Operations and Algebraic Thinking
First Trimester
Represent and solve problems involving addition and subtraction.
2.OA.1
*solve number stories to 20
Use addition and subtraction within
*solve addition/subtraction
100 to solve one- and two-step word
sentences to 15
problems involving situations of
*write at least one equivalent
adding to, taking from, putting
number model for a 1 digit
together, taking apart, and
number
comparing, with unknowns in all
*find missing addends to 20
positions, e.g., by using drawings and
*write fact family to 20
equations with a symbol for the
*given a target number, create an
unknown number to represent the
1
addition or subtraction number
problem.
sentence to equal that number
*represent easy facts with a
number story using words,
drawings or tallies
Second Trimester
*Solve a 2-digit number story
using number grid, number line,
drawing, or manipulatives
*Write a number model for a 2
digit number story
*Find the difference between 2
digit numbers and any higher
multiple of 10
*write the fact family for a
domino, up to 9+9
Third Trimester
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Identify when to use addition
and/or subtraction in a word
problem.
Represent addition and
subtraction word problems
using objects, drawings, and
equations with unknowns in
all positions.
Solve addition and
subtraction word problems
that involve two steps (doing
one computation, and using
that answer to perform a
second computation that
leads to the solution of the
problem).
Solve word problems with
unknown numbers in
different positions (e.g.,
5+_=13, _+8=13,5+8=13)
Resources:
Add and subtract within 20
2.OA.2
Fluently add and subtract within 20
using mental strategies.2 By end of
Grade 2, know from memory all sums
of two one-digit numbers.
*Know double facts up to 10
*Know addition facts 0-5
Proficiency with addition facts 0-9
and subtraction problems 0-5
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Use mental strategies (e.g.,
count on, make a ten) to add
or subtract numbers within 20
with ease.
Recall from memory all sums
of two one-digit numbers.
Work with equal groups of objects to gain foundations for multiplication.
2.OA.3
*identify one-digit odd and even
*Recognize odd and even
Determine whether a group of
numbers
numbers
objects (up to 20) has an odd or even
number of members, e.g., by pairing
objects or counting them by 2s; write
an equation to express an even
number as a sum of two equal
addends.
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Identify a group of objects as
being even or odd using
different strategies.
Write an equation to show an
even sum has the same
addends (e.g., 5+5=10,
6+6=12)
Resources:
2.OA.4
Use addition to find the total number
of objects arranged in rectangular
arrays with up to 5 rows and up to 5
columns; write an equation to
express the total as a sum of equal
addends
Resources:
*Create an array to match a
description
*Make an array and count the
total
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Use addition to find the total
number of objects in an array.
Write an addition equation
(e.g., 3+3+3=9) to express the
total as a sum of equal
addends.
Represent the total number
of objects arranged in a
rectangular array as an
expression with the repeated
addition of number of objects
in each row (or column). For
example if there are 3 rows
with 4 objects in each row, I
can write the expression
4+4+4.
Number and Operations in Base Ten
First Trimester
Second Trimester
*Use tally marks and numerical
expressions to find equivalent
names for numbers under 20
*write 2 and 3 digit numbers that
are given orally
*use base 10 blocks to represent
3 digit numbers
* identify the number in the
hundreds place
*make reasonable estimates of
two digit addition problems
*write whole numbers using base
10 notation
Third Trimester
Understand place value.
2.NBT.1
Understand that the three digits of a
three-digit number represent
amounts of hundreds, tens, and
ones; e.g., 706 equals 7 hundreds, 0
tens, and 6 ones. Understand the
following as special cases:
100 can be thought of as a bundle of
ten tens — called a “hundred.”
The numbers 100, 200, 300, 400, 500,
600, 700, 800, 900 refer to one, two,
three, four, five, six, seven, eight, or
nine hundreds (and 0 tens and 0
ones).
Resources:
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Represent a hundred as ten
groups of ten.
Represent each digit in three
digit numbers using hundreds,
tens, and ones.
Explain the value of each digit
in a three-digit number (place
value)
Explain the value of the zeros
in a given hundred as zero
tens and zero ones.
2.NBT.2
Count within 1000; skip-count by 5s,
10s, and 100s.
Read numbers to 1,000
*Count up by 2s, 5s, and 10s
beginning with numbers other
than zero to 50
*complete and describe a number
pattern, counting by 2s
*count back by 5s beginning with
numbers under 100
*complete number-grid problems
up to 100
*Extend a number pattern using
addition and subtraction
Count by 2s to 100
*count in the thousands
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Skip count to 1000 by 5s
Skip count to 1000 by 10s
Skip count to 1000 by 100s
Can read 2 digit and 3 digit
numbers
Can read and write 2 digit and 3
digit numbers
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Read and write numbers up
to 1000 using base-ten
numerals (e.g.,234)
Read and write numbers
using expanded form (e.g.,
200+30+4).
Read and write numbers up
to 1000 using number names
(e.g., two hundred thirtyfour).
Resources:
2.NBT.3
Read and write numbers to 1000
using base-ten numerals, number
names, and expanded form.
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Resources:
2NBT.4
Compare two three-digit numbers
based on meanings of the hundreds,
tens, and ones digits, using >, =, and <
symbols to record the results of
comparisons.
*Accurately read and write
symbols to show comparisons: <,
>, and =
*compare numbers in the tens
and hundreds
*write and order numbers to 100
Compare two two-digit numbers
using <,>, and = symbols
*order whole numbers in the
100s, and 1,000s
Resources:
Use place value understanding and properties of operations to add and subtract.
2.NBT.5
*Describe the Commutative
Make reasonable estimates of 2
Property of Addition and apply it
digit addition problems
Fluently add and subtract within 100
to mental arithmetic problems
using strategies based on place value, *Write number stories using facts
properties of operations, and/or the
under 10
relationship between addition and
*solve number stories to 50
subtraction.
*add and write turn around facts
*write fact families to 18
*count by ones on a number grid
to find the number of spaces
between two digit numbers
Resources:
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Explain a process for
determining whether a threedigit number is greater than,
less than, or equal to another
three-digit number
Determine when a three-digit
number is greater than, less
than, or equal to another
three-digit number, and
record the comparison using
the symbols >,< and =.
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Add and subtract numbers
within 100 with ease by
applying strategies e.g.,
decomposing numbers into
tens and ones, using
commutative and associative
properties, using mental
strategies) based on the
numbers being added or
subtracted.
2.NBT.6
Add up to four two-digit numbers
using strategies based on place value
and properties of operations.
*Solve number stories with
manipulatives
Use manipulatives to add multiple
addends
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Add up to four two-digit
numbers by applying
strategies (e.g., decomposing
numbers, rearranging the
order of the numbers, making
tens or multiples of tens)
based on the numbers being
added.
Number and Operations in Base Ten
First Trimester
2.NBT.7
Add and subtract within 1000, using
concrete models or drawings and
strategies based on place value,
properties of operations, and/or the
relationship between addition and
subtraction; relate the strategy to a
written method. Understand that in
adding or subtracting three-digit
numbers, one adds or subtracts
hundreds and hundreds, tens and
tens, ones and ones; and sometimes
it is necessary to compose or
decompose tens or hundreds.
Second Trimester
*Find the rule for functions
involving doubling,
*Use partial sums algorithm to
solve 2 digit addition problems
Third Trimester
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Use concrete models or
drawings to show how to add
within 1000 using a strategy
based on place value
(collecting the hundreds,
collecting the tens, and
collecting the ones, and when
necessary, composing ten
ones to make a ten or
composing ten tens to make a
hundred).
Use concrete models or
drawings to show how to
subtract within 1000 using a
strategy based on place value.
Use concrete models or
drawings to show other
strategies for adding and
subtracting within 1000.
Write down and explain the
steps that I followed as I used
the concrete models or
drawings to show how I
added or subtracted.
Resources:
2.NBT.8
Mentally add 10 or 100 to a given
number 100–900, and mentally
subtract 10 or 100 from a given
number 100–900.
Mentally add or subtract 10 to a
number under 100
*Write whole numbers using
base-ten notation
*fill in number grid problems
*mentally solve addition of multidigit multiples of 10
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Mentally add 10 to a given
number from 100-900.
Mentally subtract 10 from a
given number from 100-900.
Mentally add 100 to a given
number from 100-900.
Mentally subtract 100 from a
given number from 100-900.
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Resources:
2.NBT.9
Explain why addition and subtraction
strategies work, using place value
and the properties of operations.1
Resources:
*Find missing numbers in a
pattern using a rule
*use a rule to finish a pattern
(add 5)
*Create number patterns using
Frames and Arrows
Use a rule to follow a pattern
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Explain addition and
subtraction using place value.
Explain addition and
subtraction using the
properties of operations
(commutative, associative,
identity).
Measurement and Data
First Trimester
Measure and estimate lengths in standard units.
2.MD.1
Measure the length of an object by
selecting and using appropriate tools
such as rulers, yardsticks, meter
sticks, and measuring tapes.
Second Trimester
Read and write temperature and
solve temperature change
problems
Third Trimester
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Select an appropriate tool
(e.g., ruler, yardstick, meter
stick, measuring tape) to
measure an object.
Measure the length of an
object using a tool.
Resources:
2.MD.2
Measure the length of an object
twice, using length units of different
lengths for the two measurements;
describe how the two measurements
relate to the size of the unit chosen.
*measure to the nearest inch
*measure to the nearest cm
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Resources:
Select several appropriate
units of length (e.g., inches,
feet, centimeter, meter) to
measure an object.
Accurately measure an object
with two different unit
lengths.
Compare the measurement
using the shorter unit length
to the measurement using the
longer unit length, and
explain how the size of the
unit length affects the
measurement.
2.MD.3
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Estimate lengths using units of
inches, feet, centimeters, and
meters.
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Resources:
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2.MD.4
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Measure to determine how much
longer one object is than another,
expressing the length difference in
terms of a standard length unit.
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Resources:
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Estimate the length of a given
object in inches and feet.
Estimate the length of a given
object in centimeters and
meters.
Measure the length of any
object in a given unit.
Find the difference in length
between two objects using
standard units.
Measurement and Data
First Trimester
Relate addition and subtraction to length.
2.MD.5
Use addition and subtraction within
100 to solve word problems
involving lengths that are given in
the same units, e.g., by using
drawings (such as drawings of
rulers) and equations with a symbol
for the unknown number to
represent the problem.
Second Trimester
Third Trimester
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Add and subtract lengths of the
same unit within 100.
Represent addition and
subtraction word problems
involving lengths of the same
unit by using drawings and
equations with a symbol (e.g., a
blank or empty box) for the
unknown length.
Solve for the unknown number in
an equation from a word
problem.
Resources:
2.MD.6
Represent whole numbers as
lengths from 0 on a number line
diagram with equally spaced points
corresponding to the numbers 0, 1,
2, ..., and represent whole-number
sums and differences within 100 on
a number line diagram.
Resources:
*fill in missing numbers on a
number line
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Create a number line with whole
number intervals (equal spacing).
Represent whole numbers on a
number line.
Find sums and differences within
100 using a number line.
Work with time and money.
2.MD.7
Tell and write time from analog and
digital clocks to the nearest five
minutes, using a.m. and p.m.
Show and tell time on an analog
clock to the nearest half-hour;
write time in digital notation
*Show and tell time to the
quarter hour
*Match the time to hour and half
hour to its digital notation
*know minutes in a hour, hours
in a day, days in a week
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Resources:
Explain the difference between
a.m. (midnight to 11:59 a.m.)
and p.m. (noon to 11:59p.m.)
Look at the time on an analog
clock, say what time it is, and
write the time as it would appear
on a digital clock.
Look at the time on a digital
clock (when the minutes are
displayed as a multiple of 5), say
what time it is, and draw in the
hands on an analog clock.
Write the time and draw in the
hands on an analog clock when
someone tells the time to the
nearest 5 minutes.
Understand and use special
terms such as:
o Half past _,
o Quarter after/past _,
o Quarter to _,
o _minutes
after/past_,
o _minutes to _.
2.MD.8
Solve word problems involving
dollar bills, quarters, dimes, nickels,
and pennies, using $ and ¢ symbols
appropriately. Example: If you have
2 dimes and 3 pennies, how many
cents do you have?
*Show coins for amounts up to
50¢
*count coin combinations using
real coins (quarters, dimes,
nickels and pennies) to $1.00
*Count bill combinations using
$10 and $1 bills
Calculate coin combinations
*write equivalent names for
$1.00
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Identify and give the value of
dollar bills, quarters, dimes,
nickels, and pennies.
Use $ and ¢ symbol
appropriately.
Solve a word problem with dollar
bills, quarters, dimes, nickels,
and pennies.
Resources:
Measurement and Data
First Trimester
Second Trimester
Third Trimester
Represent and interpret data.
2.MD.9
Generate measurement data by
measuring lengths of several objects
to the nearest whole unit, or by
making repeated measurements of
the same object. Show the
measurements by making a line plot,
where the horizontal scale is marked
off in whole-number units.
Resources:
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Measure and record the
lengths of several objects to
the nearest whole-number.
Create a line plot with a
horizontal scale marked off in
whole-number units.
Record length measurements
on a line plot.
2.MD.10
Draw a picture graph and a bar graph
(with single-unit scale) to represent a
data set with up to four categories.
Solve simple put-together, takeapart, and compare problems1 using
information presented in a bar graph.
*Interpret bar graph to determine
the most and fewest
*Use data to make a bar graph
*Find the median in a set of data
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Make a picture or bar graph
with up to four categories to
represent data.
Compare data on a bar graph.
Solve addition and
subtraction problems using
data from a picture or bar
graph.
Resources:
Geometry
First Trimester
Reason with shapes and their attributes.
2.G.1
Recognize and draw shapes
having specified attributes, such
as a given number of angles or a
given number of equal faces.1
Identify triangles, quadrilaterals,
pentagons, hexagons, and cubes.
Resources:
Second Trimester
*identify 2 dimensional shapes
*Identify 2 dimensional
symmetric shapes
*Identify 3 dimensional shapes
* draw a line of symmetry
*draw a line segment
*use a straightedge to connect
the points to make line segments
and recognize they are parallel
Third Trimester
2.G.2
*Partition a rectangle into rows
and columns of same-size squares
(by folding a piece of paper) and
count to find the total number of
squares.
Partition a rectangle into rows
and columns of same-size
squares and count to find the
total number of them.
Resources:
2.G.3
Partition circles and rectangles
into two, three, or four equal
shares, describe the shares using
the words halves, thirds, half of, a
third of, etc., and describe the
whole as two halves, three thirds,
four fourths. Recognize that equal
shares of identical wholes need
not have the same shape.
Resources:
*Represent fractions as equal
parts of a region or collection/
Model fractions as equal parts of
a region
.