Exponential Dice
...ves Students will analyze data determined by a simulation involving tossing dice. Students will find and analyze exponential growth and decay functions. Students will model with mathematics. Students will try to make a connection with how to understand these topics in IB Mathematics...https://education.ti.com/en/ib/activities/applications-interpretation/84-exponential-dice
Too Many Choices
...ents investigate the fundamental counting principle, permutations and combinations. Too Many Choices Planning and Resources Downloads ZIP TooManyChoices.ZIP PDF TooManyChoices_Student.PDF TooManyChoices_Teacher.PDF IB Question.PDF ...https://education.ti.com/en/ib/activities/applications-interpretation/84-too-many-choices
Discrimination of Parabolas
...int, Discriminant, Conjecture About the Lesson Students use an investigative problem solving approach to determine the role of the discriminant for quadratic functions. The discriminant is displayed on the screen and constantly updates as students translate and dilate the parabola. The investigat...https://education.ti.com/en/ib/activities/applications-interpretation/nspire-discrimination-parabola
Concavity
... Calculus Objectives Examine the relationship between the first and second derivative and shape of a function Concavity The students will move a point on a given function and observe the sign of the...https://education.ti.com/en/ib/activities/applications-interpretation/nspire-calculus-concavity
Binomial PDF Eye Color
... Objectives Students will identify a situation involving binomial trials. Students will observe that a binomial distribution is a function of both sample size and the probability of a success. Students will interpret a table of binomial probabilities. Student will answer...https://education.ti.com/en/ib/activities/applications-interpretation/nspire-binomial
Trig Ratios
...d Approaches | Geometry and Trigonometry Trig Ratios Students will use the graphing calculator to discover the relationship between the trigonometric functions of sine, cosine and tangent and the side length ratios of a right triangle. --> Objectives Students will explore sine, ...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-trig-ratios
Maximums, Minimums and Zeros
...e conjectures about the relationships between maximums, minimums and zeroes of a function and its derivative. About the Lesson Downloads ZIP Maximums Minimums and Zeroes.ZIP PDF Teacher Notes.PDF Student Activity.PDF IB Question.PDF ...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-calculus-min-max
Triangle Trigonometry and Circles
...nometry and Circles This lesson involves the ratios of side lengths of triangles with invariant angle measures and the relationships to trigonometric functions of an angle. Objectives Students will understand that trigonometric functions of an angle do not depend on the size of...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-triangle-trig
To Infinity and Beyond
... Flight safety --> About the lesson This activity has three parts. First, students will examine, graphically and numerically, the behavior of functions as the input approaches infinity. Next, they will examine graphically limits that do not exist because of continued chaotic output behavi...https://education.ti.com/en/ib/activities/analysis-approaches/84-to-infinity-beyond
Proof of Identities
...ing, visualizing and proving trigonometric identities. Objectives Students will be able to interpret reciprocal, negative angle, cofunction, and Pythagorean identities in terms of the graphs of the trigonometric functions involved. Students will be able to prove trigonometri...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-proof-of-identities
Exponential Dice
...e of the TI-84 family as an aid to the problems, specifically using Lists and the Probability Simulation App. Exponential Dice Downloads ZIP Exponential-dice.ZIP PDF Student Activity.PDF Teacher Notes.PDF IB Question.PDF DOC St...https://education.ti.com/en/ib/activities/analysis-approaches/84-exponential-dice
Graphing Relationships
...ssion that occurs when working in a small group. Students should be able to understand how the first derivative provides information about where the function is increasing or decreasing and how the second derivative provides information about the concavity of the graph. Many students can underst...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-graphing-relationships
To Infinity and Beyond
... Flight safety --> About the lesson This activity has three parts. First, students will examine, graphically and numerically, the behavior of functions as the input approaches infinity. Next, they will examine graphically limits that do not exist because of continued chaotic output behavi...https://education.ti.com/en/ib/activities/applications-interpretation/84-to-infinity-beyond
Unit Circle
...mme Analysis and Approaches | Geometry and Trigonometry Activity Overview Students discover the relationship between the trigonometric functions of sine, cosine, and tangent and the side length ratios of a right triangle. Unit Circle Key Steps Students engag...https://education.ti.com/en/ib/activities/analysis-approaches/84-unit-circle
Trig Ratios
...riangles with invariant angle measures and the relationships to trigonometric functions of an angle. As a result, students will: Manipulate the radius of a circle to change the dimensions of a triangle with fixed angles and observe the resulting ratios of side lengths. Make and test predi...https://education.ti.com/en/ib/activities/applications-interpretation/84-trig-ratios
Compound Interest
...Analysis and Approaches | Numbers and Algebra Activity Overview This activity involves exploring the formula for compound interest as a function of the initial deposit, interest rate, and the number of pay periods per year. Objectives Students will interpret the variables in ...https://education.ti.com/en/ib/activities/analysis-approaches/84-compound-interest
Discrimination of Parabolas
...int, Discriminant, Conjecture About the Lesson Students use an investigative problem solving approach to determine the role of the discriminant for quadratic functions. The discriminant is displayed on the screen and constantly updates as students translate and dilate the parabola. The investigat...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-discrimination-parabola
Just Move It
...esson In this activity, the movements of the parent functions f(x)= x² and f(x)= x³ will be explored. You will be using the program MoveIt.tns, downloaded on or sent to your handheld by your teacher. On page 1.1 you will see the graph of the parent function f(x)= x² and on page 2.1 you will see t...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-just-move-it
Graphs of Antiderivatives
...or IB® Diploma Programme Analysis and Approaches | Probability and Statistics Activity Overview Students are provided with a series of functions consisting of polynomials, trigonometric and exponential functions and combinations thereof. The equations represent the derivative, stud...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-graphs-antiderivatives
Concavity
... Calculus Objectives Examine the relationship between the first and second derivative and shape of a function Concavity The students will move a point on a given function and observe the sign of the...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-calculus-concavity
Find That Sine
...e the data in the file FindThatSine.tns, which contains the temperatures and hours of sunlight in Kansas City, and the heights of tides in the Bay of Fundy. Students will find the equations of Sine curves that model the given data and answer several questions about what you have found. Find That...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-find-that-sine
Too Many Choices
...ents investigate the fundamental counting principle, permutations and combinations. Too Many Choices Planning and Resources Downloads ZIP TooManyChoices.ZIP PDF TooManyChoices_Student.PDF TooManyChoices_Teacher.PDF IB Question.PDF ...https://education.ti.com/en/ib/activities/analysis-approaches/84-too-many-choices
Find That Sine
...l use the data in the file KANSTEMP.8xp, which contains the temperatures and hours of sunlight in Kansas City, and the heights of tides in the Bay of Fundy. You will find the equations of Sine curves that model the given data and answer several questions about what you have found. Find That S...https://education.ti.com/en/ib/activities/analysis-approaches/84-find-that-sine
Trig Ratios
...s and Approaches | Geometry and Trigonometry Trig Ratios Students will use the Cabri™ Jr. App to discover the relationship between the trigonometric functions of sine, cosine and tangent and the side length ratios of a right triangle. --> Objectives Students will understan...https://education.ti.com/en/ib/activities/analysis-approaches/84-trig-ratios
Graphing Relationships
... Activity Overview In this activity, students explore information about a graph based on the first and second derivatives. They learn that a function's derivative is positive when the function increases and negative when the function decreases. They learn that the second derivative is po...https://education.ti.com/en/ib/activities/analysis-approaches/84-graphing-relationships