Greatest Common Factor
What is the GCF of 10 and 15?
5
What is the LCM of 8 and 12?
24
1
Prime, Square
What is the prime factorization of 20?
2 x 2 x 5
What are the key phrases that tell you it is a GCF problem? Give at least 1 possible answer.
Snack pack
Shared equally
Greatest number of ___
What is the GCF of 33 and 66?
11
What is the LCM of 20 and 25
100
2
Prime
100
22 x 52
OR
2 x 2 x 5 x 5
What key phrase(s) tell you it is a LCM problem? Give at least 1 possible answer.
Next time together
Least amount of time
Together again
Ms. Friedman and 23 of her students are planning on having cheese and crackers at her class picnic. She can buy crackers in packages of 12 and cheese slices in packages of 8. She wants everyone to get the same number of cheese and crackers with no leftovers. What is the least number of packages of cheese and crackers Ms. Friedman should buy? How much does each person get?
2 packages of crackers and 3 packages of cheese slices.
Each person gets one cheese slice and one cracker.
700
50
Composite
200
23 x 52
OR
2 x 2 x 2 x 5 x 5
How do you know if a number is even?
If it's divisible by 2.
The cast of a play had a party. The drama teacher served 20 cookies and 40 carrot sticks. Each cast member ate the same number of whole cookies and whole carrots. Nothing was left over. The drama teacher did not eat. How many cast members might have been at the party? How much would each person have eaten? Give 2 possible solutions
20 members; each member gets 1 cookie and 2 carrot sticks.
10 members; each member gets 2 cookies and 4 carrot sticks.
5 members; each member gets 4 cookies and 8 carrot sticks.
4 members; each member gets 5 cookies and 10 carrot sticks.
2 members; each member gets 10 cookies and 20 carrot sticks.
1 member; the member gets all 20 cookies and 40 carrot sticks.
The manager turns on the restaurant's two neon signs at the same time. Both signs blink as they are turned on. One sign blinks every 9 seconds. The other sign blinks every 15 seconds. In how many seconds will they blink together again?
45 seconds
36
Composite, Square
222
2 x 3 x 37
How do you know if a number is divisible by 3?
If the sum of the digits is a multiple of 3
Ms. Friedman's uncle donates 120 cans of juice and 90 granola bars for the school picnic mentioned earlier. Each student must receive the same number of cans of juice and the same number of packs of crackers with no leftovers.
What is the greatest number of students who can come to the picnic and share the food equally? How many cans of juice and packs of granola will each student receive?
30 students total. Each student gets 4 cans of juice and 3 granola bars.
The school cafeteria serves pizza every sixth day and applesauce every eighth day. Suppose that pizza and applesauce are both on today's menu. In how many days will they be together on the menu again?
24 days
121
Prime, Square
368
24 x 23
OR
2 x 2 x 2 x 2 x 23
What is the Order of Operations? Explain each part FULLY.
GEMDAS tells you what to look for first.
G= Grouping
E=Exponents
M/D= Multiplication and Division, done left to right
A/S= Addition and Subtraction, done left to right.