Benchmarks 9A (The Mathematical World: Numbers)
Grades 9-12, page 214
Comparison of numbers of very different size can be made approximately
by expressing them as nearest powers of 10.
Benchmarks 9A (The Mathematical World: Numbers)
Grades 9-12, page 214
When calculations are made with measurements, a small error in the
measurements may lead to a large error in the results.
Benchmarks 9A (The Mathematical World: Numbers)
Grades 9-12, page 214
The effects of uncertainties in measurements on a computed result can
be estimated.
Benchmarks 12B (Habits of Mind: Computation and Estimation)
Grades 9-12, page 291
Express and compare very small and very large numbers using powers-of-ten
notation.
Benchmarks 12B (Habits of Mind: Computation and Estimation)
Grades 9-12, page 291
Trace the source of any large disparity between an estimate and the
calculated answer.
Benchmarks 12B (Habits of Mind: Computation and Estimation)
Grades 9-12, page 291
Recall immediately the relations among 10, 100, 1000, 1 million, and
1 billion (knowing, for example that 1 million is a thousand thousands).
Benchmarks 12B (Habits of Mind: Computation and Estimation)
Grades 9-12, page 291
Consider the possible effects of measurement errors on calculations.
Benchmarks 9B (The Mathematical World: Symbolic Relationships)
Grades 9-12, page 220
Symbolic statements can be manipulated by rules of mathematical logic
to produce other statements of the same relationship, which may show some
interesting aspect more clearly. Symbolic statements can be combined to
look for values of variables that will satisfy all of them at the same
time.
Benchmarks 9A (The Mathematical World: Numbers)
Grades 9-12, page 214
Numbers can be written with bases different from ten (which people
probably use because of their 10 fingers). The simplest base, 2, uses just
two symbols (1 and 0, or on and off)