## Number & Operations in Base Ten – 4th Grade

**Generalize place value understanding for multi-digit whole numbers.**

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.

**Teacher Notes
**The teacher needs to understand how the value of a digit can help students compare numbers. Knowing the relationship between two numbers helps students to organize, classify, and interpret numbers and data, and thus it makes it easier to compare numbers and problem solve.

**Student Knowledge Goals**

I know place value positions to the millions place.I can tell the value of a digit in a given number up to one million.I understand and can correctly read the symbols <, >, and =.

I can compare two numbers up to one million.

I can use the symbols <, >, and = to record the correct relationship between two numbers up to one million.I can read whole numbers up to one million in base-ten numerals, expanded, and word form.I can write whole numbers up to one million in base-ten numerals, expanded, and word form.

**Vocabulary**

equal, =

expanded form

greater than, >

less than, <

numeral

place value positions (ten thousands, millions, etc.)

**Lessons**

Engage NY Module 1 A-3 – Name numbers within 1 million by building understanding of the place value chart and placement of commas for naming base thousand units.

Engage NY Module 1 A-4 – Read and write multi-digit numbers using base ten numerals, number names, and expanded form.

Engage NY Module 1 B-5 – Compare numbers based on meanings of the digits, using >, <, or = to record the comparison.

Engage NY Module 1 B-6 – Find 1, 10, and 100 thousand more and less than a given number.

**Student Video Lessons**

Virtual Nerd – 4.NBT.A.1

Learn Zillion – Read, write, and compare multi-digit whole numbers

Learn Zillion – Understand place value in terms of word forms

Study Jams – Expanded Notation

Study Jams – Ordering Whole Numbers

**Online Problems and Assessments
**Khan Academy – Questions and Video Lessons

Place Value

Word Names for Numbers

Compare Numbers

Addition Patterns over Increasing Place Values

Inequalities with Multiplication

Inequalities with Division

Inequalities – Addition, Subtraction, Multiplication & Division

**Online Games **

Comparing Numbers

**Printables**

Expanded Form

Comparing Numbers

Write, Compare, and Expand Numbers