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Inverse Functions

...nd on their final assessments. Vocabulary Inverse Reflection Domain Range About the Lesson In this activity, students will analyze, interpret and apply the graphical and algebraic relationships between a function and its inverse. Inverse Functions Dow...
https://education.ti.com/en/ib/activities/applications-interpretation/84-inverse-functions

3D Surface Area and Volume

...cs lessons for IB® Diploma Programme Applications and Interpretation | Geometry and Trigonometry Objectives Students will analyze and discuss 3D objects and the 2D shapes that make up those objects. Students will unfold 3D objects to aid in finding both the Surface ...
https://education.ti.com/en/ib/activities/applications-interpretation/nspire-3d-surface-area-volume

Sum of Infinite Geometric Series

...a justification for the following theorem: The sum of the infinite geometric series 1/2 + 1/4 + 1/8 + 1/16 + ... = 1. Students will be able to explain why the sum of an infinite geometric series is a finite number if and only if |r| < 1. Vocabulary geometric series infinite series ...
https://education.ti.com/en/ib/activities/applications-interpretation/nspire-sum-infinite-geometric

Optimization

...y to make a connection with how to understand these topics in IB Mathematics courses and on their final assessments. Vocabulary Maximize Minimize Constraint Critical Points About the lesson In this activity, students will learn how to use the s...
https://education.ti.com/en/ib/activities/applications-interpretation/84-optimization

Optimization

...y to make a connection with how to understand these topics in IB Mathematics courses and on their final assessments. Vocabulary Maximize Minimize Constraint Critical Points About the lesson In this activity, students will learn how to use the s...
https://education.ti.com/en/ib/activities/applications-interpretation/nspire-optimization

Cool in the Pool

... due to a power failure and determine how long it will take for the water in the pool to reach ambient temperature. Objectives Students will analyze temperature-loss data graphically; use Newton's Law of Cooling to predict temperature loss; solve the Newton’s Law of Cooling formula for ...
https://education.ti.com/en/ib/activities/applications-interpretation/nspire-nasa

Which Garage Is Better?

...ssessments Vocabulary linear system piecewise function About the lesson This activity uses the TI-84 family handhelds as an aid to the problems, specifically graphing and analyzing piecewise and linear functions. This activity serves as a good lesson to culminate solving...
https://education.ti.com/en/ib/activities/analysis-approaches/84-which-garage

Dynagraphs

...dents will utilize the input and output of a function to determine its rule. Students will discover conditions that would restrict a function's domain. Students will understand that a composition utilizes the output of the inside function as the input of the outside function. Students wi...
https://education.ti.com/en/ib/activities/applications-interpretation/nspire-precalculus-dynagraphs

Which Garage Is Better?

...ssessments Vocabulary linear system piecewise function About the lesson This activity uses the TI-84 family handhelds as an aid to the problems, specifically graphing and analyzing piecewise and linear functions. This activity serves as a good lesson to culminate solving...
https://education.ti.com/en/ib/activities/applications-interpretation/84-which-garage

3D Surface Area and Volume

...s lessons for IB® Diploma Programme Applications and Interpretation | Geometry and Trigonometry Objectives Students will analyze and discuss 3D objects and the 2D shapes that make up those objects. Students will unfold 3D objects to aid in finding both the Surface ...
https://education.ti.com/en/ib/activities/applications-interpretation/84-3d-surface-area-volume

Inverse Functions

...nd on their final assessments. Vocabulary Inverse Reflection Domain Range About the Lesson In this activity, students will analyze, interpret and apply the graphical and algebraic relationships between a function and its inverse. Inverse Functions Dow...
https://education.ti.com/en/ib/activities/applications-interpretation/nspire-inverse-functions

Chi-Squared Tests

...problem situation that involves categorical data and will determine which is the appropriate chi-square test to use. Objectives Students will recognize that chi-squared tests are for counts of categorical data. Students will identify the appropriate chi-squared test to use for a given situation:...
https://education.ti.com/en/ib/activities/applications-interpretation/nspire-chi-square-tests

Application of Function Composition

...tions. As a result, students will: Interpret relationships between domain and range of two functions that produce a composite function. Analyze the data from a table that is generated from a model of a real-life situation that represents a composite function. Summarize the relationsh...
https://education.ti.com/en/ib/activities/applications-interpretation/nspire-application-function-composition

Profits equations and calculus

...hips between a function and its first and second derivatives, namely a profit function. Students will use their knowledge of Optimization to maximize profits or minimize losses. Students will use Integration to find a profit function given its rate of change. Students will try to make a ...
https://education.ti.com/en/ib/activities/applications-interpretation/nspire-profit-equations-calculus

Profits equations and calculus

...hips between a function and its first and second derivatives, namely a profit function. Students will use their knowledge of Optimization to maximize profits or minimize losses. Students will use Integration to find a profit function given its rate of change. Students will try to make a ...
https://education.ti.com/en/ib/activities/applications-interpretation/84-profit-equations-calculus

Exploring Geometric Sequences

...iables, first term and common ratio, of a geometric sequence gives students a deeper understanding of their behavior. A spreadsheet of the terms is available on page 3.2 to investigate the behavior numerically. Step 2 Students will examine the derivation of the sum of a finite geome...
https://education.ti.com/en/ib/activities/applications-interpretation/nspire-exploring-geometric-sequences

Summing Up Geometric Series

Summing Up Geometric Series apcalculus website Mathematics lessons for IB® Diploma Programme Applications and Interpretation | Numbers and Algebra Summing Up Geometric Series In this activity, stud...
https://education.ti.com/en/ib/activities/applications-interpretation/84-summing-up-geometric-series

Too Many Choices

Too Many Choices apcalculus website Mathematics lessons for IB® Diploma Programme Applications and Interpretation | Statistics and Probability Too Many Choices Students investigate the fundamental ...
https://education.ti.com/en/ib/activities/applications-interpretation/84-too-many-choices

Graphing Calculators Are Now Approved for the AP® Biology Exam, but What Else Can I Do With Them?

...ing style. This example shows how the stomata of a leaf would react based on wavelengths of light. This example shows how certain alleles are selected in various populations and in different environmental conditions. Science Practice: The student can use mathemat...
https://education.ti.com/en/bulletinboard/2019/april/graphingcalculatorsapproved

Building a Band With Famous Mathematicians

...ts (the small bars of metal across the fingerboard) on a guitar. “So I imagine it as Pythagoras was the very first rock ’n’ roll guitar hero,” Sword said. Euclid lays down the band’s beat because his algorithm for distributing a certain number of objects over a certain number of spaces creates rh...
https://education.ti.com/en/bulletinboard/2019/june/music-in-math

Trig Ratios

Trig Ratios apcalculus website Mathematics lessons for IB® Diploma Programme Analysis and Approaches | Geometry and Trigonometry Trig Ratios Students will use the graphing calculator to discover t...
https://education.ti.com/en/ib/activities/analysis-approaches/nspire-trig-ratios

Application of Function Composition

...tions. As a result, students will: Interpret relationships between domain and range of two functions that produce a composite function. Analyze the data from a table that is generated from a model of a real-life situation that represents a composite function. Summarize the relationsh...
https://education.ti.com/en/ib/activities/analysis-approaches/nspire-application-function-composition

Tower of Hanoi

Tower of Hanoi apcalculus website Mathematics lessons for IB® Diploma Programme Analysis and Approaches | Numbers and Algebra Tower of Hanoi Legend has it that the world will end when the puzzle is...
https://education.ti.com/en/ib/activities/analysis-approaches/nspire-tower-hanoi

Exponential Dice

...life simulation exponential growth function doubling time About the Lesson This activity is done with the use of the TI-84 family as an aid to the problems, specifically using Lists and the Probability Simulation App. Exponential Dice Downloads ZIP Expo...
https://education.ti.com/en/ib/activities/analysis-approaches/84-exponential-dice

Vectors in Component Form

...One of these representations involves expressing a vector r in terms of unit vectors i and j. This is known as component form and is expressed as r = ai + bj. A tns file is provided to students for this activity to allow them to become familiar with this form of vector notation. About the Lesson ...
https://education.ti.com/en/ib/activities/analysis-approaches/nspire-vectors-component-form