Growing by Powers of Ten

Lesson Plan:

# Growing by Powers of Ten

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by Angela Fiorille

October 29, 2015

by Angela Fiorille

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Grade

Subject

Standards

October 29, 2015

by Angela Fiorille

### 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.

### Lesson

#### 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/Interactive Modeling
*
(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.

### Extend

#### 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.

### Review

#### 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.

Start Lesson
Guided Lesson: Number Sense 3

Guided Lessons are a sequence of interactive digital games, worksheets, and other activities
that guide learners through different concepts and skills.
They keep track of your progress and help you study smarter, step by step.

Guided Lessons are digital games and exercises that keep track of your progress and help you study smarter, step by step.

Understanding how our ten number system works enables students to see interesting and useful patterns and relationships in these math activities. These patterns allow students to develop more efficient mental math strategies when multiplying by multiples of 10 or 100. Students will also review rounding and apply this skill to larger numbers - up to 100,000’s place.

Understanding how our ten number system works enables students to see interesting and useful patterns and relationships in these math activities.

This lesson includes printable activities:
Download All (5)

Exercise: Find the Factors of Prime and Composite Numbers

Exercise: Place Value and the Thousands Place

Exercise: Comparing Multi-Digit Numbers

Exercise: Place Value and Multiplicative Comparisons

Exercise: Multiply by Multiples of Ten

Exercise: Place Value Up to Hundred Thousands Place

Exercise: Place Value Up to Ten Thousands Place

Exercise: Place Value and Numbers in Expanded Form

Exercise: Rounding Multi-Digit Numbers to the Nearest 1,000

Exercise: Rounding Multi-Digit Numbers to the Nearest 10000

Exercise: Rounding Multi-Digit Numbers to the Nearest 100,000

Exercise: Comparing Decimal Numbers

Exercise: Ordering Decimal Numbers

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