Topic A
Multiplicative patterns on theplace value chart
STANDARD - 5.NBT.1, 5.NBT.2, 5.MD.1
Grade 5
Module 1 Lesson 4
Objective:
Use exponents to denote powers of
application to metric conversions.
10 with
MATERIALS NEEDED
FOR THIS LESSON
Student
Student Pages
Personal White Boards
meter strip
Problem Set
Exit Ticket
Homework
Teacher
Teacher Pages
Fluency Practice (12 minutes)
Multiply and Divide Decimals by 10, 100, 1000
5.NBT.2
5 minutes
3 disks in the tens column, 2 disks in the ones column, and 4
disks in the tenths column.
show: 32.4 divided by 10
32.4 x 100
32.4 100
show: 837 100
837 1000
0.418 1000
Write the Unit as a Decimal
5.NBT.1
9 tenths = ________
10 tenths = ________
2 minutes
20 tenths = _______
30 tenths = _______
70 tenths = _______
9 hundredths = _______
10 hundredths = _______
11 hundredths = _______
17 hundredths = _______
57 hundredths = _______
42 hundredths = _______
9 thousandths = _______
10 thousandths = _______
20 thousandths = _______
60 thousandths = _______
64 thousandths = _______
83 thousandths = _______
Write in Exponential Form
5.NBT.2
100 = 10?
1000 = 10?
1000 = 10?
10,000 = 10?
100,000 = 10?
3 minutes
Convert Units
2 minutes
4.MD.1
1 km = _______ m
1 kg = _______ g
1 liter = _______ ml
1 m = _______ cm
Application Problem (8 minutes)
Mr. Brown want to withdrawal $1,000 from his bank and in ten
dollar bills. How many ten dollar bills should he receive?
Concept Development (30 minutes)
Problem 1
Draw a line that is 2 meters long and concert it to centimeters
Draw a line 2 meters long
2 meters = ______ centimeters
2 meters = ______ millimeters
Can we represent the conversions
with exponents?
Problem 2
convert 1.37 meters to centimeters and millimeters
Draw a line: 1 meter and 37 centimeters
What fraction of a whole meter is 37 cm?
Write 1 and 37 hundredths as a decimal fraction.
How many cm is equal to 1.37 meters?
use your
meter stick and line and writing an equation using an
exponent?
1.37
What is the equivalent measure in
centimeters.
Show the conversion using an equation with an
exponent.
What is the conversion factor?
1.37
What is the equivalent measure in
millimeters.
Show the conversion using an equation with an
exponent.
What is the conversion factor?
2.6
What is the equivalent measure in
centimeters and
millimeters.
Show the conversion using an equation with an
exponent.
What is the conversion factor?
12.08
What is the equivalent measure in
centimeters and
millimeters.
Show the conversion using an equation with an
exponent.
What is the conversion factor?
Problem 3
A cat weighs 4.5 kilograms.
convert its weight to grams.
A dog weighs 6700 grams.
convert its weight to kilograms.
Explain your reasoning with an equation using an exponent
for both.
What is the conversion factor for both?
The red bird weighs 2.75 kg,
convert its weight to grams.
The yellow bird weighs 6007g,
convert its weight to kilograms.
Explain your reasoning with an equation using an exponent
for both.
What is the conversion factor for both?
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?
After gym class. Mei Ling drank 764 milliliters of
water. How many liters water did she drink?
1,045 ml = _____________ l
0.008 l = _____________ ml
Problem Set (10 minutes)
Do Your Personal Best
(Complete independently!)
Student Debrief (10 minutes)
Reflect on the kinds of thinking you did on task 1 and task 2. How
are they alike? How are they different?
How did you convert centimeters to meters?
What is the conversion factor?
How did you convert meters to centimeters?
What is the conversion factor?
In task 3, how did you convert from meters to
milliliters? What conversion factor did you use?
EXIT TICKET (3 minutes)
Complete the exit ticket and turn in...
HOMEWORK