Discovering Expressions: Using GCF and Distributive Property

1. Cell phones are in lockers Gum is in trash Your schedule for today!

2. What are some things that you notice and what are some things that you wonder? • Adbell had some pieces of candy and ate 5 of them. Then he split the remaining candy equally among 4 friends.

3. Objective(S): Today I will be able to: Apply the properties of operations to generate equivalent expressions, identify when two expressions are equivalent and evaluate expressions at specific values of their variables So I can: learn how to use the greatest common factor and the distributive property to model and write equivalent expressions in factored form I will know I got it when: I can successfully discuss and write the solutions to at least 3 out of the 4 stations with my partners with at least 80% accuracy 6. EE.A.2, 6.EE.A.3, 6.EE.A.4

4. Vocabulary: • Expressions • Distribute • distributive property • greatest common factor (GCF) • factored form • Variable • Model • Evaluate

5. ‪Lesson 11: page 48 example 1 (You- take 2 minutes turn and talk to your partners and answer). We will check in afterwards. 2 2 The sum of two groups of five and two groups of three 2 x 5 + 2 x 3

6. Example 1b: pg. 48 (You- take 2 minutes turn and talk to your partners and answer). We will check in afterwards. 2 2 Two groups of the sum of five and three -(-5) (5+3) + (5+3) or 2(5+3)

7. Class discussion (We) Yes, because both expressions have two 5s and two 3s. Therefore, 2x5 + 2x3= 2(5+3) On the left hand side, 2 is being multiplied by 5 and then by 3 before adding the products together. On the other side, the 5 and 3 are added first and then multiplied by 2. Distributive Property

8. How do you feel? topic.

9. Example 2 pg. 49 You do, then we check in a plus a plus b plus b; two a’s plus 2 b’s; two times a plus two times b 2a means that there are 2 a’s or 2 x a 2 2

10. Example 2 pg. 50 You do, then we check in 2 2 (a + b) + (a + b) = 2 (a + b) Yes, there are 2 a’s and 2 b’s. Therefore 2a + 2b= 2(a+b)

11. Example 3 pg. 50- We do 3(f+g) We need to rewrite the expression as an equivalent expression in factored form which means the expression is written as the product of factors. The number outside the parentheses is the GCF 3 * f + 3 * g 3 3 goes on the outside and f + g go inside the parentheses 3(f+g)

12. Students will work in groups to complete stations. (20-25 minutes) Check in (5 minutes)

13. Station 1

14. Station 2

15. Station 3: How can you use your knowledge of GCF and the distributive property to write equivalent expressions? We can use our knowledge of GCF and the distributive property to change the expressions from standard form to factored form. 4 I would expand each term and determine the greatest common factor. The greatest common factor is the number that is placed on the blank line. 5 9 8 100

16. Station 4

17. How do you feel? topic.

18. Page 51

19. Ticket-To-Go: • Use greatest common factor and the distributive property to write an equivalent expression in factored form. • 13ab +15ab • Answer on sticky note -(-43) or 43 -(-5) or 5

20. Accommodations • Read or reread presentation or activity directions, as needed • or after prompting • Use examples to model and act as a guide for emerging learners