1. What are we going to do? CFU Students, you already know how to identify variable terms and constant terms in an expression. Now, we will identify like terms in an expression to add and subtract expressions. Make Connection We will add and subtract expressions. Learning Objective Activate Prior Knowledge Identify variable terms (underline) and constant terms (circle) in the expressions. 1. (3 x  6)  (-5 x  11) 2. (4 d  10)  (6 d  5)

2. CCSS 7 th Grade Expressions and Equations 1.1 Add and subtract expressions. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Which terms will be added together when adding the expressions (3 y  9)  (5 y  11) ? How do you know? A 3 y  5 y B 3 y  9 C 9  (-11) D 5 y  (-11) CFU 1 put together 2 makes 3 equal value Vocabulary Concept Development Adding and Subtracting Expressions Like terms are terms with the same variables raised to the same power. Adding and subtracting expressions is to combine 1 like terms. Adding and subtracting expressions produces 2 equivalent 3 expressions. (3 x  6)  (-5 x  11) and -2 x  5 are equivalent expressions. (4 d  10)  (6 d  5) and -2 d  5 are equivalent expressions. (3 x  6)  (-5 x  11) -2 x  5 (4 d  10)  (6 d  5) -2 d  5 Animated 3 x and -5 x are like terms. 6 and -11 are like terms. 3 x and -5 x are like terms. 6 and -11 are like terms. 4 d and 6 d are like terms. 10 and -5 are like terms. 4 d and 6 d are like terms. 10 and -5 are like terms.

3. CCSS 7 th Grade Expressions and Equations 1.1 Add and subtract expressions. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Rewrite the addition or subtraction problem vertically. Hint: Line up like terms. Combine like terms. Hint: Add or subtract each like term. Interpret 4 equivalent expressions. “____ is equivalent to ____” Add and subtract expressions. 1 2 3 4 explain Vocabulary How did I/you rewrite the expressions? How did I/you combine like terms? CFU 1 2 Skill Development/Guided Practice Adding and subtracting expressions is to combine like terms. Adding and subtracting expressions creates equivalent expressions. 1. (3 a  9)  (7 a  8) 2. ( 2 y  4)  (5 y  10) 3. (5 d  7)  (11 d  5) 4. (4 p  9)  (9 p  6) 10 a  1 “(3a – 9) + (7a + 8) is equivalent to 10a – 1”“(2y + 4) + (5y – 10) is equivalent to 7y – 6” “(5d + 7) + (11d – 5) is equivalent to 16d + 2” “(4p – 9) + (9p + 6) is equivalent to 13p – 3”  7 a  8 3 a  9 7y7y  6  5 y  10 2 y  4 16 d  2  (11 d  5) 5 d  7 13 p  3  (9 p  6) 4 p  9 Like Terms 3 x and -5 x 6 and -11

4. CCSS 7 th Grade Expressions and Equations 1.1 Add and subtract expressions. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Skill Development/Guided Practice (continued) Rewrite the expressions as the sum of all terms. Identify like terms in the expressions. (underline and circle) Combine like terms. Hint: Add each like term. Interpret equivalent expressions. “____ is equivalent to ____” Add and subtract expressions. 1 2 3 4 How did I/you rewrite the expressions? How did I/you identify like terms? How did I/you combine like terms? CFU 1 2 3 Adding and subtracting expressions is to combine like terms. Adding and subtracting expressions creates equivalent expressions. 5. (8 k  2)  (4 k  6) 6. (5 m  6)  (10 m  7) 7. (11 b  5)  (-12 b  2)  (4 b  3) 8. (4 q  5)  (9 q  1)  (-12 q  13) 8 k  (-2)  (-4 k )  (-6) 4k4k  (-8) 4 k  8 “(8k – 2) – (4k + 6) is equivalent to 4k – 8” 5 m  6  (-10 m )  7 -5 m  13 “(5m + 6) – (10m – 7) is equivalent to -5m + 13” 11 b  5  (-12 b )  (-2)  (-4 b )  (-3) -5 b  0 -5 b “(11b + 5) + (-12b – 2) – (4b + 3) is equivalent to -5b” 4 q  5  (-9 q )  1  (-12 q )  13 -17 q  19 “(4q + 5) – (9q – 1) + (-12q + 13) is equivalent to -17q + 19” Like Terms 3 x and -5 x 6 and -11

5. CCSS 7 th Grade Expressions and Equations 1.1 Add and subtract expressions. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Skill Development/Guided Practice (continued) 9. What is the perimeter 5 of the trapezoid?_________________________________ 10. What is the perimeter of the triangle?_________________________________ 4 m  2 4 m  5 3m3m 7 4 m  (-2)  7  4 m  5  3 m 5 n  5 4 n  1 6 n  3 The perimeter of the trapezoid is 11 m  10. 6 n  3  4 n  1  5 n  (-5) The perimeter of the triangle is 15 n  1. Adding and subtracting expressions is to combine like terms. Adding and subtracting expressions creates equivalent expressions. (4 m  2)  (7)  (4 m  5)  (3 m ) 11 m  10 (6 n  3)  (4 n  1)  (5 n  5) 15 n  1 Rewrite the expressions as the sum of all terms. Identify like terms in the expressions. (underline and circle) Combine like terms. Hint: Add each like term. Interpret equivalent expressions. Hint: Answer the question. Add and subtract expressions. 1 2 3 4 How did I/you rewrite the expressions? How did I/you identify like terms? How did I/you combine like terms? CFU 1 2 3 Like Terms 3 x and -5 x 6 and -11 5 distance around Vocabulary

6. CCSS 7 th Grade Expressions and Equations 1.1 Add and subtract expressions. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Adding and subtracting expressions will help you solve real-world problems. Adding and subtracting expressions will help you do well on tests. 1 Does anyone else have another reason why it is relevant to add and subtract expressions? (Pair-Share) Why is it relevant to add and subtract expressions? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why? CFU 2 Relevance Sample Test Question: 64. Choose Yes or No to indicate whether each expression is equivalent to 5 x  7  (3 x  9). A 2 x  2 B 2 x  16 C 2( x  1) D x  x  1  1 O Yes O No Adding and subtracting expressions is to combine like terms. Adding and subtracting expressions creates equivalent expressions. Beverly’s fence is in the shape of an isosceles trapezoid. One base is 6 yards shorter than each leg. The other base is 4 yards short of being twice as long as each leg. If the perimeter of the trapezoid is 58 yards, what is the length of each side of the trapezoid? y  6 2 y  4 y y y  6  y  y  2 y  4)  58 5 y  10  58

7. CCSS 7 th Grade Expressions and Equations 1.1 Add and subtract expressions. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Rewrite the expressions as the sum of all terms. Identify like terms in the expressions. (underline and circle) Combine like terms. Hint: Add each like term. Interpret equivalent expressions. “____ is equivalent to ____” Add and subtract expressions. 1 2 3 4 What did you learn today about adding and subtracting expressions? (Pair-Share) Use words from the word bank. Access Common Core Summary Closure Word Bank combine like terms equivalent expressions 1. (-3 z  1)  (7 z  6) 2. (11 u  7)  (9 u  1) Skill Closure “-3z – 1 + (7z + 6) is equivalent to 4z + 5”“11u + 7 – (9u – 1) is equivalent to 2u + 8” Jasmine made an error in adding the expressions below. Describe and correct the error she made. 3m + 1 – (4m + 2) -2m Adding and subtracting expressions is to combine like terms. Adding and subtracting expressions creates equivalent expressions. -3 z  (-1)  (7 z )  6 4z4z  5 11 u  7  (-9 u )  1 2u2u  8 Like Terms 3 x and -5 x 6 and -11

8. CCSS 7 th Grade Expressions and Equations 1.1 Add and subtract expressions. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Independent Practice 1. (12 k  9)  (2 k  5) 2. (10 h  12)  (7 h  3) 3. (8 d  1)  (13 d  3) 4. (9 b  5)  (-7 b  1) 5. What is the perimeter of the triangle? __________________________________________________ 3 n  2 2 n  10 n  13 “12k – 9 + (2k + 5) is equivalent to 14k – 4” “10h + 12 – (7h – 3) is equivalent to 3h + 15” “8d + 1 – (13d + 3) is equivalent to -5d – 2”“9b + 5 + (-7b – 1) is equivalent to 2b + 4” The perimeter of the triangle is 6 n  1. Adding and subtracting expressions is to combine like terms. Adding and subtracting expressions creates equivalent expressions. Rewrite the expressions as the sum of all terms. Identify like terms in the expressions. (underline and circle) Combine like terms. Hint: Add each like term. Interpret equivalent expressions. Hint: “____ is equivalent to ____” or Answer the question. Add and subtract expressions. 1 2 3 4 12 k  (-9)  2 k  5 14 k  (-4) 14 k  4 10 h  12  (-7 h )  3 3h3h  15 8 d  1  (-13 d )  (-3) -5 d  (-2) -5 d  2 9 b  5  (-7 b )  (-1) 2b2b  4 n  13  2 n  (-10)  3 n  (-2) ( n  13)  (2 n  10)  (3 n  2) 6n6n  1 Like Terms 3 x and -5 x 6 and -11

9. CCSS 7 th Grade Expressions and Equations 1.1 Add and subtract expressions. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Periodic Review 1 1. 7 b  5  (6 b  3) 2. 6 c  10  (-4 c  7)  (-9 c  3) 3. (9 f  8)  (5 f  12) 4. (9 q  3)  (6 q  11) 5. 2 k  8  (13 k  2) 6. (8 y  11)  ( y  11)  (-7 y  8) 13 b  2 11 c 4 f  203 q  14 15 k  6 30

10. CCSS 7 th Grade Expressions and Equations 1.1 Add and subtract expressions. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Periodic Review 2 Access Common Core 1. (9 z  10)  (5 z  11) 2. - 7 x  12  (9 x  4)  (10 x  6) 3. 5 h  5  (7 h  1) 4. 8 y  8  (- y  8) 14 z  1-8 x  14 -2 h  6 7 y  16 Describe and correct each error made in adding and subtracting expressions below. 1. A (-5 x  20)  (4 x  3) B (8 a  2)  (6 a  1) -9x – 232a – 3 3.A (7 m  7)  (8 m  4)B (-4 y  9)  (2 y  6) 4m4m -6y – 3 2.A (-10 h  5)  (8 h  1)B (3 k  8)  (4 k  10) 4h4h5k5k

11. CCSS 7 th Grade Expressions and Equations 1.1 Add and subtract expressions. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Periodic Review 3 Access Common Core 1. What is the perimeter of the quadrilateral? __________________________________________________ 2 m  1 2 m  5 3m3m 5 The perimeter of the quadrilateral is 7 m  9. 1. Choose Yes or No to indicate whether each expression is equivalent to 20 h  12. A(18 h  12)  2 h B(25 h  7)  (5 h  5) C(13 h  3)  (7 h  15) D(17 h  6)  (-3 h  6) O Yes O No 2. Choose Yes or No to indicate whether each expression is equivalent to -18 p  9. A(-21 p  5)  (-3 p  4) B(-14 p  9)  2 p C(-7 p  1)  (-11 p  10) D(-13 p  5)  (5 p  4) O Yes O No 3. Choose Yes or No to indicate whether each expression is equivalent to 5 d  11. A(-2 d  5)  (-7 d  6) B(13 d  3)  (8 d  8) C(-6 d  4)  (11 d  7) D(8 d  11)  3 d O Yes O No