7-1 6 th grade math

1. 7-16th grade math Customary Units of Measurement

2. Objective • To convert one unit of customary measurement to another. • Why? To know how to convert measurements used in the United States (mostly): units of weight, length, and capacity.

3. California State Standards AF 2.1: Convert from one unit of measurement to another (e.g., from feet to miles, …) MR 1.0: Make decisions about how to approach problems.

4. Vocabulary

5. Vocabulary .

6. Vocabulary .

7. Conversions in Customary Units

8. How to Solve Conversions 1) Decide the ‘magic number’ between the two units of measure. Write down the number between them 2) To change from a smallerunit to a larger unit, divide 3) To change from a largerunit to a smaller unit, multiply. 4) Check your work for reasonableness. a) 36 ft = ___ yd ft < yd; divide magic number = 3 36 ÷ 3 = 12 36 ft = _12_ yd b) 36 ft = ___ in ft > in; multiply magic number = 12 36 x 12 = 432 36 ft = _432_ in

9. How to Solve More Conversions You might have to divide or multiply fraction or use remainders…. c) 20 oz = ____ lbs d) 21 ½ qt = ____ pt c) 20 oz = ____ lbs oz < lbs; divide magic number = 16 20 ÷ 16 = 1.25 or 1 ¼ 20 oz = _1.25_ lbs d) 21 ½ qt = ____ pt qt > pt; multiply magic number = 2 21.5 x 2 = or 43 x 2 2 1 21 ½ qt = _43_ pt

10. How to Solve More Conversions You might have to do multiple steps to get the answers …. e) 9 yd, 2 ft = ____ in f) 1 ¼ T = ___ lb g) 21 qt = ___ gal e) 9 yd, 2 ft = ____ in (9 x 36) + (2 x 12) 324 + 24 = 348 9 yd, 2 ft = _348_ in f) 1 ¼ T = ___ lb (1.25 x 2000) = 2500 1 ¼ T = _2500_ lb g) 21 qt = ___ gal (21 ÷ 4) = 5 r ¼ 21 qt = _5.25_ gal or 5 ¼ gal

11. Try It! • 1 yd = ___ in, so 3 yd = __ in • 1 ft = ___ in, so ⅓ ft = __ in • 12 in = ___ ft, so 6 in = ___ ft • 1 lb = ___ oz, so ¼ lb = ___ oz 1) 1 yd = _36_ in, so 3 yd = _108_ in x 2) 1 ft = _12_ in, so ⅓ ft = _4_ in ÷ 3) 12 in = _1_ ft, so 6 in = _½_ ft ÷ • 1 lb = _16_ oz, so ¼ lb = _4_ oz ÷

12. Try Some More! 9) 9 qt = ___ gal ÷ 4 = 2.25 or 2 ¼ gal 10) 1 pt = ___ fl oz X 16 = 16 fl oz 12) 2 oz = ___ lb 16 ÷ 128 = 0.125 or ⅛ lb. • 12 oz = ___ lb • 1 gal = ___ pt • 5 c = ___ pt • 10 ½ lb = ___ oz • 9 qt = ___ gal • 1 pt = ___ fl oz 12) 2 oz = ___ lb • 12 oz = ___ lb ÷ 16 = 0.75 or ¾ lb 6) 1 gal = ___ pt X 8 = 8 pt 7) 5 c = ___ pt ÷ 2 = 2.5 or 2 ½ pt 8) 10 ½ lb = ___ oz X 16 = 168 oz

13. Objective Review • To convert one unit of customary measurement to another. • Why? You now know how to convert measurements used in the United States (mostly): units of weight, length, and capacity. • Remember to change a larger unit to a smaller unit, multiply • Remember to change a smaller unit to a larger unit, divide

14. Independent Practice • Complete problems 13-29 • Copy original problem first. • Show all work! • If time, complete Mixed Review: 32-40 • If still more time, work on Accelerated Math.