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BIRTHDAY BOGGLE
- Look at Clue 2. What is the greatest number
that M can be? (11)How did you figure it out?
(M is less than 12 and the greatest whole number less
than 12 is 11.)
- What numbers are on Ima’s list? (5, 6, 7, 8, 9,
10,and 11.)
- What numbers on Ima’s list are eliminated by
Clue 3? (All numbers except for 5 and 10.)
- Which numbers does Clue 4 eliminate? (10)
- How can you check your answer? (Replace each
Min the clues with its value. Be sure that the state-
ments are true.)
Work together as a class to answer the questions
in “Solve the Problem: Birthday Boggle.”
Math Chat With the Transparency
Display the “Make the Case: Birthday Boggle”
transparency on the overhead. Before students
can decide which character is “on the ball,” they
need to figure out the answer to the problem.
Encourage students to work in pairs to solve
the problem, then bring the class together for
another whole-class discussion. Ask:
- Who has the right answer? (Bobby)
- When was Mary Cassatt born? (May 22, 1944)
- How did you figure out the value of P? (From
Clue 1, P can be 1, 2, 3,.. ., or 25. Clue 2 elimi-
nates all odd numbers. Clue 3 eliminates all even
numbers except for 20, 22, and 24. Clue 4 eliminates
20 and 24. So, P = 22.)
- How do you think Sally got 20? (20 fits clues 1, 2,
and 3. Sally probably forgot to use Clue 4.)
- How do you think Buddy got 24? (24 fits clues 1,
2, and 3. Buddy probably forgot to use Clue 4.)
32
Name _____________________________________________ Date __________________
BIRTHDAY BOGGLE
33
I’ll start with Clues 1 and 2 , and
make a list of numbers for M. The
first three numbers are 5, 6, and 7.
1.What are all of the numbers on Ima’s list?
_____________________________________
_____________________________________
2 .Complete the date. Neil Armstrong was born on August _______ , 1930.
3.How did you figure out the birth date? ________________________
______________________________________________________
4 .Check your number with the clues. Show your work here.
SOLVETHE
PROBLEM Neil Armstrong was a test pilot and commander of the spacecraft
Apollo 11. He was the first person to touch the moon’s surface.
Neil Armstrong was born on August M, 1930.
The letter Mstands for the date that Neil
Armstrong was born.
Use the clues to figure out M.
CLUES:
1) M+M+M≥ 15
2 )M< 6 x 2
3 ) 5 is a factor of M.
4) M≠ 10
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BIRTHDAY BOGGLE
Name _____________________________________________ Date __________________
(^34) Who is on the ball?
MAKETHE
CASE
Sally Soccer Bobby Baseball
Buddy Basketball
Mary Cassatt was a painter and printmaker. She is most famous
for her paintings of children. Mary Cassatt was born on
May P , 1844.
The letter Pstands for the birth date.
Use the clues to figure out P.
CLUES:
- P≤5 x 5
- P÷2 has a zero remainder.
- The sum of the tens and ones digits of
Pis an even number. - The difference between the tens and ones digits is less than 2.
As an artist in
my spare time,
I am certain
that Pis 20.
Using our two
brains, we
are sure that
Pis 22.
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have to be an
artist to know
that Pis
clearly 24.
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Algebra Readiness Made Easy: Grade 5 © Greenes, Findell & Cavanagh, Scholastic Teaching Resources