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
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
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
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
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
Completing the Square Algebraically
Complete the square algebraically to rewrite a quadratic expression.https://education.ti.com/en/activity/detail/completing-the-square-algebraically
Graphing Exponentials
Investigate the graphs of the family of exponential functions.https://education.ti.com/en/activity/detail/graphing-exponentials
Completing the Square
Complete the square in an algebraic expression.https://education.ti.com/en/activity/detail/completing-the-square
Linear-Quadratic Inequalities
Explore the solutions of a linear-quadratic and quadratic-quadratic system of inequalities.https://education.ti.com/en/activity/detail/linearquadratic-inequalities
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
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
Exponential Growth and Decay
This activity is a few word problems that involve some formulas that use exponential growth and decay.https://education.ti.com/en/activity/detail/exponential-growth-and-decay
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
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
Why is the Sky Blue and When Will We Ever Use This?
Have you ever tried to come up with a real life example for a rational function with an exponent to the negative four? Have you ever wondered why the sky is blue? Here is a short example of the uses of a rational function.https://education.ti.com/en/activity/detail/why-is-the-sky-blue-and-when-will-we-ever-use-this
Exponential vs. Power
Compare rates of growth between an exponential function and a power function for positive x-values.https://education.ti.com/en/activity/detail/exponential-vs--power
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
Function Composition
Explore the composition of a linear and a quadratic function.https://education.ti.com/en/activity/detail/function-composition
The Factor Connection
In this activity, students will explore the connection between linear factors and quadratic functions. Transformations of quadratic functions will be used to develop and enhance the connection between factors, zeros, and graphs. It will make full use of the dynamic ability to manipulate graphs...https://education.ti.com/en/activity/detail/the-factor-connection
Solving Exponential Equations
Numeric, graphical and algebraic solutions to an exponential equation.https://education.ti.com/en/activity/detail/solving-exponential-equations
Elliptic Variations
This lesson involves exploring the curves that result from varying the defining conditions of an ellipse.https://education.ti.com/en/activity/detail/elliptic-variations