Find your seat and be ready for your Do Now Good Morning !! Find your seat and be ready for your Do Now

How long will it take Peter to run across the court? Estimation of the Day (EOTD) How long will it take Peter to run across the court?

Estimation of the Day (EOTD) Too Low Too High

Estimation of the Day (EOTD) It took him 4.82 seconds.

Do Now Evaluate. 1. 5(7) – 1 2. 7(18 – 11) 3. 22 + 17  8 + 3 4. 36 + 15(40 – 35) 5. 33 + 7(12 – 4) 34 49 161 111 83

SWBAT identify and evaluate expressions with variables and constants. Objective: SWBAT identify and evaluate expressions with variables and constants.

SAM’S DINER TWAP!

SAM’S DINER Green Eggs …………….…….…$2.25 Regular Eggs ………………..…$2.00 Ham ………………………….…...$1.50 Bacon ……………………….….…$1.25 Small Drink …………………....$0.75 Large Drink ………………..……$1.00 Today’s Special ………….…...$4.25 (Green Eggs, Ham, Large Drink)

Ticket #1 G + H + S What did the customer order? How do you know that? How much is his order? How did you find the sum mentally? Did anyone solve it differently?

Ticket #2: X + G + S Ticket #3: 2G + B Ticket #4 E + 3H + 2L Here are some other orders that have been sent to the kitchen. Discuss with your partner what was ordered and calculate the cost of each bill. Be sure that each of you agree and can explain your thinking and strategies to the class.

Ticket #2 X + G + S Do think this order was made by one person? What was ordered? What is the total amount for the bill? How did you determine that?

Ticket #4 E + 3H + 2L What did this person order and what did it cost Ticket #4 E + 3H + 2L What did this person order and what did it cost? How did you determine that? Is there another way to explain it? Ticket #3 2G + B What did this person order and what did it cost? How did you determine that?

Find your seat and be ready for your Do Now Good Morning !! Find your seat and be ready for your Do Now

How long will it take Peter to scoot across the court? Estimation of the Day (EOTD) How long will it take Peter to scoot across the court?

Estimation of the Day (EOTD) Too Low Too High

Estimation of the Day (EOTD) It took him 5.88 seconds.

Do Now Here are some large orders that were sent to the kitchen for the cook to fix. Work with your partner to determine what was ordered and the total cost of each ticket. Be sure you each agree and can explain the strategies you used to figure it out.

Do Now - Some Large Orders Ticket #5: 2(G + H) Ticket #6: (G + S) + 2H

Vocabulary variable constant algebraic expression evaluate

A variable is a letter or symbol that represents a quantity (amount) that can change. A constant is a quantity (amount) that does not change.

Algebraic Expressions NOT Algebraic Expressions An algebraic expression contains one or more variables and may contain operation symbols. So p  7 is an algebraic expression. Algebraic Expressions NOT Algebraic Expressions 150 + y 85 ÷ 5 35  w + z 10 + 3  5 To evaluate an algebraic expression, substitute a number for the variable and then find the value.

Ex. 1: Evaluating Algebraic Expressions Evaluate k – 9 for each value of k. A. k = 15 k – 9 15 – 9 Substitute 15 for k. 6 Add. B. k = 32 k – 9 32 – 9 Substitute 32 for k. 41 Add.

TOYO 1 Evaluate a + 6 for each value of a. A. a = 43 B. a = 75

You can write multiplication and division expressions without using the symbols  and . Instead of . . . You can write . . . x  3 x  3 x(3) 3x 35 y 35 ÷ y When you are multiplying a number times a variable, the number is written first. Write “3x” not “x3.” Read 3x as “three x.” Writing Math

Ex. 2: Evaluating Algebraic Expressions Involving Order of Operations Evaluate the expression for the given value of the variable. A) 4x – 3 for x = 2 4(2) – 3 Substitute 2 for x. Multiply. 8 – 3 5 Subtract.

Ex. 2: Evaluating Algebraic Expressions Involving Order of Operations B) s ÷ 5 + s, for s = 15 15 ÷ 5 + 15 Substitute 15 for s. 3 + 15 Divide. 18 Add. C) 5x2 + 3x, for x = 2 5(2)2 + 3(2) Substitute 2 for x. 5(4) + 3(2) Evaluate the power. 20 + 6 Multiply. 26 Add.

TOYO 2 Evaluate the expression for the given value of the variable. A) 3x – 2 for x = 3 B) r ÷ 3 + r, for r = 12 C) 4y2 + 2y, for y = 3

Ex. 3: Evaluating Algebraic Expressions with Two Variables 6 a Evaluate + 4b, for a = 3 and b = 2. 6 a + 4b 6 3 Substitute 3 for a and 2 for b. + 4(2) Divide and multiply from left to right. 2 + 8 10 Add.

TOYO 3 8 w Evaluate + 2x, for w = 4 and x = 2.

Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

Evaluate n + 7 for each value of n. 1. n = 25 2. n =31 Exit Ticket Evaluate n + 7 for each value of n. 1. n = 25 2. n =31 Evaluate each algebraic expression for the given value of the variables 3. 6y – 5 for y = 7 4. 4x2 + 3x for x = 6 5. + 3y for x = 4 and y = 3 6. The expression 7d gives the number of days in d weeks. Evaluate 7d for d = 12. How many days are in 12 weeks? 32 38 37 162 56 x 23 84

Lesson Quiz for Student Response Systems 1. Evaluate m + 4 for m = 19. A. 21 B. 27 C. 23 D. 28

Lesson Quiz for Student Response Systems 2. Evaluate 7x – 8 for x = 5. A. 20 B. 27 C. 22 D. 32

Lesson Quiz for Student Response Systems 3. Evaluate 6x2 + 5x for x = 5. A. 185 B. 85 C. 175 D. 50

Lesson Quiz for Student Response Systems 39 y 4. Evaluate + 5y for x = 3 and y = 5. A. 38 B. 44 C. 54 D. 64

Lesson Quiz for Student Response Systems 5. The expression 12n gives the number of months in n years. Evaluate 12n for n = 3. How many months are in 3 years? A. 12 months B. 24 months C. 36 months D. 48 months