
Second Grade Math
Number and Numeration
Program Goal

Content Thread

GradeLevel Goal

Understand the Meanings, Uses, and Representations of
Numbers

Place value and notation

Read and write whole numbers up to 1,000,000; read,
write, and model with manipulatives decimals through
hundredths; identify places in such numbers and the
values of the digits in those places; translate between
whole numbers and decimals represented in words, in
base10 notation, and with manipulatives.

Meanings and uses of fractions

Read, write, and model fractions; solve problems
involving fractional parts of a region or a collection;
describe strategies used.

Number theory

Find multiples of 2, 5, and 10.

Understand Equivalent Names for Numbers

Equivalent names for whole numbers

Use numerical expressions involving one or more of the
basic four arithmetic operations to give equivalent
names for whole numbers.

Equivalent names for fractions, decimals, and percents

Use manipulatives and drawings to find and represent
equivalent names for fractions; use manipulatives to
generate equivalent fractions.

Understand Common Numerical Relations

Comparing and ordering numbers

Compare and order whole numbers up to 1,000,000; use
manipulatives to order decimals through hundredths; use
area models and benchmark fractions to compare and order
fractions.

Operations and Computation
Program Goal

Content Thread

GradeLevel Goal

Compute Accurately

Addition and subtraction facts

Demonstrate automaticity with all addition and
subtraction facts through 10+10; use basic facts to
compute fact extensions such as 80+70.

Addition and subtraction procedures

Use manipulatives, mental arithmetic, paperandpencil
algorithms and models, and calculators to solve problems
involving the addition and subtraction of whole numbers
and decimals in a money context; describe the strategies
used and explain how they work.

Multiplication and division facts

Demonstrate automaticity with multiplication facts
through 10 x 10.

Multiplication and division procedures

Use arrays, mental arithmetic, paperandpencil
algorithms and models, and calculators to solve problems
involving the multiplication of 2 and 3digit whole
numbers by 1digit whole numbers; describe the
strategies used.

Make Reasonable Estimates

Computational estimation

Make reasonable estimates for whole number addition,
subtraction, multiplication, and division problems;
explain how the estimates were obtained.

Understand Meanings of Operations

Models for the operations

Recognize and describe change, comparison, and
partsandtotal situations; use repeated addition,
arrays, and skip counting to model multiplication; use
equal sharing and equal grouping to model division.

Data and Chance
Program Goal

Content Thread

GradeLevel Goal

Select and Create Appropriate Graphical Representations
of Collected or Given Data

Data collection and representation

Collect and organize data or use given data to create
charts, tables, graphs, and line plots.

Analyze and Interpret Data

Data analysis

Use graphs to ask and answer simple questions and draw
conclusions; find the maximum, minimum, range, mode, and
median of a data set.

Understand and Apply Basic Concepts of Probability

Qualitative probability

Describe events using certain, very likely, likely,
unlikely, very unlikely, impossible and other basic
probability terms; explain the choice of language.

Quantitative probability

Predict the outcomes of simple experiments and test the
predictions using manipulatives; express the probability
of an event by using "_out of _" language.

Measurement and Reference Frames
Program Goal

Content Thread

GradeLevel Goal

Understand the Systems and Processes of Measurement; Use
Appropriate Techniques, Tools, Units, and Formulas in
Making Measurements

Length, weight, and angles

Estimate length with and without tools; measure length
to the nearest 1/2 inch and 1/2 centimeter; draw and
describe angles as records of rotations.

Area, perimeter, volume, and capacity

Describe and use strategies to measure the perimeter of
polygons; find the areas of rectangles.

Units and systems of measurement

Describe relationships among inches, feet, and yards;
describe relationships between minutes in an hour, hours
in a day, days in a week.

Use and Understand Reference Frames

Time

Tell and show time to the nearest minute on an analog
clock; tell and write time in digital notation.

Geometry
Program Goal

Content Thread

GradeLevel Goal

Investigate Characteristics and Properties of Two and
ThreeDimensional Geometric Shapes

Lines and angles

Identify and draw points, intersecting and parallel line
segments and lines, rays, and right angles.

Plane and solid figures

Identify, describe, model, and compare plane and solid
figures including circles, polygons, spheres, cylinders,
rectangular prisms, pyramids, cones, and cubes using
appropriate geometric terms including the terms face,
edge, vertex, and base.

Apply Transformations and Symmetry in Geometric
Situations

Transformations and symmetry

Create and complete twodimensional symmetric shapes or
designs; locate multiple lines of symmetry in a
twodimensional shape.

Patterns, Functions, and Algebra
Program Goal

Content Thread

GradeLevel Goal

Understand Patterns and Functions

Patterns and functions

Extend, describe, and create numeric patterns; describe
rules for patterns and use them to solve problems; use
words and symbols to describe and write rules for
functions involving addition, subtraction, and
multiplication and use those rules to solve problems.

Use Algebraic Notation to Represent and Analyze
Situations and Structures

Algebraic notation and solving number sentences

Read, write, and explain number sentences using the
symbols +,,x, Ë†, =, >, and <; solve number sentences;
write expressions and number sentences to model number
stories.

Order of operations

Recognize that numeric expressions can have different
values depending on the order in which operations are
carried out; understand that grouping symbols can be
used to affect the order in which operations are carried
out.

Properties of the arithmetic operations

Describe and apply the Commutative and Associative
Properties of Addition and Multiplication and the
Multiplicative Identity; apply the Distributive Property
of Multiplication over Addition.


