Graphing the Tangent to a Curve
Students will graph a function and the graph of the tangent line's slope as a point moves around the curve.https://education.ti.com/en/activity/detail/graphing-the-tangent-to-a-curve
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
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
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
The Slope of the Curve Where Two Points Meet
Students will enter a function and investigate the slope of the secant as it moves closer to becoming a tangent.https://education.ti.com/en/activity/detail/the-slope-of-the-curve-where-two-points-meet
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
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
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
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
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
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
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
Investigating the Graphs of Quadratic Equations
A graph of a quadratic equation will be shown. Also shown is the equation of the parabola in vertex form: y = a*(x - h)^(2) + v. And an ordered pair for one the points on the parabola will be shown on the screen. Use the pointer tool to double click on the equation on the graph screen. This wil...https://education.ti.com/en/activity/detail/investigating-the-graphs-of-quadratic-equations
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
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
Application of Function Composition
Determine the domain and range of two functions and the composite functions.https://education.ti.com/en/activity/detail/application-of-function-composition
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
Factoring Trinomials
Discover how the coefficients of a given trinomial affect the factors.https://education.ti.com/en/activity/detail/factoring-trinomials
Function Composition
Explore the composition of a linear and a quadratic function.https://education.ti.com/en/activity/detail/function-composition