Title: Distance
1Distance
Time
Equivalencies
Conversions
Equivalencies
Conversions
Songs
Mixed Units
Songs
Mixed Units
- Mixed Units
- Mixed Units
Capacity
Weight
Equivalencies
Conversions
Equivalencies
Conversions
Songs
Mixed Units
Songs
Mixed Units
- Mixed Units
- Mixed Units
2Time
360 seconds 1 minute 60 minutes 1 hour 24
hours 1 day 7 days 1 week About 4 weeks 1
month 12 months 1 year About 365 days 1 year
4Time Conversions To the tune of Glory, Glory,
Halleluiah 60 seconds equals one minute 60
minutes equals one hour 24 hours equals one day 7
days makes one whole week.
5Time To the tune of Glory, Glory, Halleluiah 4
weekss about one month 12 months equals one
year 365 days is one year And so is 52
weeks. Ashley, Amber, Amanda 2003/2004
6If converting to a smaller unit, you will have
more of them so multiply by the conversion rate.
If converting to a larger unit, you will have
less of them so divide by the conversion rate.
7Think larger to smaller - multiply!
4 hours _____ minutes
240
x 60
8Think smaller to larger - divide!
48 hours _____ days
2
24
9Think larger to smaller - multiply!
9 minutes _____ seconds
540
x 60
10Think smaller to larger - divide!
60 months _____ years
5
12
11If mixed units, add after multiplying.
390
6 hours, 30 min. _____ min.
X 60 30 extra min.
12Sometimes there is a remainder. It can be
treated two ways.
1 1/2
90 minutes _____ hours
1 30
90 minutes ____ hrs.____min.
13Divide. Treat the remainder as a fraction,
decimal, or a remainder.
3
3
24 days _______ weeks
7
3 3
24 days ____weeks ___ days
14Divide. Treat the remainder as a fraction,
decimal, or a remainder.
1
2
30 months ______ years
2
2 6
30 months __ years ___months
1528
4 weeks ___ days
24 minutes ___ seconds
1440
3
180 seconds ___ minutes
1 1/2
18 months _____ years
4
240 seconds ___ minutes
14,400
240 minutes _____ seconds
20
240 months ___ years
60
5 years ___ months
16 1 1/2
90 minutes ___ hours
500
8 minutes, 20 seconds ___ seconds
38
3 years, 2 months ____ months
1/4
3 months _____ years
3 months about ____ weeks
12
150
2 ½ hours _____ minutes
15
180 months _____ years
600
10 minutes _____ seconds
17 1 30
90 minutes __ hours ___minutes
2 minutes ___ seconds
120
5 years ____ months
60
2 2
26 months __ years __ months
5 4
64 months __years ___ months
5 1/3
64 months ________ years
15 6
186 months __ years___ months
1 10
70 minutes ___hours __ min.
18 1 40
100 minutes __ hours ___minutes
68 minutes __ hours ___ minutes
1 8
15 months __ years ___ months
1 3
1 4
16 months __ years __ months
2 10
34 months __years ___ months
4 1/2
54 months ________ years
1 6
18 months __ years___ months
1 25
85 minutes ___hours __ min.
19Sometimes we need to convert twice.
2 days _____ minutes
2880
x 24 hours per day
x 60 minutes per hour
2032,400
9 hours _____ seconds
3600 seconds ___ hours
1
3 decades ____ months
360
9
1080 months _____ decades
21- Self Check
- 72 months _______ years
- 30 min. _______ seconds
- 150 min ____ hours _____ min.
- 4 decades ____ months
- 150 min. ______ hours
- 2 days ______ hours
6 1800 2 30 480 2 ½ 48
22How is adding mixed customary units like adding
mixed fractions?
The smaller unit or units can not be improper
with company. Ex. 90 minutes is okay however,
1 hour and 90 minutes is not okay. It equals 2
hours and 30 minutes.
2312 years 10 months 2 years 10 months
20 months 1 years 8 months
Becomes
15 years 8 months
2410 hours 50 minutes 2 hours 20 minutes
70 minutes 1 hour 10 minutes
Becomes
13 hours 10 minutes
25 1 day 15 hours 34 minutes 2 days 10
hours 50 minutes
84 minutes
1 hour 24 minutes
Becomes
26 hours 1 day 2
hours
Becomes
4 days 2 hours 24 minutes
2610 hours 45 minutes 34 seconds 2 hours 17
minutes 10 seconds
44 seconds
62 minutes 1 hour 2
minutes
Becomes
13 hours 2 minutes 44 seconds
2712 hours 42 minutes 54 seconds 2 hours 17
minutes 10 seconds
64 seconds
1 minute 4 seconds
60 minutes 1 hour
15 hours 4 seconds
28How is subtracting mixed customary units like
subtracting mixed fractions?
If the top is smaller than the bottom, we have to
borrow and rename. Ex. 20 minutes minus 30
minutes means we have to borrow an hour that
equals an extra 60 minutes.
29 9 hours 90 minutes
10 hours 30 minutes - 5 hours 45 minutes
4 hours 45 minutes
3023 hours 60 minutes
2 days 24 hours
3 days - 1 day 10 hours 39 minutes
1 day 13 hours 21 minutes
3114 years 14 months
15 years 2 months - 5 years 5 months
9 years 9 months
3289 minutes 60 seconds
9 hours 90 minutes
10 hours 30 minutes - 5 hours 45 minutes 15
seconds
4 hours 44 minutes 45 seconds
33 12 years 15 months
2 decades 13 years
3 decades 3 years 3 months - 1 decade
8 years 10 months
1 decade 4 years 5 months
34Distance
35Common Equivalencies
12 inches 1 foot 3 feet 1 yard 36 inches
1 yard 5,280 feet 1 mile 1,760 yards 1
mile need to know
36Distance / Weight To the tune of Hush Little
Baby 16 oz is one pound 2000 pounds is one
ton 12 little inches equals one foot 3 feet
equals a yard (REPEAT) Elise Mackert 2003/2004
37Remember If converting to a smaller unit, you
will have more of them so multiply by the
conversion rate.
If converting to a larger unit, you will have
less of them so divide by the conversion rate.
38Larger to smaller multiply.
Smaller to larger - divide.
39Think smaller to larger - divide!
48 inches _____ feet
4
12
40Think larger to smaller - multiply!
3 feet _____ inches
36
x 12
41Think larger to smaller - multiply!
3 yards _____ inches
108
(x 3 feet per yard x 12 inches per foot) or x 36
42Think smaller to larger - divide!
48 feet _____ yards
16
3
43Sometimes we need to convert twice.
72 inches _____ yards
2
12 inches in a foot then
3 feet in a yard
44324
9 yards _____ inches
10
360 inches ___ yards
108
3 yards ____ inches
30
1080 inches _____ yards
4551
4 feet, 3 inches ____ inches
24 inches _____ yards
2/3
180 feet ___ yards
60
1 1/2
18 inches _____ feet
240 inches ___ feet
20
24 feet _____ inches
288
24 yards ___ feet
72
5 feet ___ yards ___ feet
1 2
462 miles ____ feet
10,560
15 feet _____ yards
5
180 inches ___ yards
5
1/2
18 inches _____ yards
240 feet ___ yards
80
24 feet _____ yards
8
24 yards ____ feet
72
5 feet _____ inches
60
47How is adding mixed customary units like adding
mixed fractions?
The smaller unit or units can not be improper
with company. Ex. 90 minutes is okay however,
1 hour and 90 minutes is not okay. It equals 2
hours and 30 minutes.
485 feet ___ yard(s) ___ feet
1 2
15 inches ___ foot ___ inches
1 3
18 inches ___ foot ___ inches
1 6
1 11
23 inches ___ foot ___ inches
1 1
4 feet ___ yard ___ foot
13 inches ___ foot ___ inches
1 1
16 inches ___ foot ___ inches
1 4
20 inches ___ foot ___ inches
1 8
4910 feet 11 inches 5 feet 5 inches
16 inches 1 foot 4 inches
Becomes
16 feet 4 inches
Since there is no mention of yards you may leave
it 16 feet 4 inches or change to 5 yards 1 foot 4
inches
50 2 yards 2 feet 9 inches 2 yards 2 feet
5 inches
14 inches
1 foot 2 inches
Becomes
5 feet 1 yard 2 feet
Becomes
5 yards 2 feet 2 inches
5110 yards 1 foot 11 inches 2 yards 1 foot
4 inches
15 inches
1 foot
3 inches
becomes
3 feet 1 yard
becomes
13 yards 3 inches
5212 yards 1 foot 10 inches 2 yards
10 inches
20 inches
1 foot 8 inches
2 feet
14 yards 2 feet 8 inches
53How is subtracting mixed customary units like
subtracting mixed fractions?
If the top is smaller than the bottom, we have to
borrow and rename. Ex. 20 minutes minus 30
minutes means we have to borrow an hour that
equals an extra 60 minutes.
54 2 feet 12 inches
4 yards 3 feet
5 yards - 1 yard 2 feet 10 inches
3 yards 2 inches
5514 yards 4 feet
15 yards 1 foot - 5 yards 2 feet
9 yards 2 feet
56 4 feet 12 inches
5 feet - 2 feet 2 inches
2 feet 10 inches
573 feet 12 inches
9 yards 4 feet
10 yards 1 foot - 2 yards 2 feet 5 inches
7 yards 1 foot 7 inches
584 feet 15 inches
2 yards 5 feet 3 inches
3 yards 2 feet 3 inches - 1 yards 2 feet
10 inches
1 yards 2 feet 5 inches
59 9 feet 20 inches
10 feet 8 inches - 7 feet 10 inches
2 feet 10 inches
60Capacity or Volume
61Volume or capacity is the amount of space
something occupies if solid or the amount it will
hold if hollow.
62Common Equivalencies
8 fl. oz. 1 cup 2 cups 1 pint 2 pts.
1 quart 4 qts. 1 gallon
63Capacity - Liquid To the tune of La Cucaracha 8
fl. oz. equals one cup 2 cups equals a pint 2
pints equals one quart 4 quarts equals a
gallon Essence Humphrey 2003/2004
64Larger to smaller multiply.
Smaller to larger - divide.
65Think smaller to larger - divide!
48 fl. oz. _____ cups
6
8
66Think larger to smaller - multiply!
3 g. _____ qts.
12
x 4
67Think larger to smaller - multiply!
3 qts. _____ pts.
6
x 2
68Think smaller to larger - divide!
48 cups _____ pts.
24
2
694 cups __ fl oz.
32
24 fl oz. __ cups
3
5 cups ____ pts.
2 1/2
2 1
5 cups ___ pts. ___ cup
10 qt. _____ gal.
2 1/2
10 qt. ___ gal. ___ qt.
2 2
4 gal. ___ qt.
16
21 pt. ___ qt. __ pt.
10 1
7036 fl oz. ______ cups
4 1/2
36 fl oz. ______ cups ___ fl oz.
4 4
3 cups ____ pts.
1 1/2
1 1
3 cups ___ pts. ___ cup
15 qt. _____ gal.
3 3/4
15 qt. ___ gal. ___ qt.
3 3
7 cups ___ fl oz.
56
21 pt. _____ qt.
10.5
71Sometimes we need to convert more than once.
128 fl. oz. _____ qt.
4
8 fl. oz. in a cup then
2 cups per pt. then
2 pts. per qt.
7248
3 pts _____ fl oz.
22.5
360 fl oz. ___ pts.
24
3 gal. ____ pts.
13 1/2
108 pt. _____ gal.
73Remember Like adding and subtracting mixed
fractions, when adding mixed customary units
watch for improper units mixed with larger units
and fix. Also, when subtracting, you may need to
change to improper to make the first one large
enough to subtract the second one.
74 3 gal. 1 qt. 1 pt. 1 gal. 3qt. 1 pt.
2 pt.
becomes
1 qt.
5 qt.
becomes
1 gal. 1 qt.
5 gal. 1 qt.
75 1 pt. 1 cup 6 fl oz. 1 pt. 1 cup 6 fl oz.
12 fl oz.
becomes
1 cup 4 fl oz.
3 cups
becomes
1 pt. 1 cup
3 pts. 1 cup 4 fl oz. or
1 qt. 1 pt. 1 cup 4 fl oz.
76 1 qt. 1 pt. 1 cup 1 qt. 1 pt. 1 cup
2 cups
becomes
1 pt.
3 pt.
becomes
1 qt. 1 pt.
3 qts. 1 pt
77 1 gal. 3 qts. 1 pt. 3 gal. 2 qts. 1 pt.
2 pts.
becomes
1 qt.
6 qts.
becomes
1 gal 2 qts.
5 gal. 2 qts
78 3 qts. 2 pt.
4 gal. 4 qts.
5 gal. - 1 gal. 2 qts. 1 pt.
3 gal. 1 qt. 1 pt.
7914 gal. 5 qt.
15 gal. 1 qt. - 6 gal. 2 qt.
8 gal. 3 qt.
80 4 qt. 2 pts.
5 qt. - 2 qt. 1 pt.
2 qt. 1 pt.
812 cups 11 fl oz.
2 pts. 3 cups
3 pts. 1 cups 3 fl oz. - 2 pts.
1 cup s 5 fl oz.
1 cup 6 fl oz.
822 pts. 2 cups
2 qts. 3 pts.
3 qts. 1 pt. - 1 qts. 1 pt.
1cup
1 qt. 1 pt. 1 cup
83 1 pt. 1 cup 10 fl oz.
1 pt. 2 cups 2 fl oz.
2 pt. 2 fl oz.
1 qt. 2 fl oz. -
1 pt. 1 cup 6 fl oz.
4 fl oz.
84Weight
8516 oz. 1 pound (lb.) 2,000 pounds 1 ton
86Distance / Weight To the tune of Hush Little
Baby 16 oz is one pound 2000 pounds is one
ton 12 little inches equals one foot 3 feet
equals a yard (REPEAT) Elise Mackert 2003/2004
87Remember If converting to a smaller unit, you
will have more of them so multiply by the
conversion rate.
If converting to a larger unit, you will have
less of them so divide by the conversion rate.
88Think smaller to larger - divide!
48 oz. _____ pounds
3
16
89Think larger to smaller - multiply!
5 pounds _____ oz.
80
x 16
90Think larger to smaller - multiply!
10 pounds _____ ozs.
160
x 16
91Think smaller to larger - divide!
120 oz. _____ pounds
7 1/2
16
924 tons _____ pounds
8000
24 oz. _____ pounds
1 1/2
18 oz. ___ pounds ___ oz.
1 2
60 oz. _____ pounds ___ oz.
3 12
4000 pounds ___ tons
2
8 tons ______ pounds
16,000
1.5
3,000 pounds _____ tons
5 pounds _____ oz.
80
93Remember Like adding and subtracting mixed
fractions, when adding mixed customary units
watch for improper units mixed with larger units
and fix. Also, when subtracting, you may need to
change to improper to make the first one large
enough to subtract the second one.
94 3 pounds 12 oz. 4 pounds 12 oz.
24 oz.
becomes
1 pound 8 oz.
8 pounds 8 oz.
95 3 tons 1500 pounds 2 tons 500 pounds
2000 pounds
becomes
1 ton
6 tons
96 5 tons 1900 lbs. 6 tons 1100 lbs.
3000 lbs.
becomes
1 ton 1000 lbs.
12 tons 1000 lbs.
97 4 lbs. 15 oz. 3 lbs. 11 oz.
26 oz.
becomes
1 lb. 10 oz.
8 lbs. 10 oz.
985 tons 2000 lbs.
6 tons - 2 tons 1200 lbs.
3 tons 800 lbs.
99 9 lbs. 24 oz.
10 lbs. 8 oz. - 6 lbs. 12 oz.
3 lbs. 12 oz.
100 3 lbs 18 oz.
4 lbs. 2 oz. - 2 lbs. 10 oz.
1 lb. 8 oz.
101 2 tons 3000 lbs.
3 tons 1000 lbs. - 2 tons 1500 lbs.
1500 lbs.
102 9 lbs. 23 oz.
10 lbs. 7 oz. - 2 lbs. 10 oz.
7 lbs. 13 oz.
103 2 tons 3200 lbs.
3 tons 1200 lbs. - 1 tons 1900 lbs.
1 tons 1300 lbs.
104How are customary units like fractions?
- Mixed units are added and subtracted like mixed
fractions. - Conversions from one unit to another work like
mixed to improper. - Remainders can be written in fractional units.