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Activity 2 Common Multiples

jOb ective Identify common multiples.

1. Textbook Instructions Activity 2 Common Multiples

Explain about common multiples. Have Learn about common multiples.
students identify common multiples of two
numbers from among multiples. A common multiple is a number that is a multiple of two or more
numbers.

Have students learn about common Planes take off from Los Angeles to New L.A Boston
multiples using a number line. York City every 3 hours. Planes to Boston
The plane that goes to NYC from L.A. leaves take off every 4 hours. At 8:00 a.m., both New York
every 3 hours. The plane that goes to City
Boston from L.A. leaves every 4 hours. planes take off at the same time.
Have them look at the intervals between the How many hours after 8:00 a.m. will they
flight departures and find when both planes
leave at the same time after 8:00 a.m. How take off at the same time again?
many hours is this after 8:00 a.m.?
Mark every 3 hours for planes heading to New York City and 4 hours for
Mark every three hours on the number
line (L.A . NYC). planes heading to Boston on each number line.
Mark every four hours on the number line
(L.A . Boston). 8:00 a.m. 12:00 p.m. 6:00 p.m. 12:00 a.m. 6:00 a.m.
Mark the point where both planes leave
at the same time after 8:00 a.m. and New York City
count the spaces. Boston

8:00 a.m. 12:00 p.m. 6:00 p.m. 12 :00 a.m. hours 6:00 a.m. After how many hours will both planes take off at the same time?
New York City
12 hours 12 12 hours

Boston Solve the problem above using common multiples.
Find the multiples of each number.
Using what they have learned, have
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27 ...
students find multiples of 3 and 4 to find Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36 ...

common multiples. Find the common multiples of two numbers.
Common multiples of 3 and 4: 12, 24 ...
Refer to .
Both planes will take off at the same time again after 12 hours.

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2. Build Understanding

Using Common Multiples to Solve a Problem.
Have students look at the number line and skip-count by 3s to find the departure times for New York City. These
numbers are multiples of 3. Have them skip-count by 4s to find the departure times for Boston. These numbers are
multiples of 4.
Step1: Have students use the multiplication table of 3 to find multiples of 3 and use the multiplication table of 4 to find

multiples of 4.
Step2: Have them mark the common multiples among the multiples.
Step3: Students will see that the marked numbers are common multiples of 3 and 4.
Step4: Have them look at the common multiples of 3 and 4 and see that both planes will depart at the same time again

after 12 hours.
008 NUMINO Teacher s Guide
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