Common Core State Standards for Mathematics Standards for Mathematical Practice [K-12]
Make sense of problems and persevere in solving them. [K-12]
Reason abstractly and quantitatively. [K-12]
Construct viable arguments and critique the reasoning of others. [K-12]
Look for and make use of structure. [K-12]
Number and Operations in Base Ten [K - 5]
Use place value understanding and properties of operations to perform multi-digit arithmetic. [3 - 4]
4. Fluently add and subtract multi-digit whole numbers using the standard algorithm. [4]
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]
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. [4]
Generalize place value understanding for multi-digit whole numbers. [4]
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]
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]
Understand the place value system. [5]
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]
3. Read, write, and compare decimals to thousandths. [5]
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]
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]
Perform operations with multi-digit whole numbers and with decimals to hundredths. [5]
5. Fluently multiply multi-digit whole numbers using the standard algorithm. [5]
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]
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. [5]
