Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

Math Journal (5 Min) Vocabulary – Each student will be given vocabulary words that are found within the lesson. They must then, at the beginning of class, write what they think the definitions before they have been taught the lesson and, at the end of class, write about what they now know the definitions are after they have been taught the lesson. Then, each student will discuss his/her answers within their group. Finally, to leave class, each student will have to give/write 1 word and definition that pertained to the lesson.

Homework Review (5 Min)

Warm Up Simplify. 1. 9 + 13  5 + 3 20 2. 16  8 + 4  1 11 3. 6 + 9  10 + 3 8 4. 17 + 8  20  2 3

Problem of the Day Ray and Katrina are wandering through the wildlife preserve. They observe and count a total of 15 wild turkeys and deer and a total of 46 legs. How many of each did they see? 7 turkeys, 8 deer

Textbook Examples (I Do) (5 Min)

Learn to combine like terms in an expression.

Vocabulary terms like terms equivalent expressions simplify

Terms in an expression are separated by plus or minus signs. Like terms can be grouped together because they have the same variable raised to the same exponents. Constants such as 4, 0.75, and 11 are like terms because none of them have a variable. Helpful Hint Equivalent expressions have the same value for all values of the variables.

To simplify an expression, perform all possible operations, including combining like terms.

Additional Example 1: Combining Like Terms To Simplify Combine like terms. A. 14a – 5a Identify like terms. 9a Combine coefficients: 14 – 5 = 9 Identify like terms; the coefficient of y is 1, because 1y = y. B. 7y2 + 8 – 3y2 – 1 + y Combine coefficients: 7 – 3 = 4 and 8 – 1 = 7 4y2 + y + 7

Additional Example 2A: Combining Like Terms in Two-Variables Expressions Combine like terms. 5t2 + 7p – 3p – 2t2 5t2 + 7p – 3p – 2t2 Identify like terms. 3t2 + 4p Combine coefficients.

Additional Example 2B: Combining Like Terms in Two-Variable Expressions Combine like terms. 4m3 + 9n – 2 4m3 + 9n – 2 No like terms.

The Distributive Property states that a(b + c) = ab + ac for all real numbers a, b, and c. For example, 2(3 + 5) = 2(3) + 2(5). Remember!

Additional Example 3: Using the Distributive Property to Simplify Simplify 6(5 + n) – 2n. 6(5 + n) – 2n 6(5) + 6(n) – 2n Distributive Property. 30 + 6n – 2n Multiply. 30 + 4n Combine coefficients: 6 – 2 = 4.

Additional Example 4: Combining Like Terms to Solve Algebraic Equations Solve x + 3x = 48. x + 3x = 48 Identify like terms. The coefficient of x is 1. 4x = 48 Combine coefficients: 1 + 3 = 4 4x = 48 Divide both sides by 4. 4 4 x = 12

Class work Problems (We Do) (10 Min) Pg. 302-303 (1-18)

Small Group CW(Yall Do) (10 Min) Pg. 302-303 (20-56 EOE)

Homework (You Do) (10 Min) Pg. 302-303 (19, 31, 37, 43, 51 odd)

Math Journal (5 Min) Vocabulary – Each student will be given vocabulary words that are found within the lesson. They must then, at the beginning of class, write what they think the definitions before they have been taught the lesson and, at the end of class, write about what they now know the definitions are after they have been taught the lesson. Then, each student will discuss his/her answers within their group. Finally, to leave class, each student will have to give/write 1 word and definition that pertained to the lesson.

Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

Lesson Quiz Combine like terms. 1. 3x2 + 4 + 2x2 2. 13k + 6 – 8m + 9 + k Simplify. 3. 4(3x + 6) – 7x 4. 6(x + 5) + 3x Solve. 5. 6y + y = 42 6. The Accounting Department ordered 15 boxes of pens. The Marketing Department ordered 9 boxes of pens. If the total cost of the combined order was $72, what is the price of each box of pens? 5x2 + 4 14k – 8m + 15 5x + 24 9x + 30 y = 6 $3

Lesson Quiz for Student Response Systems 1. Combine like terms. 4p + 13 + 11p A. 15p2 + 13 B. 15p + 13 C. 28p D. 28

Lesson Quiz for Student Response Systems 2. Combine like terms. 15t + 9 – 7s + 10 + 5t A. 15t – 7s – 1 B. 15t – 7s + 1 C. 20t – 7s + 19 D. 20t + 7s + 19

Lesson Quiz for Student Response Systems 3. Simplify 7(4m + 9) – 9m. A. 19m + 9 B. 19m + 63 C. 37m + 9 D. 37m + 63

Lesson Quiz for Student Response Systems 4. Solve 11v + 2v = 65. A. v = 2 B. v = 5 C. v = 7 D. v = 11