
First Grade Math
Number and Numeration
Program Goal

Content Thread

GradeLevel Goal

Understand the Meanings, Uses, and Representations of
Numbers

Rote counting

Count on by 1s, 2s, 5s, 10s, 25s, and 100s past 1,000
and back by 1s, 10s, and 100s from any number less than
1,000 with and without number grids, number lines, and
calculators.

Place value and notation

Read, write, and model with manipulatives whole numbers
up to 10,000; identify places in such numbers and the
values of the digits in those places; read and write
money amounts in dollarsandcents notation.

Meanings and uses of fractions

Use manipulatives and drawings to model fractions as
equal parts of a region or a collection; describe the
models and name the fractions.

Number theory

Recognize numbers as odd or even.

Understand Equivalent Names for Numbers

Equivalent names for whole numbers

Use tally marks, arrays, and numerical expressions
involving addition and subtraction to give equivalent
names for whole numbers.

Equivalent names for fractions, decimals, and percents

Use manipulatives and drawings to model equivalent names
for 1/2.

Understand Common Numerical Relations

Comparing and ordering numbers

Compare and order whole numbers up to 10,000; use area
models to compare fractions.

Operations and Computation
Program Goal

Content Thread

GradeLevel Goal

Compute Accurately

Addition and subtraction facts

Demonstrate automaticity with all addition facts through
10 + 10 and fluency with the related subtraction facts.

Addition and subtraction procedures

Use manipulatives, number grids, tally marks, mental
arithmetic, paper & pencil, and calculators to solve
problems involving the addition and subtraction of
multidigit whole numbers; describe the strategies used;
calculate and compare values of coin and bill
combinations.

Make Reasonable Estimates

Computational estimation

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

Understand Meanings of Operations

Models for the operations

Identify 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
tally 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, mode, and median
of a data set.

Understand and Apply Basic Concepts of Probability

Qualitative probability

Describe events using certain, likely, unlikely,
impossible, and other basic probability terms; explain
the choice 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 inch and centimeter; use standard and
nonstandard tools to measure and estimate weight.

Area, perimeter, volume, and capacity

Partition rectangles into unit squares and count unit
squares to find areas.

Units and systems of measurement

Describe relationships between days in a week and hours
in a day.

Money

Make exchanges between coins and bills.

Use and Understand Reference Frames

Temperature

Read temperature on both the Fahrenheit and Celsius
scales.

Time

Tell and show time to the nearest five minutes 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

Draw line segments and identify parallel line segments.

Plane and solid figures

Identify, describe, and model plane and solid figures
including circles, triangles, squares, rectangles,
hexagons, trapezoids, rhombuses, spheres, cylinders,
rectangular prisms, pyramids, cones, and cubes.

Apply Transformations and Symmetry in Geometric
Situations

Transformations and symmetry

Create and complete twodimensional symmetric shapes or
designs.

Patterns, Functions, and Algebra
Program Goal

Content Thread

GradeLevel Goal

Understand Patterns and Functions

Patterns and functions

Extend, describe, and create numeric, visual, and
concrete patterns; describe rules for patterns and use
them to solve problems; use words and symbols to
describe and write rules for functions involving
addition and subtraction 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 expressions and number
sentences using the symbols +,, =, >, and <; solve
number sentences involving addition and subtraction;
write expressions and number sentences to model number
stories.

Properties of the arithmetic operations

Describe the Commutative and Associative Properties of
Addition and the Additive Identity and apply them to
mental arithmetic problems.


