Data Analysis and Probability
Early Childhood Grades PreK-2
First Grade
Represent and Interpret data
Collect, organize, and represent data with up to 3 categories
Be able to ask and answer questions about:
The total amount of data
How many in each category
How many more or less in one category than in another
Kindergarten
"I Scream, You Scream: Data Analysis with Kindergarteners"
http://www.jstor.org.nuncio.cofc.edu/stable/pdf/41199965.pdf
Use object and picture graphs to represent the data
Draw conclusions from the graphs
Classify objects into 2-3 categories
Data cannot exceed 20 in each category
Sort the categories by count
Elementary Grades 3-5
Third Grade
Represent and interpret data
Generate measurement data
Measure objects using a ruler with halves and fourths
Collect, organize, classify, and interpret data with multiple categories
Draw a scaled picture and bar graph to represent a data set with several categories
Solve one and two step "how many more" and "how many less" problems using information from graphs
Middle Grades 6-8
Sixth Grade
Eighth Grade
Second Grade
Represent and interpret data
Draw a picture graph or bar graph to represent data
Solve put-together, take apart, and compare problems using information from graphs
Draw conclusions from these graphs
Can use up to 4 categories
Generate measurement data
Organize this data in a line plot using a horizontal scale
Measure objects in whole unit lengths
Show data by making a line plot with a horizontal scale marked with whole numbers, halves, and quarters
Draw conclusions from object graphs, picture graphs, t-charts, tallies and bar graphs
Fourth Grade
Represent and interpret data
Create a line plot to display a data set
Interpret the line plot
Fifth Grade
Represent and interpret data
Create a line plot consisting of unit fractions
Use operations on fractions to solve problems related to the line plot
Develop understanding of statistical variability
Differentiate between statistical and non-statistical questions
Use center, spread, and shape to describe the distribution of a set of data collected to answer a statistical question
Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number
Select and create an appropriate display for numerical data: dot plots, histograms, and box plots
Describe numerical data sets in relation to their real-world context
State the sample size
Describe the qualitative aspects of the data
Give measures of center
Find measures of variability using a number line
Describe the overall pattern of the distribution
Justify the choices for measure of center and measure of variability based on the shape of the distribution
Describe the impact that inserting or deleting a data point has on the measures of center a data set
Investigate patterns of association in bivariate data
Draw an approximate line of best fit on a scatter plot that appears to have a linear association and informally assess the fit of the line to the data points
Apply concepts of an approximate line of best fit in real-world situations
Investigate bivariate data
Describe patterns observed on a scatter plot, including clustering, outliers, and association
Graph the bivariate data on a scatter plot
Collect bivariate data
Find an approximate equation for the line of best fit using two appropriate data points
Interpret the slope and intercept
Solve problems using the equation
Organize data in matrices with rational numbers and apply to real-world and mathematical situations
A matrix is a way to organize data
Recognize that a đť‘š Ă— đť‘› matrix has đť‘š rows and đť‘› columns
Add and subtract matrices of the same size
Multiply a matrix by a scalar