from the floor.https://education.ti.com/en/activity/detail/have-you-lost-your-marbles
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
Max Area, Fixed Perimeter
The student will use a rectangle of fixed perimeter to find the dimensions of the rectangle of maximum area.https://education.ti.com/en/activity/detail/max-area-fixed-perimeter
Combinations
This activity introduces students to combinations. They derive the formula for the number of combinations of n objects taken r at a time by starting with a list of permutations and eliminating those that name the same group, just in a different order. From here they see how the number of combinat...https://education.ti.com/en/activity/detail/combinations
Living on the Edge
Students build a solution to a rather complex problem: Finding the edge length of an octahedron given its volume by solving two simpler problems first.https://education.ti.com/en/activity/detail/living-on-the-edge_1
Linear Inequalities
Linear programming is a technique used to solve problems that are encountered in business and industry. These problems usually involve maximizing or minimizing profit or expenses. The solution will consist of graphing the region that satisfies all the inequalities. The solution will produce a fea...https://education.ti.com/en/activity/detail/linear-inequalities
Calculations at the Crazy Cookie Company
Performing matrix multiplication for the first time, students are prompted to use reasoning skills to determine if matrix products are possible for given pairs of matrices. The tutorial leads them through matrix product operations to find rules for matrix multiplication and predicting dimensions ...https://education.ti.com/en/activity/detail/calculations-at-the-crazy-cookie-company
Dilations with Matrices
In this activity, students will use matrices to perform dilations centered at the origin of triangles. Students will explore the effect of the scale factor on the size relationship between the preimage and image of a polygon.https://education.ti.com/en/activity/detail/dilations-with-matrices_1
Constructing an Ellipse
Students will explore two different methods for constructing an ellipse. Students discover that the sum of the distances from a point on an ellipse to its foci is always constant. This fact is then used as the basis for an algebraic derivation of the general equation for an ellipse centered at th...https://education.ti.com/en/activity/detail/constructing-an-ellipse_1
Duckweed: Exponential Growth
Students will count the fronds of duckweed for nine days to observe the growth phase. Students will need one class period to start the experiment and one day for the final work and 15 minutes per day between start and finish.https://education.ti.com/en/activity/detail/duckweed--exponential-growth
Application of Polynomials
Students use the volume formula to find cubic polynomials in order to determine the dimensions of four different-size boxes used for packaging trash bags.https://education.ti.com/en/activity/detail/application-of-polynomials
Application of Linear Systems
Students will solve a real-world problem about parking cars and buses using a system of linear inequalities.https://education.ti.com/en/activity/detail/application-of-linear-systems
Analyzing an Electricity Bill
This investigation guides the students through using a piecewise function to model an electric bill.https://education.ti.com/en/activity/detail/analyzing-an-electricity-bill