PK12 Curriculum – Mathematics
Grade 5 – Module 1
Whole Number and Decimal Fraction Place Value to the One-Thousandths
Assessment
Place Value Concepts to Show Understanding of Operations and Rounding
CC.2.1.5.B.1 – Apply place value concepts to show an understanding of operations and rounding as they pertain to whole numbers and decimals.
1.) Five swimmers compete in a 50-meter race. The finish times are posted below. © Smarter Balanced
Swimmer One
23.42 seconds
Fifth
Swimmer Two
23.18 seconds
First
Swimmer Three
23.21 seconds
Second
Swimmer Four
23.35 seconds
Fourth
Swimmer Five
23.24 seconds
Third
Explain how the race results would change if the race used a clock that rounded to the nearest tenth.
2.) How many hundreds are in 37,000?
3.) How many thousands are in 328,000?
4.) Which is the best estimate for 32,283 + 4,703?
a. 70,000
b. 72,000
c. 36,000
d. 37,000
5.) What is the value of the underlined digit in the number 38.918?
a. Eight ones
b. eight tenths
c. eight hundredths
d. eight thousandths
6.) Which decimal is less than 9.703?
a. 9.730
b. 9.803
c. 9.438
d. 9.918
7.) A new artist sold 827,019 complete albums in the first week of release on iTunes. Each album cost $11.83. ABOUT
how much money did the album generate in the first week?
a. $99,600.00
b. $996,000.00
c . $9,996,000.00
d. $99,960,000.00
Solve Problems Using Conversions within a Given Measurement System
© Illustrative Mathematics
CC.2.4.5.A.1 – Solve Problems using conversions within a given measurement system
8.) Five brothers are going to take turns watching their family’s new puppy. How much time will each brother spend
watching the puppy in a single day if they all watch him an equal amount of time?
i.
Using only hours
ii.
iii.
Using hours and minutes
Using only minutes
3
4
a. 34 hours
3
b. 45 hours
4
c. 54 hours
a. 4 hr. 20 min. b. 4 hr. 26 min.
a. 280 minutes b. 288 minutes
d. 65 hours
c. 4 hr. 40 min. d. 4 hr. 48 min.
c. 300 minutes d. 350 minutes
9.) Mrs. Smith had 75 feet of ribbon. If each of 18 students in her class gets an equal length of ribbon, how long will
each piece be?
3
1
2
3
i.
Using only feet
a. 3 4feet
b. 46 feet
c. 53 feet
d. 65 feet
ii.
iii.
Using feet and inches
Using only inches
a. 4 ft. 1 in.
a. 48 inches
b. 4 ft. 2in.
b. 50 inches
c. 4 ft. 3 in.
c. 60 inches
d. 4 ft. 4 in.
d. 64 inches
10.) Wesley walked 11 miles in 4 hours. If he walked the same distance every hour, how far did he walk in one hour?
1
2
b. 2 3 hours
3
c. 24 hours
5
i.
Using only hours
a. 22 hours
d. 26 hours
ii.
iii.
Using hours and minutes
Using only minutes
a. 2 hr. 15 min. b. 2 hr. 28 min. c. 2 hr. 45 min. d. 2 hr. 50 min.
a. 150 min.
b. 165 min.
c. 175 min.
d. 180 min.
Culminating Tasks
Place Value Concepts to Show Understanding of Operations and Rounding
CC.2.1.5.B.1 – Apply place value concepts to show an understanding of operations and rounding as they pertain to whole numbers and decimals.
Batting Averages 2012
Pedro Alvarez
Andrew McCutchen
Ryan Howard
Jimmy Rollins
Chase Utley
.244
.327
.219
.250
.256
Batter Up!
1.) Using the data above, how much better is the batting average of the player with the highest average than that
of the player with the lowest average? How do you know?
2.) Please order the data above from lowest batting average to highest batting average.
3.) Write two generalizations about the data above based on the information you have. Back up your
generalizations with specific data.
4.) If rounded to the nearest hundredth, will any of the players have the same average? Justify your answer.
Solve Problems Using Conversions within a Given Measurement System
CC.2.4.5.A.1 – Solve Problems using conversions within a given measurement system
Comparing Units of Metric Linear Measure
1.) Work with a partner (or independently if teacher desired). Measure the length in
centimeters of ten Base 10 long blocks placed end to end. Record your results on the
table below.
2.) Convert the centimeter measurement to millimeters using 1 cm = 10 mm.
3.) Convert the centimeter measurement to meters using 100cm = 1 m.
4.) Repeat steps 1-3 five more times using a different number of Base 10 long blocks placed
end to end. Record your results on the table.
Test Run
Number
Number of Base
10 Longs
1
10
Length in
Length in
Length in meters
centimeters (cm) millimeters (mm)
(m)
2
3
4
5
6
5.) Describe the relationships you see between millimeters, centimeters, and meters from
your test runs.