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A. Number Sense
- Use real-life experiences, physical materials, and technology
to construct meanings for numbers (unless otherwise noted,
all indicators for grade 6 pertain to these sets of numbers
as well).
- All integers
- All fractions as part of a whole, as subset of a set,
as a location on a number line, and as divisions of whole
numbers
- All decimals
- Recognize the decimal nature of United States currency and
compute with money.
- Demonstrate a sense of the relative magnitudes of numbers.
- Explore the use of ratios and proportions in a variety of
situations.
- Understand and use whole-number percents between 1 and 100
in a variety of situations.
- Use whole numbers, fractions, and decimals to represent equivalent
forms of the same number.
- Develop and apply number theory concepts in problem solving
situations.
- Primes, factors, multiples
- Common multiples, common factors
- Compare and order numbers.
B. Numerical Operations
- Recognize the appropriate use of each arithmetic operation
in problem situations.
- Construct, use, and explain procedures for performing calculations
with fractions and decimals with:
- Pencil-and-paper
- Mental math
- Calculator
- Use an efficient and accurate pencil-and-paper procedure for
division of a 3-digit number by a 2-digit number.
- Select pencil-and-paper, mental math, or a calculator as the
appropriate computational method in a given situation depending
on the context and numbers.
- Find squares and cubes of whole numbers.
- Check the reasonableness of results of computations.
- Understand and use the various relationships among operations
and properties of operations.
- Understand and apply the standard algebraic order of operations
for the four basic operations, including appropriate use of
parentheses.
C. Estimation
- Use a variety of strategies for estimating both quantities
and the results of computations.
- Recognize when an estimate is appropriate, and understand
the usefulness of an estimate as distinct from an exact answer.
- Determine the reasonableness of an answer by estimating the
result of operations.
- Determine whether a given estimate is an overestimate or an
underestimate.
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