Number & Operations in Base Ten Progression Map

Common Core MathGrades K to 532 core standards · 42 related · 130 connections

The place value thread: counting, composing tens, multi-digit arithmetic, and decimals.

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Core learning progression

Select a standard to see its exact path and cross-topic foundations.

Kindergarten

1 standard

Grade 1

6 standards

Grade 2

9 standards

Grade 3

3 standards

Grade 4

6 standards

Grade 5

7 standards

How to Read This Map

Start in the focused explorer, where standards are grouped into human-readable skill threads and placed in grade order. Select a standard to see what it builds on and what it unlocks. The full network preserves every verified connection: solid lines are essential prerequisites and dashed lines are supporting connections. Cross-topic foundations appear in a selected standard's details. Every standard links to a full breakdown with teaching ideas. How these connections are verified.

All standards on this map, as a list

Number & Operations in Base Ten

  • 1.NBT.B.3Compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <.
  • 1.NBT.C.6Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90 (positive or zero differences), using concrete models or drawings and strategies based on place value, properties...
  • 1.NBT.C.5Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the reasoning used.
  • 1.NBT.A.1Count 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.
  • 1.NBT.B.2Understand that the two digits of a two-digit number represent amounts of tens and ones. Understand the following as special cases:
  • 1.NBT.C.4Add within 100, including adding a two-digit number and a one-digit number, and adding a two-digit number and a multiple of 10, using concrete models or drawings and strategies based on place value,...
  • 2.NBT.A.2Count within 1000; skip-count by 5s, 10s, and 100s.
  • 2.NBT.B.8Mentally add 10 or 100 to a given number 100—900, and mentally subtract 10 or 100 from a given number 100—900.
  • 2.NBT.A.4Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons.
  • 2.NBT.A.1Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases:
  • 2.NBT.A.3Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.
  • 2.NBT.B.6Add up to four two-digit numbers using strategies based on place value and properties of operations.
  • 2.NBT.B.9Explain why addition and subtraction strategies work, using place value and the properties of operations.
  • 2.NBT.B.7Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the...
  • 2.NBT.B.5Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
  • 3.NBT.A.1Use place value understanding to round whole numbers to the nearest 10 or 100.
  • 3.NBT.A.3Multiply one-digit whole numbers by multiples of 10 in the range 10—90 (e.g., 9 × 80, 5 × 60) using strategies based on place value and properties of operations.
  • 3.NBT.A.2Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.
  • 4.NBT.A.2Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and <...
  • 4.NBT.A.1Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.
  • 4.NBT.A.3Use place value understanding to round multi-digit whole numbers to any place.
  • 4.NBT.B.6Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between...
  • 4.NBT.B.5Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and...
  • 4.NBT.B.4Fluently add and subtract multi-digit whole numbers using the standard algorithm.
  • 5.NBT.A.4Use place value understanding to round decimals to any place.
  • 5.NBT.A.3Read, write, and compare decimals to thousandths.
  • 5.NBT.A.1Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
  • 5.NBT.A.2Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by...
  • 5.NBT.B.7Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition...
  • 5.NBT.B.5Fluently multiply multi-digit whole numbers using the standard algorithm.
  • 5.NBT.B.6Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship...
  • K.NBT.A.1Compose and decompose numbers from 11 to 19 into ten ones and some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (e.g., 18 =...

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