Tinkerplots III

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


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?


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 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


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)


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


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


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


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 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




─ 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


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))


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


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?


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


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 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


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




─ 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


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


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


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


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?


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


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?


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


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!

ConclusionConclusion

This presentation and handouts can be This presentation and handouts can be found at:found at: http://www.unlv.edu/faculty/bellomohttp://www.unlv.edu/faculty/bellomo

Documents

Tinkerplots III