Document 11121951

advertisement
First Steps
with
Technology for Teaching and
Learning Mathematics
Seven Introductory Tutorials for the
TI-Nspire™ with Touchpad Handheld
!#"#!!$" #" '"#" !""%#! !" #''"# !
.
! 1"!! "'*!"'#!"!
#" !"% ( $" !"&"'"" "!! !*%$ (
" '#!"!"#" !!"$*"$"! #'"
"#" !"% #"! !"!' !!! """*
"#" ! !"% " # (%"" !#!!$ * !""'#"%"#(" $ '"!" #"!#"%'!
" !!/#"(!'#%#&"("#""! #%""#!#!
!#!#"'*
&'#%&""!"" !$ ""!" #
! "'""#" !*!%!'#" $!"'""#!'#" (
" $!&"#!+#" !""!,"""!*
""#" !'#%! !"" #"!"" !#" %"'# .
! *' !$ "")--#"*"*-#!*
' )
""" "%"".
! 1($5*3
.
! 1 #($5*3
•
#" !""!(''(# " !"!$
!& !!!#"!*
•
"!""""! (" '(# (!""!"!( .% "*
•
#"!%!$( ("(" ! "%
#" !" #"" '*
•
" "!$" !!"! '!' !*
!""
$ 5336*
"( # '5337*
"(##!"5337*
# ""(#5343*
5
05343&!!" #"!#"'
!
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,6
",,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,7
•
•
•
•
•
•
•
•
&%$+!# $+!$+!!% $ $#
$ /** #$ #%&%$
#
#%!
&%# ($#% '%# & &%$ #$
#%#% '%$ &%$
#%&$#% %)%$
&%&
#,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,23
•
•
•
•
•
•
•
•
$&% $
%#* &% )!#$$ $
!#' &$)!#$$ $#$&%$
!!# )%-$.)%-#% $.'&% $
!%$&$
&%$%%$
&$'#$
#(%%%$%$%#&% $
$,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,28
•
•
•
•
•
&#! $$ %!!% * &%$(%$!%$#$
!%$ #% %$&
$%#%' %$
#%&$% $&$%# %(#
%,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,35
•
•
•
•
•
•
•
•
•
•
( ##+%#*+&% $% #*
%#+%+%&% $
##$
%%%)$
# #!$
#! %$ #%$
$%*$#! $
#$ ##!$%#&% $&*
$#$
"& %%
/3121)$$%#&%$&% *
4
!#
%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++43
•
•
•
•
•
•
•
•
#!(!%&"
"*"#"!("
"#!$#!"
!&#"#"
"#!$#""
#!"!#"
"$!#""#!"%!"
##!$#"&#!"!#"
&++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++47
•
•
•
•
•
•
•
#!##!$"
"#"$#"
")"
$$"%!,"
#$!#!#!".#!(#
$##"
! $(!#
'++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++54
!!
•
•
•
•
•
•
•
•
!#-#&-%!"##"##"##.##"#"#
"'#"#!#"#"
"#!#!!#"
$#"("$!("##"#"
$(##"#!#"##
$##(##!-!!"""##
!#""##!#"
!! $(#
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++61
"
5
/3121'""#!$#"$#(
!
!"
#!
#
!
! ! % !,0 %&
! ! !,! &# ("!! !&# " !
! ( ! ! %!! ," ! %# # % %(
! ,"&%!! !! & !%
$ ! ,:6,:7! &%!% !
%' )%! %#%(# %
! # (c # (
Nothing on the screen? You probably need to fit the batteries.
See Getting Started with the TI-Nspire Handheld page 5.
) #%! # ) &! ! # # (c%*+# !" ) !&%
!%/(
! ! ! & #%$
%!! ! & !%! ( "" "
!! %&/& %g(% % "! # !" % " ! %( $q&ph( %!
! # % % ! ! %!! ! ($&%!% !/C/V() !!% ! !"! &/Z&#
" %/d-ª.(- !&5,8! .
9
/5343$ ! ! %
'#!%"#" '#&""
!%"%!"
'#+
"!" " '#"#"! "%'*#"
",! ! ""! !""*
!!c)"#"")%"'"""
""'*#!#!! ! "
"!*$"""$ #!!" #!" !# "'*!
$!!""#-".)!
$"$!'# !!"#)%)
" " %!"$"!" #*
!"!"'# !!"x!# !'"""#*%$ +"!"'"!'"(
! %" ",! +!! ! !"#" #" *#" %!#'# !"!"!"'%'!"!,! !! *"#" '#$"!""#!,,% ,
!! )! !" %"$ *#"#!"#"%"%'#%
"% ""&")#"!)#"!"*
!"!"
#"
'%'!% %",! !! *#%'!$"% %"#"
'##! ""!" % !)#")#""&""*
"!#" " "#" !""%"#"'#$!"!
""#!!' ""!!'#*! !"#"
" "!!!'%"#"!" ! %" *
#$$ " " !""*
!#!#" !""!!"'"!""",! !#
% #" ""!*%",! '# !"#") !" "
%)"!"*
#"!"
If you accidentally press c and would like to return to the document you are
working on without inserting a new page, select option 4: Current. You can do this by
pressing 4on the keypad
/2010&!!" #"!#"'
3
"#
$ "
&$%##$ $ $(* &#*
&$%(%% ##* &%"&&% ##(
"&#!%0$!#&$%&#
%.$#%!$$ #
% $$&%# (0(*&% $%%% # %% %,&%# %( #%
!& &%. $$%
#%!!#$$».
$#%$ %&% #!2&$%$*$%0
($%%$3,(&$% ##* &%* &#
&% $.#$$»$(!$%(%
&% #%#!$#%!!$. $%
#%!$!*!#$$d.
&$% !&%#, &%$$% # %0
$!#1%$# #*!%* &%
89. $(% &%$#!#0 * &#
* &% &$ !% 8 % $#-
!
Either use the touchpad to move the selector down to the
2: My Docs… option then press x to select it.
Or use the touchpad to move the cursor over option 2 and x
nd
Or just press 2 key to select option the 2 option.
&$ &$$#% &%
# ($#%($ %% $ (
#. &%$# #+% #$$%*
( & !&%#.(0$!#
$ &' #-
You can very often use either x or
· as alternative key presses
'%&#$ #% % #%%.
!#$$x #· #¢ %% &!% !% #.
$% # * &#* &
(!# * &%%%/66%%
%#%/.$¤% %·% !%
&%.
9
48676)$$%#&%$&% *
e is often used to move to, and
highlight different parts of the screen
!"!%%!#$%!%!# "
! ! %)%!# "%!"!#e
¢ " )
·)
! %! % # ) ' # ! ! % & ! # ! ! '## !%! % %
! *! )
% ! !! % #%
" ! ! ) $'
/ ¢ # %! $ ! )%' /¡ !%! "! ) /£ # %! # %! "
!%% ! ! )
%%" (
Name of Document
Total number of pages in the problem
Number or Name of the Problem
*! % ! % ! )
! # #'# /0'
"%)
### !%!# ! )%!
" .'%'¡ #!)
·/¤ %! "# ! % )
+.,-,
$ ! ! %
0
"
$
% "
(&
%
• • • • #
• #
• &"
" # &
#
#
&
If the ‘Getting Started’ document is present on your handheld, work through it now as far as
page 2.5. This will allow you to revise what has been covered so far in this tutorial
Pressing d will always
close down a menu or
dialog box.
#& !
&b#
" c~&
&
"#
&!#
#' !
# #
&
#
' ""
&
""$
"d&
b&
b "
&!#
#"
&
+*
),*+*!"
$!! "$ $~$&
!$
$¢¢ &
$%
$
$ !&
# " '&
•
% %%%%
•
/$$ •
•
•
"! •
! •
ed
•
$b #
•
(+)*)# $
**
( %" ' $ %"
" ' "!% " $
c
'
" &
1·x '
$$# % %
!' $"
#" % !
" '
NB multiplication and
divison.
What do you expect the result
of this calculation to be?
$$ #"·)
"" !'
$$$#%·% .
/.'
,-
*-+,+# $
"! &"#&! ( + " $ 44 # $ ( £ "$ ! # ($
·( ! # $
$ "#(
& # ! &$ ·
! $( " $ #
$ $ · %
$$
Notice how entering an operation at the
beginning of an expression (the power
operation in this example) causes the
automatic entry of Ans, standing for the
previous answer.
1·
lv1¢+1
···)
$ ! $ ' !(
b15( "$ $ $ ! · " /· $ " ( $ · $ ,$- #
(
!
# , - # , -( $
$ " (
"$ #$ $&
(($0*30(/*3(
.1/0/
# $
02
% *%" %! $)$' ! %!"! % /q! l
#) $ $ " %! "!)
%# $$!! )
$' % 62564) "! $ 2%! e¢)$ !¢ %! ")
$ " %
t )
!%! " # !
·)
# " T
! " !
"+ %!! % ,# ! $-)
%! ! ! 1/!!)!# !
% ! N "
)
e! ! "
$ $ )
# ! ! 1/ !
!) % ! ! ,%&-(
££·¡¡.3·
!! ' )
2
Integral of x +2x-3
between 1 and 5
b4
2
Derivative of x +2x3 at x=5
03
.1/0/$ ! ! %
"
"
c521~721
21
With dialog boxes it is important to
remember that you need to press e to move
through the various options.
!
#
¤
# "! e#
! #
·
#
#
!
#!
#
In Approximate
mode all results are
shown as decimals
rather than fractions
$'%&%
&(
" $ ! % % %
!(
! "$ !(
/h*+%
/t*Ï+
$$%"$
!$
'kD(
$ '
•
$ ! $/)&
•
$º(
$! "2 "+'"
%!
! (
What you type is not necessarily
2
what you get: above r and 2r
were actually typed as.
PIrRq
2PIrR
( **#++ ! $ )
" ! $(
" 1 $ (
*#+*#+
$ "(
/3
,0./.# $
b!"
% " &/, &/-
" "!%
*)) "&%
"
b542
"
$"%
"
b633%
*)) *+
%
Notice that the expression d1+d2 produces a list of 100 sums of the
corresponding values from d1 and d2 i.e 100 totals when 2 dice are thrown
&"
"
$%
# "
"
% '+)*)
!
"
*.
#$
%!
h $ " " ! $ ! " '
$ " $ ' $ ! % % - . ! %!"
"" ~15%$&
gFIRSTgSTEPS
·'
%!
•
$ #"$! •
! # •
! #()#()
•
" •
•
•
! -/
*.,-,
# $
"
$
%
" $ #
•
•
•
%
%
$
+$
c
!$
/~&¿'6$
$
"g$
(+)*)
*,
b
#
!
#
!" g" ! #
! ! #
~52 ! #
!
#
! ! #
Important: to move from one part of
the screen to another you need to
press: /e
! #
/e
b
!
#
"!
#
'%
$'%&% !
$ *
"! +)
! "(
•
# 1
•
"# •
!2
" $ !#
) %! # $ " b)
#! ! ) %! % ! )
' # # %!
% ! ! " # #
# ! ' # %)
# % (
/~6) $ # #
! ! )
This is a
MathBox
The MathBox attributes (b51+
allows you to show just the input or output if
preferred
% $*b31 /M+ ! $ %
%!#!" *)) $ +)# % ! ! "!'# ! ! ! %! )
"%!"! !' %! 0 $ ! )
,/-.-$ ! ! %
/.
"#
$ "
There are a number of different
question types which can be used
!
! "
b2
"
"" &&
#&$%$
•
•
#!
•
•
•
" •
$!
%(&'&"#
()
% % "!%$ *
( ! ! !
$! ( )! $ "! 5(
% ! %! ! 3( c ## (!! #&
# $% ! ## % (
! %% b2 # ! 2 % #( "# % $
# (! 5# $ .
% (
! #! " #%& %
" "#(b21 ! #(
0(2$2+3
,0^2Xq-3- #(
! ) #% %
#(
! 2%! ! ,$-'7$64(
e ! %
,$- ,G(X)- # * ( % #(
e # ! % & e % " ( !# * ·(%! ! ++ ! %( d%!" ## ! # (
24
/2010$ ! ! %
!
!"!#!$"! $'!# %!& !
!' &"!! $!" !!&"!&!"!)
&"#!" #!! !$'!! &(
• !" • !"&! • !#" ! '))% '!)
! !$ ! #&"!! ! e
& ! ! !" ! #" # ! ) # ! " ! ! ! $)
! !! ! * ,÷- $ # ! 1,%- !& x&
/x )
!!!! ! ",{-
! !! &" # " "& ! ) !"!! *
! "! ! $
!) & x d ! ! ) ! ! ! !$"!" ! !& ! !! $ " "!& "! 3)
$#' ! !
! %!& ! ! ! '
$!"!' ! &)
If you do end up moving the wrong
item, remember that /Zor /d
can be used to undo the last change.
! ! ! ! $ ) # ! ! ! %*% "
! $ ! %54) !!!&" !*+
&" "$!%,ø-&"
! ! % ! ' ! " ! ! !
)
! ! # !& ! ! !
! $! ! !) ! !! !
!%*&*% )
,x- d /d !
"! !"!!"! !% )
$!!! !
$ ! ! &' g' $ &" # !
!) !!%*% "!! &*
% ")
.2010% !"! "!&
23
!
$%$"#$"!##!
#'")$##!!$!#!&("
##"*
!"" b4($&"#"
& "$+$* # 2 &" ($ #
#! $! %$" # #! #
'#!" # '") & # #")
" # +74 +75) !% $##
!"*
#"&!##%!($"$&( # "##'")$#&#$#
!" #* % # !!& $!"! # #( !# # "! ! # %#
" * ! !# !" , ù-
# ## ($ ! ! # &
&!!*&($$"#$ #
! "##'""($&"*
"# # '" $" # ,$#- # ! # & $ !
#$*
$ "($&"#3,'-9'87*"&"
,'- # $#! # 2*2)($##&&("
#" *
•
# &! !) % # #! # #
) 3,'-9,'- ) "# ! #)
$+ # #
' " $ * # # !""·#$ ##*
•
!"" ee· # # #
$#"#!(!"!$ ##3*
$#"(#"!&(")(
" (##!# !""
·*
To hide a function’s graph click
on the Hide/Show button ú
36
.3121'""#!$#"$#(
b51
(
Notice the Trace icon in the top left
corner of the work area. This is typical of
many of the options from the menus.
¡ ¢ "
(# " ! $ ' b53 $ -(0 .( ! #& $ $ ·(
£ ¤ ! ( ! b52( #& % $(
The current value of the
trace is displayed in the
bottom corner
$ d(
" (
"$
"(
•
b73 *+(
(
•
! .*#+( "x (
•
! /*#+( x(
! $ ( # $ $
""$)#(
"d(
,/-.-# $
/1
& ""%
! $ b16%
""!"
" '' " !%
# ! ! % #
" %b25%
# " %
& " b61 % " x#"
" (x)
(x)%
Lower Bound
Upper Bound
" # !
"b6%
Use the Analyse Graph
menu to identify key
features of a graph
./
*.,-,!"
$"&!!##)&($$#+" $##!"*%#%
#$!,"!"##($"#!%!")**$($##!
"#$#+" $#*"#!%")""##$!""$"#"
#!"##!!#""$#*
!"#%#"#!#!)"&"*
## " ! "# "& # # #!!#&!!-!"" d#!
" (# "(. # % #
#!##!#$#*
"$"($&"# #& " "& !) &!
'#( ($ ! # "!* % #
($&"%!##!*
! # # ! # "$"# !") & # "$"#!"#&!"#"
# !* & ($ &$ # $"
!#(!""x *
" # $ # % # ! !$*
# # &( ## # $#+" $#
$#"#*
!""d#!(##!#!"!#*
Try manipulating a quadratic graph,
and explore the possible
transformations available
( # # $" ## % #!$ #" #$#!) !#$! ' #")
! #) & $" $#! 4* $#!" 5 6 ($ & "
&#"#"!"#"#&"#"%$"#!!$#"
#!"#!(#*
!" ! &!$ &( #!
# %$ "##" ! !
#! "#!$#* #" ' &
& $" "! # '! # #!"!#
$#* #") "#!# ( !# & !" ( !"" c #
"#*
!"##!#$#)#"!#
"!(!""b1A#
%!#
(!""D·*
/3121'""#!$#"$#(
37
# $ eF3(X-D)·%
$ & " ! !
&
$ % !
# &
$ % $&'
$ " & %" $ c & b351 '
& %
%·&
""$
b41#'#
'--,$'#'-
/-&"$ # $ b51
$$ $
/T &
# ! & #
$ (1,1) " " ! $ &
$! !$ &
.+
*-+,+# $
•
$#!#!#
%
•
##
•
•
!$!#"
•
•
•
!
•
!
•
&)'(' !
*(
!
"
"
$ %&% # %# &$ %#%' %#* .$!# &$ &! % % $ %&#$ %#!$ %#*!!% $%%(# '# &% #7- &#
$%! * $%! %# & %# $%#&% ( &$%#%$ % $! !% %% %
#$ %#$ (% ) $ $%% % # "&- $ * & ( # %# & %
$%#&% * &( %* %%&#$%% %$ % $% ! (#&
%%#%' ! %$ .$!#-
$$#* ! * &# #$%%!$8 &%
&$% c*%$%% #%
( %#*!-
& (% #!!%$! $$% '#% % %#* ! % #! ! * $% b21-
('# # ( ' % ! ( $%#% * #( $% % #!#$% % $ %# %
,!#$$ b7% $% !% $'
# #( %$ 1 $- %$ ' %( $%% ! %$+$#/% #*0%+
( #*$ ' &$% - $ !% "
-
'%&#$ #% $&%! $% #! %
- /x0 % ) % ! % %
gB% '% -
' % &#$ # % (# * & (% % %#
% $% % - # % ! % % % $ (*- % % !
% ## $ $% $ ( * & %% * & &
#( %#$%* &($-#$$ d% # ' % ' %% !#% -
65
the relevant icon
Notice that as usual
appears in the top left corner of the
screen.
25343)$$%#&%$&% *
!"
$
&" !" ! " % " *
! ! ! '# " !!
bA*
!"#*
##!"!'"%"!)""%"
!" (""#!"!!
"#."#"!!" /*$"# ! ""!"-'#%!"!%'# " "
!"*.x/"!""!"($
%'( "" %
'%""!!"*(
+" "" !!d('#"%""
" *
" "! " " ! % " $ " # ! # " ! " ! % "! *
# !# ! " # ! .÷/
" ( "( "!"
( " " & " * "! *
%$ (" "!"
*"%$ !" $ #!# !!* &('#
#""'.x/"!""
" !!." $"*
!"( " ! " * " '# % ! "! " "
%"#" $" "!(!""
"" '# $ ' % ! "
! " " #!* !!
b72 " !" " ") *
$ " # ! " % !" " " .x/ " !!) gAd*
" "! !" #" #! "
! # .b92/* "" "
" ! !% " " " (
" #' !"( ' ( ""!(*
" '# +" #" "! "", !!!% *
03121&!!" #"!#"'
44
"
%
# %! & $ ! ) $
! !-b8.
" ! ) ,
# ! !) & "%!! # %! # ! %
# ! % d " )
# % - ! ! !
~722.)
Notice the range
of other possible
measurements
available from
this menu.
%! ! " ! "!-%!! ,
. + - " ) ! ! %
) ! % ! % )
# #% ! )
%
$ ! )
#"&#! ! " % " ) (
•
" !" ! -%!# ,'
•
h # - "%/h.
•
! % " " *+)·)
" % # ! ! )$&%!" ! & % & ! "! #!)
34
/2010$ ! ! %
!
#
$ # ! ! ! ! ! !%!( # ! " %! !"! *"$! )
•
b16!
•
! !!%$!%!!*
•
!!%!!(
&"#,! &! (!&! ! ! * "! !
!!&"!!..&"" ! ! *
" & ! e "! ! !
! ( ! ! ! ! !* &" ! ! $ ! !, $$!!! /d $"
&! ! !!&",!
!'
!!! &"#!!(!$ ! !! #!*!
!$#( !*
$!&!(!! !!
! !* ! $ ! ! ! #( $ !* "!$!$ & "%$!!# !!!
! *
&!, $$! $!#!! #!! "!!&*
! !#!&! !!!&!*"!$!!
7!$"*
! !! ! & ! !!( &" " ! " !5!! "*
$ ! ! " !
" * # ! " ! !
!!/x0! !!*
$ &" ! ! ! !& ! * · ! &"
*
! ! (&"!
+!-,!!&!" #! /b*
14232% !"! "!&
56
!"
$
"!$# ! ! # ! ! &(
! ! ! $ $ "
$ &" "( *
! ! "! !$
! ! #" $ ! ! !
" +(
$ # ! " ! ! ! */b+( # &" ! !%!"
"!!'! !!
!' $ $ #! " # !( %'!&
& $ ! !
#! !#!&(!!! (
"!" !!)!!
!(
!"!#!" "! ! ! ! !!"! ! ! "!( &" ! ! !!"! ! "! &" $ ! !
( ! "! $ %
! "! #" ! #! !! &(
! " ! # #& ! ! ! &" #
!&"&!# !!!$ !"! (
+
"!(
&#!
+
"!!!"(
&#!
! !!"(
! (
#&""! %&"!(
12
,0./.% !"! "!&
•
%# #
•
& %
•
! •
# •
! •
# •
! "
•
! # ' (+)*)$ ! ! %
,-
#$# 3 !"#$ !!$ # &") ! '"% # !%$ $ #$# ' "# ###) '$ $ $" !!$ # $ !" & %$! "!"#$$ # $- #
$%$ "$" %#$!!$ +# ' '$ %#$##!#!"#$-$# # '#
' $ #$# 3 !"#$ !!$ # #$# %$ # $ %$ "+
"!# $")!!$ #+"' # &"%$ "#8+:;-
%$ " < ) % ' # ' #$# 3 !"#$ # %# %$ '$ $ $ 3
$$#$#!!$ $ !" %"$##$$#$#%"#-
!) %" %$!"## c$#$$ '!%#$
#$#3!"#$!!$ -
$" # $ #" $ $$ # ' "
'''%#%$ "<,
•
%"!"#$## #*#+
•
%#'$# #!#
/!"$'$ %0
•
%## #*#-
%'86 "96!"# #"$
%# $ #$ 7; &%# %-
$ $ #"$# "#
$' $# #" $"$ #!"#$- !"$%" $ $ $' "# %" '$ ") $ $ $ ! %-
•
'$"# "#$#-
•
") " # " "%# $$ '
!!)$ $#$#$ '-
& $ $ '$ #! # + $)!
!"##·-
$ ) % & %#$ # $ '
#$- ) % '" $ & $ %$ "
#"+!"## h' %"&# #
$ &"# #$#+ $" $ $$ #" ' %
!" %$"#%$177+=+<+78+>-;+.--2
$ $ %# # #$#
-
Lists can also be defined in the Calculator
application
9=
48676(##$"%$#%$ )
!
$ " &" $ ! # !! ! ! !$ ' + "
! !$ !# #&- "!&! '+
! $" ! % ! ! ! ! !
"!!! "!!%!.~721/+
6 $& .! !(/ "! ! ! ! - + & ! $
$+
!* 4 !& ! % 84,4+ ! 4 $ ! " & b !! ##+
*!&"!!!"!%+
*!&"!%+! "!&)&"$&!
! !! $+ ! !! &" ! ! "!"!!& ! ! "! $$+
b!!#" ! #! !+
- !!!!" !!&"$"%! !
" !) !)#
!$ )" +
" ! "! !" "$&" 2 ! & &".º/&" !!" . b16/+ !"!" !
&" £"!!" !!$ g ¡¢
! !!" &"$! !"+
05343% !"! "!&
67
!
# ! (#&%&# 1$!# $%$%*% !%&#%# # !/
(%# &%$$%!$% $)! (%$( #$-&$%$&#% %
# %## &% #;/
•
#%( !.3c%$%/
•
$ % & % !%&# !% # % &$ 3 b3224
&$ &$%%#*./
•
'#%*!*%*!%'#
•
$+% &3 b1214/
•
'% 8!%&#%&##%'& #*!#$$/^/
•
' % % ! (# * & $%#&% % %#/ $$#* &! ! % & %'#-%# '%/ %%%%$$%#/
•
%&#% !8/<9!#$$/^/
% #& % $ !#%#- 7-
%$ & !%&# ($ $%/ %#$% '#% ' '$ &$ &% %
!%&# 3// 4/ %# % %
#& & # %# % & 3b3214/# '! %
# & $ % & &% % %% # #%/ 3 % !!) #
#$ &%&$%$%&#4/
* & ' % * & * # % $&# %
$% %%# % %#*
! !%&# %$ '&$ %
!#$% !/ ( & $& %&#$ &$ % ' ! &#$% %#
#,
%$"&%! $$% #%# $#%%
'&$ # &% $ %% ' $(# % &##% &%/ #
)!- % $# $ ( # &$$ %
% $ %% (# &$ &% # :. %# #!$ # !# * $% #(
##!/ 0%( ##*%'&$* &
$ # #% # %$22 &% # : * &
(# $ % ' % #!$ # &-
%&% $/
:7
59787)$
$%#&%$&% *
#
#! #" "! ! #!#) "' ! % #""'+ % " #
"!!"!+
•
•
" " !! b51"!%"
"#""+
"" "
'#""! &%"!"
"# "'#"!+
! #" ! # %+
•
!! b5 + ! "
' "! "" $ %*
" ""'" !(#!+
•
& " %" #! " ! +
•
%#!"" + #
% ! " $#! " " )'# " 2+4 '# %
! "" " #" $
" "+
$#",!""!!"!
' % # "
" !$ '!%' "!
!" ! + " 2+5 '# #" ! " 6 " %
# !!/T +
"!"! "!"# "!! % "
$ #!! ' #"" + " !
#!! ' #"! "+ ! "
$ " !" "% " %!
#!"#!"" "
!- '#" #+ . ~51/+
" "$'$"# ! $ "!"
"# ! %".ô/ +
The Function Table view is an alternative
for any Lists & Spreadsheet page. You can
toggle between the two views using /T
03121&!!" #"!#"'
52
!
# ! ! % !! # # !% ( ! ,! -) *
& ! !% ) # ( #
( # ,! &- ,! !%-) *
$ # # # $ '
"%!! (#
$%! )
#
•
!
•
! ! •
&
•
# !!"+
•
! . % •
! •
!%
32
/2010$ ! ! %
!
" "
$ *
- ' # '
! ) # # - ! ! #
! 6)
% %! " ! %! ! 6) ! 20 30 +% !, !
15"!!)
•
! &)
•
! # + # !,)
•
! &)
# c
)
Randomly distributed points: no
variables have yet been assigned.
" ! # %(
)x )
! % !' !
! ·
x)
%%!# )
b1 % !'
#" % )!%!"
% ! " '
% " !
$ )
% #)
.2010$ ! ! %
43
!$&
'#$!$ # " & ! % % " %#% &
"
"!
$##
% & ! # b24%
! # &
&
!#
"#&
"%
" # &
!*
""&
#
% ! ! & # #
!#& !# ! "&
!#
#
&
'
% && % ! & #
/r(Ó)&
//
+.,-,
"
#
"%'
)$%"%!
""
&%
! %
#!%
$
x !%
"%
"
#$
" % "#
%
##
" " "$ ($ ! % " %
& $
!" " " "
%
Move to the middle of the line to get the translate
cursor. Click and hold x to grab it. Now move the line
into position. Click again x to release the cursor.
Move towards one end of the line to show the rotate
cursor. Click and hold x to grab it. Use the Touchpad
to rotate the line. Click again x to release the cursor.
'*()(!"
+,
"
$ !##
! 3 #$ '
b461 ! # !#7"6'
% # '
! ##
&
0'
##
h#
%''7*+'
=MEDIAN(h·
1' !
%#
'
!!
b41 ' * ! # )52(3'+
# '
# !0 '
Press e to move to
the next box.
%##'
# ! # !
'
34
,1/0/
"
#
"$
%!""
! ! *&* "&
!! ! !$ ! ! ! $ ! !! ! #& " #& ) ! $& ! ! ! !! !#)
! ! !" ! !& ! !!! " ! ( !" !
!)!!$&"
!! !!! ' )"!!! $!&2%1
"!)
# ! " ! ! #& ! ! !) " ! $! ! "$ $ ! ! ! ! !) x)
# ! " ! # !! ! ! !! # ! ! ! )
$(!! #!!!! %"!)
This shows the effect of changing a single hand-span value from 21cm to 32cm.
! #" !"! $ ! " ! ' ) $ $
% ! $& $ $ $!
!!!" * )!!&!" !
!#$!!
#" !"!) " ! $" #!
"& !! ! ! "&!)
+.,-,% !"! "!&
/0
"&(
)$&"&!
b411! !!!&
$'( 2 ! ,
"! ! $ &" $! ! "!
!! ! "! ! !! !-)
!$ !!2 !!%"!
! # 2 ! %( ! !
"! " ! ,$ ! ! !&
"-)
# &" ! "& !! ! ! "!+!! "!
!" !#5($ ! !
, ! * ' 4!6-)
! !) #!
! ' & b35 !
! # ( ! !! ! & b25 ! ! "
#) $" ! $( !
$ ! !! & c !
!) b25(! $#&"!
"&!$')
$#&"!$) & % ! & b12)
&" $!"! &"&
! " ! ! & b222)
#&""! ( &"!"!! &"$!!
!!)
46
.3121% !"! "!&
!
!
•
& #&" '
•
! •
$ •
! %!% •
!% •
! % & •
•
# !% (+)*)$ ! ! %
,-
! ! ! $ $ , $&" $("!&
, " $$& !(# # " $
* +&""! !
& " ) " (
$ " # $ " ! $ $ ( $! $ " $ $ (
"!&$ "&$ "
(
•
•
•
•
•
•
•
" "
(
(
$"
(
- . ( ' (
" &
(
( $(
$ !( ( h( $ -&&
.·(
"$ %(
30
/2010# $
!%(
"$
•
•
•
•
•
•
&' *
( $ " ! $" #
*
#$##!($
-!($"#&#.*
!##$" * ( !"" ·*
" & #$! %$" # !$" $*
# ! # #! %!" $"#*
## # # ## ! ! #
" " # $!!# "$!#" # !%$" *
!
•
•
•
•
•
#/##"#" *
" # %! ! #
!)# '" ! #
%!#'"*
!#!"(# !
#!###!
#*
#!' *
" # %! ! #
!)# '" ! # %!#
'"*
•
•
•
•
•
#$!### *
! # !$! # ! # % # $# *
%& # $# # ($ %
##" !"#*
%& # !#" " "& #
#&"##! #"*
$ ( # $ # # &&
"##" $" # # &
! # &+ $ ,
b52*
03121'""#!$#"$#(
42
•
•
•
#
#
$
" #
•
•
•
# #
" #
$#
!
)(
%(&'&
!%(
"$
•
•
•
•
•
•
•
$)
! & " +b34)
!%!&!)
! $ " & ! !& !
#$ ! ! ! "!'!% )
$ !
&"*b31)
!)
$&"!"!
"# ! ! ! ! !( " ! &"! !!)
! ! ! !! ! !' !")!
&' " ! !!)
" #
,/-.-% !"! "!&
10
To download free video tutorials, software updates and classroomtested activities with teacher and student notes, visit the virtual
resource, Nspiring Learning. You can also comment on other
teachers' activities or share your own.
Download