Principles and Standards for School Mathematics
Understand patterns, relations, and functions
Expectations (9 - 12)
understand relations and functions and select, convert flexibly among, and use various representations for them;
Represent and analyze mathematical situations and structures using algebraic symbols
Expectations (6 - 8)
explore relationships between symbolic expressions and graphs of lines, paying particular attention to the meaning of intercept and slope;
use symbolic algebra to represent situations and to solve problems, especially those that involve linear relationships;
Expectations (9 - 12)
understand relations and functions and select, convert flexibly among, and use various representations for them;
Use mathematical models to represent and understand quantitative relationships
Expectations (6 - 8)
explore relationships between symbolic expressions and graphs of lines, paying particular attention to the meaning of intercept and slope;
use symbolic algebra to represent situations and to solve problems, especially those that involve linear relationships;
model and solve contextualized problems using various representations, such as graphs, tables, and equations.
Expectations (9 - 12)
understand relations and functions and select, convert flexibly among, and use various representations for them;
draw reasonable conclusions about a situation being modeled.
Apply appropriate techniques, tools, and formulas to determine measurements.
Expectations (6 - 8)
select and apply techniques and tools to accurately find length, area, volume, and angle measures to appropriate levels of precision;
Data Analysis and Probability Standard
Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them
Expectations (6 - 8)
select, create, and use appropriate graphical representations of data, including histograms, box plots, and scatterplots.
Select and use appropriate statistical methods to analyze data
Expectations (6 - 8)
select, create, and use appropriate graphical representations of data, including histograms, box plots, and scatterplots.
discuss and understand the correspondence between data sets and their graphical representations, especially histograms, stem-and-leaf plots, box plots, and scatterplots.
Develop and evaluate inferences and predictions that are based on data
Expectations (6 - 8)
select, create, and use appropriate graphical representations of data, including histograms, box plots, and scatterplots.
discuss and understand the correspondence between data sets and their graphical representations, especially histograms, stem-and-leaf plots, box plots, and scatterplots.
make conjectures about possible relationships between two characteristics of a sample on the basis of scatterplots of the data and approximate lines of fit;