IMP 1- 10/13 (P) 10/14 (W) Warm up: Pg. 195 and 196, To Kearny by Equation Read through the activity. Answer: What does the 2 in front of the W and the 0.3 in front of H represent? profit = 2W – 0.3H

Worksheet – CODE LINE, both sides DUE TODAY Worksheet – CODE LINE, both sides Put in left side of folder

Due Next Class Pg. 197, 1 – 3 Write what you know (important information) and what you want to find for each question… Next answer the questions!

Objective - Students will be able to write algebraic expressions for verbal descriptions

Agenda Warm Up/ Announcements Laced Travelers, pg. 194 PURPLE CLASSES To Kearny by Equation, pg. 195- 196 Review The Vermillion Crossing, pg. 197- HW OX Expressions, pg. 198 – 199 ACTIVITY Exit Quiz

Pg. 193 PURPLE classes We found the following to be true: #1. a woman needs 224” #2. a man needs 256” #3. a child needs 144”

Pg. 193 Algebra expression for # 4: 224W + 256M + 144 C Where W, M and C mean….??? We must ALWAYS define our variables

Be sure to define your variables W = # of women in a family M = # of men in a family C = # of children in a family

Pg. 193 Use the expression to find the total number amount of shoelaces needed for a family of 5 women, 6 men and 5 children. Let W = 4, M = 6 and C = 5 We replace the variable with the desired numerical value (substitute) 224 (4) + 256 (6) + 144 (5)

Pg. 193 Then we evaluate or carry out the arithmetic using order of operations! Multiplication comes before addition!! 224 ∙ 4 + 256∙ 6 + 144 ∙ 5 = = 896 + 1536 + 720 = 3152 inches We use two steps: SUBSTITUTION and EVALUATION

Laced Travelers, pg. 194 Read pg. 194 quietly START by writing down the important information in your notes– use math abbreviations!! Example: KNOW: Shoelaces– 2 cents/ yd Avg. # families = 25 Avg. family = 2 men + 1 woman + 3 children

Pg. 194 what info are you looking for? WRITE IT on your paper Want: # yds. Shoelaces in 1852 altogether Think about what you KNOW and how that can help you find the answer.

Pg. 194 Do # 1 Think quietly and write your thoughts/ answer on your paper THINK– independent quiet work Share- Students present to class

Pg. 194 debrief Can you turn your verbal description into an algebraic expression?? Example: verbal description for # 1 “you take the length of shoelaces for each family times the 25 families in each train times 150 wagon trains in 1852 ”

Use algebra to help Can you use variables to help express your thoughts in a math “shorthand” ? Make sure you ALWAYS define your variables!! If we let: S = total amt of shoelace needed for 1 family F = # of families in a wagon train T = # of wagon trains What does SFT represent? WHAT WOULD SFT mean?

To Kearny by Equation, pg. 195 (Write in your notes) KNOW: Fee- $2 per wagon Ferry Capt- 30 cents/ hour Formula profit = 2W – 0.3H

Pg. 195 How much would each brother make? How can you write the formula to represent each brother’s profit? Determine their profit if there are 7 wagons.

Pg. 196 Distributive Property review We know from arithmetic, 2 (2 + 3) = 2 (2) + 2 (3) = 4 + 6 = 10 OR 2 (2 + 3) = 2 (5) = 10 √ We can do the same with variables!

distributive property 2 (x + 2) = 2x + 2(2) = 2x + 4 We see ½ (2W – 0.3 H) = ½ (2W) – ½ (0.3 H) = W – 0.15 H The profit EACH brother will make!! HALF the total profit from their business! Each brother makes $1 and pays $.15 per hour to the ferry boat captain.

practice Write in your notes: Use distributive property to simplify: 3 (x + 2) 4 (x – 4) 5 (x + 10) 2 (2x + 4)

The Vermillion Crossing, pg. 197 DO for homework, # 1 – 3 (FOR ALL 4 FAMILIES!!) Write what you KNOW on your paper. Write what you WANT to find. EXAMPLE #1. KNOW: P ($) = 0.5 W + 0.25 M + 0.01 F + 0.05C W = # wagons, M = # men, F = # women, C = # children WANT: what did Vermillion charge for each category?

Ox Expressions, pg. 198 - 199 Summary phrases- an algebraic expression summarizing a situation using as few words as possible Example: Algebraic Expression: M + W if M = # of men in a family W = # of women in a family SUMMARY PHRASE: Number of adults in a family

Summary Phrase examples “# of students taking IMP 1” Algebraic Expression: NC Let N = Avg # of students in an IMP1 class C = # of IMP 1 classes NC = # of students taking IMP 1 OR avg. # of students in each class times the number of IMP 1 classes

Summary phrases- example Money paid by a class to go to a museum Algebraic Expression: MS LET M = cost per student to go to museum S = # of students in a class MS= (cost per student) times (# of students) MS = total money paid by a class to go to the museum

Ox Expressions ACTIVITY-- FIND your MATCH FIRST take a moment to think about YOUR CARD- review pg. 198 If you have a summary phrase– what variables could be used to describe it? If you have an algebraic expression- what summary phrase describes it?

Pg. 198 Each student will be given either a summary phrase (shaded) OR a matching algebraic expression (white) Your goal– find your match!! White cards look for a matching shaded card!

Exit QUIZ Write an algebraic expression for each summary phrase LET B = # of boys in a class G = # of girls in a class L = cost of lunch for a student Total # of boys and girls in a class Total cost of lunch for boys Total cost of lunch for girls Total cost of lunch for all students in a class

Final instructions Start by writing for each problem… WU HOMEWORK -due next class- pg. 197, 1 – 3 Start by writing for each problem… KNOW: (what you know) WANT: (what you want to find) THEN your answer!  2. Put the following in your group folder …. Which side????? LEFT, LEFT, always on the LEFT WU CW, pg. 193- 196 EQ