wheels and distance
TRANSCRIPT
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Wheels and DistanceIntroductory Presentation
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Opening Activity
In Full Speed Ahead we made our robot moveforward with the program below.
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Opening Activity
1. How far did your robot move forward?
In this program
!. "hat affe#ted the distan#e it moved?
$. How #ould you get it to move a longer distan#e?
A shorter distan#e? An e%a#t distan#e you want?
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Opening Activity
&any things affe#ted how far your robot traveled.
' (he number of degrees your "ait For blo#)
is set to wait for
'(he si*e of your tires
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Wheels and Distance
In this a#tivity we+re going to program ourrobot to move an e%a#t distan#e.
(o do so we must understand a few things
about #ir#les.
S(A,( FI-ISH
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Review
et+s start with the basi#s.Answer the following
1. "hat is a radius of a #ir#le?
!. "hat is a diameter of a #ir#le?
$. "hat is the formula for the
#ir#umferen#e of a #ir#le?
(he distan#e from the
#enter to the outside of
a #ir#le.
(he distan#e/ through a
#ir#le+s #enter/ from one
edge to another.
0ir#umferen#e
diameter 2
r
d
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Preview
"ith our )nowledge of #ir#umferen#e/ we
#an start figuring out how to #ontrol the
distan#e our robot goes.
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Preview
First/ we need to understand that the
#ir#umferen#e of a #ir#le is really 3ust a line
#urled around a #enter point.
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Review
From this/ we )now that the #ir#umferen#e of a
#ir#le and the length of the line it rolls out are
e4ual in length. Finish the following
d 50ir#umferen#e 5 2
ength of ine
So we )now that6
5 2
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Preview
et+s try a few more. Finish this #hart
ength of line 0ir#umferen#e
1 meter
! meters
7 meters
1 meter
! meters
7 meters
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Preview
8redi#t what would happen if we were to #hangethe number of rotations that the wheel ma)es?
9r #hange the diameter of the wheel?
9n#e you have #ompleted the
a#tivity #he#) your predi#tion
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Preview
In the meantime/ let+s review a few more topi#s
that you will need to su##essfully #omplete the
"heels and :istan#e Investigation.
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Review: Average
(o find the averageof a #olle#tion of
measurements
'Add all of your measurements together
':ivide by the number of measurements
Average &easurement 1 ; &easurement ! ; &easurement $
$
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Review: Average
Suppose your robot moved forward three times
with distan#es of meters. "hat is
the average distan#e it moved forward?
Average ;
of measurements
&easurement 1 &easurement ! &easurement $;< = 1>
$
7 meters
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(here are $=>@ in one full rotation of a wheel
Review: Degrees
>@
>@
1B>@
!7>@
$=>@
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Review: Degrees
If there are $=>in one rotation of a wheel/
how many degrees are there in two rotations?
Answer 7!>
7!>@ ! rotations 2 $=>
Co to the ne%t page for more pra#ti#eD
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0omplete the following #hart to get some pra#ti#e
of :egrees 9f ,otations
1 rot.
$ rot.
1.< rot.
$=>@
1>B>@
@
Review: Degrees
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Review
Eeep the following in mind as you #omplete
the "heels and :istan#e Investigation
'0ir#umferen#e the length of line a #ir#le rolls out
'0ir#umferen#e diameter 2
'Average sum of measurements
number of measurements
'(here are $=>@ in one rotation of a #ir#le
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Review: Scientific Inquiry
Scientific Inquiry
(his is the pro#ess by whi#h
people as) 4uestions/ and
see) out answers to their4uestions through the use of
e%periments and s#ientifi#
)nowledge.
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Review: Scientific Inquiry
ypothesis
A )ey element to S#ientifi# In4uiry is the
s#ientistGs hypothesis. A hypothesis is an
edu#ated guess #on#erning the out#ome
of the in4uiry pro#ess and the e%periments
#ondu#ted within.
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-ow you have the ne#essary )nowledge to getstarted in the "heels and :istan#e Investigation.
!ood "uc#$