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# Number & Operations in Base Ten Activities

## Kindergarten

K.NBT.1

Numbers in the Teens

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.2.a

Place Value & Tens and Ones

10 can be thought of as a bundle of ten ones - called a "ten."

1.NBT.2.b

Place Value & Tens and Ones

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

1.NBT.2.c

Place Value & Tens and Ones

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).

1.NBT.3

Compare Numbers

Compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <.

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.

1.NBT.5

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

2.NBT.1.a

Place Value

100 can be thought of as a bundle of ten tens - called a "hundred."

2.NBT.1.b

Place Value

The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones).

2.NBT.2

Skip-Count to 1000

Count within 1000; skip-count by 5s, 10s, and 100s.

2.NBT.3

Numbers to 1000

Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.

2.NBT.4

Compare 3-Digit Numbers

Compare 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.5

Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.

3.NBT.1.i

Round to Tens and Hundreds

Round a whole number to the nearest 10.

3.NBT.1.ii

Round to Tens and Hundreds

Round a whole number to the nearest 100.

3.NBT.2.i

Use various strategies to solve addition equations within 1000.

3.NBT.2.ii

Subtract Within 1000

Use various strategies to solve subtraction equations within 1000.

4.NBT.1

Place Value and Division

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.

4.NBT.2

Compare Big Numbers: >, <, and =

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.2

Expanded Form

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

Round Multi-Digit Whole Numbers

Use place value understanding to round multi-digit whole numbers to any place.

4.NBT.4

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

4.NBT.4

Subtract Big Whole Numbers

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

4.NBT.5

Multiply Multi-Digit Numbers

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

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.2

Multiplication Patterns

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.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 Decimals to Thousandths

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

Round Decimals to Any Place

Use place value understanding to round decimals to any place.

5.NBT.5

Multiply Multi-Digit Numbers

Fluently multiply multi-digit whole numbers using the standard algorithm.

5.NBT.6

Find Whole-Number Quotients

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

Operations with Decimals

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.