NBT. Number and Operations in Base Ten

    K.NBT. Kindergarten - Number and Operations in Base Ten

      K.NBT.A. Work with numbers 11--19 to gain foundations for place value.

        K.NBT.A.1. Compose 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 = 10 + 8); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones.

    1.NBT. Grade 1 - Number and Operations in Base Ten

      1.NBT.B. Understand place value.

        1.NBT.B.2. Understand that the two digits of a two-digit number represent amounts of tens and ones. Understand the following as special cases:

          1.NBT.B.2.a. 10 can be thought of as a bundle of ten ones–-called a “ten.”

          • No tasks yet illustrate this standard.

          1.NBT.B.2.b. The numbers from 11 to 19 are composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones.

          • No tasks yet illustrate this standard.

          1.NBT.B.2.c. The numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to one, two, three, four, five, six, seven, eight, or nine tens (and 0 ones).

          • No tasks yet illustrate this standard.

      1.NBT.C. Use place value understanding and properties of operations to add and subtract.

        1.NBT.C.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.

        1.NBT.C.5. Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the reasoning used.

        1.NBT.C.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.

        • No tasks yet illustrate this standard.

    3.NBT. Grade 3 - Number and Operations in Base Ten

      3.NBT.A. Use place value understanding and properties of operations to perform multi-digit arithmetic.

        3.NBT.A.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.

        3.NBT.A.3. Multiply one-digit whole numbers by multiples of 10 in the range 10–90 (e.g., $9 \times 80$, $5 \times 60$) using strategies based on place value and properties of operations.

    4.NBT. Grade 4 - Number and Operations in Base Ten

      4.NBT.B. Use place value understanding and properties of operations to perform multi-digit arithmetic.

        4.NBT.B.4. Fluently add and subtract multi-digit whole numbers using the standard algorithm.

        • No tasks yet illustrate this standard.

        4.NBT.B.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.B.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.

    5.NBT. Grade 5 - Number and Operations in Base Ten

      5.NBT.B. Perform operations with multi-digit whole numbers and with decimals to hundredths.

        5.NBT.B.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.B.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.