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“Day F” Feb. 11, 2016 LUNCH (1st lunch) Express/Mandarin Exploratory
Social Studies English Science Math
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ab (13+15) Activator 13ab + 15ab 13ab +15ab Take out packet.
2/11/16 Take out packet. Use Greatest Common Factor and the distributive property to write equivalent expressions in factored form. Copy this onto pg. 47 and solve: 13ab +15ab 13ab + 15ab ab (13+15)
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OBJECTIVE(S): 2/11/16 I will be able to:
Model and write equivalent expressions using the distributive property to move from an expanded form to a factored form of an expression, and to move from factored form to expanded form of an expression. I will know I got it when: I can successfully complete exercise 1 independently or with my partner with at least 80% accuracy 6.EE.A.2 6.EE.A.3 6.EE.A.4
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Lesson 11: page 48 example 1 2 2 The sum of two groups of five and two groups of three 2(5) + 2(3)
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-(-5) Example 1: pg. 48 2 2 Two groups of the sum of five and three
(5+3) + (5+3) or 2(5+3)
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5 and 3 are added first and then multiplied by 2
Page 49 Yes. Both expressions have two 5s and two 3s (5) + 2(3) = (5+3) 2(5) + 2(3) = (5+3) 2 is multiplied by 5 and then by 3 before adding the products together 5 and 3 are added first and then multiplied by 2 Distributive Property
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How do you feel? topic.
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Pg. 50 3(f+g) Rewrite in factored form. GCF will go outside the parentheses. 3 f + 3 g GCF = 3 3 f + 3 g 3 outside and f + g inside the parentheses 3(f+g)
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Pg. 51 3(2x+3y) + Rewrite in factored form. The number outside the parentheses is the GCF. 23x 3y “factor out” the 3 from both terms put 3 outside parentheses What is left in the terms goes inside the parentheses (2x +3y) 3
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Pg. 51 c(3+11) Yes. Expand each term. 3c c c (3+11)
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Pg. 51 4. 8(3b+1) 24b + 8 2223b + 222 3b + ____ 24b = 2223b
8 = 222 GCF = 8 8 goes outside the parentheses and 3b+1 goes inside the parentheses. 24b + 8 2223b + 222 3b + ____ 1 In this case when I factor out an 8 from 8, I am left with a 1 because 81=8 Think “groups”. 8 groups of 3b and 8 groups of 1 8(3b) + 8(1) or as 8 groups of the sum of 3b+1 8(3b+1)
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With your partner, complete Exercises 1 on pages 52
7x + 7y 18h h 35g 5 h 511m 1 36m 7 n 7 8 y 310a 13 b 11f f
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With your partner, complete
Exercises 2a. on pages 52
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With your partner, complete
Exercises 2b. on pages 52
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With your partner, complete
Exercises 2c. on pages 53
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With your partner, complete
Exercises 2d.-2e. on pages 53 Both problems had the the same answer when substituted with the same value. The two expression will still be equivalent, no matter the value of the variable.
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Page 53 I use GCF and the distributive property to change the expressions from standard form to factored form. Find the missing value that makes the two expressions equivalent. 4 4x 3 y 5 57x 10 y 9 29x 1 y 8 48x y 100 100x 100 y
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Sum of four groups of 2h and four groups g.
Pg. 58 three groups of (x+y) x y x y x y Sum of three groups of x 3x and three groups of y 3y Sum of four groups of 2h and four groups g. Four groups of (2h+g) 2h g 2h g 2h g 2h g 2h + 2h + 2h +2h + g + g + g + g 4 (2h +g) 8h +4g
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Pg. 59 8h + 24 6h + 21 15x + 54y 44h + 12g 7jk + 12mj 9ab + 13a
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a ( b +c ) ab + ac ab + ac “a” groups of the quantity “b” plus “c”
To write an equivalent expression, I would multiply “a” times “b” and “a” times “c”. Then, I would add the two products together. ab + ac Means “a” groups of size “b” plus “a” groups of size “c”.
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Page 54 Page 59-60
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Ticket-To-Go: Feb. 11, 2016 -(-43) or 43 -(-5) or 5
Answer in agenda (or notebook) Use the distributive property to write equivalent expressions in expanded form. 5(7h+3m) = 35h + 15m -(-43) or 43 -(-5) or 5
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Feb. 11, 2016 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
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