Grade 2 Mathematics Content
Vocabulary
Use and reinforce the proper terms in all
units throughout the year
Whole Numbers
Introduction to numbers to 99
Place value to 100
Read and write numbers to 100
Ordinal numbers
Identify numbers before, after or
between, given two digit numbers
Even and odd numbers
Skip-count by 2s, 3s, 4s, 5s, 10s
Using a number line
Take apart and put together 2-digit
numbers
Count back from 100 by 1s, 5s, 10s
Recognize the meaning of zero in a
number
Compare and order numbers to 100
Use concrete materials to justify a
number as odd or even
Estimate number of objects in a
collection to 100
Compare two digit numbers using <, >,
or = (with and without a number line)
Whole Number Operations
Understand and use the commutative
property of addition
Use zero as the identity element for
addition
Count on...1, 2, & 3 to find sums.
Add three numbers.
Subtract all or zero from a group.
Count back by 1, 2, or 3 to find
differences.
Basic facts to 18 for addition and
subtraction.
Adding two digit numbers with and
without regrouping.
Adding one digit to two digit numbers.
Rewriting two digit addition and
subtraction problems from horizontal to
vertical format.
Mental math for addition and
subtraction.
Subtracting two digit numbers with and
without regrouping.
Using addition to check subtraction
problems.
Describe and extend increasing or
decreasing number sequences or
patterns (up to 100 objects)
Data and Graphing
Create problems about themselves and
their surroundings
Collect and record data, using tallies,
related to a question
Display data in pictographs and bar
graphs
Compare and interpret data
Discuss conclusions and make
predictions from graphs
Geometry
Identify 2-dimensional shapes (circles,
squares, triangles, and rectangles).
Identify sides and corners of plane
shapes.
Line of symmetry to divide plane shapes
into two congruent parts.
Turning, flipping, and sliding of shapes.
Take apart and put together twodimensional shapes
Group objects by like properties
Measurement
Measure length using non-standard and
standard units.
Measure to the nearest inch and nearest
foot.
Select and use standard and nonstandard units to estimate
measurements
Compare and order objects according to
the attribute of length
Recognize meaning of mass—
heavier/lighter?
Compare and order objects using terms
heavier than and lighter than
Money
Recognize quarters, dimes, nickels,
pennies, $1, $5, $10, $20
Recognize the whole dollar notation as
$1 etc.
Use coins to show the value of a dollar.
Model the same amount using different
combinations of coins.
Time
Tell time to half hour and five minutes,
using an analog and digital clock.
Tell time before and after the hour.
Problem Solving (Strategies
apply to all units)
Solve problems by drawing a picture.
Use logical reasoning.
Write a number sentence.
Reasonable estimates.
Finding a pattern.
Using graphs.
Making a list.
Using a model.
Choosing a method.
Choosing the operation.
Using a table.
Too much information.
Multiple step problems.
New York State Education Department Learning Standard for Mathematics
Students will understand the concepts of and become proficient with the skills of mathematics; communicate and reason
mathematically; become problem solvers by using appropriate tools and strategies through the integrated study of number sense and
operations, algebra, geometry, measurement, and statistics and probability.
Content Strands
Strand 1:
Number Sense
and Operations
Definition
Example
Students will understand numbers, multiple ways of representing numbers, 1. Verbally count by 1’s to 20.
relationships among numbers, and number systems; understand meanings 2. Solve proportions using equivalent fractions.
of operations and procedures, and how they relate to one another; compute
accurately and make reasonable estimates.
Strand 2:
Algebra
Students will represent and analyze algebraically a wide variety of
problem solving situations; perform algebraic procedures accurately;
recognize, use, and represent patterns, relations, and functions
algebraically.
1. Use a variety of manipulative materials to
create patterns using attributes of color, size,
or shape.
2. Solve simple one-step equations using basic
whole number facts.
Strand 3:
Geometry
Students will use visualization and spatial reasoning to analyze
characteristics and properties of geometric shapes; identify and justify
geometric relationships, formally and informally; apply transformations
and symmetry to analyze problem solving situations; apply coordinate
geometry to analyze problem solving situations.
1. Identify and appropriately name twodimensional shapes: circle, square,
rectangle, and triangle (both regular and
irregular).
2. Classify angles as acute, obtuse, right and
straight.
Strand 4:
Measurement
Students will determine what can be measured and how, using appropriate
methods and formulas; use units to give meaning to measurements;
understand that all measurement contains error and be able to determine
its significance; develop strategies for estimating measurements.
1. Compare the length of two objects by
representing each length with string or a
paper strip.
2. Identify radius, diameter, chords, and central
angles of a circle.
Strand 5:
Statistics and
Probability
Students will collect, organize, display, and analyze data; make
predictions that are based upon data analysis; understand and apply
concepts of probability.
1. Display data in bar graphs using concrete
objects with intervals of one.
2. Calculate the mean for a given set of data
and use it to describe a set of data.
S:\Ci\MS Word\Math\New Parent Handouts 2005\Gd.2. Parent Handout.doc
1. Example for Primary Instruction.
2. Example for Intermediate Instruction.