Decimals Expanded Form

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Our Decimals Expanded Form lesson plan teaches students how to write decimals in expanded form. Students practice writing decimals in expanded form in order to demonstrate their understanding of the lesson material.

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 have your students find numbers in magazines or online to expand.

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Description

What our Decimals Expanded Form lesson plan includes

Lesson Objectives and Overview: Decimals Expanded Form introduces students to writing decimals in expanded form. Expanded form is reviewed at the beginning of the lesson and an illustration is included showing the name of each place value. At the end of the lesson, students will be able to write decimals through the hundredths place in expanded and standard form. This lesson is for students in 5th 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 this lesson is to have your students use graph paper to write out each place value and expand using decimals. You could also have your students write each number on a place value chart to determine the value prior to writing the expanded form. Another fun idea is to have them create numbers and exchange them with a partner. Finally, you could have your students find numbers in magazines or online to expand.

Teacher Notes

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

DECIMALS EXPANDED FORM LESSON PLAN CONTENT PAGES

Decimals in Expanded Form

The Decimals Expanded Form lesson plan includes two content pages. Expanded form is a way to write a number out to show the value of each digit using its place value. This is an addition expression. The position of a digit in a given number tells you what its value is. Each digit’s value is reflected on a place value chart.

The lesson gives several examples of how to expand a decimal. The first example is the number 648.37. To expand the decimal, we multiply the digit times the place value. The first digit is 6, and its place value is 100, so in expanded form it becomes 6 * 100. We do this with each digit. The final standard decimal form of 648.37 is 6 * 100 + 4 * 10 + 8 * 1 + 3 * 1 ⁄ 10 + 7 * 1 ⁄ 100.

The lesson goes over two more examples. For the number 391.04, we use the same method. The final standard decimal form is 3 * 100 + 9 * 10 + 1 * 1 + 0 * 1 ⁄ 10 + 4 * 1 ⁄ 100 or 3 * 100 + 9 * 10 + 1 * 1 + 4 * 1 ⁄ 100. We don’t need an addition expression for the value of zero, but can include it if we want to.

DECIMALS EXPANDED FORM LESSON PLAN WORKSHEETS

The Decimals Expanded Form 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.

FIND SOMEONE ACTIVITY WORKSHEET

The activity worksheet asks students to find another person in their class to expand each decimal on the worksheet and sign their paper, only using each person once. They will double-check each answer for accuracy.

EXPANDED AND STANDARD PRACTICE WORKSHEET

For the practice worksheet, students will first rewrite each number in expanded form. Next, they will rewrite each number in standard form.

DECIMALS EXPANDED FORM HOMEWORK ASSIGNMENT

Like the practice worksheet, for the homework assignment, students will first rewrite each number in expanded form. Next, they will rewrite each number in standard form.

QUIZ

This lesson also includes a quiz that you can use to test students’ understanding of the lesson material. For the quiz, students will rewrite a number in expanded form and a number in standard form.

Worksheet Answer Keys

This lesson plan includes answer keys for the practice worksheet, the homework assignment, 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

grade-level

5th Grade

subject

Math

State Educational Standards

LB.Math.Content.5.NBT.A.3.A