Or download our app "Guided Lessons by Education.com" on your device's app store.
October 29, 2015

by Angela Fiorille
Download lesson plan
Grade
Subject
Thank you for your input.
Standards
Standards
Standards
No standards associated with this content.
Standards
Standards
Standards
Standards
Standards
Standards
Which set of standards are you looking for?
Learning Objectives
Students will be able to describe what happens to the size of a number as it is multiplied by powers of 10. Students will be able to explain patterns in the number of zeros of the product when multiplying by powers of 10.
Introduction
(5 minutes) To begin the lesson, activate students' prior knowledge by using base ten blocks to review powers of 10.
 With the blocks, show a unit and ask what the value is. Write 1 on the board.
 Show a rod and ask what the value is. Write 10 on the board.
 Then, show a flat and ask what the value is. Write 100 on the board.
 Last, show a cube and ask what the value is. Write 1000 on the board.
 Ask students what would come after 1000. Write 10,000 on the board.
 If appropriate for your students, go to 100,000 and 1,000,000.
 Keep all of the numbers you wrote on the board for the next part of the lesson.
Explicit Instruction/Teacher modeling
(15 minutes) Now, explain to students that the numbers on the board represent powers of ten.
 Pass out the Growing by Powers of Ten Chart.
 Tell students that they are going to work together to fill in the chart, which will then be used to help them solve powers of ten multiplication problems.
 Go over each column heading for the chart. Either display the chart on the whiteboard or make an anchor chart with the same chart.
 Ask students if they know what an exponent is. Explain that an exponent is a shorthand way to tell how many times to use a number in multiplication problems.
 Talk through filling the chart, one row at a time.
 Once the chart is filled in, ask students what patterns they notice.
 Make sure students understand that each power represents an increase of 10 times the number.
Guided Practice
(5 minutes) Tell students that they will now use the chart to help solve a set of problems involving multiplying by powers of ten.
 Write 3 x 10 to the one power on the board. Explain that because it is 10 to the one power, the problem is still 3 x 10.
 Ask students for the answer. Write 30 on the board.
 Continue modeling by writing: 3 x 10 to the 2 power = 300. 3 x 10 to the 3 power = 3000. 3 x 10 to the fourth power = 30,000. 3 x 10 to the fifth power = 300,000. 3 x 10 to the sixth power = 3,000,000.
 Once you have reached 3,000,000, stop and ask students what happened as they multiplied by another power of ten. Make sure they understand that the answers grew by zero, and that represents a power of ten.
Independent working time
(25 minutes) Tell students that the goal of this lesson is to understand powers of ten with whole numbers, and in future lessons, they will understand powers of ten with relation to decimals.
 Pass out the Growing by Powers of Ten Practice Problems worksheet.
 Instruct your students to use their Growing by Powers of Ten Chart and base ten blocks as needed to help them solve the practice problems.
 As students work, walk around the room to provide help to students who need extra support.
Differentiation
 Enrichment: Give your students the Growing by Powers of Ten Challenge Problems to complete. Depending on how advanced they are, you may also have them complete the Growing by Powers of Ten Chart on their own or paired with another advanced student.
 Support: Give your students base ten blocks to use in the chart. Have them draw a picture if they need more visuals of the multiplication problems.
Assessment
(10 minutes) As your students are completing the chart and worksheets, make sure that they are understanding the purpose of exponents.
 Walk around, and informally assess their understanding, scaffolding their learning where needed with blocks and visuals.
 Pick up their worksheets at the end of the class to check for understanding.
Review and closing
(5 minutes) Gather your students together for a quick review. Write a few multiplication problems on the board.
 Ask students to help solve them, and encourage them to explain their reasoning and write out the extended number.
Related learning resources
Area Model Multiplication
Worksheet
Area Model Multiplication
The area model visual allows children to see the layers of computation within a multidigit multiplication problem.
4th grade
Math
Worksheet
Fun with Fractions
Workbook
Fun with Fractions
This fraction workbook covers fraction equivalents, simplification, adding and subtracting and improper fractions.
4th grade
Math
Workbook
Get Ready for Fourth Grade
Workbook
Get Ready for Fourth Grade
This summerthemed workbook prepares students to enter the fourth grade with the skills theyâ€™ll need, and includes practice with the core subjects of word study, math, reading and writing.
4th grade
Math
Workbook
Master Multiplication
Workbook
Master Multiplication
These math worksheets apply multiplication to the real world with interactive games and word problems that address multiplying doubledigit numbers, place values and the properties of operations.
4th grade
Math
Workbook
Reading Comprehension
Workbook
Reading Comprehension
These articles, short stories, fairy tales and fables teach kids about a wide range of subjects so your child can learn more about history and science while improving literacy and vocabulary skills.
4th grade
Reading & Writing
Workbook
Growing by Powers of Ten
Lesson plan
Growing by Powers of Ten
Make multiplying by powers of ten more accessible to your students by focusing on patterns in the number of zeros!
4th grade
Math
Lesson plan
Growing by Powers of Ten Chart
Worksheet
Growing by Powers of Ten Chart
Use this worksheet to help your students see the patterns within the powers of ten.
5th grade
Math
Worksheet
Glossary: Powers of Ten Patterns
Worksheet
Glossary: Powers of Ten Patterns
Use this glossary with the EL Support Lesson: Powers of Ten Patterns.
5th grade
Math
Worksheet
Vocabulary Cards: Powers of Ten Patterns
Worksheet
Vocabulary Cards: Powers of Ten Patterns
Use these vocabulary cards with the EL Support Lesson: Powers of Ten Patterns.
5th grade
Math
Worksheet
Multiplying by Powers of 10
Worksheet
Multiplying by Powers of 10
Get to know the mighty number 10 and all the powers it possesses in this math worksheet about multiplying by powers of 10.
5th grade
Math
Worksheet
Powers of 10
Lesson plan
Powers of 10
Teach your students to recognize patterns of zeros when multiplying by powers of 10 with exponents.
5th grade
Math
Lesson plan
Multiplication and Powers of 10
Exercise
Multiplication and Powers of 10
Have your students merge two skill sets with these exercises that incorporate powers of ten into multiplication problems.
5th grade
Math
Exercise