Transcript Math-Module-1-Lesson-4

Module 1 Lesson 4
Common Core
Standards
•
5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it
represents in the place to its left.
•
5.NBT.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the
decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
5.MD.1 Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions
in solving multi-step, real world problems.
Learning Targets
• I can use exponents to name powers of
ten for metric conversion
Activate
Knowledge
Write the number & word name
Activate
Knowledge
Multiply by ten on your mats
3
2
4
Activate
Knowledge
Divide by ten on your mats
3
2
4
Activate
Knowledge
Multiply by hundred on your mats
3
2
4
Activate
Knowledge
Divide by hundred on your mats
3
2
4
Activate
Knowledge
Show answer using mats then write
number sentence
837 ÷ 1000
Activate
Knowledge
Write in standard form
9 tenths
Activate
Knowledge
Write in standard form. Use your mats if needed.
10 tenths
Activate
Knowledge
Write in standard form. Use your mats if needed.
20 tenths
Activate
Knowledge
Write in standard form. Use your mats if needed.
30 tenths
Activate
Knowledge
Write in standard form. Use your mats if needed.
70 tenths
Activate
Knowledge
Write in standard form. Use your mats if needed.
9 hundredths
Activate
Knowledge
Write in standard form. Use your mats if needed.
10 hundredths
Activate
Knowledge
Write in standard form. Use your mats if needed.
11 hundredths
Activate
Knowledge
Write in standard form. Use your mats if needed.
17 hundredths
Activate
Knowledge
Write in standard form. Use your mats if needed.
57 hundredths
Activate
Knowledge
Write in standard form. Use your mats if needed.
42 hundredths
Activate
Knowledge
Write in standard form. Use your mats if needed.
9 thousandths
Activate
Knowledge
Write in standard form. Use your mats if needed.
10 thousandths
Activate
Knowledge
Write in standard form. Use your mats if needed.
20 thousandths
Activate
Knowledge
Write in standard form. Use your mats if needed.
60 thousandths
Activate
Knowledge
Write in standard form. Use your mats if needed.
64 thousandths
Activate
Knowledge
Write in standard form. Use your mats if needed.
83 thousandths
Activate
Knowledge
Write in exponential form
100 = 10?
Activate
Knowledge
Write in exponential form
1000 = 10?
Activate
Knowledge
Write in exponential form
10,000 = 10?
Activate
Knowledge
Write in exponential form
1,000,000 = 10?
Activate
Knowledge
Fill in the missing number
1 km = _____ m
Activate
Knowledge
Fill in the missing number
1 kg = _____ g
Activate
Knowledge
Fill in the missing number
1 liter = _____ ml
Activate
Knowledge
Fill in the missing number
1 m = _____ cm
Activate
Knowledge
Fill in the missing number
1 m = _____ mm
Activate
Knowledge
Mr. Brown wants to withdraw $1,000 from
his bank and in ten dollar bills. How many
ten dollar bills should he receive?
Activate
Knowledge
Mr. Brown wants to withdraw $1,000 from
his bank and in ten dollar bills. How many
ten dollar bills should he receive?
Teamwork
With your partner, draw a 2 meter line
Teamwork
How many centimeters are there in 2 meters?
Teamwork
How can the same line be 2 meters &
200 centimeters?
Teamwork
Discuss with your partner how you can convert
2 meters to 200 centimeters.
Teamwork
Can you represent the conversion from
meters to centimeters using exponents?
Teamwork
How many millimeters are there in 2 meters?
Teamwork
How can the same line be 2 meters &
2000 millimeters?
Teamwork
Discuss with your partner how you can convert
2 meters to 2000 millimeters.
Teamwork
Can you represent the conversion from
meters to millimeters using exponents?
Teamwork
Look at your line again.
How many meters in 200 centimeters
Teamwork
Discuss with your partner how can we convert
200 centimeters to 2 meters?
Teamwork
Can you represent the conversion from
centimeters to meters using exponents?
Teamwork
Look at your line again.
How many meters in 2000 millimeters
Teamwork
Can you represent the conversion from
millimeters to meters using exponents?
Teamwork
Discuss with your partner how can we convert
2000 millimeters to 2 meters?
Teamwork
Draw a line that is 1 meter 37 centimeters long
Teamwork
What fraction of a whole meter is 37 centimeters?
Teamwork
Write 1 and 37 hundredths as a decimal
Teamwork
With your 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.
Teamwork
Show the conversion using from 1.37 meters to 137
centimeters with an equation using an exponent.
1.37 × _____ = 137
Teamwork
The conversion factor between meters
and centimeters is:
100 or 102
Teamwork
With your partner, determine how many millimeters is
equal to 1.37 meters both by looking at your meter
strip and line and writing an equation using an
exponent.
Teamwork
Show the conversion using from 1.37 meters to 1370
millimeters with an equation using an exponent.
1.37 × _____ = 1370
Teamwork
The conversion factor between meters
and millimeters is:
1000 or 103
Teamwork
A cat weighs 4.5 kilograms
Work with your partner to find the weight in grams.
Show your work using an equation with exponents.
Teamwork
A dog weighs 6700 grams
Work with your partner to find the weight in kilograms.
Show your work using an equation with exponents.
Teamwork
What was the conversion factor for weight of
both the dog and the cat?
Teamwork
Convert 2.75 kg to g.
Show your work with an equation with
an exponent
Teamwork
Convert 6007 grams to kg.
Show your work with an equation with
an exponent
Teamwork
Let’s relate our meter to millimeter measurements to
our kilogram to gram conversions.
✔
Check
Understanding
he baker uses 0.6 liter of vegetable oil to bake brownies
How many milliliters did he use?
✔
Check
Understanding
he baker uses 0.6 liter of vegetable oil to bake brownies
He is asked to make 100 batches for a customer
How many liters of oil will he use?
✔
Check
Understanding
What similarities have you noticed with the
measurement conversions thus far.
✔
Check
Understanding
After gym class Mei Ling drank 764 milliliters of water.
How many liters did she drink?
✔
Check
Understanding
Convert 1,045 ml to liters
✔
Check
Understanding
Convert 0.008 liters to ml
Practice
Convert using an equation with an exponent.
3 meters to centimeters
__________________ = ______ cm
Practice
Convert using an equation with an exponent.
900 centimeters to meters
__________________ = ______ m
Practice
Convert using an equation with an exponent.
8.1 liters to milliliters
__________________ = ______ ml
Practice
Convert using an equation with an exponent.
537 milliliters to liters
__________________ = ______ l
Practice
Convert using an equation with an exponent.
90.5 kilometers to meters
__________________ = ______ m
Practice
Convert using an equation with an exponent.
23 meters to kilometers
__________________ = ______ km
Practice
Convert using an equation with an exponent.
0.4 kilograms to grams
__________________ = ______ g
Practice
Convert using an equation with an exponent.
80 grams to kilograms
__________________ = ______ kg
Practice
3.5 km = _____ km _____ m
Practice
1.23 l = _____ l _____ ml
Practice
2.002 kg = _____ kg _____ g
Practice
3 ml = ________ l
Practice
3012 g = ________ kg
Practice
_______ m = 2.10 cm
Practice
The length of the bar for a high jump
competition must always be 4.75 m. Express
this measurement in millimeters. Explain
your thinking using an equation that includes
an exponent.
Practice
A honey bee’s length measures 1 cm.
Express this measurement in meters.
Explain your thinking using a place value
chart.
Practice
A honey bee’s length measures 1 cm.
Express this measurement in meters.
Explain your thinking using an equation that
includes an exponent.
Practice
James drinks 800 ml of water each day during his
workout. Henry drinks 600 ml daily during his
workout. If James works out 3 days each week, and
Henry works out 5 days each week, how many liters
do the boys drink in all each week while working
out?
Practice
Katrina needs to tie ribbons around 10 flower
arrangements for a party. Each arrangement requires 1.2
m of ribbon. She also needs 325 cm of ribbon to tie to the
balloons for the party. If Katrina buys 15 m of ribbon, will
she have enough? If so, how much ribbon (in meters) will
she have left? If not, how many more meters of ribbon will
she need to buy?
Exit
Ticket
Convert 2 meters to centimeters
2 m × _____ = ______ cm
Exit
Ticket
Convert 40 milliliters to liters
40 ml ÷ _____ = ______ l
Exit
Ticket
4.37 l = _____ l ______ ml
Exit
Ticket
81.62 kg = _____ kg ______ g
Review