The cumulative progress indicators for grade 8 appear below in boldface type. Each indicator is followed by activities which illustrate how it can be addressed in the classroom in grades 7 and 8. Represent and describe mathematical relationships with tables, rules, simple equations, and graphs. Students use calculators to investigate which fractions have decimal equivalents that terminate and which repeat. They summarize their findings in their math journals.
Students study patterns made by the units digit in the expansion of powers of a number.
Students record their findings in a table or as a graph on rectangular coordinate paper. They write a paragraph justifying their answer. They then similarly investigate the patterns made by the units digit in the expansion of the powers of other one-digit numbers. Students consider what happens if you start with two bacteria on a kitchen counter and the number of bacteria doubles every hour. They make a table and graph their results, noting that the graph is not linear.