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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. - PowerPoint PPT Presentation
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Module 1 Lesson 4
• 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.
Common CoreStandards
Learning Targets
•I can use exponents to name powers of ten for metric conversion
Activate Knowledge
Write the number & word name
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Multiply by ten on your mats
3 2 4
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Divide by ten on your mats
3 2 4
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Multiply by hundred on your mats
3 2 4
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Divide by hundred on your mats
3 2 4
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Show answer using mats then write number sentence
837 ÷ 1000
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Write in standard form
9 tenths
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Write in standard form. Use your mats if needed.
10 tenths
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20 tenths
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30 tenths
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70 tenths
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9 hundredths
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Write in standard form. Use your mats if needed.
10 hundredths
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Write in standard form. Use your mats if needed.
11 hundredths
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17 hundredths
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57 hundredths
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42 hundredths
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Write in standard form. Use your mats if needed.
9 thousandths
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Write in standard form. Use your mats if needed.
10 thousandths
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Write in standard form. Use your mats if needed.
20 thousandths
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Write in standard form. Use your mats if needed.
60 thousandths
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Write in standard form. Use your mats if needed.
64 thousandths
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Write in standard form. Use your mats if needed.
83 thousandths
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Write in exponential form
100 = 10?
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Write in exponential form
1000 = 10?
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Write in exponential form
10,000 = 10?
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Write in exponential form
1,000,000 = 10?
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Fill in the missing number
1 km = _____ m
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Fill in the missing number
1 kg = _____ g
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Fill in the missing number
1 liter = _____ ml
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Fill in the missing number
1 m = _____ cm
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Fill in the missing number
1 m = _____ mm
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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?
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 frommeters 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 frommeters 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 fromcentimeters to meters using exponents?
Teamwork
Look at your line again.
How many meters in 2000 millimeters
Teamwork
Can you represent the conversion frommillimeters 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
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 metersand centimeters is:
100 or 102
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
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 metersand 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 ofboth 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
The baker uses 0.6 liter of vegetable oil to bake brownies.
How many milliliters did he use?
✔Check Understanding
The 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?
ExitTicket
2 m × _____ = ______ cm
Convert 2 meters to centimeters
ExitTicket
40 ml ÷ _____ = ______ l
Convert 40 milliliters to liters
ExitTicket
4.37 l = _____ l ______ ml
ExitTicket
81.62 kg = _____ kg ______ g
Review