Understand negative whole number exponents. Represent quantitative relationships graphically and interpret the meaning of a specific part of a graph in terms of the situation represented by the graph Students interpret and evaluate expressions involving integer powers and simple roots. 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. 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.
Compute the length of the perimeter, the surface area of the faces, and the volume of a 3-D object built from rectangular solids. 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. Analyze problems by identifying relationships, discriminating relevant from irrelevant information, identifying missing information, sequencing and prioritizing information, and observing patterns Formulate and justify mathematical conjectures based upon a general description of the mathematical question or problem posed Determine when and how to break a problem into simpler parts Students use strategies, skills and concepts in finding solutions. Indicate the relative advantages of exact and approximate solutions to problems and give answers to a specified degree of accuracy Make precise calculations and check the validity of the results from the context of the problem Students determine a solution is complete and move beyond a particular problem by generalizing to other situations.