| 1.NBT.2. Understand that the two digits of a two-digit number represent amounts of tens and ones. Understand the following as special cases: | Common Core Mathematics | Grade 1 | Number And Operations In Base Ten | Understand Place Value |
| 1.NBT.4. Add 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, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Understand that in adding two-digit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten. | Common Core Mathematics | Grade 1 | Number And Operations In Base Ten | Use Place Value Understanding And Properties Of Operations To Add And Subtract |
| 1.NBT.6. Subtract 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 of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. | Common Core Mathematics | Grade 1 | Number And Operations In Base Ten | Use Place Value Understanding And Properties Of Operations To Add And Subtract |
| 1.OA.6. Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 ? 4 = 13 ? 3 ? 1 = 10 ? 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 ? 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13). | Common Core Mathematics | Grade 1 | Operations And Algebraic Thinking | Add And Subtract Within 20 |
| 2.NBT.1. Understand 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: | Common Core Mathematics | Grade 2 | Number And Operations In Base Ten | Understand Place Value |
| 2.NBT.5. Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. | Common Core Mathematics | Grade 2 | Number And Operations In Base Ten | Use Place Value Understanding And Properties Of Operations To Add And Subtract |
| 2.NBT.6. Add up to four two-digit numbers using strategies based on place value and properties of operations. | Common Core Mathematics | Grade 2 | Number And Operations In Base Ten | Use Place Value Understanding And Properties Of Operations To Add And Subtract |
| 2.NBT.7. Add 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 strategy to a written method. Understand that in adding or subtracting three- digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds. | Common Core Mathematics | Grade 2 | Number And Operations In Base Ten | Use Place Value Understanding And Properties Of Operations To Add And Subtract |
| 3.NBT.2. Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction. | Common Core Mathematics | Grade 3 | Number And Operations In Base Ten | Use Place Value Understanding And Properties Of Operations To Perform Multi-Digit Arithmetic.4 |
