1. Splash Screen

2. Five-Minute Check (over Lesson 6–4) Main Idea and Vocabulary
Example 1: Convert Units in the Metric System
Example 2: Convert Units in the Metric System
Example 3: Real-World Example
Key Concept: Customary and Metric Relationships
Example 4: Convert Between Measurement Systems
Example 5: Convert Between Measurement Systems
Example 6: Real-World Example
Lesson Menu

3. Change metric units of length, capacity, and mass.
Metric System: a decimal system of measures.
Meter: the base unit of length (m).
Liter: is the base unit of capacity (L).
Gram: measures mass (g).
Kilogram: The prefix for the base unit of mass (kg)
Main Idea/Vocabulary

4. Convert Units in the Metric System
Complete 7.2 m = ? mm.
To convert from meters to millimeters, use the relationship 1 m = 1,000 mm.
1 m = 1,000 mm Write the relationship.
7.2 ×1 m = 7.2 × 1,000 mm Multiply each side by 7.2.
7.2 m = 7,200 mm To multiply 7.2 × 1000, move the decimal point places to the right.
Answer: 7,200 mm
Example 1

5. Complete 7.5 m = ? cm.
A. 0.75
B. 75
C. 750
D. 7,500 A B C D
Example 1

6. Convert Units in the Metric System
Complete 40 cm = ? m.
To convert from centimeters to meters, use the relationship 1 cm = 0.01 m.
1 cm = 0.01 m Write the relationship.
40 × 1 cm = 40 × 0.01 m Multiply each side by 40.
40 cm = 0.40 m To multiply 40 × 0.01, move the decimal point places to the left.
Answer: m
Example 2

7. Complete 3,400 mm = ? m. A. 0.034 B. 0.34 C. 3.4 D. 340 A B C D
Example 2

8. 1 L = 1,000 mL Write the relationship.
FARMS A bucket holds 12.8 liters of water. Find the capacity of the bucket in milliliters.
To convert from liters to milliliters, use the relationship L = 1,000 mL.
1 L = 1,000 mL Write the relationship.
12.8 × 1 L = 12.8 × 1,000 mL Multiply each side by 12.8.
12.8 L = 12,800 mL To multiply 12.8 × 1000, move the decimal point places to the right.
Answer: 12,800 mL
Example 3

9. BOOKS A box of textbooks has a mass of 32,850 grams
BOOKS A box of textbooks has a mass of 32,850 grams. What is the mass of the box in kilograms?
A kg
B kg
C kg
D kg A B C D
Example 3

10. KC 1

11. Convert Between Measurement Systems
Convert 7.13 miles to kilometers. Round to the nearest hundredth if necessary.
Use the relationship 1 mile  1.61 kilometers.
1 mile  1.61 km Write the relationship.
7.13 × 1 mile  7.13 × 1.61 km Multiply each side by since you have miles.
7.13 miles  km Simplify.
Answer: So, 7.13 miles is approximately kilometers.
Example 4

12. Convert 8. 15 gallons to liters
Convert 8.15 gallons to liters. Round to the nearest hundredth if necessary. (1 gal  3.79 L)
A L
B L
C. 215 L
D L A B C D
Example 4

13. Convert Between Measurement Systems
Convert grams to pounds. Round to the nearest hundredth if necessary.
Since 1 pound  grams, multiply by
Multiply by
Simplify.
Answer: So, grams is approximately 2.04 lb.
Example 5

14. Convert 5. 75 meters to yards
Convert 5.75 meters to yards. Round to the nearest hundredth if necessary. (1 yd = 0.91 m)
A yd
B yd
C yd
D yd A B C D
Example 5

15. 1 ft  030 m Write the relationship.
FARMS Pike’s Peak near Colorado Springs, Colorado rises to a height that is 14,110 feet above sea level. About how many meters high is Pike’s Peak?
Since the height above sea level is 14,110 feet, use the relationship 1 ft  0.30 m.
1 ft  030 m Write the relationship.
14,110 × 1 ft  14,110 × 0.30 m Multiply each side by ,110 since you have ,110 ft.
14,110 ft  4,233 m Simplify.
Answer: So, Pike’s Peak is about 4,233 meters high.
Example 6

16. ANIMALS A grazing hippopotamus may eat up to 150 pounds of grass per night. About how many kilograms do they eat? (1 lb  kg)
A kg
B kg
C kg
D kg A B C D
Example 6

17. End of the Lesson
End of the Lesson

18. Five-Minute Check (over Lesson 6–4) Image Bank Math Tools
Scale Drawings
Using Proportions
Resources

19. If 1,760 yards = 1 mile, then 4 miles = yards.
(over Lesson 6-4)
Complete 21 ft = __ yd.
Complete 160 oz = __ lb.
Complete = __ ft.
Complete 2 c = __ fluid oz.
Stella lives 2 miles from school. How many feet from the school does Stella live? A B C D
If 1,760 yards = 1 mile, then 4 miles = yards.
Five Minute Check 1

20. Complete 21 ft = __ yd. A. 3 B. 7 C. 15 D. 63 (over Lesson 6-4) A B C
Five Minute Check 1

21. Complete 160 oz = __ lb. A. 10 B. 20 C. 40 D. 80 (over Lesson 6-4) A B
Five Minute Check 2

22. (over Lesson 6-4)
Complete = __ ft.
A. 3,960
B. 5,280
C. 6,600
D. 9,240 A B C D
Five Minute Check 3

23. Complete 2 c = __ fluid oz. A. 32 B. 16 C. 8 D. 4 (over Lesson 6-4) A
Five Minute Check 4

24. (over Lesson 6-4)
Stella lives 2 miles from school. How many feet from the school does Stella live?
A. 10,560 feet
B. 5,280 feet
C. 3,520 feet
D. 1,760 feet A B C D
Five Minute Check 5

25. If 1,760 yards = 1 mile, then 4 miles = yards.
(over Lesson 6-4)
If 1,760 yards = 1 mile, then 4 miles = yards. A.
B. 4
C. 440
D. 7,040 A B C D
Five Minute Check 6

26. End of Custom Shows