Grade 3 Expectations
Numbers and Operations
1.0 Recognizes the relationship
between numbers, the quantities that they represent and the positional values
of the digits of cardinal numbers up to at least 10,000.
N.SN.3.1.1 Represents, counts,
reads and writes cardinal numbers up to at least 10,000.
N.SN.3.1.2 Counts and writes
cardinal numbers by hundreds and by thousands, starting from a given number (in
ascending and descending order).
N.SN.3.1.3 Determines and
estimates the cardinality of a given set up to ten-thousand.
N.SN.3.1.4 Identifies, writes
and represents cardinal numbers through models such as: number line, concrete
and semi-concrete models with a base of 10, and determines the number starting
from the quantity of thousands, hundreds, tens and units given.
N.SN.3.1.5 Determines the
larger or smaller number, the number that comes immediately after, before and
in between a succession of numbers with up to five digits.
N.SN.3.1.6 Puts numbers larger
than 1,000 and up to at least 10,000 in ascending and descending order.
N.SN.3.1.7 Represents and
expresses the positional order of an object up to at least the twentieth.
N.SN.3.1.8 Composes and
decomposes cardinal numbers of up to five digits in combinations up to ten
thousand.
N.SN.3.1.9 Rounds cardinal
numbers up to at least 10,000, to the closest tens, hundreds or thousands.
N.SN.3.1.10 Recognizes and uses
the positional value of digits in numbers of up to at least 10,000.
N.SN.3.1.11 Identifies the
positional value of a digit in cardinal numbers of up to at least 10,000. Uses
expanded notation to represent numbers up to at least 10,000.
2.0 Interprets and represents
fractions.
N.SN.3.2.1 Recognizes that the
denominator of a fraction represents equal parts that are divided into the whole
and that the numerator represents the parts to be taken or used.
N.SN.3.2.2 Recognizes and uses
different interpretations for fractions.
N.SN.3.2.3 Recognizes that a
typical fraction n/d is made up of n unitary parts of the form 1/d.
N.SN.3.2.4 Locates fractions in
a number line (with denominators of 2, 4, 8 and 10).
N.SO.3.2.5 Recognizes fractions
as numbers that solve division problems.
N.SN.3.2.6 Identifies, names
and represents fractions and equivalent fractions as shaded parts of a whole or
as a subgroup of objects that make up a whole, with denominators up to 10,
using concrete and semi-concrete models.
N.SN.3.2.7 Compares fractions
represented in concrete and semi-concrete models.
3.0 Estimates and solves
problems involving addition and subtraction.
N.OE.3.3.1 Calculates addition
or subtraction of cardinal numbers between 0 and 10,000.
N.OE.3.3.2 Estimates and solves
addition and subtraction problems with and without regrouping.
N.OE.3.3.3 Adds and subtracts
fractions with same denominators
N.OE.3.3.4 Solves problems that
involve addition and subtraction of monetary quantities with decimal notation.
4.0 Estimates and solves
problems that involve multiplication and division.
N.OE.3.4.1 Memorizes and
develops fluidity in the basic combinations of multiplication and division
between 1 and 10.
N.SO.3.4.2
Uses the inverse relation between multiplication and division to complete
calculations and test results.
N.SO.3.4.3 Describes the basic
combinations of division starting from multiplication.
N.OE.3.4.4 Uses multiplication
to solve problems that involve multiplication of cardinal numbers of various
digits by numbers of one digit.
N.OE.3.4.5 Determines products
with multiples of up to two digits and with multipliers of one digit, with
digits no larger than five.
N.OE.3.4.6 Solves division
problems with one digit divisors and dividends of no more than 3 digits.
N.OE.3.4.7 Creates, analyzes
and solves multiplication or division problems that involve groups or
arrangements [of numbers].
5.0 Solves problems involving
contextual application and real life situations which require multiple steps
and more than one operation.
N.OE.3.5.1 Represents
mathematical problems through diagrams, numbers and symbolic expressions.
N.OE.3.5.2 Clearly expresses
the result, verbally, numerically or graphically, using appropriate measures.
N.OE.3.5.3 Uses appropriate
computational strategies to judge the reasonability of an answer.
6.0 Uses the strategy of mental
computation and estimation to determine totals and differences.
N.OE.3.6.1 Uses the strategy of
mental computation and estimation to determine sums and differences.
N.OE.3.6.2
Judges the reasonability of results in a calculation.
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