Real Life Words about GCF and LCM:
GCF:
Identical groups
Must use all
Greatest number
In each group
Share
Nothing left over
Distribute Equally
Place them
Split them
Equal groups
Greatest number of identical packages
LCM:
Smallest
At a time
Happens over and over
A few times
Each time
Least possible number of times
Same number of each
Minimum
GCF:
Identical groups
Must use all
Greatest number
In each group
Share
Nothing left over
Distribute Equally
Place them
Split them
Equal groups
Greatest number of identical packages
LCM:
Smallest
At a time
Happens over and over
A few times
Each time
Least possible number of times
Same number of each
Minimum
STEPS FOR SOLVING WORD PROBLEMS:
A. UNDERSTAND THE PROBLEM!
READ IT!
LOOK FOR KEY WORDS
SLASH THE TRASH
FIND THE QUESTION
B. PLAN HOW TO SOLVE!
WHAT GOES TOGETHER?
DO I ADD, SUBTRACT, MULTIPLY OR DIVIDE?
STRATEGY?
MORE THAN ONE STEP?
C. SOLVE AND SHOW ALL YOU KNOW!
DO OUT THE WORK/SHOW EVIDENCE
DRAW A DIAGRAM
WRITE A SENTENCE
EXPLAIN, EXPLAIN, EXPLAIN
D. CHECK YOUR WORK!
DOES IT MAKE SENSE?
DID YOU ANSWER THE QUESTION BEING ASKED?
DID YOU MAKE A CARELESS ERROR?
DID YOU SHOW PRIDE IN YOUR WORK?
A. UNDERSTAND THE PROBLEM!
READ IT!
LOOK FOR KEY WORDS
SLASH THE TRASH
FIND THE QUESTION
B. PLAN HOW TO SOLVE!
WHAT GOES TOGETHER?
DO I ADD, SUBTRACT, MULTIPLY OR DIVIDE?
STRATEGY?
MORE THAN ONE STEP?
C. SOLVE AND SHOW ALL YOU KNOW!
DO OUT THE WORK/SHOW EVIDENCE
DRAW A DIAGRAM
WRITE A SENTENCE
EXPLAIN, EXPLAIN, EXPLAIN
D. CHECK YOUR WORK!
DOES IT MAKE SENSE?
DID YOU ANSWER THE QUESTION BEING ASKED?
DID YOU MAKE A CARELESS ERROR?
DID YOU SHOW PRIDE IN YOUR WORK?
VOCABULARY:
Common Factors: factors that two or more numbers share
Example: 9 24
1 x 9 1 x 24
3 x 3 2 x 12
3 x 8
4 x 6
The common factors of 9 and 24 are 1 and 3.
Greatest Common Factor or GCF: The largest factor two or more numbers have in common.
Example: The GCF of 9 and 24 is 3.
Relatively Prime Numbers: Two or more numbers that have a GCF of 1. Example: 8 15
1 1 x 8 1 x 15
8 and 15 are relatively prime because they have a GCF of 1.
Composite Number: a number that has more than two factors
Example: 18
1 x 18
2 x 9
3 x 6
Prime Number: a number that only has two factors, one and
itself, 2 is the only prime number that is also
even
Example: 11
1 x 11
Square Number: a number with two identical factors
Example: 4
1 x 4
2 x 2
PRODUCT: THE ANSWER TO A MULTIPLICATION PROBLEM
FACTOR: ONE OF THE NUMBERS YOU MULTIPLY TOGETHER TO GET A PRODUCT
FACTOR PAIRS: A SET OF NUMBERS MULTIPLIED TOGETHER TO GET A PRODUCT
PROPER FACTORS: ALL THE FACTORS OF A NUMBER, EXCEPT THE NUMBER ITSELF
THE PRODUCT IS 24.
THE FACTORS OF 24 ARE: 1,2,3,4,6,8,12,24
THE FACTOR PAIRS OF 24 ARE: 1X24
2X12
3X8
4X6
THE PROPER FACTORS OF 24 ARE: 1,2,3,4,6,8,12
Divisibility Rules:
You can divide by: If........
2 the number 2 goes into it evenly
3 when you find the sum of the digits,
the number 3 goes into the sum
evenly
5 the number ends in 0 or 5
6 the number can be divided evenly
by BOTH 2 AND 3
9 when you find the sum of the digits,
the number 9 goes into the sum
evenly
10 the number ends in 0