1. Fractions Secondary Math II (Math 2)

2. Quiz #1 In addition to getting a poor letter grade in academics, when other grade will be affected if you choose not to do homework? 1. 2. Under what conditions are you required to attend the post-test review (on the first EO after the test at 7:30 AM)? 3. If you submit your homework sometime after we turned it in at the beginning part of class, where do you turn it in.

3. What does this mean? “numerator” “ denominator” # of parts needed to make a “whole” “ whole pie (one pie), whole apple (one apple), or just the number one. actual # of parts that you have

4. Your turn: 1. Numbers are adjectives. They describe things (how many). If this number were describing pies, are there more than, less than, or exactly one pie? 2. If this number were describing oranges, are there more than, less than, or exactly one orange?

5. Activity Work Sheet

6. Multiplying Fractions Do you multiply first or do you simplify THEN multiply? multiply simplify simplify

7. Divide Rational Expressions I don’t know how to divide fractions. divide fractions. What do I do? Multiply by the reciprocal Can this fraction be reduced?

8. Inverse property of Multiplication Any number divided by itself equals one. Any number multiplied by its reciprocal equals one.

9. Inverse property of Multiplication “Cancel out common factors from the numerator and the denominator.

10. Inverse property of Multiplication What if you can remember that Factor…factor…factor.

11. Multiply then simplify Yuck!

12. Your Turn: Simplify3. 4.

13. Simplifying Rational expressions “cancel out” common factors from the numerator and denominator. numerator and denominator.

14. Your Turn: Simplify:5. 6.

15. What does “like terms” mean? Like variables: Like powers:

16. Adding Fractions What type of fractions can you combine together using addition or subtraction? using addition or subtraction? “like fractions” Are these “like fractions”? How do you make them “like fractions”?

17. Adding Fractions How do you make them “like fractions”? Combine the numerator over a common denominator.

18. Adding fractions: 7. 8. 9.

19. Factoring Fractions to find the LCM Let’s just look at the denominators. We need a “common” denominator. Factor the denominators What factors do they already have in common? What factors does each have that are NOT common to both? Multiply right side by 4 and left side by 3. The product is the least common multiple of 15 and 20.

20. Factoring Fractions to find the LCM Get the common denominator by multiplying the right term by 3/3 and the left term by 4/4.

21. Your turn: 10. 11.

22. Vocabulary Complex Fraction is a fraction in the numerator and a fraction in the denominator. and a fraction in the denominator. Simplifying complex fractions: “I don’t know the reason why, just flip and multiply”

23. Your turn: 12.