introduce TI-Nspire

8/14/2019 introduce TI-Nspire

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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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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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click the measurement tohighlight it

create a variable

click the var button

select Store Var


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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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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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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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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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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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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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Put the pointer on the graphof f1.

Drag to change theparameter to make thequadratic graph graduallyapproach the scatter plot.


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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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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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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

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introduce TI-Nspire