Topic: Number and Operations in Base Ten |
Common Core Mathematics 3-5 |
| Cluster Use place value understanding and properties of operations to
perform multi-digit arithmetic.[A range of algorithms may be used] |
| | Grade 3 |
| | | 3.NBT.3. | Multiply one-digit whole numbers by multiples of 10 in the range
10-90 (e.g., 9 X 80, 5 X 60) using strategies based on place value and
properties of operations. |
| Cluster Generalize place value understanding for multi-digit whole numbers. |
| | Grade 4 |
| | | 4.NBT.1. | Recognize that in a multi-digit whole number, a digit in one place
represents ten times what it represents in the place to its right. For
example, recognize that 700 ÷ 70 = 10 by applying concepts of place value
and division. |
| | | 4.NBT.2. | Read 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 <
symbols to record the results of comparisons. |
| | | 4.NBT.3. | Use place value understanding to round multi-digit whole numbers to
any place. |
| Cluster Use place value understanding and properties of operations to
perform multi-digit arithmetic. |
| | Grade 4 |
| | | 4.NBT.4. | Fluently add and subtract multi-digit whole numbers using the
standard algorithm. |
| | | 4.NBT.5. | Multiply 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 explain
the calculation by using equations, rectangular arrays, and/or area
models. |
| | | 4.NBT.6. | Find 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
multiplication and division. Illustrate and explain the calculation by
using equations, rectangular arrays, and/or area models. |
| Cluster Understand the place value system. |
| | Grade 5 |
| | | 5.NBT.1. | Recognize 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.2. | Explain 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 a power of 10. Use whole-number exponents to denote
powers of 10. |
| | | 5.NBT.3. | Read, write, and compare decimals to thousandths. |
| | | 5.NBT.3.a. | Read and write decimals to thousandths using base-ten numerals,
number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 ×
10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000). |
| | | 5.NBT.3.b. | Compare two decimals to thousandths based on meanings of the
digits in each place, using >, =, and < symbols to record the results
of comparisons. |
| | | 5.NBT.4. | Use place value understanding to round decimals to any place. |
| Cluster Perform operations with multi-digit whole numbers and with
decimals to hundredths. |
| | Grade 5 |
| | | 5.NBT.6. | Find 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 between
multiplication and division. Illustrate and explain the calculation by
using equations, rectangular arrays, and/or area models. |
| | | 5.NBT.7. | Add, 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 and
subtraction; relate the strategy to a written method and explain the
reasoning used. |