introduce ti-nspire
TRANSCRIPT
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TI-Nspire CAS(software)
http://www.ti-nspire.com/tools/nspire/index.html
http://web.hku.hk/~amslee/nspire.pdf
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References
http://b.kutzler.com/src/download.htm
written by Bernard Kutzler
Introduction to TI-Nspire CAS (Software) (2007)
Algebraic Calculators as Pedagogical Tools forTeaching Mathematics (2000)
What Math Should We Teach When We Teach Mathwith CAS? (2001)
this is a 269 pages comprehensive guide to the use of the software
http://education.ti.com/educationportal/downloadcenter/SoftwareDetail.do?website=US&tabId=2&appId=6687
TI-Nspire CAS Software Guidebook
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TI-Nspire CAS is a powerful mathematics tool suited for teaching and learning. It
combines several applications under one roof... TI-Nspire CAS enables new
approaches in teaching, learning, and understanding mathematics by providing
seamless integration of numeric, algebraic, graphic, geometric, and statistic capabilities
enhanced with the support of data collection.
Kutzler (2007) p.5
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Calculator
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Calculator
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Calculator
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Calculator
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Calculator
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Graphs and Geometry
change window settings - drag the entire graphing area
Kutzler (2007) p.76
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Graphs and Geometry
change window settings - edit the range
Kutzler (2007) p.76-77
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Graphs and Geometry
change window settings - drag the tick marks
Kutzler (2007) p.77
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Graphs and Geometry
Kutzler (2007) p.78
When you have graphed a function, you can use the Pointer tool to translate,stretch and/or rotate it by grabbing its graph. As you maneuver the graph, its
symbolic representation also changes.
The graph starts blinking
and the mouse pointer now
has the shape of a diagonal
dash with a double-headedarrow perpendicular to it.
When you see this shape, click and
hold the left mouse button, and then
drag the mouse pointer down and tothe right. Finally release the left
mouse button.
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Graphs and Geometry
Kutzler (2007) p.79
When you have graphed a function, you can use the Pointer tool to translate,stretch and/or rotate it by grabbing its graph. As you maneuver the graph, its
symbolic representation also changes.
The mouse pointer takes the shape
of a four-headed arrow. Thisindicates that now you can translate
the curve.
When you see the four-headed arrow,click and hold the left mouse button, and
then drag the mouse pointer up and to
the left. Finally release the left mousebutton.
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Lists and Spreadsheet
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Data and Statistics
Move dots in the graph to see how the mean and median change.
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Graph and Calculator
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Graph and Calculator
variables p, q and k are linked to coordinates of certain points in the graph
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Graph and Spreadsheet
r and s are defined in the graph while p and a are defined in the spreadsheet
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Graph and Spreadsheet
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Graph and Spreadsheet
study area function with data capturing and plotting
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Activity: circumference and area of circle
start with a graphing and geometry
application;choose the Plane Geometry View
draw a circle and measure itscircumference (length) and area
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Activity: circumference and area of circle
click the measurement tohighlight it
create a variable
click the var button
select Store Var
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Activity: circumference and area of circle
type the name of the variable and
press enter
if it is named successfully, thename should appear in bold
do the same for the area
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Activity: circumference and area of circle
after creating the variables, split the pageinto two subpages and add a spreadsheetapplication
choose a suitable layout
select Lists & Spreadsheet
we'll record the values of the variables (ccand ar) in some cells of the spreadsheet
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Activity: circumference and area of circle
name the column A as 'plotx'
enter the variable cc in cellA1; type the equal signbefore cc
press enter and the currentvalue of cc will bedisplayed
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Activity: circumference and area of circleWhen both variables are recorded inthe first cell of each column A and
B, we can add them as a scatter plotback in the graphing application.Click inside the geometry subpage,show Analytic Window from thetoolbar, a small graph appears.
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Activity: circumference and area of circle
Switch to Scatter Plot, the entry field below changes sothat you can select the available list names previously
set (i.e. plotx and ploty).You may not see the point yet if it is outside thegraphing range. Right click to zoom data to get theappropriate range.
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Activity: circumference and area of circle
When the point (plotx, ploty) appears,drag the circle (not the center) to changeits measurements, you should then seethe point in the graph and values in thespreadsheet updated automatically.
To display the change in area against circumference,right click the point in the scatter plot and activateGeometry Trace.Vary the circle again to see the effect.
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Activity: circumference and area of circle
We can plot a quadratic function to
compare with the scatter plot.Switch to Function graphing in thetoolbar. You can then enter a formulafor a function.
Type x^2 and press enter.
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Activity: circumference and area of circle
Put the pointer on the graphof f1.
Drag to change theparameter to make thequadratic graph graduallyapproach the scatter plot.
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Activity: circumference and area of circle
Choose another layout to addanother application (Calculator)in the same page.
We'll try some calculationsfor further understanding
the coefficient of f1.
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Activity: circumference and area of circle
insider the calculator,enter ar or cc to
display their currentvalues
calculate the ratio byentering "ar/cc^2",
the result is close tothe coefficient of f1
find the ratio againwith a symbolic
calculation, enter"(pi*r^2)/(2*pi*r)^2"
turn the last result intoan approximation,choose from toolbar"Convert to Decimal"
press enterthe same numericalanswer is shown
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Activity: circumference and area of circle
In the previous steps, although we setup a scatter plot based on column A
and B, there is only on point in thegraph with its change displayed as ageometry trace.We can really collect a set of valuescorresponding to a variable by usingdata capture.To do so, right click the cell directly
above cell A1. Choose ManualorAutomaticdata capture. [Use Ctrl .(period) to trigger each manual capture.]
'var' should bereplaced with the nameof the variable to becaptured
enter 'cc' to indicatethe variable
press enter