**Benchmark
12B: Habits of Mind - Computation and Estimation**
**(grades 9-12, page 291)**
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