Principles and Standards for School Mathematics
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;
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)
identify essential quantitative relationships in a situation and determine the class or classes of functions that might model the relationships;
use symbolic expressions, including iterative and recursive forms, to represent relationships arising from various contexts;
draw reasonable conclusions about a situation being modeled.
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 (6 - 8)
discuss and understand the correspondence between data sets and their graphical representations, especially histograms, stem-and-leaf plots, box plots, and scatterplots.
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.
Use representations to model and interpret physical, social, and mathematical phenomena