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<div id="main-column" class="span9"> <article id="calculus" style="margin-top: 16px;">
<h1 class="section-title">Calculus</h1>
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<h3><img alt="" src="../../../ib/mathanalysis/images/_Site/Technology/TI-Nspire-Activities/Nspire-calculus-img1.jpg" style="border-style:solid; border-width:3px; float:right; height:198px; width:198px"><span style="color:#0000FF"><strong>student activities on the TI-Nspire:<br>Calculus syllabus topic</strong></span></h3><p>Click on the name of an activity in the list below to move directly to the <strong>teacher video</strong> and <strong>TI-Nspire file download</strong> for that activity - or simply scroll through the activities/teacher videos below the list. There is a very brief description for each activity, but the best way to gain some insight into the activity is to watch the teacher video. Although the 'type' of each TI-Nspire file is a <em>TI-Nspire CAS Teacher Software Document</em>, it will run on both the CAS and non-CAS version of the handheld device or computer software. If you wish to download all eight of the TI-Nspire activities relevant for the <strong>Calculus </strong>syllabus topic in Math SL & HL in one zipped file, you can do that by clicking here.</p><p><strong>♦ </strong><u><strong>Calculus</strong></u><br><a href="../../go/27848.html#SLTL"><span style="color:#0000FF">Secant Line to Tangent Line</span></a><br><a href="../../go/27848.html#GE"><span style="color:#0000FF">Gradient-Slope Explorer</span></a><br><a href="../../go/27848.html#LM"><span style="color:#0000FF">Linear Motion</span></a><br><a href="../../go/27848.html#DRR"><span style="color:#0000FF">Differentiation Rule Recognition</span></a><br><a href="../../go/27848.html#FTF1"><span style="color:#0000FF">Find the Function 1</span></a><br><a href="../../go/27848.html#FTF2"><span style="color:#0000FF">Find the Function 2</span></a><br><a href="../../go/27848.html#FTF3"><span style="color:#0000FF">Find the Function 3</span></a><br><a href="../../go/27848.html#MVB"><span style="color:#0000FF">Maximum Volume of a Box</span></a><br><a href="../../go/27848.html#MVC"><span style="color:#0000FF">Maximum Volume of a Cone</span></a><br><a href="../../go/27848.html#DII"><span style="color:#0000FF">Definite Integral Intro</span></a><br><a href="../../go/27848.html#ABTC"><span style="color:#0000FF">Area Between Two Curves</span></a><br><a href="../../go/27848.html#MLM"><span style="color:#0000FF">Modelling Linear Motion</span></a><br><a href="../../go/27848.html#IME"><span style="color:#0000FF">Integration–Mixed Exercises</span></a> <img alt="laugh" class="ico" src="../../../img/tib-icons/higher-level-16.png" style="height:16px; width:16px" title="laugh"></p><p><span style="color:#0000FF"><strong><a class="anchor" id="SLTL" name="SLTL"> </a></strong></span><a href="../../go/27848.html#SLTL" target="_blank" title="Activities"><img class="ico" src="../../../img/icons/activities.png"> <span style="color:#0000FF"><strong>Secant Line to Tangent Line - TI-Nspire Activity</strong></span></a><br>dynamic graphs showing line through two points on a curve (secant line) approaching line tangent to the curve at a single point; first steps leading to defining derivative of a function at a point (‘first principles’); <a href="../../go/27848.html#SLTL" target="_blank" title="Teacher notes"><img class="ico" src="../../../img/icons/teacher-notes.png"> Secant Line to Tangent Line - Teacher Video</a> below<br><u>download TI-Nspire file</u>: <a href="../../../ib/mathanalysis/files/Technology/TI-Nspire-Activities/Secant-Line-to-Tangent-Line.tns">Secant Line to Tangent Line.tns</a></p><p><iframe allowfullscreen="" frameborder="0" height="315" src="//www.youtube.com/embed/HDbL9-CQ9RI?rel=0" width="420"></iframe></p><p><span style="color:#0000FF"><strong><a class="anchor" id="GE" name="GE"> </a></strong></span><a href="../../go/27848.html#GE" target="_blank" title="Activities"><img class="ico" src="../../../img/icons/activities.png"> <strong><span style="color:#0000FF">Gradient-Slope Explorer - TI-Nspire Activity</span></strong></a><br>dynamic graphs illustrating gradient of linear functions; and non-linear functions where tangent line can be moved along curve showing how value of gradient (slope) changes; <a href="../../go/27848.html#GE" target="_blank" title="Teacher notes"><img class="ico" src="../../../img/icons/teacher-notes.png"> Gradient-Slope Explorer - Teacher Video</a> below<br><u>download TI-Nspire file</u>: <a href="../../../ib/mathanalysis/files/Technology/TI-Nspire-Activities/Gradient-Slope-Explorer.tns">Gradient-Slope Explorer.tns</a></p><p><iframe allowfullscreen="" frameborder="0" height="315" src="//www.youtube.com/embed/Ye6ZDWcgy5Y?rel=0" width="420"></iframe></p><p><span style="color:#0000FF"><strong><a class="anchor" id="LM" name="LM"> </a></strong></span><a href="../../go/27848.html#LM" target="_blank" title="Activities"><img class="ico" src="../../../img/icons/activities.png"> <strong><span style="color:#0000FF">Linear Motion - TI-Nspire Activity</span></strong></a><br>interactive activity where one can move a dot along a line to generate in real time a graph of time versus displacement, distance, velocity, speed or acceleration; can replay motion and also try to match a variety of different functions; <a href="Browse server to select file" target="_blank" title="Teacher notes"><img class="ico" src="../../../img/icons/teacher-notes.png"> Linear Motion - Teacher Video</a> below<br><u>download TI-Nspire file</u>: <a href="../../../ib/mathanalysis/files/Technology/TI-Nspire-Activities/Linear-Motion.tns">Linear Motion.tns</a></p><p><iframe allowfullscreen="" frameborder="0" height="315" src="//www.youtube.com/embed/ZHusaNrZiow?rel=0" width="420"></iframe></p><p><strong><span style="color:#0000FF"><a class="anchor" id="DRR" name="DRR"> </a></span></strong><a href="../../go/27848.html#DRR" target="_blank" title="Activities"><img class="ico" src="../../../img/icons/activities.png"> <strong><span style="color:#0000FF">Differentiation Rule Recognition - TI-Nspire Activity</span></strong></a><br>series of interactive quizzes that tests a student’s ability to recognize which differentiation rule to use for a given function; wide variety of functions appear in the quizzes; <a href="../../go/27848.html#DRR" target="_blank" title="Teacher notes"><img class="ico" src="../../../img/icons/teacher-notes.png"> Differentiation Rule Recognition - Teacher Video</a> below<br><u>download TI-Nspire file</u>: <a href="../../../ib/mathanalysis/files/Technology/TI-Nspire-Activities/Differentiation-Rule-Recognition.tns">Differentiation Rule Recognition.tns</a></p><p><iframe allowfullscreen="" frameborder="0" height="315" src="//www.youtube.com/embed/I4mDfoqLe2k?rel=0" width="420"></iframe></p><p><strong><span style="color:#0000FF"><a class="anchor" id="FTF1" name="FTF1"> </a></span></strong><a href="../../go/27848.html#FTF1" target="_blank" title="Activities"><img class="ico" src="../../../img/icons/activities.png"> <span style="color:#0000FF"><strong>Find the Function 1 - TI-Nspire Activity</strong></span></a><br>series of interactive problems where a student is challenged to determine the algebraic connection (function) between two quantities (independent & dependent variables); each problem shows a diagram of the physical context and a graph displaying a point that traces out the function for the two variables; first two problems show sine and cosine curves generated from unit circle, and other problems are good introduction to understanding optimization tasks; <a href="../../go/27848.html#FTF1" target="_blank" title="Teacher notes"><img class="ico" src="../../../img/icons/teacher-notes.png"> Find the Function 1 - Teacher Video</a> below<br><u>download TI-Nspire file</u>: <a href="../../../ib/mathanalysis/files/Technology/TI-Nspire-Activities/Find-the-Function-1.tns">Find the Function 1.tns</a></p><p><iframe allowfullscreen="" frameborder="0" height="315" src="//www.youtube.com/embed/YJjP14gJf7I?rel=0" width="420"></iframe></p><p><strong><span style="color:#0000FF"><a class="anchor" id="FTF2" name="FTF2"> </a></span></strong><a href="../../go/27848.html#FTF2" target="_blank" title="Activities"><img class="ico" src="../../../img/icons/activities.png"> <strong><span style="color:#0000FF">Find the Function 2 - TI-Nspire Activity</span></strong></a><br>a continuation of Set 1 where a student is to figure out the algebraic connection (function) between two quantities (independent & dependent variables); <a href="../../go/27848.html#FTF2" target="_blank" title="Teacher notes"><img class="ico" src="../../../img/icons/teacher-notes.png"> Find the Function 2 - Teacher Video</a> below<br><u>download TI-Nspire file</u>: <a href="../../../ib/mathanalysis/files/Technology/TI-Nspire-Activities/Find-the-Function-2.tns">Find the Function 2.tns</a></p><p><iframe allowfullscreen="" frameborder="0" height="315" src="//www.youtube.com/embed/BLUAvPNOPbA?rel=0" width="420"></iframe></p><p><strong><span style="color:#0000FF"><a class="anchor" id="FTF3" name="FTF3"> </a></span></strong><a href="../../go/27848.html#FTF3" target="_blank" title="Activities"><img class="ico" src="../../../img/icons/activities.png"> <strong><span style="color:#0000FF">Find the Function 3 - TI-Nspire Activity</span></strong></a><br>a continuation of Sets 1 & 2 but with the addition that there is a constraint such that a third related quantity is fixed; <a href="../../go/27848.html#FTF3" target="_blank" title="Teacher notes"><img class="ico" src="../../../img/icons/teacher-notes.png"> Find the Function 3 - Teacher Video</a> below<br><u>download TI-Nspire file</u>: <a href="../../../ib/mathanalysis/files/Technology/TI-Nspire-Activities/Find-the-Function-3.tns">Find the Function 3.tns</a></p><p><iframe allowfullscreen="" frameborder="0" height="315" src="//www.youtube.com/embed/SuzZXS3fBVA?rel=0" width="420"></iframe></p><p><strong><span style="color:#0000FF"><a class="anchor" id="MVB" name="MVB"> </a></span></strong><a href="../../go/27848.html#MVB" target="_blank" title="Activities"><img class="ico" src="../../../img/icons/activities.png"> <strong><span style="color:#0000FF">Maximum Volume of a Box - TI-Nspire Activity</span></strong></a><br>classic open-top box problem is presented in three representations – 2D square from which the corners (h by h) are removed, the resulting 3D box, and a graph of h versus volume. The value of h (side of square corner removed from square) can be changed which dynamically changes the 3D box and can display either trace point of the function of volume in terms of h, or the full graph of the function; <a href="../../go/27848.html#MVB" target="_blank" title="Teacher notes"><img class="ico" src="../../../img/icons/teacher-notes.png"> Maximum Volume of a Box - Teacher Video</a> below<br><u>download TI-Nspire file</u>: <a href="../../../ib/mathanalysis/files/Technology/TI-Nspire-Activities/Max-Volume-of-a-Box.tns">Maximum Volume of a Box.tns</a></p><p><iframe allowfullscreen="" frameborder="0" height="315" src="//www.youtube.com/embed/GDrvPR1OjZM?rel=0" width="420"></iframe></p><p><strong><span style="color:#0000FF"><a class="anchor" id="MVC" name="MVC"> </a></span></strong><a href="../../go/27848.html#MVC" target="_blank" title="Activities"><img class="ico" src="../../../img/icons/activities.png"> <strong><span style="color:#0000FF">Maximum Volume of a Cone - TI-Nspire Activity</span></strong></a><br>optimization problem where a sector of a certain angle is cut out from a circle and formed into a cone; interactively change sector angle showing resulting 3D cone and traces out a point on the graph of the function of cone volume in terms of sector angle; <a href="../../go/27848.html#MVC" target="_blank" title="Teacher notes"><img class="ico" src="../../../img/icons/teacher-notes.png"> Maximum Volume of a Cone - Teacher Video</a> below<br><u>download TI-Nspire file</u>: <a href="../../../ib/mathanalysis/files/Technology/TI-Nspire-Activities/Max-Volume-of-a-Cone.tns">Maximum Volume of a Cone.tns</a></p><p><iframe allowfullscreen="" frameborder="0" height="315" src="//www.youtube.com/embed/WSakTDCOxKM?rel=0" width="420"></iframe></p><p><strong><span style="color:#0000FF"><a class="anchor" id="DII" name="DII"> </a></span></strong><a href="../../go/27848.html#DII" target="_blank" title="Activities"><img class="ico" src="../../../img/icons/activities.png"> <strong><span style="color:#0000FF">Definite Integral Intro - TI-Nspire Activity</span></strong></a><br>interactive exploration of area under a curve approximated by rectangles whose widths can be changed; also shows definite integrals with calculations for different rectangle widths; <a href="../../go/27848.html#DII" target="_blank" title="Teacher notes"><img class="ico" src="../../../img/icons/teacher-notes.png"> Definite Integral Intro - Teacher Video</a> below<br><u>download TI-Nspire file</u>: <a href="../../../ib/mathanalysis/files/Technology/TI-Nspire-Activities/Definite-Integral-Intro.tns">Definite Integral Intro.tns</a></p><p><iframe allowfullscreen="" frameborder="0" height="315" src="//www.youtube.com/embed/tUTrfk8sLxg?rel=0" width="420"></iframe></p><p><strong><span style="color:#0000FF"><a class="anchor" id="ABTC" name="ABTC"> </a></span></strong><a href="../../go/27848.html#ABTC" target="_blank" title="Activities"><img class="ico" src="../../../img/icons/activities.png"> <strong><span style="color:#0000FF">Area Between Two Curves - TI-Nspire Activity</span></strong></a><br>interactive graph with an animation option that illustrates the equivalence between two different approaches with definite integrals to compute the area between two curves; <a href="../../go/27848.html#ABTC" target="_blank" title="Teacher notes"><img class="ico" src="../../../img/icons/teacher-notes.png"> Area Between Two Curves - Teacher Video</a> below<br><u>download TI-Nspire file</u>: <a href="../../../ib/mathanalysis/files/Technology/TI-Nspire-Activities/Area-Between-Two-Curves.tns">Area Between Two Curves.tns</a></p><p><iframe allowfullscreen="" frameborder="0" height="315" src="//www.youtube.com/embed/XZ_6d-Ds64Y?rel=0" width="420"></iframe></p><p><strong><span style="color:#0000FF"><a class="anchor" id="MLM" name="MLM"> </a></span></strong><a href="../../go/27848.html#MLM" target="_blank" title="Activities"><img class="ico" src="../../../img/icons/activities.png"> <strong><span style="color:#0000FF">Modelling Linear Motion - TI-Nspire Activity</span></strong></a><br>explores linear motion by means of an editable displacement function which determines the animated motion of a dot along a vertical line; <a href="../../go/27848.html#MLM" target="_blank" title="Teacher notes"><img class="ico" src="../../../img/icons/teacher-notes.png"> Modelling Linear Motion - Teacher Video</a> below<br><u>download TI-Nspire file</u>: <a href="../../../ib/mathanalysis/files/Technology/TI-Nspire-Activities/Modelling-Linear-Motion.tns">Modelling Linear Motion.tns</a></p><p><iframe allowfullscreen="" frameborder="0" height="315" src="//www.youtube.com/embed/vxb97C94_BY?rel=0" width="420"></iframe></p><p><strong><span style="color:#0000FF"><a class="anchor" id="IME" name="IME"> </a></span></strong><a href="../../go/27848.html#IME" target="_blank" title="Activities"><img class="ico" src="../../../img/icons/activities.png"> <strong><span style="color:#0000FF">Integration-Mixed Exercises - TI-Nspire Activity</span></strong></a><br>interactive review of integration methods (HL); a series of indefinite integrals are presented for which the appropriate integration method and answer can be revealed; <a href="../../go/27848.html#IME" target="_blank" title="Teacher notes"><img class="ico" src="../../../img/icons/teacher-notes.png"> Integration-Mixed Exercises - TI-Nspire Activity</a> below<br><u>download TI-Nspire file</u>: <a href="../../../ib/mathanalysis/files/Technology/TI-Nspire-Activities/Integration-Mixed-Exercises.tns">Integration-Mixed Exercises.tns</a></p><p><iframe allowfullscreen="" frameborder="0" height="315" src="//www.youtube.com/embed/dJO-od5A4z4?rel=0" width="420"></iframe></p><script>document.querySelectorAll('.tib-teacher-only').forEach(e => e.remove());</script>
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