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Mathematics | Grade : 6
Domain - Statistics and Probability
Cluster - Summarize and describe distributions.
[6.SP.B.5] - Summarize numerical data sets in relation to their context, such as by.
[6.SP.A.2] -
Understand that a set of data collected to answer a statistical question has a distribution, which can be described by its center (median, mean, and/or mode), spread (range, interquartile range), and overall shape.
[6.SP.A.3] -
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.
[6.SP.B.4.a] -
Read and interpret circle graphs.
[AI.S-ID.A.2] -
Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.*
[AI.S-ID.A.3] -
Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).*
[AII.S-ID.A.4] -
Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve.*
[AII.S-IC.B.6] -
Evaluate reports based on data.*
[MI.S-ID.A.2] -
Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.*
[MI.S-ID.A.3] -
Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).*
[MIII.S-ID.A.4] -
Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve.*
[MIII.S-IC.B.6] -
Evaluate reports based on data.*
[7.ESS.2.2] -
Construct an explanation based on evidence for how Earth’s surface has changed over scales that range from local to global in size.
Clarification Statements: Examples of processes occurring over large, global spatial scales include plate motion, formation of mountains and ocean basins, and ice ages. Examples of changes occurring over small, local spatial scales include earthquakes and seasonal weathering and erosion.
[7.PS.2.3] -
Analyze data to describe the effect of distance and magnitude of electric charge on the strength of electric forces. Clarification Statement:
Includes both attractive and repulsive forces. State Assessment Boundaries: State assessment will be limited to proportional reasoning. Calculations using Coulomb’s law or interactions of sub-atomic particles are not expected in state assessment.
[7.PS.3.1] -
Construct and interpret data and graphs to describe the relationships among kinetic energy, mass, and speed of an object. Clarification Statements: Examples could include riding a bicycle at different speeds and rolling different-sized rocks downhill. Consider relationships between kinetic energy vs. mass and kinetic energy vs. speed separate from each other; emphasis is on the difference between the linear and exponential relationships.
State Assessment Boundary: Calculation or manipulation of the formula for kinetic energy is not expected in state assessment.
[7.PS.3.4] -
Conduct an investigation to determine the relationships among the energy transferred, how well the type of matter retains or radiates heat, the mass, and the change in the average kinetic energy of the particles as measured by the temperature of the sample. State Assessment Boundary: Calculations of specific heat or the total amount of thermal energy transferred are not expected in state assessment.
[7.ETS.1.4] -
Generate and analyze data from iterative testing and modification of a proposed object, tool, or process to optimize the object, tool, or process for its intended purpose.*