We will add and subtract expressions.

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1 Learning Objective We will add and subtract expressions. NAME PER. CFU What are we going to do? Activate Prior Knowledge Identify variable terms (underline) and constant terms (circle) in the expressions. 1. (3x + 6) + (-5x 11) 2. (4d + 10) (6d 5) Make Connection 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. READY TO TEACH SM EDI Lessons Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

Concept Development Like terms are terms with the same variables raised to the same power. Adding and subtracting expressions is to combine 1 like terms.

2 Concept Development 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. Adding and Subtracting Expressions (3x + 6) + (-5x 11) 3x and -5x are like terms. 6 and -11 are like terms. -2x 5 (3x + 6) + (-5x 11) and -2x 5 are equivalent expressions. (4d + 10) (6d + 5) 4d and 6d are like terms. 10 and -5 are like terms. -2d + 5 (4d + 10) (6d + 5) and -2d + 5 are equivalent expressions. 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) Vocabulary 1 put together 2 makes 3 equal value

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

4 Skill Development/Guided Practice (continued) Adding and subtracting expressions is to combine like terms. Adding and subtracting expressions creates equivalent expressions. 1 Rewrite the expressions as the sum of all terms. 2 Identify like terms in the expressions. (underline and circle) 3 Combine like terms. Hint: Add each like term. 4 Interpret equivalent expressions. is equivalent to 5. (8k 2) (4k + 6) 6. (5m + 6) (10m 7) 8k + (-2) + (-4k) + (-6) 5m (-10m) + 7 CFU How did I/you rewrite the expressions? How did I/you identify like terms? How did I/you combine like terms? Like Terms 3x and -5x 6 and (11b + 5) + (-12b 2 ) 8. (4q + 5) (9q 1) 11b (-12b) + (-2) 4q (-9q) + 1

5 Skill Development/Guided Practice (continued) Adding and subtracting expressions is to combine like terms. Adding and subtracting expressions creates equivalent expressions. 1 Rewrite the expressions as the sum of all terms. 2 Identify like terms in the expressions. (underline and circle) 3 Combine like terms. Hint: Add each like term. 4 Interpret equivalent expressions. Hint: Answer the question. 9. What is the perimeter 5 of the trapezoid? 4m 2 3m What is the perimeter of the triangle? 6n + 3 4n + 1 CFU How did I/you rewrite the expressions? How did I/you identify like terms? How did I/you combine like terms? Like Terms 3x and -5x 6 and -11 4m + 5 5n 5 (4m 2) + (7) + (4m + 5) + (3m) (6n + 3) + (4n + 1) + (5n 5) The perimeter of the trapezoid is The perimeter of the triangle is Vocabulary 5 distance around

Adding and subtracting expressions is to combine like terms. Adding and subtracting expressions creates equivalent expressions. Skill Closure 1 Rewrite the expressions as the sum of all terms.

6 Adding and subtracting expressions is to combine like terms. Adding and subtracting expressions creates equivalent expressions. Skill Closure 1 Rewrite the expressions as the sum of all terms. 2 Identify like terms in the expressions. (underline and circle) 3 Combine like terms. Hint: Add each like term. 4 Interpret equivalent expressions. is equivalent to Like Terms 3x and -5x 6 and (-3z 1) + (7z + 6) 2. (11u + 7) (9u 1) -3z + (-1) + (7z) u (-9u) + 1 Access Common Core Jasmine made an error in adding the expressions below. Describe and correct the error she made. Summary Closure 3m +1 (4m + 2) -2m What did you learn today about adding and subtracting expressions? (Pair-Share) Use words from the word bank. Word Bank combine like terms equivalent expressions

Independent Practice Adding and subtracting expressions is to combine like terms. Adding and subtracting expressions creates equivalent expressions. 1 Rewrite the expressions as the sum of all terms.

7 Independent Practice Adding and subtracting expressions is to combine like terms. Adding and subtracting expressions creates equivalent expressions. 1 Rewrite the expressions as the sum of all terms. 2 Identify like terms in the expressions. (underline and circle) 3 Combine like terms. Hint: Add each like term. 4 Interpret equivalent expressions. Hint: is equivalent to or Answer the question. Like Terms 3x and -5x 6 and (12k 9) + (2k + 5) 2. (10h + 12) (7h 3) 12k + (-9) + 2k h (-7h) k 9 + (2k + 5) is equivalent to 10h + 12 (7h 3) is equivalent to 3. (8d + 1) (13d + 3) 4. (9b + 5) + (-7b 1) 8d (-13d) + (-3) 9b (-7b) + (-1) 8d + 1 (13d + 3) is equivalent to 9b (-7b 1) is equivalent to 5. What is the perimeter of the triangle? (n + 13) + (2n 10) + (3n 2) n n 10 The perimeter of the triangle is 3n 2

8 Periodic Review b 5 + (6b + 3) 2. 6c (-4c 7) (-9c + 3) 3. (9f + 8) (5f 12) 4. (9q 3) (6q + 11) 5. 2k (13k 2) 6. (8y + 11) (y 11) + (-7y + 8)

9 Periodic Review 2 1. (9z 10) + (5z + 11) 2. -7x (9x 4) (10x 6) 3. 5h + 5 (7h 1) 4. 8y 8 + (-y 8) 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) 4m -6y 3

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

Are You Ready? Simplify Fractions

Are You Ready? Simplify Fractions SKILL 10 Simplify Fractions Teaching Skill 10 Objective Write a fraction in simplest form. Review the definition of simplest form with students. Ask: Is 3 written in simplest form? Why 7 or why not? (Yes,