What are we going to do?

1. Learning Objective We will add and subtract expressions. What are we going to do? CFU Activate Prior Knowledge Identify variable terms (underline) and constant terms (circle) in the expressions. 1. (3x+ 6) + (-5x- 11) 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 2. (4d+ 10) - (6d- 5)

2. Concept Development • Like termsare terms with the samevariables raised to the samepower. • Adding and subtractingexpressions is to combine1 like terms. • Adding and subtracting expressions produces2equivalent3expressions. CFU Which terms will be added together when adding the expressions (3y+ 9) +(5y-11)? How do you know? A 3y +5y B 3y+ 9 C 9 +(-11) D 5y+(-11) Adding and Subtracting Expressions (3x+ 6) + (-5x- 11) -2x- 5 3x and -5x are like terms. 3x and -5x are like terms. 6 and -11are like terms. 6 and -11 are like terms. Animated (4d+ 10) - (6d+5) and -2d+5are equivalentexpressions. (3x+ 6) +(-5x- 11) and -2x- 5 are equivalentexpressions. (4d+ 10) - (6d+5) -2d+5 4d and 6d are like terms. 4d and 6d are like terms. 10 and -5 are like terms. 10 and -5are like terms. 1 put together 2 makes 3 equal value Vocabulary

3. Skill Development/Guided Practice • Adding and subtractingexpressions is to combine like terms. • Adding and subtracting expressions creates equivalentexpressions. Like Terms 3x and -5x 6 and -11 How did I/you rewrite the expressions? How did I/you combine like terms? CFU Add and subtract expressions. 1 Rewrite the addition or subtraction problem vertically. Hint: Line up like terms. Combine like terms. Hint: Add or subtract each like term. Interpret4 equivalent expressions. “____ is equivalent to ____” 1 2 2 3 3a - 9 2y + 4 • 7a+ 8 • 5y- 10 10a - 1 7y - 6 “(3a – 9) + (7a + 8) is equivalent to 10a – 1” “(2y + 4) + (5y – 10) is equivalent to 7y – 6” 5d + 7 4p - 9 + (11d- 5) + (9p+ 6) 16d + 2 13p - 3 4 explain Vocabulary “(4p – 9) + (9p + 6) is equivalent to 13p – 3” “(5d + 7) + (11d – 5) is equivalent to 16d + 2”

4. Skill Development/Guided Practice (continued) • Adding and subtractingexpressions is to combine like terms. • Adding and subtracting expressions creates equivalentexpressions. Like Terms 3x and -5x 6 and -11 How did I/you rewrite the expressions? How did I/you identify like terms? How did I/you combine like terms? CFU Add and subtract expressions. 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. “____ is equivalent to ____” 1 2 2 3 3 4 8k+ (-2) + (-4k) + (-6) 5m+ 6 + (-10m) + 7 4k + (-8) -5m + 13 4k - 8 “(8k – 2) – (4k + 6) is equivalent to 4k – 8” “(5m + 6) – (10m – 7) is equivalent to -5m + 13” 11b+ 5 + (-12b) + (-2) + (-4b) + (-3) 4q+ 5 + (-9q) + 1 + (-12q) + 13 -5b + 0 -17q + 19 -5b “(4q + 5) – (9q – 1) + (-12q + 13) is equivalent to -17q + 19” “(11b + 5) + (-12b – 2) – (4b + 3) is equivalent to -5b”

5. Skill Development/Guided Practice (continued) • Adding and subtractingexpressions is to combine like terms. • Adding and subtracting expressions creates equivalentexpressions. Like Terms 3x and -5x 6 and -11 How did I/you rewrite the expressions? How did I/you identify like terms? How did I/you combine like terms? CFU Add and subtract expressions. 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. 1 2 2 3 3 4 4m- 2 6n+ 3 3m 7 4n+ 1 4m+ 5 5n- 5 (4m- 2) + (7) + (4m+ 5) + (3m) (6n+ 3) + (4n+ 1) + (5n- 5) 4m+ (-2) + 7 + 4m+ 5 + 3m 6n+ 3 + 4n+ 1 + 5n+ (-5) 11m + 10 15n - 1 5 distance around Vocabulary The perimeter of the trapezoid is 11m +10. The perimeter of the triangle is 15n -1.

6. Relevance • Adding and subtractingexpressions is to combine like terms. • Adding and subtracting expressions creates equivalentexpressions. Adding and subtracting expressions will help you solve real-world problems. 1 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 y y y- 6 + y + y + (2y- 4) = 58 2y- 4 5y- 10 = 58 Sample Test Question: 64. Choose Yes or No to indicate whether each expression is equivalent to 5x- 7 - (3x- 9). A 2x+ 2 B 2x- 16 C 2(x+ 1) D x+x + 1 + 1 Adding and subtracting expressions will help you do well on tests. 2 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 O Yes O No O Yes O No O Yes O No O Yes O No

7. Adding and subtractingexpressions is to combine like terms. • Adding and subtracting expressions creates equivalentexpressions. Like Terms 3x and -5x Skill Closure 6 and -11 Add and subtract 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. “____ is equivalent to ____” 1 2 3 4 Word Bank -3z+ (-1) + (7z) + 6 11u+ 7 + (-9u) + 1 combine like terms equivalent expressions 4z + 5 2u + 8 “-3z – 1 + (7z + 6) is equivalent to 4z + 5” “11u + 7 – (9u – 1) is equivalent to 2u + 8” Access Common Core Jasmine made an error in adding the expressions below. Describe and correct the error she made. 3m + 1 – (4m + 2) -2m Summary Closure What did you learn today about adding and subtracting expressions? (Pair-Share) Use words from the word bank.

8. Independent Practice • Adding and subtractingexpressions is to combine like terms. • Adding and subtracting expressions creates equivalentexpressions. Like Terms 3x and -5x 6 and -11 Add and subtract 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. 1 2 3 4 12k+ (-9) + 2k+ 5 10h+ 12 + (-7h) + 3 14k + (-4) 3h + 15 14k - 4 “10h + 12 – (7h – 3) is equivalent to 3h + 15” “12k – 9 + (2k + 5) is equivalent to 14k – 4” 9b+ 5 + (-7b) + (-1) 8d+ 1 + (-13d) + (-3) 2b +4 -5d + (-2) -5d - 2 “8d + 1 – (13d + 3) is equivalent to -5d – 2” “9b + 5 + (-7b –1) is equivalent to 2b + 4” n+ 13 (n+ 13) + (2n- 10) + (3n- 2) 2n- 10 n+ 13 + 2n+ (-10) + 3n+ (-2) 6n + 1 3n- 2 The perimeter of the triangle is 6n +1.

9. Periodic Review 1 13b - 2 11c 4f + 20 3q - 14 15k + 6 30

10. Periodic Review 2 14z + 1 -8x + 14 7y - 16 -2h + 6 Access Common Core Describe and correct each error made in adding and subtracting expressions below. 1. A (-5x+ 20) - (4x+ 3) B (8a- 2) - (6a- 1) -9x – 23 2a – 3 2. A (-10h+ 5) + (8h+ 1) B (3k+ 8) + (4k- 10) 4h 5k 3. A (7m- 7) + (8m- 4) B (-4y- 9) - (2y+ 6) -6y – 3 4m

11. Periodic Review 3 2m- 1 5 3m The perimeter of the quadrilateral is 7m +9. 2m+ 5 Access Common Core 1. Choose Yes or No to indicate whether each expression is equivalent to 20h+ 12. O Yes O No O Yes O No O Yes O No O Yes O No O Yes O No O Yes O No O Yes O No O Yes O No A (18h+ 12) + 2h B (25h+ 7) - (5h - 5) C (13h- 3) + (7h + 15) D (17h+ 6) - (-3h + 6) A (-2d+ 5) - (-7d - 6) B (13d- 3) - (8d + 8) C (-6d- 4) + (11d - 7) D (8d- 11) - 3d O Yes O No O Yes O No O Yes O No O Yes O No A (-21p+ 5) - (-3p - 4) B (-14p+ 9) + 2p C (-7p- 1) + (-11p + 10) D (-13p+ 5) - (5p + 4) 2. Choose Yes or No to indicate whether each expression is equivalent to -18p+ 9. 3. Choose Yes or No to indicate whether each expression is equivalent to 5d- 11.