tinkerplots iii dr. carryn bellomo unlv department of mathematical sciences [email protected]
TRANSCRIPT
Tinkerplots IIITinkerplots III
Dr. Carryn BellomoDr. Carryn Bellomo
UNLV Department of Mathematical SciencesUNLV Department of Mathematical [email protected]
Tinkerplots BasicsTinkerplots Basics
We have seen how Tinkerplots helps you We have seen how Tinkerplots helps you see trends and patterns in datasee trends and patterns in data
Today we will go over lessons you can use Today we will go over lessons you can use with your class, and gathering data from with your class, and gathering data from the internet.the internet.
Tinkerplots BasicsTinkerplots Basics
How many need a quick Tinkerplot How many need a quick Tinkerplot refresher?refresher?
There are movies to help you.There are movies to help you.Located in: Tinkerplots Help Located in: Tinkerplots Help MoviesMovies– Adding Data (entering your own data set)Adding Data (entering your own data set)– Comparing Groups (Occupational Data)Comparing Groups (Occupational Data)– Exploring Relationships (Ozone Levels)Exploring Relationships (Ozone Levels)– Making Common Graphs (Student Data)Making Common Graphs (Student Data)– Tinkerplot Basics (Cat Data)Tinkerplot Basics (Cat Data)
Tinkerplots ActivitiesTinkerplots Activities
Refresher Example:Refresher Example:1.1. Heaviest BackpacksHeaviest Backpacks
Sample Lessons:Sample Lessons:2.2. Roll of 6-sided number cubeRoll of 6-sided number cube
3.3. Price of GasPrice of Gas
4.4. Finding PiFinding Pi
5.5. Birthrates over time (data imported from web)Birthrates over time (data imported from web)
6.6. Maintaining Balance (data imported from web)Maintaining Balance (data imported from web)
Try it Yourself (time permitting):Try it Yourself (time permitting):7.7. Collect data that interests you, and tell us about it!Collect data that interests you, and tell us about it!
Refresher – Heaviest BackpacksRefresher – Heaviest Backpacks
Here we will explore the backpack weights Here we will explore the backpack weights of studentsof students
The data cards given have information onThe data cards given have information on– First name of studentFirst name of student– Gender of studentGender of student– Grade level of studentGrade level of student– Weight of student in poundsWeight of student in pounds– Weight of student’s backpack in poundsWeight of student’s backpack in pounds
Refresher – Heaviest BackpacksRefresher – Heaviest Backpacks
Open “Open “Heaviest Backpacks.tpHeaviest Backpacks.tp””Located in:Located in: Data and DemosData and Demos Exploring Data StartersExploring Data Starters
What kind of relationships do we expect to What kind of relationships do we expect to find?find?
How should we organize the data?How should we organize the data?
Refresher – Heaviest BackpacksRefresher – Heaviest Backpacks
Investigate the Data:Investigate the Data: Is there a relationship between packweight Is there a relationship between packweight
and grade? Compare the mean and grade? Compare the mean packweight for each grade level.packweight for each grade level.
Do girls tend to carry lighter backpacks Do girls tend to carry lighter backpacks than boys?than boys?
Does a person who weighs more carry a Does a person who weighs more carry a heavier pack?heavier pack?
Lesson – Roll of DiceLesson – Roll of Dice
Motivation:Motivation:When rolling two six-sided number cubes, When rolling two six-sided number cubes, what number(s) are the most likely what number(s) are the most likely outcomes? By how much?outcomes? By how much?
Data can be gathered in two ways:Data can be gathered in two ways:─ Students can be given six-sided number Students can be given six-sided number
cubes, and asked to roll and record their cubes, and asked to roll and record their resultsresults
─ Students can use computer software to Students can use computer software to simulate random rolls of dicesimulate random rolls of dice
Lesson – Roll of DiceLesson – Roll of Dice
Lesson Objectives:Lesson Objectives:Determine probabilities, frequencies, Determine probabilities, frequencies,
construct a frequency distribution, etc.construct a frequency distribution, etc.
Materials Needed:Materials Needed:Six-sided number cubes, or softwareSix-sided number cubes, or softwareTinkerplotsTinkerplots
Lesson – Roll of DiceLesson – Roll of Dice
1.1. Collect dataCollect data─ Students should tally the number of times the sum Students should tally the number of times the sum
of die gives a roll (2 through 12)of die gives a roll (2 through 12)─ The more data collected the better. Why?The more data collected the better. Why?
2.2. Enter data into TinkerplotsEnter data into Tinkerplots─ Drag out a Drag out a TableTable─ Add two new attributes by double clicking and Add two new attributes by double clicking and
typing in:typing in: RollValueRollValue is the value of the roll, and is the value of the roll, and FrequencyFrequency is the no. of times value was rolled is the no. of times value was rolled
─ Enter the data by hand (see next slide)Enter the data by hand (see next slide)
Lesson – Roll of DiceLesson – Roll of Dice
3.3. Get the data from the InternetGet the data from the Internet─ Go to the websiteGo to the website
http://www.unlv.edu/faculty/bellomohttp://www.unlv.edu/faculty/bellomo
─ Click on the link for Click on the link for 77thth Grade Grant Grade Grant─ Under Under Measurement SeminarMeasurement Seminar─ Open the file called “Open the file called “Excel_Mar06.xlsExcel_Mar06.xls””─ This data is under the “This data is under the “Class ExClass Ex” tab” tab
Enter the data into Tinkerplots manuallyEnter the data into Tinkerplots manually
Lesson – Roll of DiceLesson – Roll of Dice
4.4. Create a histogramCreate a histogram─ Drag out a Drag out a PlotPlot─ Drag Drag FrequencyFrequency to the vertical axis, and to the vertical axis, and
RollValueRollValue to the horizontal axis to the horizontal axis─ Drag the points up and to the right until the Drag the points up and to the right until the
data is fully separateddata is fully separated─ Change Change Circle IconCircle Icon to to Value Bar VerticalValue Bar Vertical
Lesson – Roll of DiceLesson – Roll of Dice
5.5. Find the ProbabilityFind the Probability─ Open the table (if it isn’t already)Open the table (if it isn’t already)─ Name a new attributeName a new attribute─ Click on Click on TableTable and and Show FormulasShow Formulas─ Double click on the gray box underneath Double click on the gray box underneath
your new attribute (the formula dialogue box your new attribute (the formula dialogue box will come up)will come up)
─ Type in the formula for probability, i.e. Type in the formula for probability, i.e. Frequency/(No. of Trials)Frequency/(No. of Trials)
─ Click Click OKOK
Lesson – Roll of DiceLesson – Roll of Dice
6.6. Investigate data to answerInvestigate data to answer─ Which roll(s) occur most frequently? Why?Which roll(s) occur most frequently? Why?─ Which roll(s) occur least frequently? Why?Which roll(s) occur least frequently? Why?─ What is the probability of rolling a 7?What is the probability of rolling a 7?
Lesson – Price of GasLesson – Price of Gas
Motivation:Motivation:How have gas prices fluctuated through How have gas prices fluctuated through the years?the years?
Here, data will be taken from the internet Here, data will be taken from the internet and analyzed to answer the above and analyzed to answer the above question.question.
Lesson – Price of GasLesson – Price of Gas
Lesson Objectives:Lesson Objectives:Determine the price of gas (in $ per barrel) Determine the price of gas (in $ per barrel)
after adjusting the price of the dollarafter adjusting the price of the dollar
Materials Needed:Materials Needed:Access to data (internet)Access to data (internet)TinkerplotsTinkerplots
Lesson – Price of GasLesson – Price of Gas
1.1. Get the data from the InternetGet the data from the Internet─ Go to the websiteGo to the website
http://www.unlv.edu/faculty/bellomohttp://www.unlv.edu/faculty/bellomo
─ Click on the link for Click on the link for 77thth Grade Grant Grade Grant─ Under Under Measurement SeminarMeasurement Seminar─ Open the file called “Open the file called “Excel_Mar06.xlsExcel_Mar06.xls””─ This data is under the “This data is under the “Crude OilCrude Oil” tab” tab
Lesson – Price of GasLesson – Price of Gas
2.2. Get the data into TinkerplotsGet the data into Tinkerplots─ Highlight the data on the webpageHighlight the data on the webpage─ Copy the data by holding down the Copy the data by holding down the ControlControl
key and pressing key and pressing CC─ Go to a blank page in TinkerplotsGo to a blank page in Tinkerplots─ Pull out a stack of data cardsPull out a stack of data cards─ Go to Go to EditEdit, then , then Paste CasesPaste Cases─ Label the attributes (Label the attributes (YearYear, , DollarDollar, , OilPriceOilPrice))
Lesson – Price of GasLesson – Price of Gas
3.3. Create a scatterplotCreate a scatterplot─ Drag out a Drag out a PlotPlot─ Drag Drag OilPriceOilPrice to the vertical axis, and to the vertical axis, and YearYear
to the horizontal axisto the horizontal axis─ Drag the points up and to the right until the Drag the points up and to the right until the
data is fully separateddata is fully separated─ Right click on any one data point and click Right click on any one data point and click
on on Show Connecting LinesShow Connecting Lines
Lesson – Price of GasLesson – Price of Gas
4.4. Analyze the dataAnalyze the data─ Are there any trends in the data?Are there any trends in the data?─ When were gas prices the highest?When were gas prices the highest?─ What is the major flaw in our analysis of this What is the major flaw in our analysis of this
data?data?
Lesson – Price of GasLesson – Price of Gas
5.5. Account for fluctuation in the dollar by adding a Account for fluctuation in the dollar by adding a new attributenew attribute
─ Open the table (if it isn’t already)Open the table (if it isn’t already)─ Name a new attributeName a new attribute─ Click on Click on TableTable and and Show FormulasShow Formulas─ Double click on the gray box underneath your new Double click on the gray box underneath your new
attribute (the formula dialogue box will come up)attribute (the formula dialogue box will come up)─ Type in the formula for the cost per barrel in today’s Type in the formula for the cost per barrel in today’s
dollar, i.e. dollar, i.e. OilPrice*TodayDollarOilPrice*TodayDollar─ Click Click OKOK
Lesson – Price of GasLesson – Price of Gas
6.6. Create a scatterplot with Today’s Create a scatterplot with Today’s Dollar price of oilDollar price of oil
7.7. Answer the questions againAnswer the questions again─ Are there any trends in the data?Are there any trends in the data?─ When were gas prices the highest?When were gas prices the highest?
Lesson – Finding PiLesson – Finding Pi
Motivation:Motivation:Using the relationship of circumference to Using the relationship of circumference to diameter to find an estimate for Pidiameter to find an estimate for Pi
Lesson – Finding PiLesson – Finding Pi
Lesson Objectives:Lesson Objectives: Identify linear relationships, relate two Identify linear relationships, relate two
variables, plot lines, ratio.variables, plot lines, ratio.
Materials Needed:Materials Needed:Several spherical objectsSeveral spherical objectsMeasuring tapeMeasuring tapeTinkerplotsTinkerplots
Lesson – Finding PiLesson – Finding Pi
1.1. Collect dataCollect data─ Students should record the circumference and Students should record the circumference and
diameter for each object in a tablediameter for each object in a table─ Be careful of units!Be careful of units!
2.2. Enter data into TinkerplotsEnter data into Tinkerplots─ Drag out a Drag out a TableTable─ Add two new attributes by double clicking and Add two new attributes by double clicking and
typing in:typing in: ObjectObject is the object that was measured is the object that was measured CircumferenceCircumference, and , and Diameter Diameter
Lesson – Price of GasLesson – Price of Gas
3.3. Get the data from the InternetGet the data from the Internet─ Go to the websiteGo to the website
http://www.unlv.edu/faculty/bellomohttp://www.unlv.edu/faculty/bellomo
─ Click on the link for Click on the link for 77thth Grade Grant Grade Grant─ Under Under Measurement SeminarMeasurement Seminar─ Open the file called “Open the file called “Excel_Mar06.xlsExcel_Mar06.xls””─ This data is under the “This data is under the “Finding PiFinding Pi” tab” tab
Lesson – Finding PiLesson – Finding Pi
4.4. Create a scatterplotCreate a scatterplot─ Drag out a Drag out a PlotPlot─ Drag Drag CircumferenceCircumference to the vertical axis, and to the vertical axis, and
DiameterDiameter to the horizontal axis to the horizontal axis─ Drag the points up and to the right until the Drag the points up and to the right until the
data is fully separateddata is fully separated
Lesson – Finding PiLesson – Finding Pi
5.5. Analyze the dataAnalyze the data─ Does it seem there is a linear relationship Does it seem there is a linear relationship
with this data?with this data?─ Sketch a line through these points, and Sketch a line through these points, and
estimate the slopeestimate the slope
Lesson – Finding PiLesson – Finding Pi
6.6. Estimate PiEstimate Pi─ Open the table (if it isn’t already)Open the table (if it isn’t already)─ Name a new attributeName a new attribute─ Click on Click on TableTable and and Show FormulasShow Formulas─ Double click on the gray box underneath Double click on the gray box underneath
your new attribute (the formula dialogue box your new attribute (the formula dialogue box will come up)will come up)
─ Type in the formula for Type in the formula for CircumferenceCircumference divided by divided by DiameterDiameter
─ Click Click OKOK
Lesson – Finding PiLesson – Finding Pi
7.7. Create a scatterplot with Create a scatterplot with CC//dd along along the verticalthe vertical
8.8. Answer the questionsAnswer the questions─ Does there seem to be a relationship Does there seem to be a relationship
between circumference and diameter?between circumference and diameter?─ When diameter increases, what happens to When diameter increases, what happens to
the circumference?the circumference?─ What is an estimate of the ratio of What is an estimate of the ratio of CC//dd??
Lesson – Birthrates Over TimeLesson – Birthrates Over Time
The data can be found at :The data can be found at : http://lib.stat.cmu.edu/DASL/Datafiles/Birthrates.html
Before We Begin :Before We Begin :Look at the data collection processLook at the data collection processWhat kinds of questions can we answer What kinds of questions can we answer
with this data set?with this data set?
Lesson – Birthrates Over TimeLesson – Birthrates Over Time
Get the data into Tinkerplots:Get the data into Tinkerplots:
1.1. Highlight the data on the webpage Highlight the data on the webpage (including column titles)(including column titles)
2.2. Copy the data by holding down the Copy the data by holding down the ControlControl key and pressing key and pressing CC
3.3. Go to a blank page in TinkerplotsGo to a blank page in Tinkerplots
4.4. Pull out a stack of data cardsPull out a stack of data cards
5.5. Go to Go to EditEdit, then , then Paste CasesPaste Cases
Lesson – Birthrates Over TimeLesson – Birthrates Over Time
Investigate the Data to Answer:Investigate the Data to Answer:What can we say about birthrates from What can we say about birthrates from
1917 through 1975?1917 through 1975?What possible influences were there What possible influences were there
during this time period?during this time period?
Lesson – Maintaining BalanceLesson – Maintaining Balance
The data can be found at :The data can be found at : http://lib.stat.cmu.edu/DASL/Datafiles/Balance.html
Before We Begin :Before We Begin :Look at the data collection processLook at the data collection processWhat kinds of questions can we answer What kinds of questions can we answer
with this data set?with this data set?
Lesson – Maintaining BalanceLesson – Maintaining Balance
Get the data into Tinkerplots:Get the data into Tinkerplots:
1.1. Highlight the data on the webpage Highlight the data on the webpage (including column titles)(including column titles)
2.2. Copy the data by holding down the Copy the data by holding down the ControlControl key and pressing key and pressing CC
3.3. Go to a blank page in TinkerplotsGo to a blank page in Tinkerplots
4.4. Pull out a stack of data cardsPull out a stack of data cards
5.5. Go to Go to EditEdit, then , then Paste CasesPaste Cases
Lesson – Maintaining BalanceLesson – Maintaining Balance
Investigate the Data to Answer:Investigate the Data to Answer:How do the two groups compare in How do the two groups compare in
maintaining both forward and side-to-side maintaining both forward and side-to-side balance?balance?
Is one group more “steady” than the Is one group more “steady” than the other?other?
Try it Yourself !Try it Yourself !
Investigate a topic that interests youInvestigate a topic that interests you– This could be data from the internet, or This could be data from the internet, or – Design a lesson with data you can collect with Design a lesson with data you can collect with
your studentsyour studentsShare with us your ideas!Share with us your ideas!