Principles and Standards for School Mathematics
Understand patterns, relations, and functions
Expectations (9 - 12)
understand and perform transformations such as arithmetically combining, composing, and inverting commonly used functions, using technology to perform such operations on more-complicated symbolic expressions;
Use mathematical models to represent and understand quantitative relationships
Expectations (9 - 12)
understand and perform transformations such as arithmetically combining, composing, and inverting commonly used functions, using technology to perform such operations on more-complicated symbolic expressions;
identify essential quantitative relationships in a situation and determine the class or classes of functions that might model the relationships;
draw reasonable conclusions about a situation being modeled.
Understand measurable attributes of objects and the units, systems, and processes of measurement
Expectations (9 - 12)
make decisions about units and scales that are appropriate for problem situations involving measurement.
Data Analysis and Probability Standard
Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them
Expectations (9 - 12)
understand histograms, parallel box plots, and scatterplots and use them to display data;
Select and use appropriate statistical methods to analyze data
Expectations (9 - 12)
understand histograms, parallel box plots, and scatterplots and use them to display data;
for bivariate measurement data, be able to display a scatterplot, describe its shape, and determine regression coefficients, regression equations, and correlation coefficients using technological tools;
identify trends in bivariate data and find functions that model the data or transform the data so that they can be modeled.
Recognize and apply mathematics in contexts outside of mathematics