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Assessment_Guide_For_Educators_Math (Page 36)
36 Assessment Guide for Educators: Mathematical Reasoning Appendix A Mathematical Reasoning: Content Specifications 2002 Current Test Find, use, and interpret the slope of a line, the y-intercept of a line, and the intersection of two lines. A.5.b Determine the slope of a line from a graph, equation, or table. A.5.c Interpret unit rate as the slope in a proportional relationship. A.5.d Graph two-variable linear equations. A.5.e For a function that models a linear or nonlinear relationship between two quantities, interpret key features of graphs and tables in terms of quantities, and sketch graphs showing key features of graphs and tables in terms of quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior, and periodicity. Find, use, and interpret the slope of a line, the y-intercept of a line, and the intersection of two lines (continued from previous page). A.6.a Write the equation of a line with a given slope through a given point. A.6.c Use slope to identify parallel and perpendicular lines and to solve geometric problems. Use coordinates to design and describe geometric figures. A.5.a Locate points in the coordinate plane. Identify and select appropriate units of metric and customary measures. [Not assessed on the current test] Convert and estimate units of metric and customary measure (all conversions within systems). Q.3.c Solve multistep, arithmetic, real-world problems using ratios or proportions including those that require converting units of measure. Q.4.a Compute the area and perimeter of triangles and rectangles. Determine side lengths of triangles and rectangles when given area or perimeter. Q.4.b Compute the area and circumference of circles. Determine the radius or diameter when given area or circumference. Q.4.c Compute the perimeter of a polygon. Given a geometric formula, compute the area of a polygon. Determine side lengths of the figure when given the perimeter or area. Q.4.d Compute perimeter and area of 2-D composite geometric figures, which could include circles, given geometric formulas as needed. Q.5.a When given geometric formulas, compute volume and surface area of rectangular prisms. Solve for side lengths or height, when given volume or surface area. Q.5.b When given geometric formulas, compute volume and surface area of cylinders. Solve for height, radius, or diameter when given volume or surface area. Q.5.c When given geometric formulas, compute volume and surface area of right prisms. Solve for side lengths or height, when given volume or surface area. Q.5.d When given geometric formulas, compute volume and surface area of right pyramids and cones. Solve for side lengths, height, radius, or diameter when given volume or surface area. Q.5.e When given geometric formulas, compute volume and surface area of spheres. Solve for radius or diameter when given the surface area.