1. 1. List the factors of 21. 2. List the factors of 12. 3. What fraction is represented by the model? 4. Write two fractions that are equivalent to. SEPTEMBER 4, 2015 Warm-Up: 1, 2, 3, 4, 6, 12 1, 3, 7, 21

2. TONIGHT’S HOMEWORK Worksheet 1.1 ** This is on a handout, or on my teacher website Sign Syllabus!

3. WRITE THE OBJECTIVE IN YOUR OWN WORDS IN YOUR MATH JOURNAL: SWBAT write fractions in simplest form. Lesson 1.1

4. VOCABULARY Fraction A number that represents a part of a whole number. Equivalent Fractions Fractions that represent the same number but have different numerators and denominators. Greatest Common Factor Greatest factor that is common to two or more numbers. Simplest Form When a numerator and denominator’s only common factor is 1.

5. EXAMPLE 1 Find two fractions that are equivalent to. Multiply the top and bottom by the same number. Divide the top and bottom by the same number.

6. Each large rectangle below represents one whole. Each rectangle is divided into equal parts. It is called a fraction bar. Step 1Write a fraction to represent number of shaded sections total number of sections for each fraction bar. Step 2Match each fraction in the left column with its equivalent fraction in the right column. Write the pair of equivalent fractions. For example,. Step 3Write a third equivalent fraction for each pair in Step 2.

7. Step 5The fractions in the left column are in simplest form. Look at the fractions in the left column compared to those in the right column and explain what simplest form means. Step 4Draw two fraction bars to show and. Are these equivalent fractions? Explain. If so, write a third equivalent fraction to and.

8. EXAMPLE 2 Find the GCF of 24 and 36. Look at the prime factorization of 24 and 36. The common prime factors of 24 and 36 are 2, 2 and 3. The GCF can be found my multiplying these factors together. A factor tree may help. 36 49 2 23 3

9. WRITING FRACTIONS IN SIMPLEST FORM Divide the numerator and denominator by the greatest common factor (GCF). - OR - Divide the numerator and denominator by common factors until the only common factor is 1.

10. EXAMPLE 3 a.Write the fraction in simplest form: Find GCF of 20 and 50. 20 = 2  2  5 50 = 2  5  5 The common prime factors GCF = 2  5 = 10 of 20 and 50 are 2 and 5. Divide the numerator and denominator by the GCF. in simplest form is

11. EXAMPLE 3 CONTINUED… b.Write the fraction in simplest form: One common factor of 45 and 60 is 5. Divide the numerator and denominator by 5. A common factor of 9 and 12 is 3. Divide the numerator and denominator by 3. in simplest form is

12. COMMUNICATION PROMPT Describe a situation where you might see a fraction that is not in simplest form.

13. EXIT PROBLEMS 1. Find two fractions that are equivalent to. 2. Find the GCF of 32 and 48. 3. Write each fraction in simplest form. a. b. 16