Benchmark 12B: Habits of Mind - Computation and Estimation

• Use ratios and proportions, including constant rates, in appropriate problems. (1 of 9)
• Standard 7-1, page 94, Grades 5-8
Compute with whole numbers, fractions, decimals, integers, and rational numbers

Standard 5-2 page 150, Grades 9-12
Use tables and graphs as tools to interpret expressions, equations, and inequalities

• Find answers to problems by substituting numerical values in simple algebraic formulas and judge whether the answer is reasonable by reviewing the process and checking against typical values. (2 of 9)
• Standard 5-3 page 150, Grades 9-12
Operate on expressions and matrices, and solve equations and inequalities
• Make up and write out simple algorithms for solving problems that take several steps. (3 of 9)
• Standard 12-3 page 176, Grades 9-12
Develop and analyze algorithms
• Use computer spreadsheets, graphing, and database programs to assist in quantitative analysis. (4 of 9)
• Standard 10-2 page 167, Grades 9-12
Use curve fitting to predict from data
• Compare data for two groups by representing their averages and spreads graphically. (5 of 9)
• Standard 10-1 page 167, Grades 9-12
Construct and draw inferences from charts, tables, and graphs that summarize data from real-world situations
• Express and compare very small and very large numbers using powers-of-ten notation. (6 of 9)
• Standard 14-1 page 184, Grades 9-12
Compare and contrast the real number system and its various subsystems with regard to their structural characteristics
• Trace the source of any large disparity between an estimate and the calculated answer. (7 of 9)
• Standard 14-1 page 184, Grades 9-12
Compare and contrast the real number system and its various subsystems with regard to their structural characteristics
• Recall immediately the relations among 10, 100, 1000, 1 million, and 1 billion (knowing, for example that 1 million is a thousand thousands). (8 of 9)
• Standard 14-1 page 184, Grades 9-12
Compare and contrast the real number system and its various subsystems with regard to their structural characteristics
• Consider the possible effects of measurement errors on calculations. (9 of 9)
• Standard 14-1 page 184, Grades 9-12
Compare and contrast the real number system and its various subsystems with regard to their structural characteristics