1. 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

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

3. 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!

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

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

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

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

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

9. 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) (6) (5)

10. Pg. 193
Then we evaluate or carry out the arithmetic using order of operations!
Multiplication comes before addition!!
224 ∙ ∙ ∙ 5 =
= = 3152 inches
We use two steps:
SUBSTITUTION and EVALUATION

11. 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

12. 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.

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

14. 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 ”

15. 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?

16. 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

17. 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.

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

19. 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.

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

21. 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 M F C
W = # wagons, M = # men, F = # women, C = # children
WANT:
what did Vermillion charge for each category?

22. Ox Expressions, pg
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

23. 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

24. 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

25. 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?

26. 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!

27. 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

28. 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 EQ