Use patterns, relationships, and functions to model situations and to solve problems in mathematics and in other subject areas. Students analyze a given series of terms and fill in the missing terms. Students develop an awareness of the assumptions they are making. Students compare different pay scales, deciding which is a better deal. They create a table comparing the pay for different numbers of hours worked and decide at what point the hourly rate becomes a better deal.
Students supply missing fractions between any two given numbers on a number line.
For example, students might label each of five intervals between 59.34 and 59.35. Students decide how many different double-dip ice cream cones can be made from two flavors, three flavors, and so on up to Baskin and Robbins' 31 flavors. They arrange the information in a table. They discuss whether one flavor on top and another on the bottom is a different arrangement from the other way around, and how that would change their results. Students predict how many times they will be able to fold a piece of paper in half.