Building
upon knowledge and skills gained in preceding
grades,
by the end of Grade 6, students will:
Standard 4.1
(Number
and Numerical Operations) All students will
develop number sense and will perform standard
numerical operations and estimations on all
types of numbers in a variety of ways.
Standard 4.1.6.A
Number
Sense
Standard 4.1.6.A.1
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
Standard 4.1.6.A.2
Recognize
the decimal nature of United States currency and
compute with money.
Standard 4.1.6.A.3
Demonstrate
a sense of the relative magnitudes of numbers.
Standard 4.1.6.A.4
Explore
the use of ratios and proportions in a variety of
situations.
Standard 4.1.6.A.5
Understand
and use whole-number percents between 1 and 100
in a variety of situations.
Standard 4.1.6.A.6
Use
whole numbers, fractions, and decimals to represent
equivalent forms of the same number.
Standard 4.1.6.A.7
Develop
and apply number theory concepts in problem solving
situations.
· Primes, factors, multiples
· Common multiples, common factors
Standard 4.1.6.A.8
Compare
and order numbers.
Standard 4.1.6.B
Numerical
Operations
Standard 4.1.6.B.1
Recognize
the appropriate use of each arithmetic operation
in problem situations.
Standard 4.1.6.B.2
Construct,
use, and explain procedures for performing calculations
with fractions and decimals with:
· Pencil-and-paper
· Mental math
· Calculator
Standard 4.1.6.B.3
Use
an efficient and accurate pencil-and-paper procedure
for division of a 3-digit number by a 2-digit number.
Standard 4.1.6.B.4
Select
pencil-and-paper, mental math, or a calculator
as
the appropriate computational method in a given
situation depending on the context and numbers.
Standard 4.1.6.B.5
Find
squares and cubes of whole numbers.
Standard 4.1.6.B.6
Check
the reasonableness of results of computations.
Standard 4.1.6.B.7
Understand
and use the various relationships among operations
and properties of operations.
Standard 4.1.6.B.8
Understand
and apply the standard algebraic order of operations
for the four basic operations, including appropriate
use of parentheses.
Standard 4.1.6.C
Estimation
Standard 4.1.6.C.1
Use
a variety of strategies for estimating both quantities
and the results of computations.
Standard 4.1.6.C.2
Recognize
when an estimate is appropriate, and understand
the usefulness of an estimate as distinct from an
exact answer.
Standard 4.1.6.C.3
Determine
the reasonableness of an answer by estimating the
result of operations.
Standard 4.1.6.C.4
Determine
whether a given estimate is an overestimate or an
underestimate.
