Mathematics-Grade 2
SAS - Curriculum Framework (Mathematics / 2nd Grade)
PART I Standards/Desired Results (Big Ideas, Essential Questions, Concepts, and Competencies)
Big Idea
Essential
Questions
Concepts
Competencies
Base Ten System:
Hundreds, Tens,
Ones
Represent, compare, and
order whole numbers up to
1000, and their equivalents
(e.g. 35 is 3 tens and 5 ones
or two tens and 15 ones),
including using the number
line and expanded
notation, while grouping in
hundreds, tens and ones.
Equivalence:
Whole Numbers
to 1000
Represent, compare, and
order whole numbers up to
1000, and their equivalents
(e.g. 35 is 3 tens and 5 ones
or two tens and 15 ones),
including using the number
line and expanded
notation, while grouping in
hundreds, tens and ones.
Operations:
Additions and
Subtraction of
multi-digit
Numbers
Use number patterns to
extend knowledge of
properties of numbers and
operations (skip counting
as a foundation for
understanding multiples)
Properties:
Commutative,
Associative,
Use number patterns to
extend knowledge of
properties of numbers and
22875
The base-ten
number system
is a way to
organize,
represent and
compare
numbers using
groups of ten
and place
value.
How can we
represent and
compare
numbers?
How can using
number patterns
help us to add or
subtract?
22876
Numbers,
measures,
expressions,
equations, and
inequalities can
represent
mathematical
situations and
structures in
many
equivalent
forms.
22877
The same
number
sentence (e.g.,
12 - 4 = 8) can
be associated
with different
concrete or real
Standards /
Eligible
Content
world
situations, AND
different
number
sentences can
be associated
with the same
concrete or real
world situation.
22878
Numerical
quantities and
calculations can
be estimated by
using numbers
that are close
to the actual
values, but
easier to
compute with.
22879
Some attributes
of objects are
measureable,
e.g., length,
mass, capacity,
and can be
quantified.
22880
Measures can
be estimated by
using known
referents.
22881
Patterns exhibit
relationships
that can be
extended,
Identity related
to Mutli-digit
numbers
operations (skip counting
as a foundation for
understanding multiples)
Patterns: apply to
extend properties
of numbers and
operations
Use number patterns to
extend knowledge of
properties of numbers and
operations (skip counting
as a foundation for
understanding multiples)
described, and
generalized.
22882
Two- and threedimensional
objects can be
described,
classified, and
analyzed by
their attributes,
and their
location can be
described
quantitatively.
22883
Some questions
can be
answered by
collecting,
representing,
and analyzing
data, and the
question to be
answered
determines the
data to be
collected, how
best to collect
it, and how best
to represent it.
SAS - Curriculum Framework (Mathematics / 2nd Grade)
Big Idea
22875
Essential Questions
How can we
Concepts
Competencies
Standards /
Eligible
The base-ten
number system
is a way to
organize,
represent and
compare
numbers using
groups of ten
and place
value.
represent and
compare numbers?
What strategies
and models can we
use to understand
how to solve an
addition or
subtraction
problem?
How do we know
when it is
Numbers,
appropriate to
measures,
estimate or when it
expressions,
is appropriate to
equations, and
use mental math
inequalities can
for an exact
represent
answer?
mathematical
situations and How do we
structures in
measure length?
many
How can using
equivalent
number patterns
forms.
help us to add or
22877
subtract?
The same
number
sentence (e.g.,
12 - 4 = 8) can
be associated
with different
concrete or real
world
situations, AND
different
number
sentences can
be associated
with the same
concrete or real
Content
Base Ten
System:
Hundreds, Tens,
Ones
Represent, compare, and
order whole numbers up to
1000, and their equivalents
(e.g. 35 is 3 tens and 5 ones
or two tens and 15 ones),
including using the number
line and expanded
notation, while grouping in
hundreds, tens and ones.
Equivalence:
Whole Numbers
to 1000
Represent, compare, and
order whole numbers up to
1000, and their equivalents
(e.g. 35 is 3 tens and 5 ones
or two tens and 15 ones),
including using the number
line and expanded
notation, while grouping in
hundreds, tens and ones.
Base Ten
System:
Hundreds, Tens,
Ones
Develop extended
understanding of multiple
models, and properties of
addition and subtraction,
leading to fluency with
efficient, accurate and
generalizable methods to
add and subtract multi-digit
whole numbers and
develop quick recall of
addition and related
subtraction facts. Select
and apply appropriate
methods to estimate sums
and differences or to
calculate them mentally.
Operations:
Develop extended
22876
world situation.
22878
Numerical
quantities and
calculations can
be estimated by
using numbers
that are close
to the actual
values, but
easier to
compute with.
Additions and
Subtraction of
multi-digit
Numbers
understanding of multiple
models, and properties of
addition and subtraction,
leading to fluency with
efficient, accurate and
generalizable methods to
add and subtract multi-digit
whole numbers and
develop quick recall of
addition and related
subtraction facts. Select
and apply appropriate
methods to estimate sums
and differences or to
calculate them mentally.
Properties:
Commutative,
Associative,
Identity related
to Mutli-digit
numbers
Develop extended
understanding of multiple
models, and properties of
addition and subtraction,
leading to fluency with
efficient, accurate and
generalizable methods to
add and subtract multi-digit
whole numbers and
develop quick recall of
addition and related
subtraction facts. Select
and apply appropriate
methods to estimate sums
and differences or to
calculate them mentally.
Estimation:
Multi-digit
addition,
subtraction and
length.
Develop extended
understanding of multiple
models, and properties of
addition and subtraction,
leading to fluency with
efficient, accurate and
generalizable methods to
22879
Some attributes
of objects are
measureable,
e.g., length,
mass, capacity,
and can be
quantified.
22880
Measures can
be estimated by
using known
referents.
22881
Patterns exhibit
relationships
that can be
extended,
described, and
generalized.
22882
Two- and threedimensional
objects can be
described,
classified, and
analyzed by
their attributes,
and their
location can be
described
quantitatively.
add and subtract multi-digit
whole numbers and
develop quick recall of
addition and related
subtraction facts. Select
and apply appropriate
methods to estimate sums
and differences or to
calculate them mentally.
22883
Some questions
can be
answered by
collecting,
representing,
and analyzing
data, and the
question to be
answered
determines the
data to be
collected, how
best to collect
it, and how best
to represent it.
Patterns: apply
to extend
properties of
numbers and
operations
Identify a measurable
attribute (length, weight or
time) and select
appropriate units,
strategies (e.g.,
decomposing) and tools to
solve problems or make
estimations.
Estimation:
Multi-digit
addition,
subtraction and
length.
Identify a measurable
attribute (length, weight or
time) and select
appropriate units,
strategies (e.g.,
decomposing) and tools to
solve problems or make
estimations.
Operations:
Additions and
Subtraction of
multi-digit
Numbers
Use processes (e.g.
partitioning, transitivity,
inverse relationships) to
estimate, measure, and
compute lengths to solve
problems involving data,
space and movement,
including standard
measures such as
centimeter and inch.
Estimation:
Multi-digit
addition,
subtraction and
length.
Use processes (e.g.
partitioning, transitivity,
inverse relationships) to
estimate, measure, and
compute lengths to solve
problems involving data,
space and movement,
including standard
measures such as
centimeter and inch.
Measurement:
Processes of
partitioning,
transitivity and
inverse
relationships
Use processes (e.g.
partitioning, transitivity,
inverse relationships) to
estimate, measure, and
compute lengths to solve
problems involving data,
space and movement,
including standard
measures such as
centimeter and inch.
Operations:
Additions and
Subtraction of
multi-digit
Numbers
Use number patterns to
extend knowledge of
properties of numbers and
operations (skip counting
as a foundation for
understanding multiples)
Properties:
Commutative,
Associative,
Identity related
to Mutli-digit
numbers
Use number patterns to
extend knowledge of
properties of numbers and
operations (skip counting
as a foundation for
understanding multiples)
Patterns: apply
to extend
properties of
Use number patterns to
extend knowledge of
properties of numbers and
numbers and
operations
operations (skip counting
as a foundation for
understanding multiples)