Grade 5 Performance Tasks Answer Key
Understanding Numbers
1.
|
Rounded
to the
|
Rounded
to the
|
||
|
Nearest
Million
|
Nearest
10 Million
|
||
|
1930
|
123,202,624
|
123,000,000
|
120,000,000
|
|
1940
|
132,164,569
|
132,000,000
|
130,000,000
|
|
1950
|
151,325,798
|
151,000,000
|
150,000,000
|
|
1960
|
179,323,175
|
179,000,000
|
180,000,000
|
|
1970
|
203,302,031
|
203,000,000
|
200,000,000
|
|
1980
|
226,545,518
|
227,000,000
|
230,000,000
|
2. & 3. Answers will vary
Using Addition and Subtraction
|
Rounded
|
Front-end
and
Adjusted
|
|||
| 1. |
2,353
|
2,400
+3,800 6,200 |
2,353
+3,774 6,000 |
|
| 2. |
2,353
+3,774 6,127 |
|||
| 3. |
4,250
-3,065 1,185 |
4,300
-3,100 1,200 |
4,250
-3,065 <1,200 |
|
| 4. |
4,250
-3,065 1,185 |
|||
| 5. Answers |
will
|
vary |
Adding and
Subtracting Decimals
1.Look for an accurate BAR graph (title, both axes labeled, appropriate
scale, and accurately plotted data).
2.
| .336 Tony Gwynn |
| .335 Willie McGee |
| .330 Gary Sheffield |
| .319 Terry Pendelton |
| .313 Tony Gwynn |
3.
|
.336 |
4.
| Tony Gwynn .336 rounds to .34 |
| Willie McGee .335 rounds to .34 |
5. Answers will vary
Multiplying Whole Numbers
Estimation example:
6 x 4 = 24 Twenty-four rounds to 20. Four floors of 15 equals 60. Sixty
times 20 is equal to 60. Sixty time 20 is equal to 1,200. So Ted would
probably have enough tiles.
|
15
x4 60 |
60
x20 1,200 |
Answers will vary. Students should show evidence of rounding and/or front-end
estimation.
1. 24 tiles are needed for each kitchen. 6 x 4 = 24 sq.ft. or 24 ft. sq.
2. 1,440 tiles are needed to retile all kitchen floor areas in the building.
24 x 60 = 1,440 sq.ft. or 1,440 ft. sq.
3. $19.68 is the cost of retiling each kitchen.
4. $1,180.80 is the cost of retiling the entire building.
Dividing Whole Numbers: 1-Digit Divisors
1. The range is 315 (from 935-1,250).
2. The mode is 1,250
3. The median population is 1,160.
4. The mean population is 1,124. The student should explain the mean as
the arithmetic average and how he/she computed it.
5. Answer will vary.
Range - the difference between the greatest and the least number
in the set.
Median - the middle numbers when the set of numbers is listed in
order from the least to greatest.
Mode - the number or numbers that occur most often.
Dividing Whole Numbers: 2-Digit Divisors
| 1. Least possible quotient |  |
| 2. Greatest possible quotient |  |
| 3. Answers will vary. |
Multiplying and Dividing Decimals
| 1. | Saturn | 24.95 or 25 gallons |
| Corvette | 27.21 or 27 gallons | |
| Mustang | 21.38 or 21 gallons | |
| Jeep | 28.50 or 29 gallons | |
| 2. | Saturn | $32.17 |
| Corvette | $35.10 | |
| Mustang | $27.58 | |
| Jeep | $36.77 | |
| 3. | Answers will vary |
Geometry
Answers will vary.
Understanding Fractions and Mixed Numbers
Answers will vary.
Adding and Subtracting Fractions
Answers will vary.
Multiplying and Dividing Fractions
1.
| Price | After 10 days | After 20 days | After 30 Days | |
| Jacket | $120.00 | $90.00 | $80.00 | $60.00 |
| Shoes | $40.00 | $32.00 | $24.00 | $16.00 |
| Shirt | $12.00 | $9.00 | $8.00 | $4.00 |
2. The following are the seven possible combinations of items that can
be purchased by spending between $90.00 and $100.00:
| 1 jacket | $90.00 |
| 3 pairs of shoes | $96.00 |
| 11 shirts | $99.00 |
| 10 shirts | $90.00 |
| 1 jacket and 1 shirt | $99.00 |
| 2 pairs of shoes and 4 shirts | $96.00 |
| 1 pair of shoes and 7 shirts | $96.00 |
3. No, you would not have enough money to buy 2 jackets at the price after
10 days. Each jacket would cost $80.00; therefore, 2 jackets would cost
$160.00 and you only have $100.00 to spend.
4. Yes, you could buy all three items because the total cost would be
$80.00, and you have $100.00 to spend.
Ratio and Probability
Answers will vary.