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Module 13 - Extreme Values of Functions

... The graph below, shown in a [-4, 2, 1] x [-2, 20, 2] window, supports the conclusions.   Lesson 2  Answer 1 13.2.1 The local maximum is approximately y = -0.036 when x -1.126. The local minimum is approximately y = -2.639 when x 0.559.   Lesson 3  Answer 1 13.3.1 The first ...
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TI-84 Plus Lesson – Module 13.4: TI-84 Min/Max Feature | TI

...;} .coltext{width:300px;padding: 1px 0px 0px 50px;} .techtext{padding: 14px 4px 4px 4px;} The TI-84 has features in the CALCULATE menu that approximate maximums and minimums. In this lesson you will use these features and compare results with local extrema found in previous lessons. Alt...
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TI-84 Plus Lesson – Module 13.2: The First Derivative Test | TI

...ero of f ' that is about 0.5, so the first derivative test says that the function f has a local minimum at this value of x. The zeros of f ' may be approximated using the CALCULATE menu's Zero feature.       The zero that is a little less than -1 is approximately -1.126 and the other zero ...
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TI-84 Plus Lesson – Module 13: Extreme Values of Functions | TI

...ns A calculator-generated graph is often useful in locating extreme values of a function. There are built-in calculator features that approximate maximum and minimum values of a function. However, calculus tools, such as the first and second derivatives, should be used to confirm ...
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TI-84 Plus Lesson – Module 13.3: The Second Derivative Test | TI

...trema of f(x) = x3 - 2x - 2cos x In Lesson 13.2 we found the local extrema of f(x) = x3 - 2x - 2cos x using the first derivative test. Now we will apply the second derivative test to the problem. Set Y1=X^3 - 2X - 2 cos(X) and Y2= 6X + 2 cos(X), which is the second derivative of Y1....
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TI-89 Lesson – Module 16: Fundamental Theorem of Calculus | TI

...damental Theorem of Calculus. Although you will discover this theorem in the context of finding areas under a curve, it is used in a wide variety of applications extending far beyond finding areas. Lesson index 16.1: Area Functions, A Symbolic Approach 16.2: Area Functions, A Visual Approa...
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TI-89 Lesson – Module 16.3: Fundamental Theorem of Calculus | TI

... discovered the Fundamental Theorem in the context of finding areas under a curve but a more general version of this theorem can be proved without an appeal to area. The following is a restatement of the Fundamental Theorem. If f is continuous on [a, b], then the function has a derivative...
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Top 10 Books for Every Teacher’s Summer Reading List

... We polled some of our favorite educators for the books they turn to for inspiration. Below are our top 10 books, with high SPF (summer professional fun) levels, to dive into this summer. Take a cue from summer assignments to students and create your own summer reading list for professio...
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Sines of Spring Sweepstakes | Texas Instruments

...e Coral-ation and Measure Mint. We will randomly select 5 winners for each week’s color. The contest runs March 10 –30, 2024. *Terms and conditions apply. See sweepstakes rules for details. Sines of Spring Sweepstakes--> --> Sines of Spring Sweepstakes 2024 Sines of Sprin...
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Designing Your Classroom With Purpose

...lement your curriculum. As I prepare for a new year, the first thing that always pops into my mind is my classroom: the setup, the layout, the functionality, the organization … and, of course, the aesthetic. I want every square inch to serve as a resource or reference for my students. And ...
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How To Use the TI-84 Plus Family of Graphing Calculators To Succeed on the ACT®

...tion app on the TI-84 Plus CE provides an illustration of the movement that changing the value of b has on the graph. Here are the steps to graph the function using the Transformation app: Press Œ} and choose the Transfrm to start the app running. Press o and enter the function in the problem...
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Function, or Not a Function?

Function, or Not a Function? apcalculus website Mathematics lessons for IB® Diploma Programme Applications and Interpretation | Functions Activity Overview In this lesson, students...
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Investigating the Derivatives of Some Common Functions

Investigating the Derivatives of Some Common Functions apcalculus website Mathematics lessons for IB® Diploma Programme Applications and Interpretation | Calculus Activity Overview I...
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Inverse Functions

Inverse Functions apcalculus website In this activity, students will apply inverse functions to real world situations including temperature and money conversions. Inverse Functions ...
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Optimization

...ems and solve optimization in functions and parametric functions. Optimization Mathematics lessons for IB® Diploma Programme Applications and Interpretation | Calculus .two-columns { display: grid; grid-template-columns: auto auto; } Optimization Obje...
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Rational Functions

...s of linear functions. *NEW/UPDATED Rational Functions Planning and Resources Mathematics lessons for IB® Diploma Programme Applications and Interpretation | Functions .two-columns { display: grid; grid-template-columns: auto auto; } Rational Functio...
https://education.ti.com/en/ib/activities/applications-interpretation/nspire-rational-functions

Inverse Functions

Inverse Functions apcalculus website In this activity, students will apply inverse functions to real world situations including temperature and money conversions. Inverse Functions ...
https://education.ti.com/en/ib/activities/applications-interpretation/nspire-inverse-functions

Families of Functions

Families of Functions apcalculus website Mathematics lessons for IB® Diploma Programme Applications and Interpretation | Functions Activity Overview   This lesson involves changing the...
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Rational Functions

...e form y = 1/(x - a). *NEW/UPDATED Rational Functions Planning and Resources Mathematics lessons for IB® Diploma Programme Applications and Interpretation | Functions .two-columns { display: grid; grid-template-columns: auto auto; } Rational Functio...
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Back in Time

...ulus website Mathematics lessons for IB® Diploma Programme Applications and Interpretation | Functions .two-columns { display: grid; grid-template-columns: auto auto; } Back in Time? Obj...
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Gradient of a Function

Gradient of a Function apcalculus website Mathematics lessons for IB® Diploma Programme Applications and Interpretation | Calculus Objectives Interpret the derivative as the slope or ...
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Applications and Interpretation

...ave scatter plots whose points form a straight line. Arithmetic Sequences and Series Students will explore the definition of a function through use of a graph, a set of ordered pairs and an input-output diagram. *NEW/UPDATED Back in Time Students wil...
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Graphing Calculators Are Now Approved for the AP® Biology Exam, but What Else Can I Do With Them?

... be used by students to explore all aspects of mathematics and how math can be used to explain phenomena. Whether by graphs, calculations, equations, functions or data, these tools should be used to help students better understand the world around them with the power of mathematics. From a biolog...
https://education.ti.com/en/bulletinboard/2019/april/graphingcalculatorsapproved

Analysis and Approaches

...ave scatter plots whose points form a straight line. Arithmetic Sequences and Series Students will explore the definition of a function through use of a graph, a set of ordered pairs and an input-output diagram. *NEW/UPDATED Back in Time Students wi...
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Back in Time

...ed pairs and an input-output diagram. *NEW/UPDATED Back in Time Mathematics lessons for IB® Diploma Programme Analysis and Approaches | Functions .two-columns { display: grid; grid-template-columns: auto auto; } Back in Time? Objectives Students...
https://education.ti.com/en/ib/activities/analysis-approaches/84-back-in-time