Fourth Grade

I	Collect data using observations, surveys, and experiments.
I	Understand how data-collection methods could affect the results.
D	Construct tables, pictographs, line graphs, and bar graphs.
D	Interpret simple charts, tables, pictographs, line graphs, and bar graphs.
A	Interpret data displayed in bar graphs and pictographs. http://www.shodor.org/interactivate/activities/bargraph/ http://nces.ed.gov/nceskids/createagraph/
A	Connect data in tables to pictographs, line graphs, or bar graphs. http://www.tv411.org/lessons/cfm/reading.cfm?str=reading&num=10&act=2&que=1 http://www.mcwdn.org/Graphs/BarGraph.html
I	Evaluate how well various representations show the collected data.
D	Explore and determine measures of central tendency (i.e., mean, median, and mode).
A	Determine the median of a data set. http://www.mathsisfun.com/median.html http://www.bbc.co.uk/education/mathsfile/gameswheel.html http://www.harcourtschool.com/activity/elab2002/grade_4/025.html

Fifth Grade

D	Collect data using observations, surveys, and experiments.
D	Understand how data-collection methods could affect the results.
A	Represent and interpret data in bar graphs and pictographs.
D	Represent data using pictographs, bar graphs, tables, circle graphs, and line graphs.
D	Interpret data displayed in pictographs, bar graphs, tables, circle graphs, and line graphs.
D	Use measures of central tendency (i.e., mean, median, and mode).
A	Determine the mean, median, and mode of a data set. www.mathsisfun.com/median.html http://www.mathgoodies.com/lessons/vol8/mode.html
I	Find the range of a data set.
D	Make predictions and justify conclusions based on data.
A	Make predictions based on data.
D	Design investigations to address a question.
D	Examine various graphical representations of data to evaluate how accurately the data is depicted.
I	Explain the importance of sample size in investigations.
D	Describe the likelihood or chance of events as likely, unlikely, certain, equally likely, or impossible.
A	Determine the most likely, least likely, or equally likely outcomes in simple experiments.
D	Use a sample space to predict the probability of an event.
A	Represent the likelihood of an event using a fractional number from zero to one.

Seventh Grade

M	Formulate questions, design studies, and collect real-world data.
D	Construct, interpret, and use multiple-bar graphs, multiple-line graphs, and circle graphs displaying real-world data.
A	Interpret circle graphs displaying real-world data. http://www.gamequarium.com/data.html
A	Interpret bar and line graphs to answer questions and solve real-world problems. http://www.gamequarium.com/data.html
D	Find, use, and interpret measures of center and spread (e.g., mean, interquartile range).
A	Determine the mean for a data set. http://www.gamequarium.com/data.html
A	Determine the median for a data set. http://www.gamequarium.com/data.html
A	Make predictions based on data.
D	Make conjectures and predictions based on data.
D	Recognize misleading representations of data.
A	Connect data sets and their graphical representations (i.e., bar graphs, stem-and-leaf plots, box plots, and scatterplots). http://www.gamequarium.com/data.html
D	Discuss and understand the relationship between data sets and their graphical representations (e.g., bar graphs, line graphs, circle graphs, histograms, stem-and-leaf plots, box plots, and scatterplots).
D	Make conjectures and predictions based on data.
A	Use proportional thinking to make conjectures about results of experiments and simulations.
D	Make conjectures to formulate new questions for future studies.
D	Determine the probability for an outcome in an experiment.
A	Connect the symbolic representation of a probability to an experiment.
D	Construct a tree diagram to determine all possible outcomes of a simple event.

Eighth Grade

D	Formulate questions, design studies, and collect real-world data for investigations using a variety of collection methods (e.g., random sampling and simulations).
A	Interpret appropriate graphical representations of data (i.e., histograms, box plots, and scatterplots).
D	Select, create, and use appropriate graphical representations of real-world data (e.g., histograms, box plots, and scatterplots).
D	Determine and interpret measures of center and spread (e.g., mean, median, and interquartile range).
A	Determine the mean of a given set of real-world data.
A	Determine the median of a given set of real-world data (even number of data).
I	Develop meaning for frequency, distribution, and outliers.
A	Connect data sets and their graphical representations (i.e., histograms, stem-and-leaf plots, box plots, and scatterplots).
D	Connect data sets and their graphical representations (e.g., bar graphs, line graphs, and circle graphs).
A	Make conjectures and predictions based on data.
A	Recognize misleading presentations of data.
I	Develop meaning for lines of best fit.
A	Identify an appropriate sample to test a given hypothesis.
D	Make conjectures to formulate new questions for future studies.
I	Develop meaning of mutually exclusive events.
A	Connect the symbolic representation of a probability to an experiment.
D	Use a variety of methods to compute probabilities for compound events (e.g., multiplication, organized lists, tree diagrams, and/or area models).
I	Distinguish between theoretical and experimental probability.
D	Find the probability of dependent and independent events.