Download Mrs. Fuller Points Earned: ______ Total Points: 14

Name: _________________________________
Mrs. Fuller
Points Earned: __________
Total Points: 14
Date: ________________
Standards: 7N10
Objectives: 1. Students will be able to identify all the prime numbers between 1 and
100.
2. Students will be able to determine the prime factorization of a given
number and write in exponential form.
Useful Vocabulary:
1. Prime Number
2. Composite Number
3. Prime Factorization
Problem of the Day: Solve the following one step equation. (You must show all work
to get credit.)
x − 9 = 53
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Directions for the above chart.
1.
2.
3.
4.
Cross out the number 1.
Circle the number 2, then cross out all multiples of 2 (all even numbers.)
Circle the number 3, then cross out all multiples of 3.
Circle the next number that is not crossed out then cross out all multiples of
that number.
5. Continue this until all numbers are circled or crossed out.
The above is a complete list of all the prime numbers between 1 and 100. You should
know these prime numbers.
Mrs. Fuller
Math 7
-2-
Date: ________________
What is a composite number? _______________________________________________
________________________________________________________________________
Give examples: _____________________________________________
What is a prime number? __________________________________________________
________________________________________________________________________
Give examples: _____________________________________________
What is prime factorization of a number? ______________________________________
________________________________________________________________________
Examples: What is the prime factorization of 24?
2. What is the prime factorization of 225?
3. What is the prime factorization of 1104
4. What is the prime factorization of 834?
Mrs. Fuller
Math 7
-3-
Date: ________________
Homework
0
1
2
Write each number in prime factorization using exponents.
1. 273
2. 54
3. 65
4. 112
5. 99
6. 550
Write whether the following numbers are prime or composite.
7. 762
8. 93
9. 333
Mrs. Fuller
Math 7
10. 109,825
-4-
Date: ________________
Standards: 7N8
Objectives: 1. Students will be able to find the common factors and greatest common
factor of two or more numbers
Useful Vocabulary:
1. factor
2. Greatest common factor
Problem of the Day: Solve the following expression
9.7653 − 0.331
What is a factor? ________________________________________________________
______________________________________________________________________
What are the factors for 45? ________________________________
What are the factors for 24? ________________________________
What are the factors for 54? ________________________________
Let’s compare the factors for 12 and 16.
12: ______________________________________
16: ______________________________________
List all the factors that 12 and 16 have in common: ________________________
What is the greatest factor that 12 and 16 have in common? ______________
What is the Greatest Common Factor? ________________________________________
________________________________________________________________________
Abbreviation: __________________
Mrs. Fuller
Math 7
-5-
Date: ________________
Examples: Find the GCF for the following numbers.
1. 35, 49
2. 42, 24
3. 80, 180
4. 36, 72
Let us look at another way to find the GCF. When you have very large numbers it may
not be so easy to find all the factors to list them. The best way to do this is to use prime
factorization.
FINDING GCFs USING PRIME FACTORIZATION
Example: Find the GCF of 639 and 909.
First find the prime factorization of each number.
Second, take the common prime factors and multiply them together. This will
give you the GCF.
Find the GCF of 56, 78, and 100 using prime factorization.
Mrs. Fuller
Math 7
-6-
Date: ________________
Homework
0
1
2
Find the Greatest common factors for the following sets of numbers.
1. 72, 80
2. 4, 6, 10
3. 56, 66
4. 40, 80, 100
5. 32, 28
6. 108, 303
7. 79, 27
8. 50, 45
Use prime factorization to find the GCF of the following numbers.
9. 7002, 4806
Mrs. Fuller
Math 7
-7-
Date: ________________
Standards: 7N10 and 7N8
Objectives: 1. Students will practice with finding the prime factorization of numbers and
the GCF.
Problem of the Day: Define the following word.
Multiple
Find the prime factorization of the following numbers.
1. 750
2. 234
3. 63
4. 128
5. 556
6. 320
Mrs. Fuller
Math 7
-8-
Date: ________________
7. 99
8. 82
9. 303
10. 1008
Find the GCF of the following numbers.
11. 78 and 90
12. 64 and 24
13. 72 and 36
14. 108 and 204
15. 432 and 860
16. 45 and 99
Mrs. Fuller
Math 7
-9-
Date: ________________
17. 672 and 80
18. 68 and 40
19. 505 and 1000
20. 800 and 1600
Mrs. Fuller
Math 7
- 10 -
Date: ________________
Problem of the Day: Use the Q-TIPS problem solving method to solve the following
problem.
TI
P
Mrs. Fuller
Math 7
Q
S
- 11 -