Base Ten Numerals & Names


With our Base Ten Numerals & Names lesson plan, students learn about the concept of the base ten numeral, enabling students to read and write multi-digit whole numbers using base ten numerals, names, and expanded form. Students also learn about place value and standard form during this lesson.

Included with this lesson are some adjustments or additions that you can make if you’d like, found in the “Options for Lesson” section of the Classroom Procedure page. One of the optional additions to this lesson is to use place value charts for students to fill in so that they can easily name their numbers and expand if they are having difficulty.

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What our Base Ten Numerals & Names lesson plan includes

Lesson Objectives and Overview: Base Ten Numerals and Names introduces students to the math concept of base ten. Place value, standard form, and expanded form are all covered throughout the lesson. At the end of the lesson, students will be able to read and write multi-digit whole numbers using base ten numerals, names, and expanded form. This lesson is for students in 3rd grade and 4th grade.

Classroom Procedure

Every lesson plan provides you with a classroom procedure page that outlines a step-by-step guide to follow. You do not have to follow the guide exactly. The guide helps you organize the lesson and details when to hand out worksheets. It also lists information in the blue box that you might find useful. You will find the lesson objectives, state standards, and number of class sessions the lesson should take to complete in this area. In addition, it describes the supplies you will need as well as what and how you need to prepare beforehand.

Options for Lesson

Included with this lesson is an “Options for Lesson” section that lists a number of suggestions for activities to add to the lesson or substitutions for the ones already in the lesson. One optional addition to the lesson activity is to have your students use various numbers of cups for their individual skill level. You can also add cups to represent the billions for more advanced students, have students write numbers on the board and then have the class practice expanding and saying the numbers together. To add to this lesson, you can use place value charts for students to fill in so that they can easily name their numbers and expand if they are having difficulty.

Teacher Notes

The teacher notes page includes lines that you can use to add your own notes as you’re preparing for this lesson.


Base The Numerals and Names

The Base Ten Numerals & Names lesson plan includes three content pages. We make all base ten numbers with the numerals 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The lesson shows a place value chart from ones to hundred millions. The placement of the digits in a number determines the value of the number. We call this place value. The place value determines the value of the number. If we want to write a number in standard form, we can use a place value chart. The lesson includes a few examples.

When writing a number in expanded form and one of the digits is a 0, you can either write a 0 in the expanded form or omit it. We can also write numbers using words instead of digits. It might help to look at the place value chart when learning to write very large or small numbers.

The lesson includes several examples of numbers written in expanded form and their place value charts. One example shows that we write the number 734,856,912 as seven hundred thirty-four million, eight hundred fifty-six thousand, nine hundred twelve.

Comparing Two Numbers

We use place value to compare numbers using three symbols: > (greater than), < (less than), and = (equal to). For example, we might want to compare 4,521 and 4,236. To compare them, we start with the highest place value. If they’re the same, we move on to the next place value. We continue this until there’s a difference. We then know which symbol to use. In this example, the thousands place is the same, but the hundreds place is different. Therefore, 4,521 > 4,236. The lesson closes with a few more examples.


The Base Ten Numerals & Names lesson plan includes four worksheets: an activity worksheet, a practice worksheet, a homework assignment, and a quiz. You can refer to the guide on the classroom procedure page to determine when to hand out each worksheet.


Students will work with a partner to complete the activity worksheet. Each pair will twist a number using the cups. They will then practice expanding and writing the number in words.


For the practice worksheet, students will complete a few different exercises. They will fill in a table where they identify the place value and value of the digit for the bolded digits in different numbers. They will write the names for the given numerals and write numerals for the given names. Finally, they will fill in the correct sign (>, <, or =) for different equations.


The homework assignment asks students to find ten numbers in a magazine or other source that show the place value listed. They will copy the number and then write it in expanded form and in words.


This lesson includes a quiz that you can use to test students’ understanding of the lesson material. For the quiz, students will write numbers in standard form and then compare them using the >, <, or = symbols.

Worksheet Answer Keys

This lesson plan includes answer keys for the practice worksheet and the quiz. If you choose to administer the lesson pages to your students via PDF, you will need to save a new file that omits these pages. Otherwise, you can simply print out the applicable pages and keep these as reference for yourself when grading assignments.

Additional information


3rd Grade, 4th Grade



State Educational Standards


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klaudia c.

Amazing website

Thank you very much for sharing these great resources with other teachers. I will be using them this year in my 3rd grade classroom!

Dana P.

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There was a problem downloading the lesson initially, but that was quickly resolved and it was smooth sailing with this lesson from there; although I am now having same download issue with other lessons. The material is always great, but the technical issues that are occurring more frequently are a bit frustrating.