Texas Instruments TINSPIRECX Multiple Representations, Draw and Measure a Circle, Measured circle

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First Steps with TI-Nspire™

Appendix: Multiple Representations

Appendix

Multiple Representations

The previous seven tutorials have introduced many of the key features of TI-Nspire learning technology, with each of the applications being discussed separately. However, one of the great strengths of TI-Nspire is that it allows the applications to be linked dynamically, encouraging different approaches to problem solving. This appendix offers an example of what is meant by “multiple representations”, showing how several of the applications can be used to investigate a mathematical concept, in this case the relationship between a circle’s diameter and circumference and between its radius and area.

By working through this appendix you will be able to revise many of the skills and techniques you met in the tutorials. Here detailed instructions and key presses have been omitted though you will find back references if you need to remind yourself about particular techniques. However, try to concentrate on the big picture of what is going on, asking yourself how each of the multiple representations contributes to a deeper understanding of the mathematics.

Draw and Measure a Circle

•Open a new document with a Geometry page.

•Construct a large circle on the screen.

•Construct a radius by drawing a segment from the centre to the circumference.

•To construct a diameter first construct a line (not a segment) from the centre to the circumference. Then construct the Intersection Points of the line and the circle: this generates the point on the opposite end of the diameter.

•Now measure the lengths of the radius, the diameter and the circumference. Also measure the area. In each case change the number of decimal points displayed.

• Finally assign the measurements to variables. Click on

 

A measured circle

each measurement in turn. Press h. Type the letter

 

appropriate for each measurement (r, d, C and A) and

 

press ·.

 

• Check that the measurements all change when you

 

grab the edge of the circle and change its size.

 

© 2012 Texas Instruments Education Technology

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Contents First Steps About this document Contents Appendix TI-Nspire CX Keypad Layout Memory TI-Nspire DocumentsNothing on the screen? Charging the handheld Battery LifeHome Screen First Steps with TI-Nspire Tutorial 1 TI-Nspire documents Scratchpad Documents, Problems and PagesNavigating Documents First Steps with TI-Nspire Tutorial 1 TI-Nspire documents Contextual Menus Check list of some key points in Tutorial Basic operations Calculator ApplicationApproximate Calculations History LessonMenu of maths templates TemplatesGetting Set Document settings dialog boxEffect of changed settings Use of function notation Some AlgebraWays to define variables Lists of random integers Calculator MenuStatistical Distribution Tables List of defined variables Variables Linked to DocumentsVarious text formatting Instructions Recording results Why use Notes?Making Notes Ways to split the screen You must press /e and then b Splitting the ScreenFormat sub-menu More Options from the Notes Menu An inserted comment Use of proof template and symbolsInteractive Notes Use of Q+A templateAsking Questions Check list of some key points in Tutorial Graphs & Geometry Two Views GraphingGraphing Functions Graphing ViewChanging the Axes Grab and Drag PracticeOpen-hand cursor Grabbed tick mark on the axesChanging f2 in the function history Zoom settings Grabbed-sheet iconEditing, Deleting or Hiding a Function Points and coordinates Tracing GraphsTrace picks out significant points Points of intersectionCoordinates and labelled points Analyse Graph MenuAlternative icons Transformed graph and equation Using SlidersManually Moving Graphs Sequence Plotting Check list of some key points in Tutorial View for Plane Geometry GeometryTwo Parallel Lines Drawing the base of the triangleMany options in the Construction menu What’s grabbable?Construct the Triangle Variables and Text Making MeasurementsMeasurement menu Storing the measurement as a variableDynamic Changes Tidying Up and Using AttributesReady to grab a and slide it Changing the attributes of the triangleUnlocked/Unpinned Points B and C. Try Moving point B Area is now lockedCheck list of some key points in Tutorial Entering Data as Lists Lists & SpreadsheetOne way to enter a formula Typical Spreadsheet Actions Using FormulaeConflict resolution Hand-made function table Capturing DataFunction Tables Graph and table side by side Simple function table Options for function tablesFrequency Charts Shoe Sizes and Hand Spans Charts with One VariableOne and Two Variable Statistics Pie Chart displaying categorical data Charts for Categorical DataComparing Boxplots Upper quartile displayedReady to add a 2nd variable Charts with Two VariablesFitting a Line by Hand and Eye Calculated regression line Statistics Calculations menu Drawing the Regression LineGetting the Stats Working with Frequency Data Dragging on the ChartsSets of statistics Effect of moving a point from here … … to hereTexas Instruments Education Technology Check list of some key points in Tutorial Measured circle Multiple RepresentationsDraw and Measure a Circle Spreadsheet for Data Capture Setting up a scatter plot Data capture is under wayTwo Scatterplots Collecting Just a Little DataFit a Straight Line Go to Town with Data CollectionLinear relationship Moving a straight line by hand Not a linear relationshipBasic quadratic ready for fitting… … and dragged into place Different Approach to ScatterplotsRegression
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