Benchmark
12B: Habits of Mind - Computation and Estimation
(grades 6-8, page 291)
Find the mean and median of a set of data. (4 of 10)
Standard 10-1, page 105, Grades 5-8
Systematically collect, organize, and describe data
Estimate distances and travel times from maps and the actual size of objects
from scale drawings. (5 of 10)
Standard 7-6, page 94, Grades 5-8
Use computation, estimation, and proportions to solve problems
Insert instructions into computer spreadsheet cells to program arithmetic
calculations. (6 of 10)
Standard 7-4, page 94, Grades 5-8
Select and use an appropriate method for computing from among mental
arithmetic, paper-and-pencil, calculator, and computer methods
Standard 12-3 page 176, Grades 9-12
Develop and analyze algorithms
Determine what unit (such as seconds, square inches, or dollars per tankful)
an answer should be expressed in from the units of the inputs to the calculations,
and be able to convert compound units (e.g., yen per dollar into dollar
per yen, or miles/hour into feet/sec. (7 of 10)
Standard 7-3, page 94, Grades 5-8
Develop, analyze, and explain methods for solving proportions
Standard 13-6, page 116, Grades 5-8
Develop the concepts of rates and other derived and indirect measurements
Standard 13-7, page 116, Grades 5-8
Develop formulas and procedures for determining measures to solve problems
Decide what degree of precision is adequate and round off the result of
calculator operations to enough significant figures to reasonably reflect
those of the inputs. (8 of 10)
Standard 12-1 page 57, Grades K-4
Develop concepts of fractions, mixed numbers, and decimals
Standard 12-2 page 57, Grades K-4
Develop number sense for fractions and decimals
Standard 7-4, page 94, Grades 5-8
Select and use an appropriate method for computing from among mental
arithmetic, paper-and-pencil, calculator, and computer methods
Estimate probabilities of outcomes in familiar situations, on the basis
of history or the number of possible outcomes (10 of 10)
Standard 11-4, page 109, Grades 5-8
Make predictions that are based on experimental or theoretical probabilities
Standard 11-5, page 109, Grades 5-8
Develop an appreciation for the pervasive use of probability in the
real world
Standard 11-1 page 171, Grades 9-12
Use experimental or theoretical probability, as appropriate, to represent
and solve problems involving uncertainty
Standard 12-4 page 176, Grades 9-12
Solve enumeration and finite probability problems
Standard 11-4 page 171, Grades 9-12
Create and interpret discrete probability distributions