Math 5 Converting Measurements in the Same System

1. Math 5Converting Measurements in the Same System Instructor: Mrs. Tew Turner

2. In this lesson we will learn how to convert measurement units in the same measurement system.

3. Round these numbers to the nearest thousand. 12, 685 13, 435 12, 921 Math Warm-up

4. Round these numbers to the nearest thousand. 12, 685 13,000 13, 435 13,000 12, 921 13,000 Math Warm-up - ANSWER

5. In this lesson we will answer the question: How do you convert units of measurement within the same system of measurement?

6. Vocabulary measurement- Finding a number that shows the size or amount of something. customary system – system of measurement used in the United States of America. It includes units, such as feet, inches, yards, Fahrenheit, gallons, pounds, etc.

7. Vocabulary metric system – system of measurement used by most countries, as well as scientists and engineers. It is based on the Base 10 number system. It includes units of measurement such as, meter, centimeter, liter, gram, kilogram, Celsius, etc.

8. Vocabulary conversion/convert– To change from one unit of measure to another. Examples: 1 yard = 36 inches 1 meter = 100 centimeters

9. Connecting to Previous Learning In Math 3 and Math 4, you learned about the different systems of measurement. Let’s review some of them now.

10. Connecting to Previous Learning Measurement units for length: Customary units inch (in), foot (ft), yard (yd), mile (mi) Metric units kilometer (km), meter (m), centimeter (cm)

11. Connecting to Previous Learning Measurement units for mass: Customary units ounce (oz), pound (lb) Metric units kilogram (kg), gram (g)

12. Connecting to Previous Learning Measurement units for volume/capacity: Customary units fluid ounces (fl oz), cup (c), pint (pt), quart (qt), gallon (gal) Metric units liter (L), milliliter (mL)

13. Connecting to Previous Learning Measurement units for time: hour (h), minute (min), second (s)

14. Conversions for length Customary units 12 inch (in) = 1 foot (ft) 36 in = 3 ft = 1 yard (yd) 5280 ft = 1760 yd = 1 mile (mi)

15. Conversions for length Metric units 1 kilometer (km) = 1000 meter (m) 1 m = 100 centimeter (cm) 1 cm = 10mm

16. Conversions for Mass Customary units 16 ounce (oz) = 1 pound (lb)

17. Conversions for Mass Metric units 1 kilogram (kg) = 1000 gram (g) 1000 milligram (mg) = 1 g

18. Conversions for Volume/Capacity Customary units 1 gallon = 4 quarts = 8 pints = 16 cups 1 qt = 2 pts = 4 cups 1 pt = 2 cups 1 c = 8 fl oz

19. Conversions for Volume/Capacity Metric units 1 liter (L) = 1000 milliliter (mL)

20. Conversions for Time 1 hour (h) = 60 minutes (min) = 1,200 seconds (s) 1 min = 60 sec

21. To change from larger units to smaller units, multiply. 10 ft = in. Think 1 foot = 12 inches 10 feet 12 in. 12 in. 12 in. 12 in. 12 in. 12 in. 12 in. 12 in. 12 in. 12 in. Find 10 x 12 10 x 12 = 120 10 feet = 120 inches 1 foot

22. To change from larger units to smaller units, multiply. 1.52m= cm Think 1 m = 100 cm Find 1.52 x 100. 1.52 x 100 = 152 1.52 m = 152 cm. Use mental math. Move the decimal point 2 places to the right.

23. To change from smaller units to larger units, divide. 10 ft = yd ft Think 3 feet = 1 yard 1 foot 1 1 1 1 1 1 1 1 1 1 1 yd 1 yd 1 yd Find 10 ÷ 3 10 ÷ 3= 3 r. 1 10 feet = 3 yd. 1 ft.

24. To change from smaller units to larger units, divide. 1,800 g = kg Find 1,800 ÷ 1000. 1,800 ÷ 1000= 1.8 1,800 g = 1.8 kg Think 1,000 g = 1 kg Use mental math. Write 1,800 as 1,800.0 and move the decimal point 3 places to the left.

25. Document Camera Get your notebook and pencil ready. Make sure you have the Lesson # and date on your page.

26. In your Math Notebook Independent Practice Convert each measurement 1. 9 ft = yd 2. 9 lb = oz 3. 12 fl oz = c fl oz.

27. In your Math Notebook Independent Practice Convert each measurement 4. 80 mm = cm 5. 0.06 g = mg 6. 5 L= mL

28. In your Math Notebook Independent Practice 7. The worlds longest known venomous snake is the king cobra, which measures about 18 feet. The world’s shortest known venomous snake is the dwarf adder, which measures about 8 inches. What is the difference in length?

29. In your Math Notebook Independent Practice 8. A drink pitcher holds 4.5 liters of lemonade. If there are 250 milliliters of lemonade in one serving, how many servings does the pitcher hold?

30. Lesson Review To change from larger units to smaller units, multiply. To change from smaller units to larger units, divide.

31. In your Math Notebook 1. 3 gal = qt 2. 62.9 m = km Quick Check 3. If you want to convert feet to miles, do you multiply or divide?

32. 4. Hector has a roll of wire. There are 36 yards of wire on the roll. Which expression can Hector use to find the number of inches of wire that are on the roll? (36 x 3) x 12 C. (36 x 3) ÷ 12 (36 ÷ 3) x 12 D. (36 ÷ 3) ÷ 12 Quick Check

33. In your Math Notebook 1. 3 gal = 12 qt 2. 62.9 m = 0.0629 km Quick Check - ANSWERS 3. If you want to convert feet to miles, do you multiply or divide? divide

34. 4. Hector has a roll of wire. There are 36 yards of wire on the roll. Which expression can Hector use to find the number of inches of wire that are on the roll? (36 x 3) x 12 C. (36 x 3) ÷ 12 (36 ÷ 3) x 12 D. (36 ÷ 3) ÷ 12 Quick Check - ANSWERS

35. Good Work with this lesson. Today you learned how to convert measurements.