Grade 5: Module 1 Lesson 4

Place Value Chart

1 M 100 TH

10 TH

1 TH

Hund Tens One

1/10 1/100

1/1000

Say the value as a decimal, write the number onYour personal boards, and multiply it by ten.

Place Value Chart

1 M 100 TH

10 TH

1 TH

Hund Tens One

1/10 1/100

3 2 4

1/1000

32.4 x 10 = 324

Place Value Chart

1 M 100 TH

10 TH

1 TH

Hund Tens One

1/10 1/100

1/1000

Say the value as a decimal, write the number onYour personal boards, and divide it by ten.

Place Value Chart

1 M 100 TH

10 TH

1 TH

Hund Tens One

1/10 1/100

3 2 4

1/1000

32.4 ÷ 10 = 3.24

32.4 x 100 =

32.4 ÷ 100 =

837 ÷ 1000 =

0.418 x 1000 =

Answers

32.4 x 100 = 3240

32.4 ÷ 100 = 0.324

837 ÷ 1000 =0.837

0.418 x 1000 = 418

Write the Unit as a Decimal

What is the correct mathematical way of saying 0.9?

What is the correct mathematical way of saying 10 tenths?

What is the correct mathematical way of saying 20 tenths?

Write the Unit as a Decimal

What is the correct mathematical way of saying 10 tenths?

What is the correct mathematical way of saying 70 tenths?

What is the correct mathematical way of saying .09?

Write the Unit as a Decimal

What is the correct mathematical way of saying .10?

What is the correct mathematical way of saying .11?

What is the correct mathematical way of saying .17?

Write the Unit as a Decimal

What is the correct mathematical way of saying .57?

What is the correct mathematical way of saying .42?

What is the correct mathematical way of saying .009?

Write the Unit as a Decimal

What is the correct mathematical way of saying .010?

What is the correct mathematical way of saying .020?

What is the correct mathematical way of saying .060?

Write the Unit as a Decimal

What is the correct mathematical way of saying .064?

What is the correct mathematical way of saying .083?

Write in Exponential Form

100 = 10? Write 100 in exponential form.1,000 = 10? Write 1000 in exponential form.10,000 = 10? Write 10,000 in exponential form.1,000,000 = 10? Write 1,000,000 in exponential

form.

Convert Units

Use Personal white boards

1 km = ___ m Fill in the missing number.1 kg = ____ g Fill in the missing number.1 liter = ____ ml Fill in the missing number.1 m = ____ cm Fill in the missing number.

Application

Mr. Brown wants to withdraw $1,000 from his bank and in ten dollar bills. How many ten dollar bills should he receive?

Concept Development

Draw a line 2 meters long.With your partner, determine how many centimeters equal 2 meters.

Concept Development

How is it that same line can measure both 2 meters and 200 centimeters?Discuss with a partner how we convert from 2 meters to 200 centimeters? Why didn’t the length change? Discuss that with your partner.

Concept Development

Draw a line 2 meters long.With your partner, determine how many millimeters equal 2 meters.

Concept Development

How is it that same line can measure both 2 meters and 2000 millimeters?Discuss with a partner how we convert from 2 meters to 2000 millimeters? Why didn’t the length change? Discuss that with your partner.

Concept Development

Can we represent the conversion from meters to centimeters or meters to millimeters with exponents? Discuss this with your partner.

Concept Development

Draw a line 1 meter 37 centimeters long.What fraction of a whole meter is 37 meters?

Concept Development

37 centimeters = 37 hundredths of a meter or 0.37 meters.Write 1 and 37 hundredths as a decimal fraction.

Concept Development

With you partner, determine how many centimeters is equal to 1.37 meters both by looking at your meter strip and line and writing an equation using an exponent.

What is the equivalent measure in centimeters?

Concept Development

1.37 meters = 137 centimetersShow the conversion using an equation with an exponent.

Concept Development

1.37 meters = 1.37 x 102 = 137 centimeters

What is the conversion factor?

Concept Development

The conversion factor is 102 or 100.

Concept Development

A cat weighs 4.5 kilograms. Convert its weight to grams.A dog weighs 6700 grams. Convert its weight to kilograms.Work with a partner to find the cat’s weight in grams and the dog’s weight in kilograms. Explain your reasoning with an equation using an exponent for each problem. What is the conversion factor for both problems?

Problem 4

• The baker uses 0.6 liter of vegetable oil to bake brownies. How many milliliters of vegetable oil did he use? He is asked to make 100 batches for a customer. How many liters of oil will he need?

Problem 4

After gym class, Mei Ling drank 764 milliliters of water. How many liters of water did she drink?

Problem Set

Do your personal best to complete the problem set within the next 10 minutes.

Student Debrief

Lesson Objective: Use exponents to denote power of 10 and with application to metric conversions.

Exit Ticket

Convert: a. 2 meters to centimeters

2m x ____ = ______cm

b. 40 milliliters to liters40 mi ÷ _____ = _____ l

Exit Ticket

Read each aloud as you write the equivalent measures.

a. 4.37 l = _______ l _________mlb. 81.62 kg = ________kg ________ g