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Assessment_Guide_For_Educators_Math (Page 37)
37 Assessment Guide for Educators: Mathematical Reasoning Appendix A Mathematical Reasoning: Content Specifications 2002 Current Test Solve and estimate solutions to problems involving length, perimeter, area, surface area, volume, angle measurement, capacity, weight, and mass. Q.5.f Compute surface area and volume of composite 3-D geometric figures, given geometric formulas as needed. Use uniform rates (e.g., miles per hour, bushels per acre) in problem situations. Q.2.e Solve one-step or multi-step arithmetic, real world problems involving the four operations with rational numbers, including those involving scientific notation. Q.3.a Compute unit rates. Examples include but are not limited to: unit pricing, constant speed, persons per square mile, BTUs per cubic foot. Q.3.b Use scale factors to determine the magnitude of a size change. Convert between actual drawings and scale drawings. Q.3.c Solve multistep, arithmetic, real-world problems using ratios or proportions including those that require converting units of measure. Read and interpret scales, meters, and gauges [Not assessed on the current test] Predict the impact of changes in linear dimension on the perimeter, area, and volume of figures. [Not assessed on the current test] Construct, interpret, and draw inferences from tables, charts, and graphs. Make inferences and convincing arguments based on data analysis. Represent data graphically in ways that make sense and are appropriate to the context. Use an informal line of best fit to make predictions from data. Q.6.a Represent, display, and interpret categorical data in bar graphs or circle graphs. Q.6.b Represent, display, and interpret data involving one variable plots on the real number line including dot plots, histograms, and box plots. Q.6.c Represent, display, and interpret data involving two variables in tables and the coordinate plane including scatter plots and graphs. Evaluate arguments based on data analysis, including distinguishing between correlation and causation. [Not assessed on the current test] Apply measures of central tendency (mean, median, mode) and analyze the effect of changes in data on these measures. Q.7 .a Calculate the mean, median, mode and range. Calculate a missing data value, given the average and all the missing data values but one, as well as calculating the average, given the frequency counts of all the data values, and calculating a weighted average. Apply and recognize sampling and bias in statistical claims. [Not assessed on the current test] Make predictions based on experimental or theoretical probabilities, including listing possible outcomes. Q.8.a Use counting techniques to solve problems and determine combinations and permutations. Q.8.b Determine the probability of simple and compound events. Compare and contrast different sets of data on the basis of measures of central tendency and dispersion (range, standard deviation). [Not assessed on the current test]