Math Lesson 1 Objective: Express metric length measurements in terms of a smaller unit and model and solve addition or subtraction word problems using metric length.
After this lesson you will be able to… Express Metric Length measurements in terms of a smaller unit. Model and solve an addition word problem involving metric length. Model and solve a subtraction word problem involving metric length.
Understanding the Metric System and Units of Length. There are three main units that we need to know for the metric system. Centimeter Meter Kilometer
Centimeter We use a ruler to measure in centimeters. This is used to measure small objects like the length of a staple or the length of a pencil.
Meter A meter is used to measure the length of medium distances. For instance the height of your desk, the length of a bookshelf, or the width of a door.
Kilometer Kilometers are used to measure long distances. For instance the distance between Tampa and Orlando or the distance around a soccer field 4 times.
Help me complete this… Distance km - kilometer m - meter 1 1,000 2 2,000 3 ? 7 70 1
What is the pattern? Distance km - kilometer m - meter 1 1,000 2 2,000 3 ? 7 70 1
There are 1,000 meters in each kilometer. Distance km - kilometer m - meter 1 1,000 2 2,000 3 ? 7 70 1
There are 1,000 meters in each kilometer. Distance km - kilometer m - meter 1 1,000 2 2,000 3 3,000 7 7,000 70 70,000 1
What if I needed to add metric units together? What could we do to figure out the following problem? 5 km + 2,500 m. Discuss with your table…
What if I needed to add metric units together? What could we do to figure out the following problem? 5 km + 2,500 m. We need to turn the 5 km into m.
What if I needed to add metric units together? 5 km + 2,500 m. 5 km = 5,000 m
What if I needed to add metric units together? 5 km + 2,500 m. 5 km = 5,000 m 5,000 + 2,500 = 7,500 meters. Let’s try another one.
What if I needed to add metric units together? 1 km 734 m + 4 km 396 m
What if I needed to add metric units together? 1 km 734 m + 4 km 396 m 5 km 1,130 m Treat it just like an addition problem. 1 1
What if I needed to add metric units together? 1 km 734 m + 4 km 396 m 5 km 1,130 m 6 km 130 m Treat it just like an addition problem. 1 1
Let’s try the same thing with subtraction. 10 km - 3 km 140 m
We need to borrow 1 km and turn it into 1,000 m. 9 10 km 1,000 m - 3 km 140 m
We need to borrow 1 km and turn it into 1,000 m. 9 10 km 1,000 m - 3 km 140 m Now solve it the way you would a normal subtraction problem.
We need to borrow 1 km and turn it into 1,000 m. 9 9 10 10 10 km 1,000 m - 3 km 140 m 6 km 860 m
We need to borrow 1 km and turn it into 1,000 m. 9 9 10 10 10 km 1,000 m - 3 km 140 m 6 km 860 m or 6,860 m
One last problem… Sam practiced his long jump in PE. On his first attempt, he jumped 1 meter 47 centimeters. On his second attempt, he jumped 98 centimeters. How much farther did Sam jump on his first attempt?
Let’s make a tape diagram!! Sam practiced his long jump in PE. On his first attempt, he jumped 1 meter 47 centimeters. On his second attempt, he jumped 98 centimeters. How much farther did Sam jump on his first attempt?
Tape Diagram 1 m 47 cm 98 cm ?
Tape Diagram 1 m 47 cm Hint: 1 meter = 100 cm. 98 cm ?
1 m 47 cm 98 cm Hint: 1 meter = 100 cm. Tape Diagram ? Change this to cm. 1 m 47 cm Hint: 1 meter = 100 cm. 98 cm ?
Tape Diagram Change this to cm. 147 cm Hint: 1 meter = 100 cm. 98 cm ?
Last Problem 147 m - 98 m
Last Problem 13 14 17 147 m - 98 m 49 m
Your Turn Practice on pages 1 and 2 in Math Practice Book. Remember: 1 km = 1,000 m and 1 m = 100 cm