1. Lesson 3.1.1 Day 2 – Teacher Notes
Standard:
Preparation for 6.RP.3c
Find a percent quantity. Percent as a way to compare portions of a whole.
Chapter 9 – Heavy focus on percentages
Lesson Focus:
Focus of today is simplifying fractions using factoring to understand their equivalence.
(3-8)
I can convert among fractions, decimals, and percents.
Calculator: Yes
Literacy/Teaching Strategy: Huddle

2. BELLWORK

9. p Day to 3-8
In this lesson, you will analyze a powerful tool for finding equivalent fractions. This way of thinking about equivalence can be applied to many different situations. You will see how it can be used to solve problems and to investigate new applications.

10. FOCUS QUESTION
3-8. Tessa has a brilliant idea. “Look!” she exclaimed. “If I find the largest number that is a factor of both the numerator and denominator, I can simplify all the way in just one step!” She wrote down the example below.
Remember that the largest factor of two numbers is called their greatest common factor. How did Tessa figure out that 12 is the greatest common factor of 60 and 72?

11. 3-8. (cont.)
Factoring a number into its prime factors is to find the prime numbers that are its smallest factors. How can factoring into prime factors help you find the greatest common factor of any two numbers? Discuss this with your team and write down your ideas. Be prepared to share your ideas with the class.

12. 3-8. (cont.)
Work with your team to use Tessa’s idea to simplify each of these fractions in one step. State the greatest common factor for each part.
24 30
18 45
30 63

15. PRACTICE REVIEW
the-greatest-common-factor

16. PRACTICE
Simplify the following fractions by finding the GCF of the numerator and denominator.
21 56
72 80
50 24
12 120
15 60
14 36
18 30
45 55

17. HOMEWORK