Grade 1 Mathematics Standards
The Common Core State Standards
In Grade 1, instructional time focuses on four critical areas:
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developing understanding of addition, subtraction, and strategies for addition and
subtraction within 20;
developing understanding of whole number relationship and place value, including
grouping in tens and ones;
developing understanding of linear measurement and measuring lengths as iterating
length units;
reasoning about attributes of, and composing and decomposing geometric shapes.
Overview of Grade 1 Standards
Content and Mathematical Practices Standards define what students should understand and be able to
do. Domains are larger groups of related standards. Standards from different domains may sometimes be
closely related. Grade 1 Domains are Operations and Algebraic Thinking, Numbers and Operations in
Base Ten, Measurement and Data, and Geometry.
Domains
Clusters
Mathematical
Practices
Operations and Algebraic
Thinking
Number & Operations
in Base Ten
Measurement and
Data
Geometry
 Represent and solve
problems involving
addition and subtraction
 Extend the
counting sequence
 Measure lengths
indirectly and by
iterating length
units
 Reason with
shapes and
their
attributes
 Understand and apply
properties of operations
and the relationship
between addition and
subtraction
 Add and subtract within
20
 Work with addition and
subtraction equations
1. Make sense of
3.
problems and
persevere in
solving them.
2. Reason abstractly
and quantitatively.
 Understand place
value
 Use place value
understanding and
properties of
operations to add
and subtract
Construct viable
arguments and
critique the
reasoning of
others.
4. Model with
mathematics.
 Tell and write
time
 Represent and
interpret data
5. Use appropriate
tools strategically.
7. Look for and make
use of structure.
6. Attend to
precision.
8. Look for and
express regularity
in repeated
reasoning.
Grade 1 Mathematical Practice Standards
Students in kindergarten through high school will have experiences that allow them to develop
these mathematical practices.
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
Grade 1 Mathematics Standards
The Common Core State Standards
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Grade 1 Content Standards for Mathematics
Operations and Algebraic Thinking
 Represent and solve problems involving addition and subtraction within 20.
o Solve word problems involving situations of adding to, taking from, putting
together, taking apart, and comparing with unknowns in all positions i.e. by using
objects, drawings, and equations with a symbol for the unknown number to
represent the problem.
o Solve word problems that call for adding three whole numbers whose sum is less
than or equal to 20.
 Understand and apply properties of operations and relationship between addition and
subtraction.
o Apply the properties of operations as strategies to add and subtract (e.g. 2 + 3 = 5
is the same as 3 + 2 = 5.)
o Understand subtraction as an unknown-addend problem (e.g. subtract 10-8 by
finding the number that makes 10 when added to 8).
 Add and subtract within 20.
o Relate counting to addition and subtraction (e.g. counting on 2 to add 2).
o Automatically know the addition and subtraction facts with totals to 10.
o Use strategies such as counting on 1 or 2, making 10, decomposing a number
leading to 10 (i.e. 13-4 as 13-3 = 10; 10 – 1 = 9), relating addition to subtraction;
doubles; near doubles.
 Work with addition and subtraction equations.
o Understand the meaning of the equals sign and determine if equations are true or
false.
o Determine the unknown whole number in addition or subtraction equations
relating three whole numbers.
Numbers and Operations in Base Ten
 Extend the counting sequence.
o Count to 120 starting at any number less than 120. In this range, read and write
numerals and represent a number of objects with a written numeral.
 Understand place value
o Understand that two digit numbers represent tens and ones. Understand that
numbers 10, 20, 30,…90 refer to one, two, three…nine tens.
o Compare two 2-digit numbers based on the meanings of the tens and ones digits,
recording the results of comparisons using the symbols <, =, and >.
 Use place value understanding and properties of operations to add and subtract.
Grade 1 Mathematics Standards
The Common Core State Standards
o Add within 100 including adding a 2-digit and 1-digit number and adding a 2
digit number and a multiple of 10 using concrete models, 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 and explain the
reasoning use. Understand that in adding two-digit numbers, one adds tens and
tens and ones and ones; and sometimes it is necessary to compose a ten.
 Mentally know 10 more than or 10 less than a 2-digit number without having to count.
Explain the reasoning used.
 Subtract multiples of 10 from multiples of 10 using concrete models, 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 and explain the
reasoning used. (90-20 = 70)
Measurement and Data
 Measure lengths indirectly and by iterating length units.
o Order three objects by length; compare the lengths of two objects indirectly by
using a third object.
 Tell and write time.
o Tell and write time in hours and half-hours using analog and digital clocks.
 Represent and interpret data.
o Organize, represent, and interpret data with up to three categories. Ask and
answer questions about the total number of data points, ho w many in each
category, and how many more or less are in one category than in another.
Geometry
 Reason with shapes and their attributes
o Distinguish between attributes that define the shape (triangles have three sides)
and attributes that do not (color, orientation, size). Build and draw shapes to
possess defining attributes.
 Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles,
and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right
circular cones, and right circular cylinders) to create a composite shape, and compose
new shapes from the composite shape. (Students do not need to learn the formal names
such as “right rectangular prism.”)
 Partition circles and rectangles into two and four equal shares.
o Describe the shares using the words halves, fourths, and quarters and use the
phrases half of, fourth of, and quarter of.
o Describe the whole as two or four of the shares.
o Understand that decomposing into more equal shares creates smaller shares.
Common Teaching and Learning Resources
 Growing with Mathematics
Grade 1 Mathematics Standards
The Common Core State Standards
 Teaching Student-Centered Mathematics, K-3
 MathLand Grade 1
 Math Work Stations
Current Common District Assessments
 Numbers to 100 Performance Task, Growing with Mathematics Topic 6
 Ten as a Measuring Tool, Growing with Mathematics Topic 9
 Comprehensive Assessment