Standards - Mathematics

Extend the number sequence from 0 to 120.

Count forward and backward by ones, starting at any number less than 120.

Read numerals from 0 to 120.

Write numerals from 0 to 120.

Represent a number of objects from 0 to 120 with a written numeral.

Explain that the two digits of a two-digit number represent amounts of tens and ones.

Identify a bundle of ten ones as a ten.““

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

Identify the numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 as one, two, three, four, five, six, seven, eight, or nine tens (and 0 ones).

Add a two-digit number and a one-digit number.

Add a two-digit number and a multiple of 10.

Demonstrate that in adding two-digit numbers, tens are added to tens, ones are added to ones, and sometimes it is necessary to compose a ten.

Relate the strategy for adding a two-digit number and a one-digit number to a written method and explain the reasoning used.

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

Explain that the three digits of a three-digit number represent amounts of hundreds, tens, and ones.

Explain the following three-digit numbers as special cases: 100 can be thought of as a bundle of ten tens, called a hundred and 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).

Count within 1000 by ones, fives, tens, and hundreds.

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

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

Use a variety of strategies to add up to four two-digit numbers.

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.

Explain 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.

Mentally add and subtract 10 or 100 to a given number between 100 and 900.

Explain why addition and subtraction strategies work, using place value and the properties of operations.

Identify the nearest 10 or 100 when rounding whole numbers, using place value understanding.

Use various strategies to add and subtract fluently within 1000.

Use concrete materials and pictorial models based on place value and properties of operations to find the product of a one-digit whole number by a multiple of ten (from 10 to 90).

Using models and quantitative reasoning, explain that in a multi-digit whole number, a digit in any place represents ten times what it represents in the place to its right.

Read and write multi-digit whole numbers using standard form, word form, and expanded form.

Use place value understanding to compare two multi-digit numbers using >, =, and < symbols.

Round multi-digit whole numbers to any place using place value understanding.

Use place value strategies to fluently add and subtract multi-digit whole numbers and connect strategies to the standard algorithm.

Find the product of two factors (up to four digits by a one-digit number and two two-digit numbers), using strategies based on place value and the properties of operations.

Illustrate and explain the product of two factors using equations, rectangular arrays, and area models.

Use strategies based on place value, properties of operations, and/or the relationship between multiplication and division to find whole-number quotients and remainders with one-digit divisors and up to four-digit dividends.