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Measurement in Different Units
Lesson 2.4:
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Perimeter and Area• What’s the length of the longest side? • What’s the length of the opposite side?• What’s the sum of the rectangle’s two
longest lengths? • What’s the length of the shortest side? • What’s the length of the missing side?
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Perimeter and Area• What’s the sum of the rectangle’s two
shortest lengths?• How many square units are in one row?• How many rows of 5 square units are
there?• Let’s find how many square units there are
in the rectangle, counting by fives.• How many square units in all?
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Perimeter and Area• What’s the length of the long side? • What’s the sum of the rectangle’s two
longest lengths? • What’s the length of the short side? • What’s the sum of the rectangle’s two
shortest lengths?
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Perimeter and Area• How many square units are in one row?• How many rows of 6 square units are
there?• Let’s find how many square units there are
in the rectangle, counting by fours.• How many square units in all?
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Application Problem• Adam poured 1 liter 460 milliliters of water
into a beaker. Over three days, some of the water evaporated. On day four, 979 milliliters of water remained in the beaker. How much water evaporated?
• Talk to your partner about how the best way to solve this problem.
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Application Problem• Solution
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Application Problem• Solution
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Guided Instruction Concept Development
Problem 1
• Turn and tell your neighbor the units for mass, length, and capacity that we have learned so far.
• Gram, kilogram, centimeter, meter, kilometer, milliliter, liter.
• What relationship have you discovered between milliliters and liters?
• 1 liter is 1,000 milliliters. • 1 liter is 1,000 times as much as 1 milliliter.
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• 1 L = 1,000 × 1 mL• What do you notice about the relationship
between grams and kilograms? • 1 kilogram is 1,000 times as much 1 gram. 1 kg =
1,000 × 1 g • Meters and kilometers? Write your answer as an
equation. • 1 kilometer is 1,000 times as much as 1 meter. 1
km = 1,000 × 1 m
Guided Instruction Concept Development
Problem 1
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• I wonder if other units have similar relationships. What other units have we discussed in fourth grade so far?
• Ones, tens, hundreds, thousands, ten thousands, hundred thousands
Guided Instruction Concept Development
Problem 1
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• What do you notice about the units of place value? Are the relationships similar to those of metric units?
• One kilogram is 1,000 times as much as 1 gram like 1 thousand is 1,000 times as much 1 one.
• 1 hundred thousand is 1,000 times as much as 1 hundred.
• 1 ten thousand is 1,000 times as much as 1 ten.
Guided Instruction Concept Development
Problem 1
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• What unit is 100 times as much as 1 centimeter? Write your answer as an equation.
• 1 meter = 100 × 1 centimeter. • Can you think of a place value unit relationship that
is similar? • 1 hundred is 100 times as much as 1 one. • 1 hundred thousand is 100 times as much as 1
thousand. • 1 ten thousand is 100 times as much as 1 hundred.
Guided Instruction Concept Development
Problem 1
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• 1 m = 100 cm• One meter is 100 centimeters. What unit is 100
ones?• I notice 1 kilogram is 1,000 grams and 1 liter is
1,000 milliliters. Did you discover two place value units with a similar relationship?
• 1 thousand = 1,000 ones
Guided Instruction Concept Development
Problem 2
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• You renamed 1,200 milliliters as 1 liter 200 milliliters. How could you break 1,200 into place value units?
• 1,200 is 1 thousand 200 ones
Guided Instruction Concept Development
Problem 2
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• How are the following related?• 895 cm and 895 ones• 15,450 milliliters, 15,450 kilograms,
and 15,450 ones,
Guided Instruction Concept Development
Problem 2
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• 724,706 mL __ 72 L 760 mL• Which is more? Tell your partner how you can use
place value knowledge to compare.
Guided Instruction Concept Development
Problem 3
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• 724,706 milliliters is 724 liters, and 724 is greater than 72.
• 72 liters is 72,000 milliliters• 724 thousand is greater than 72 thousand
Guided Instruction Concept Development
Problem 3
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• Draw a number line from 0 kilometer to 2 kilometers. One kilometer is how many meters?
• 1,000 meters
• 2 kilometers is equal to how many meters? • 2,000 meters
Guided Instruction Concept Development
Problem 3
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• Discuss with your partner how many centimeters are equal to 1 kilometer.
• 1 meter is 100 centimeters• 1 kilometer is 1 thousand meters• 1 thousand times 1 hundred is 100
thousand • 2 meters is 200 centimeters so 10 meters
is 1,000 centimeters
Guided Instruction Concept Development
Problem 3
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• 7,256 m, 7 km 246 m, and 725,900 cm• Work with your partner to place these measures
on the number line.
• We know that 100 centimeters equals 1 meter. • In the number 725,900, there are 7,259
hundreds. That means that 725,900 cm = 7,259 m.
Guided Instruction Concept Development
Problem 3
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• 7,256 m is between 7,250 m and 7,260 m. • Since all measures have 7 kilometers, I can
compare meters. 256 is more than 246. 259 is more than 256.
• 7 km 246 m is less than 7,256 m which is less than 725,900 cm.
• Order the measures from smallest to greatest.
Guided Instruction Concept Development
Problem 3