Grades
Standard
Partition a rectangle into rows and columns of same-size squares and count to find the total number of them.
Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half [...]
Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of [...]
Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when [...]
Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., [...]
Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown [...]
Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90 (positive or zero differences), [...]
Order three objects by length; compare the lengths of two objects indirectly by using a third object.
Express the length of an object as a whole number of length units, by laying multiple copies of a shorter [...]
Tell and write time in hours and half-hours using analog and digital clocks.
Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data [...]
Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size); for a [...]
Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, [...]
Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, [...]
Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, [...]
Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of [...]
Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing [...]
Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up [...]
Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 [...]
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, [...]
Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.
Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols [...]
Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition [...]
Add up to four two-digit numbers using strategies based on place value and properties of operations.
Identify shapes as two-dimensional (lying in a plane, “flat”) or three-dimensional (“solid”).
Analyze and compare two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, [...]
Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes.
Compose simple shapes to form larger shapes. For example, "can you join these two triangles with full sides touching to [...]
Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking [...]
Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, [...]
Apply properties of operations as strategies to add and subtract. Examples: If 8 + 3 = 11 is known, then [...]
Understand subtraction as an unknown-addend problem. For example, subtract 10 – 8 by finding the number that makes 10 when [...]
Relate counting to addition and subtraction (e.g., by counting on 2 to add 2).
Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making [...]
Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. For [...]
Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. For example, determine the unknown [...]
Count to 120, starting at any number less than 120. In this range, read and write numerals and represent a [...]
Understand that the two digits of a two-digit number represent amounts of tens and ones. Understand the following as special [...]
The numbers from 11 to 19 are composed of a ten and one, two, three, four, five, six, seven, eight, [...]
The numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to one, two, three, four, five, six, seven, [...]
Compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the [...]
Add within 100, including adding a two-digit number and a one-digit number, and adding a two-digit number and a multiple [...]
Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the [...]
Count forward beginning from a given number within the known sequence (instead of having to begin at 1).
Write numbers from 0 to 20. Represent a number of objects with a written numeral 0-20 (with 0 representing a [...]
Understand the relationship between numbers and quantities; connect counting to cardinality.
When counting objects, say the number names in the standard order, pairing each object with one and only one number [...]
Grades
Standard
Partition a rectangle into rows and columns of same-size squares and count to find the total number of them.
Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half [...]
Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of [...]
Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when [...]
Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., [...]
Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown [...]
Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90 (positive or zero differences), [...]
Order three objects by length; compare the lengths of two objects indirectly by using a third object.
Express the length of an object as a whole number of length units, by laying multiple copies of a shorter [...]
Tell and write time in hours and half-hours using analog and digital clocks.
Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data [...]
Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size); for a [...]
Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, [...]
Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, [...]
Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, [...]
Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of [...]
Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing [...]
Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up [...]
Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 [...]
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, [...]
Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.
Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols [...]
Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition [...]
Add up to four two-digit numbers using strategies based on place value and properties of operations.
Identify shapes as two-dimensional (lying in a plane, “flat”) or three-dimensional (“solid”).
Analyze and compare two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, [...]
Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes.
Compose simple shapes to form larger shapes. For example, "can you join these two triangles with full sides touching to [...]
Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking [...]
Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, [...]
Apply properties of operations as strategies to add and subtract. Examples: If 8 + 3 = 11 is known, then [...]
Understand subtraction as an unknown-addend problem. For example, subtract 10 – 8 by finding the number that makes 10 when [...]
Relate counting to addition and subtraction (e.g., by counting on 2 to add 2).
Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making [...]
Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. For [...]
Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. For example, determine the unknown [...]
Count to 120, starting at any number less than 120. In this range, read and write numerals and represent a [...]
Understand that the two digits of a two-digit number represent amounts of tens and ones. Understand the following as special [...]
The numbers from 11 to 19 are composed of a ten and one, two, three, four, five, six, seven, eight, [...]
The numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to one, two, three, four, five, six, seven, [...]
Compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the [...]
Add within 100, including adding a two-digit number and a one-digit number, and adding a two-digit number and a multiple [...]
Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the [...]
Count forward beginning from a given number within the known sequence (instead of having to begin at 1).
Write numbers from 0 to 20. Represent a number of objects with a written numeral 0-20 (with 0 representing a [...]
Understand the relationship between numbers and quantities; connect counting to cardinality.
When counting objects, say the number names in the standard order, pairing each object with one and only one number [...]