1. Chapter 1 Fractions Our Goals:
I will learn how to write equivalent fractions using equivalent forms of one.
I will learn how to find the greatest common factor of two or more numbers.
I will learn how to write fractions in simplest form.
I will learn how to compare and order fractions and find their approximate locations on a number line.

2. A whole number that can only be divided evenly by itself or one.
What is a prime number?
A whole number that can only be divided evenly by itself or one.

3. Sieve of Eratosthenes
The Sieve of Eratosthenes is a chart that can help us easily identify prime numbers.
Eratosthenes was a Greek scientific writer, astronomer and poet.
He was born in 276 BC and died in 194.

4. Cross off the number 1.

5. Circle the number 2, it is our first prime number.
Cross out every even number after 2 because they are all divisible by 2.

6. Circle the number 3, it is our next prime number.
Cross out every third number because they are all divisible by 3.

7. Circle the number 5, it is our next prime number.
Cross out every number divisible by 5.

8. Circle the number 7, it is our next prime number.
Cross out every number divisible by 7.

9. Circle the remaining numbers, they are all prime.

11. What is prime factorization?
Finding the prime numbers that are factors of the given number.

12. What does the term greatest common factor mean?
The greatest factor that two numbers have in common.

13. Determining GCF by listing Factor Pairs
List all of the factor pairs. Workbook page 12.

14. Workbook Page 12

15. Determining GCF by making a list
List all of the factor in order from least to greatest. Workbook page 12.

16. Workbook Page 12

17. Determining GCF by using prime factors.
Hint: Use your Prime Number Chart Workbook page 13.

18. Workbook Page 13

19. Finding the GCF with Factor Trees
50 20
1st Draw the factor trees for both numbers
2nd Underline all the common prime factors
3rd List the common factors
4th Multiply the common factors to get the GCF

20. Page 13 Oliver found a common factor.
Cynthia found the least common multiple.
She is incorrect.
Irena found the greatest common factor.
She is correct.
Oliver found a common factor.
He did not find the GREATEST common factor.
He is incorrect.

21. Page 14

22. Page 14

23. Page 14

24. Page 15

25. Page 15

26. Page 16

27. Page 16

28. Work on exercises 12-30 on your own or with a partner.
Show What you know!
Work on exercises on your own or with a partner.
*You will need scrap paper

29. Page 16

30. Page 16

31. Page 16

32. Page 17

33. Page 17

34. Progress Check 1
Reviews Lessons 1-1 and Lessons 1-2