1. On Thursday morning, the local radio station held a call-in contest.
" fivery third caller to the station won a T-shirt.
' f;very seventh caller won a baseball cap. Sonrg, goo ane
caller nornber 10.
ln 50 calNs, which callers won a T-shirt? A baseball cap?
S*th prizes?
any materials you like to solve this problem.
i,Jse
Show how you used materials to solve this problem.
Sfumw ###w# thare
Share ysur answers with another pair of students.
What strategies did you use to solve the problem?
Disc$ss how using materials helped.
Describs any patterns you nCIticed.
?€$e&B**e8qt*s***4*ttqf&s***s&6&&t**&*a g$*6a$***4S&*&**A*
'
',rl 1.l ,1ll .',:
f"+ *ecall that to find the multiples of a number,
i...:'$t fi at that number and count on bythe number.
ifu ean use a hundred chart to find the rnultiples of a number.
.nnultiples of 4 are:
1 2 3 4, s G} I '8' o 1t]
,,,8; 1:,
'16,
:0, 24,28,32, 36, 4e, ...
11 se 'D 14 15 16 1''
It {s t,g 2Q
rnultiples of 6 are:
21 22 23 ffi 26 as 27 e8 2g HH
i;rlt, te, ?4, 30, i6, ... 31 3? 33 34 35 "36
J' 38 eo 4CI
fr$,and 3S appear in both lists"
*re mukiples of 4 and of G.
are coslinon nnultiples of 4 and 6.
t;
i€sfimon rnultiple of 4 and 5 is divisible by 4 and by 6.
I l<Jentify muhiples qnd common multiples. 4g

2. solutions'
You may use a hundred chart to modelyour
i. List the first 10 multiples of each number'
e) f!7
al 2 bl 5 cl 8 dl 12 11
pair of numbers'
e- Find the first 3 common multiples of each
al 4and5 b) l0and 15 c) 3and9
dl Zand 11 el 7and4 f) 6 and 10
Find the first 3 common multiples of each
set of numbers'
3,
al 3,4,and 6 bl 2,3,and4 c) 4,5,and10
Explain Your work.
48'
Find the first 2 common multiples of 36 and
s. A spider has I legs. An ant has 6legs'
There are a group of spiders and a group of ants'
The groups have equal numbers of legs'
What is the least number of spiders and ants
in each grouP? Show Your work'
5. Find all the common multiples of I and 9 that are less than 100'
7. Make a large copy of this Venn diagram'
Sort these numbers.
45,24,52, 30, 56, 15, 85, 90' v2, 6A,20, 38
Sam jogs every 2 days' He does Pilates
every 3 days'
8.
Suppose Sam jogs and does Pilates on October
1"
What are the next 3 dates on which he willjog
and do Pilates? Explain how you know'
Calculator $kills
Findlnumbsr*with' ' ,'
' a gum '{ il6 snd a,Prddt
€xplain hcw yol't would'find the first
c*mmon rnultiple CIf 12 and 15.
Un* ? Lessa
fgcus { Questign 5