Students interpret and evaluate expressions involving integer powers and simple roots. 2.1 interpret positive whole number powers as repeated multiplication and negative whole numbers as repeated division or multiplication by the multiplicative inverse. Simplify and evaluate expressions that include exponents. Students graph and interpret linear and some non-linear functions. Fit a line to the plot and understand that the slope of the line equals the quantities.
Students solve simple linear equations and inequalities over the rational numbers.
Students choose appropriate units of measure and use ratios to convert within and between measurement systems to solve problems. Students know the Pythagorean Theorem and deepen their understanding of plane and solid geometric shapes by constructing figures that meet given conditions and by identifying attributes of figures. Students collect, organize and represent data sets that have one or more variables and identify relationships among variables within a data set both manually and by using an electronic spreadsheet program. Students make decisions about how to approach problems. 1.1 analyze problems by identifying relationships, distinguishing relevant from irrelevant information, identifying missing information, sequencing and prioritizing information, and observing patterns 1.2 formulate and justify mathematical conjectures based upon a general description of the mathematical question or problem posed 1.3 determine when and how to break a problem into simpler parts 2.