MAT-00.DPS.D.01 Sort and classify objects (up to 10) based on attributes and explain the reasoning used.

MAT-01.DPS.D.01Collect, organize and represent data with up to three categories using picture and bar graphs.

MAT-02.DPS.D.01 Formulate questions and collect, organize, and represent data, with up to four categories using single unit scaled pictures and bar graphs.

MAT-03.DPS.D.01 Formulate questions to collect, organize, and represent data with more than four categories using scaled pictures and bar graphs.

MAT-04.DPS.D.01 Formulate questions to collect, organize, and represent data to reason with math and across disciplines.

MAT-06.DPS.DA.01 Write a statistical question that can be answered using measures of center or variability of a data set.

MAT-07.DPS.DA.01 Identify the strengths and weaknesses of a population sample, including possible bias in the process of the data collection.

MAT-12.DPS.06 Use data from a sample survey to estimate a population means or proportion; develop a margin of error through the use of simulation models for random sampling.

MAT-12.DPS.09 Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each.

Displaying Data

MAT-01.DPS.D.01Collect, organize and represent data with up to three categories using picture and bar graphs.

MAT-02.DPS.D.01 Formulate questions and collect, organize, and represent data, with up to four categories using single unit scaled pictures and bar graphs.

MAT-03.DPS.D.01 Formulate questions to collect, organize, and represent data with more than four categories using scaled pictures and bar graphs.

MAT-04.DPS.D.01 Formulate questions to collect, organize, and represent data to reason with math and across disciplines.

MAT-02.DPS.D.02 Generate data and create line plots marked in whole number units.

MAT-03.DPS.D.02 Generate data and create line plots marked in whole numbers, halves, and fourths of a unit.

MAT-04.DPS.D.02 Generate data and create line plots to display a data set of fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots.

MAT-05.DPS.D.01 Generate data and create line plots to display a data set of fractions of a unit (1/2, 1/4, 1/8). Use grade-level operations for fractions to solve problems involving information presented in line plots.

MAT-06.DPS.DA.04 Display numerical data in plots on a number line, including dot plots and histograms. Describe any overall patterns in data, such as gaps, clusters, and skews.

MAT-09.NO.03 Choose and interpret the scale and the units in graphs and data displays.

MAT-09.NO.05 Choose a level of accuracy or precision appropriate to limitations on measurement when reporting quantities.

MAT-10.DPS.01 Represent data with plots on the real number line (dot plots, histograms, and box plots).

MAT-10.DPS.03 Represent data on two quantitative variables on a scatter plot and describe how the variables are related.

MAT-10.DPS.10 Construct and interpret two-way frequency tables of data for two categorical variables. Use the two-way table as a sample space to decide if events are independent and approximate conditional probabilities.

MAT-12.NO.04 Use units as a way to understand problems and to guide the solution of multi-step problems (e.g., unit analysis). Choose and interpret units consistently in formulas. Choose and interpret the scale and the units in graphs and data displays.

MAT-12.DPS.04 Represent data on a scatter plot for two quantitative variables and describe how the variables are related.