1. Use Tuesday’s bell ringer space to answer this question. Update your table of contents for...

1.1. Use Tuesday’s bell ringer space to answer this question. Use Tuesday’s bell ringer space to answer this question. Update your table of contents for today’s handoutsUpdate your table of contents for today’s handouts

Which pattern doesn’t belong in the group?Which pattern doesn’t belong in the group?

TODAY’S HANDOUTSTODAY’S HANDOUTS• #0 – Table of Contents#0 – Table of Contents• #1 – 09/04/2012 – Bell Ringer (9/4-9/7)#1 – 09/04/2012 – Bell Ringer (9/4-9/7)• #2 – 09/04/2012 – Syllabus and Contract#2 – 09/04/2012 – Syllabus and Contract

Pre-Calculus Bell RingerPre-Calculus Bell RingerTuesday, 09/04/2012Tuesday, 09/04/2012

ChallengeChallenge1.1. Form groups of 3-5 with the neighbors sitting in Form groups of 3-5 with the neighbors sitting in

desks around youdesks around you

2.2. Each group should have one pair of scissors and one Each group should have one pair of scissors and one sheet of construction paper sheet of construction paper

3.3. Your team must Your team must make make a nametag for each member of a nametag for each member of the group who must the group who must wear wear the nametag the nametag

1.1. You may You may not use the same shape not use the same shape more than more than onceonce

2.2. You have to You have to use all parts use all parts of the construction of the construction paperpaper

3.3. You may You may not use anything to tape/glue not use anything to tape/glue pieces pieces of paper together or to a personof paper together or to a person

a)a) 1, 1, 2, 3, 5, ___ , ____ , ____1, 1, 2, 3, 5, ___ , ____ , ____

b)b) 1, 8, 3, 6, 5, ____ , _____ , ____1, 8, 3, 6, 5, ____ , _____ , ____

b)b) J, F, M, A, M, J, J, A, ____, ____, ____, J, F, M, A, M, J, J, A, ____, ____, ____, ________

Find the missing numbers/letters Find the missing numbers/letters in the sequencein the sequence

1.1. Use today’s bell ringer space to answer this question. Use today’s bell ringer space to answer this question. Update your table of contents for today’s handoutsUpdate your table of contents for today’s handouts

Using complete sentences, based on your prior Using complete sentences, based on your prior knowledge, knowledge, how is money related to schools?how is money related to schools?

(cut out all of your vocab pieces and pass the scissors (cut out all of your vocab pieces and pass the scissors around)around)

TODAY’S HANDOUTSTODAY’S HANDOUTS• #3 – 9/5/12 – School Funding: Key Term Guide#3 – 9/5/12 – School Funding: Key Term Guide• #4 – 9/5/12 – School Funding: Prior Knowledge#4 – 9/5/12 – School Funding: Prior Knowledge

Pre-Calculus Bell RingerPre-Calculus Bell RingerWednesday, 09/05/2012Wednesday, 09/05/2012

1.1. Use today’s bell ringer space to answer this question. Use today’s bell ringer space to answer this question. Update your table of contents for today’s handoutsUpdate your table of contents for today’s handouts

List the following (based on your prior knowledge):List the following (based on your prior knowledge):

a) Where do public schools get their money a) Where do public schools get their money fromfrom? ? (Revenues of public schools)(Revenues of public schools)

b) What do public schools spend money on?b) What do public schools spend money on?

(Expenses of public schools)(Expenses of public schools)

TODAY’S HANDOUTSTODAY’S HANDOUTS• #5 – 9/6/12 – CPS Budget#5 – 9/6/12 – CPS Budget

• #6 – 9/6/12 – CPS Budget: Reading Questions#6 – 9/6/12 – CPS Budget: Reading Questions

Pre-Calculus Bell RingerPre-Calculus Bell RingerThursday, 09/06/2012Thursday, 09/06/2012

1.1. Use today’s bell ringer space to answer this question. Update Use today’s bell ringer space to answer this question. Update your table of contents for today’s handoutsyour table of contents for today’s handouts

Assume both stores are selling the same thing that you Assume both stores are selling the same thing that you want. Which store would you buy from? want. Which store would you buy from? (Show your work and explain your reasoning)(Show your work and explain your reasoning)

a)a) b)b)

OFF ORIGINAL PRICEOFF ORIGINAL PRICE ONLY $10.50ONLY $10.50 $20$20 LIMITED TIME OFFER! LIMITED TIME OFFER!

TODAY’S HANDOUTSTODAY’S HANDOUTS• #7 – 9/7/12 – Article: Spending Gap#7 – 9/7/12 – Article: Spending Gap

Pre-Calculus Bell RingerPre-Calculus Bell RingerFriday, 09/07/2012Friday, 09/07/2012

1.1. Use today’s bell ringer space to answer this question. Update your Use today’s bell ringer space to answer this question. Update your table of contents for today’s handoutstable of contents for today’s handouts

a. Use complete sentences. What are revenues and a. Use complete sentences. What are revenues and expenses and how are they related to school funding?expenses and how are they related to school funding?

b. Find the missing numbers/letters in the sequence b. Find the missing numbers/letters in the sequence 1.1. J, F, M, A, M, J, J, A, ____, ____, ____, ____J, F, M, A, M, J, J, A, ____, ____, ____, ____

(Hint: how many total values in this set?)(Hint: how many total values in this set?)

2. 2. 1, 1, 2, 3, 5, ___ , ____ , ____1, 1, 2, 3, 5, ___ , ____ , ____http://www.youtube.com/watch?v=03uC9bhX0Rc&feature=relatedhttp://www.youtube.com/watch?v=03uC9bhX0Rc&feature=related

http://www.mathsisfun.com/numbers/fibonacci-sequence.htmlhttp://www.mathsisfun.com/numbers/fibonacci-sequence.html

TODAY’S HANDOUTSTODAY’S HANDOUTS• #8 – 9/19/12 – Bell Ringer (9/19-9/21)#8 – 9/19/12 – Bell Ringer (9/19-9/21)

• #10 – 9/19/12 – Graphing Practice#10 – 9/19/12 – Graphing Practice


1.1. Use today’s bell ringer space to answer this question. Update Use today’s bell ringer space to answer this question. Update your table of contents for today’s handoutsyour table of contents for today’s handouts

1. You spend the following money in a month. Rounded to the 1. You spend the following money in a month. Rounded to the nearest percent, rent is what percent of your expenses? nearest percent, rent is what percent of your expenses?

TODAY’S HANDOUTSTODAY’S HANDOUTS• #10 – 9/20/12 – Functions 4 Representations Notes #10 – 9/20/12 – Functions 4 Representations Notes

(looseleaf you will create)(looseleaf you will create)


Expense Amount

Rent $800

Utilities and Bills

$150

Food $150

Other $100

1.1. Using complete sentences, write a word splash (short Using complete sentences, write a word splash (short paragraph) explaining how you remember the paragraph) explaining how you remember the following key terms are connected. You may use a following key terms are connected. You may use a diagram to support your writing. diagram to support your writing.

Pre-CalculusPre-CalculusThursday, 09/20/2012Thursday, 09/20/2012

Function Input Output

Rule Domain Range

Coordinate Plane Data Table Equation

Independent Variable

Dependent Variable

Four Representations

1.1. Use today’s bell ringer space to answer this question. Use today’s bell ringer space to answer this question. 2.2. Update your table of contents for today’s handoutsUpdate your table of contents for today’s handouts

Find the missing values and write a description of the rule for Find the missing values and write a description of the rule for the in/out table below. Try to come up with the equation that the in/out table below. Try to come up with the equation that represents the functional rule.represents the functional rule.

TODAY’S HANDOUTSTODAY’S HANDOUTS• #12 – 9/21/12 – Functions Packet#12 – 9/21/12 – Functions Packet


In (Independe

nt)

Out (Dependent

)

2 4

4 10

6 16

8 22

12

43

1.1. Using complete sentences, write a word splash (short Using complete sentences, write a word splash (short paragraph) explaining how you remember the following paragraph) explaining how you remember the following key terms are connected. You may use a diagram to key terms are connected. You may use a diagram to support your writing. support your writing.

Pre-CalculusPre-CalculusFriday, 09/21/2012Friday, 09/21/2012

Function Input Output

Rule Domain Range

Coordinate Plane Data Table Equation

Independent Variable

Dependent Variable

Four Representations

Update your table of contents for today’s handoutsUpdate your table of contents for today’s handouts

1. The graph below is for a function. Represent the function 1. The graph below is for a function. Represent the function in three other ways (in/out data table, equation, describe rule):in three other ways (in/out data table, equation, describe rule):

TODAY’S HANDOUTSTODAY’S HANDOUTS• #13 – 9/24/12 – Bell Ringer#13 – 9/24/12 – Bell Ringer

• #14 – 9/24/12 – SIT: Marcella’s Bagels#14 – 9/24/12 – SIT: Marcella’s Bagels• #15 – 9/24/12 – Practice Problems#15 – 9/24/12 – Practice Problems

Pre-Calculus Bell RingerPre-Calculus Bell RingerMonday, 09/24/2012Monday, 09/24/2012

Update your table of contents for today’s handoutsUpdate your table of contents for today’s handouts 1. 1. The graph below is for a function. Represent the function in The graph below is for a function. Represent the function in

three other ways (in/out data table, equation, describe rule):three other ways (in/out data table, equation, describe rule):

TODAY’S HANDOUTSTODAY’S HANDOUTS• #15 – Function Rules: Model Real World#15 – Function Rules: Model Real World


.

.

.

.

.

.

1.1. Your domain is distance in yards. Your range is distance in Your domain is distance in yards. Your range is distance in inches. Using this information, inches. Using this information, describe the rule, create an describe the rule, create an in/out table, and construct an equationin/out table, and construct an equation to represent this to represent this mathematical relationshipmathematical relationship


TODAY’S HANDOUTSTODAY’S HANDOUTS• #16 – RAFT Letter: School Funding#16 – RAFT Letter: School Funding

1.1. For Service Learning Hours, Sahara and Patrick collected cans For Service Learning Hours, Sahara and Patrick collected cans to recycle. Sahara collected a total of sixty-three cans, which to recycle. Sahara collected a total of sixty-three cans, which is five fewer than double the number of cans collected by is five fewer than double the number of cans collected by Patrick. How many cans did Patrick collect?Patrick. How many cans did Patrick collect?

(Hint: what are you looking for? That is your unknown.)(Hint: what are you looking for? That is your unknown.)


TODAY’S HANDOUTSTODAY’S HANDOUTS• #16 – RAFT Letter: School Funding#16 – RAFT Letter: School Funding


TODAY’S HANDOUTSTODAY’S HANDOUTS• #17 – Bell Ringer (10/1-10/5)#17 – Bell Ringer (10/1-10/5)• #18 – Notes: Linear Functions#18 – Notes: Linear Functions• #19 – Linear Functions Packet#19 – Linear Functions Packet

1.1. World Fitness offers a discount to get more World Fitness offers a discount to get more members to sign up. Regular membership members to sign up. Regular membership costs $65 per month plus a $50 activation costs $65 per month plus a $50 activation fee. The “Get Ready for Summer Discount” fee. The “Get Ready for Summer Discount” is for 20% off the regular monthly is for 20% off the regular monthly membership fee and they waive (membership fee and they waive (you don’t you don’t have to pay)have to pay) the activation fee. How much the activation fee. How much is a 6-month membership with the “Get is a 6-month membership with the “Get Ready for Summer Discount”? Ready for Summer Discount”?

a)a) $13$13

b)b) $50$50

c)c) $52$52

d)d) $78$78

e)e) $312$312


1.1. This season, the Bulls will win fifteen less than This season, the Bulls will win fifteen less than double the number of games they won last year. If double the number of games they won last year. If the Bulls will win fifty-five games this year , how the Bulls will win fifty-five games this year , how many games did they win last season?many games did they win last season?

BUY AND BRING A DRY ERASE MARKER TO CLASS AS BUY AND BRING A DRY ERASE MARKER TO CLASS AS PART OF YOUR MATERIALS (SO WE CAN USE MINI PART OF YOUR MATERIALS (SO WE CAN USE MINI DRY ERASE BOARDS FOR PROBLEMS IN CLASS)DRY ERASE BOARDS FOR PROBLEMS IN CLASS)


1.1. Lisa’s cell phone plan costs $26.99 per month plus a Lisa’s cell phone plan costs $26.99 per month plus a fee per text message sent. Last month, her bill was fee per text message sent. Last month, her bill was $34.99, which included $2.50 tax. If she sent 550 text $34.99, which included $2.50 tax. If she sent 550 text messages, how much did each text message cost?messages, how much did each text message cost?

BUY AND BRING A DRY ERASE MARKER TO CLASSBUY AND BRING A DRY ERASE MARKER TO CLASS


1.1. Detroit Tigers’s Miguel Cabrera won the first Triple Crown Detroit Tigers’s Miguel Cabrera won the first Triple Crown since 1967. He led the AL in Home Runs, Batting Average and since 1967. He led the AL in Home Runs, Batting Average and RBI. Miguel had 44 Home Runs, 139 RBI and a .331 Batting RBI. Miguel had 44 Home Runs, 139 RBI and a .331 Batting Average. The Tigers hit 163 total Home Runs in 2012. Average. The Tigers hit 163 total Home Runs in 2012. Miguel’s Home Runs are what percent of the team’s total?Miguel’s Home Runs are what percent of the team’s total?

2.2. Since July 1, Vasu’s team, the Oakland A’s have 58 wins and Since July 1, Vasu’s team, the Oakland A’s have 58 wins and 26 losses. What is Oakland’s winning percentage? (26 losses. What is Oakland’s winning percentage? (what what percent of the team’s games did Oakland win?)percent of the team’s games did Oakland win?)

Pre-Calculus Pre-Calculus Thursday, 10/04/2012Thursday, 10/04/2012

To receive text reminders from Mr. Vasu To receive text reminders from Mr. Vasu for for

Pre-Calculus:Pre-Calculus:

Text the message @vasumath to Text the message @vasumath to

(720)-924-4156. (720)-924-4156.

Standard messaging rates apply.Standard messaging rates apply.


1.1. Complete the Self-Reflection on your Bell Ringer and Turn-in Complete the Self-Reflection on your Bell Ringer and Turn-in to the boxto the box

2. Clear your desks to get ready for Quiz #12. Clear your desks to get ready for Quiz #1

Pre-Calculus Pre-Calculus Friday, 10/05/2012Friday, 10/05/2012

1.1. QUIZ #1 CHALLENGE PROBLEM (Solve for extra credit on QUIZ #1 CHALLENGE PROBLEM (Solve for extra credit on separate sheet of paper with your name on it)separate sheet of paper with your name on it)

Evaluate an expression that gives 100 using Evaluate an expression that gives 100 using onlyonly four 9s and any of the operations four 9s and any of the operations

2. Finish your Packets (#19) and Turn-in to the 2. Finish your Packets (#19) and Turn-in to the boxbox


1.1. Rosetta plans to expand her flower garden. She has 10 plants Rosetta plans to expand her flower garden. She has 10 plants in her flower garden to start with at the end of May. She in her flower garden to start with at the end of May. She plans to add 5 plants each week starting in June. She wants plans to add 5 plants each week starting in June. She wants to model a function to figure out how many plants she has in to model a function to figure out how many plants she has in her garden.her garden.

1.1. What are the variables that are changing?What are the variables that are changing?

2.2. What is her domain? What is her domain?

3.3. What is her range?What is her range?

4.4. Try to write an equation for the situationTry to write an equation for the situation

5.5. What is the rate of change?What is the rate of change?

TODAY’S HANDOUTSTODAY’S HANDOUTS• #21 – Bell Ringer (10/8-10/12)#21 – Bell Ringer (10/8-10/12)• #22 – Notes: Linear Functions 2#22 – Notes: Linear Functions 2• #23 – Linear Functions 2 Packet#23 – Linear Functions 2 Packet

X Y


1.1. Rosetta plans to expand her flower garden. She has 10 plants Rosetta plans to expand her flower garden. She has 10 plants in her flower garden to start with at the end of May. She in her flower garden to start with at the end of May. She plans to add 5 plants each week starting in June. She wants plans to add 5 plants each week starting in June. She wants to model a function to figure out how many plants she has in to model a function to figure out how many plants she has in her garden.her garden.

1.1. What are the variables that are changing?What are the variables that are changing?

2.2. What is her domain? What is her domain?

3.3. What is her range?What is her range?

4.4. What is the rate of change (slope in word problems)?What is the rate of change (slope in word problems)?

TODAY’S HANDOUTSTODAY’S HANDOUTS• #21 – Bell Ringer (10/8-10/12)#21 – Bell Ringer (10/8-10/12)

X Y


1.1. You have decided to study abroad in Guatemala and you want You have decided to study abroad in Guatemala and you want to know what kind of clothes to bring. The weather forecast to know what kind of clothes to bring. The weather forecast says it is 15 degrees Celsius. says it is 15 degrees Celsius.

You know there is a linear relationship between degrees Celsius You know there is a linear relationship between degrees Celsius and Fahrenheit.and Fahrenheit.

• Use the following table to find the equation of the linear Use the following table to find the equation of the linear functionfunction

• In Guatemala, what is the temperature in Fahrenheit?In Guatemala, what is the temperature in Fahrenheit?• Should you bring a jacket or shorts?Should you bring a jacket or shorts?

Celsius(Domain)

Fahrenheit

(Range)

0º 32º

40º 104º


1.1. The weather forecast says it is 15 degrees Celsius. You know The weather forecast says it is 15 degrees Celsius. You know there is a linear relationship between degrees Celsius and there is a linear relationship between degrees Celsius and Fahrenheit.Fahrenheit.

• What is your x variable?What is your x variable?• What is your y variable?What is your y variable?

• Find the equation of the linear functionFind the equation of the linear function• Step 1: Calculate SlopeStep 1: Calculate Slope• Step 2/3: Solve for BStep 2/3: Solve for B• Step 4: Plug-in m, b and Step 4: Plug-in m, b and

re-write y = mx+bre-write y = mx+b

Celsius(Domain)

Fahrenheit

(Range)

0º 32º

40º 104º


1.1. Before he starts working, Homer has $500 in his account. He Before he starts working, Homer has $500 in his account. He gets paid $1500 every two weeks. gets paid $1500 every two weeks.

1.1. Is time or money the independent variable?Is time or money the independent variable?

2.2. Find the equation of the linear functionFind the equation of the linear function

3.3. What is the rate of change? The y-intercept?What is the rate of change? The y-intercept?

X Y


• Cell phone plans can be modeled using linear functions. Some Cell phone plans can be modeled using linear functions. Some companies charge a fee based on how many minutes you talk companies charge a fee based on how many minutes you talk on the phone. Most companies will charge a flat fee, which you on the phone. Most companies will charge a flat fee, which you will pay even if you talk for zero minutes.will pay even if you talk for zero minutes.

a)a) What are the two variables that are changing?What are the two variables that are changing?

b)b) Which one is the independent variable/domain?Which one is the independent variable/domain?

c)c) Which one is the dependent variable/range?Which one is the dependent variable/range?

d)d) How would you describe the rate of change (y per x)? How would you describe the rate of change (y per x)?

e)e) What could be the y-intercept? (remember, x=0 at the y-int)What could be the y-intercept? (remember, x=0 at the y-int)

TODAY’S HANDOUTSTODAY’S HANDOUTS• #25 – Bell Ringer (10/15-10/19)#25 – Bell Ringer (10/15-10/19)

• #26 – Multistep Equations#26 – Multistep Equations

1.1. Find the equation of the linear functionFind the equation of the linear function. How much would it . How much would it cost if you talked for 500 minutes? cost if you talked for 500 minutes? (y = mx + b)(y = mx + b)

• You pay $0 flat fee plus the following fees per minuteYou pay $0 flat fee plus the following fees per minute

Time (Minutes)

Cost ($)

100 10

200 20

Pre-Calculus ClassworkPre-Calculus ClassworkMonday, 10/15/2012Monday, 10/15/2012

1.1. You are choosing a cell phone plan. You are choosing a cell phone plan. Find the equation of the Find the equation of the linear function for each planlinear function for each plan. Which plan will you choose if . Which plan will you choose if you make 500 minutes of calls a month? you make 500 minutes of calls a month? (y = mx + b)(y = mx + b)

• PLAN A: BOOSTPLAN A: BOOST $50 flat fee for unlimited text $50 flat fee for unlimited text and calling. No fee per and calling. No fee per

minute.minute.

• PLAN B: AttPLAN B: Att

• PLAN C: SPRINTPLAN C: SPRINT $25 flat fee, plus $0.03 for $25 flat fee, plus $0.03 for every minute of callingevery minute of calling

Time (Minutes)

Cost ($)

100 10

200 20

500 50

1000 100

Pre-Calculus ClassworkPre-Calculus ClassworkMonday, 10/15/2012Monday, 10/15/2012

Pre-Calculus Quiz Review Pre-Calculus Quiz Review Monday, 10/15/2012Monday, 10/15/2012

1.1. Huda and Jaana went to eat. Use this receipt to answer the Huda and Jaana went to eat. Use this receipt to answer the questions.questions.

a) Huda is super hungry and orders a) Huda is super hungry and orders a sandwich and a pizzaa sandwich and a pizza. . Rounded to the nearest percent, Rounded to the nearest percent, her food is what percent of her food is what percent of the total meal costthe total meal cost??

b) b) TheyThey decide to leave a tip of decide to leave a tip of 17% of the total meal cost17% of the total meal cost. . Including tipIncluding tip, how much do they pay?, how much do they pay?

Food Item Cost Sandwich $5.95

Pizza $3.50 Chips $2.00

Drinks $5.05 Total Cost

%_ = _a_

100 b


3.3. Graph the following equation of a linear function. What is the Graph the following equation of a linear function. What is the slope and y-intercept?slope and y-intercept?

y = -4x + 8y = -4x + 8

Slope = m =

Y-Int = b =


4. It takes Mr. Vasu 45 4. It takes Mr. Vasu 45 minutesminutes to drive to the United Center. If to drive to the United Center. If his average speed was 18 miles per his average speed was 18 miles per hourhour, how far away is the , how far away is the United Center?United Center?

How many hours is Mr. Vasu driving?

How many miles does he drive?


5. Find the equation of the line in the graph (y = mx + b)5. Find the equation of the line in the graph (y = mx + b)

( , ) .

.

( , )


6.6. In 2009, Mr. Vasu climbed a mountain in Bolivia with a 20,000ft In 2009, Mr. Vasu climbed a mountain in Bolivia with a 20,000ft summit. Base camp, where he started, is at 14,000ft above sea summit. Base camp, where he started, is at 14,000ft above sea level. After climbing for eight hours, he was 17,000ft high.?level. After climbing for eight hours, he was 17,000ft high.?

a)a) At what rate (of change) is he climbing up the mountain?At what rate (of change) is he climbing up the mountain?

b)b) What is the equation for the linear function of how high Mr. What is the equation for the linear function of how high Mr. Vasu is on the mountain? (y=mx+b)Vasu is on the mountain? (y=mx+b)

(Hint: What does rate of change mean? What units?)

(Hint: What words tell us when we are at 0 hours?)



c) How many hours did it take him to reach the summit? c) How many hours did it take him to reach the summit?

y = 375x + 14000y = 375x + 14000 How high is the summit? Is this x or y?How high is the summit? Is this x or y?

( x , 20,000ft )


At the start of the race, a racecar has 45 gallons in its gas At the start of the race, a racecar has 45 gallons in its gas tank. After driving 90 miles, there are 30 gallons left in the tank. After driving 90 miles, there are 30 gallons left in the tank. tank.

1.1. Find the equation of the linear functionFind the equation of the linear function (y = mx + b)(y = mx + b)

Gallon (x) Miles (y)

30

0

Pre-Calculus ClassworkPre-Calculus ClassworkTuesday, 10/16/2012Tuesday, 10/16/2012

• Work on #26 Multi-Step Equations1. Monday On Pace: #1-10

2. Tuesday On Pace: #9-20

3. DUE END OF CLASS

• When worksheet is completed, work on Tax/Tip problems worksheet (DUE THURS)

• If you need a copy, get it from the front of the class

Pre-Calculus Per. 8 ClassworkPre-Calculus Per. 8 ClassworkTuesday, 10/16/2012Tuesday, 10/16/2012

• Work on #26 Multi-Step Equations1. Tuesday On Pace: #1-4 (FOR EXIT STAMP)

2. Wednesday On Pace: #5-12 (FOR EXIT STAMP)

3. DUE FRIDAY: #1-20

• Use the examples from your notes!!!!


At the beginning of the year, you have $500 in your bank At the beginning of the year, you have $500 in your bank account. Every month, you deposit $1500 in your bank account. Every month, you deposit $1500 in your bank account. account.

1.1. Find the equation of the linear function for money in your Find the equation of the linear function for money in your account based on the number of months (y = mx + b)account based on the number of months (y = mx + b)

2.2. How many months will it take to have $9,500? How many months will it take to have $9,500?

Months (x) Y

0

1

TODAY’S HANDOUTSTODAY’S HANDOUTS• #27 – 10/19 – Quiz #3#27 – 10/19 – Quiz #3

• #28 – 10/17 – Notes: Systems of Equations 1#28 – 10/17 – Notes: Systems of Equations 1• #29 – 10/17 – Systems of Equations Packet 1#29 – 10/17 – Systems of Equations Packet 1


At the beginning of the year, you have $500 in your bank At the beginning of the year, you have $500 in your bank account. Every month, you deposit $1500 in your bank account. Every month, you deposit $1500 in your bank account. account.

1.1. Find the equation of the linear function for money in your Find the equation of the linear function for money in your account based on the number of months (y = mx + b)account based on the number of months (y = mx + b)

2.2. How many months will it take to have $9,500? How many months will it take to have $9,500?

Months (x) Y

0

1

TODAY’S HANDOUTSTODAY’S HANDOUTS• #26 – Multistep Equations Notes & Worksheet#26 – Multistep Equations Notes & Worksheet


1.1. Solve for the variable:Solve for the variable:a. a. 5x – 15 = 10x + 85 5x – 15 = 10x + 85

b. b. Remember: Distribute and Combine Remember: Distribute and Combine like like terms firstterms first

4(-2j + 5) = 5j + 2j – 5j + 104(-2j + 5) = 5j + 2j – 5j + 10

Pre-Calculus Quiz Review Pre-Calculus Quiz Review Thursday, 10/18/2012Thursday, 10/18/2012

1.1. Huda and Jaana went to eat. Use this receipt to answer the Huda and Jaana went to eat. Use this receipt to answer the questions.questions.

a) Huda is super hungry and orders a) Huda is super hungry and orders a sandwich and a pizzaa sandwich and a pizza. . Rounded to the nearest percent, Rounded to the nearest percent, her food is what percent of her food is what percent of the total meal costthe total meal cost??

b) b) TheyThey decide to leave a tip of decide to leave a tip of 17% of the total meal cost17% of the total meal cost. . Including tipIncluding tip, how much do they pay?, how much do they pay?

Food Item Cost Sandwich $5.95

Pizza $3.50 Chips $2.00

Drinks $5.05 Total Cost

%_ = _a_

100 b

3.3. Graph the following equation of a linear function. What is the Graph the following equation of a linear function. What is the slope and y-intercept?slope and y-intercept?

y = -4x + 8y = -4x + 8

Slope = m =

Y-Int = b =


4. It takes Mr. Vasu 45 4. It takes Mr. Vasu 45 minutesminutes to drive to the United Center. If to drive to the United Center. If his average speed was 18 miles per his average speed was 18 miles per hourhour, how far away is the , how far away is the United Center?United Center?

How many hours is Mr. Vasu driving?

How many miles does he drive?


5. Find the equation of the line in the graph (y = mx + b)5. Find the equation of the line in the graph (y = mx + b)

( , ) .

.

( , )



a)a) At what rate (of change) is he climbing up the mountain?At what rate (of change) is he climbing up the mountain?

b)b) What is the equation for the linear function of how high Mr. What is the equation for the linear function of how high Mr. Vasu is on the mountain? (y=mx+b)Vasu is on the mountain? (y=mx+b)

(Hint: What does rate of change mean? What units?)

(Hint: What words tell us when we are at 0 hours?)



c) How many hours did it take him to reach the summit? c) How many hours did it take him to reach the summit?

y = 375x + 14000y = 375x + 14000 How high is the summit? Is this x or y?How high is the summit? Is this x or y?

( x , 20,000ft )



Keona decides to open a CVS store. It costs her $15,000 to Keona decides to open a CVS store. It costs her $15,000 to set the store up. Every month, she earns $1,250 in revenue. set the store up. Every month, she earns $1,250 in revenue. How much money she earns is a function of how many How much money she earns is a function of how many months the store is open. months the store is open.

a. Why is y a negative number when x = 0?a. Why is y a negative number when x = 0?b. What is the equation of the function? b. What is the equation of the function?

Months (x) $ Earned (y)

0 -15000

1

TODAY’S HANDOUTSTODAY’S HANDOUTS• #28 – 10/29 – Notes: Systems of Equations 1#28 – 10/29 – Notes: Systems of Equations 1

• #29 – 10/29 – Systems of Equations Packet 1#29 – 10/29 – Systems of Equations Packet 1• #30 – 10/29 – Bell Ringer (10/29-11/02)#30 – 10/29 – Bell Ringer (10/29-11/02)


Keona decides to open a CVS store. It costs her $15,000 to Keona decides to open a CVS store. It costs her $15,000 to set the store up. Every month, she earns $1,250 in revenue. set the store up. Every month, she earns $1,250 in revenue. How much money she earns is a function of how many How much money she earns is a function of how many months the store is open. What is the equation of the months the store is open. What is the equation of the function? How many months will it take Keona to make back function? How many months will it take Keona to make back the $15,000 it took to set up the store?the $15,000 it took to set up the store?

TODAY’S HANDOUTSTODAY’S HANDOUTS• #30 – 10/29 – Bell Ringer (10/29-11/02)#30 – 10/29 – Bell Ringer (10/29-11/02)

• #31 – 10/29 – Systems of Equations Packet 2#31 – 10/29 – Systems of Equations Packet 2


1.1. Solve for the value of the unknown:Solve for the value of the unknown:

4(5 – 2x) = -20 + 2x 4(5 – 2x) = -20 + 2x

2.2. What is the slope and y-intercept of the following equation of What is the slope and y-intercept of the following equation of a linear function:a linear function:

y = -5x – 17 y = -5x – 17


1.1. Find the solution to the following systems of equations:Find the solution to the following systems of equations:

a. a. y = 2x + 5y = 2x + 5 b.b. y = 3x + 5y = 3x + 5y = x + 10y = x + 10 2x + 2y = 262x + 2y = 26

2.2. What is the slope and y-intercept of the following equation of What is the slope and y-intercept of the following equation of a linear function:a linear function:

y = -5x – 17 y = -5x – 17


1.1. Solve the systems of equations:Solve the systems of equations:a. a. Y = 3x + 5Y = 3x + 5 b. 3x – 2y = 25b. 3x – 2y = 25

2x – 4y = 1002x – 4y = 100 -6x + 2y = 29 -6x + 2y = 29


1.1. Solve the systems of equations:Solve the systems of equations:Y = 8x + 5Y = 8x + 5

y = 3x + 15y = 3x + 15


1.1. Find the solution to the systems of equations:Find the solution to the systems of equations:Y = 4x + 15Y = 4x + 15

y = -11x + 300y = -11x + 300

TODAY’S HANDOUTSTODAY’S HANDOUTS• #32 – 11/01 – Review Packet#32 – 11/01 – Review Packet

• #33 – 11/01 - Quiz 4#33 – 11/01 - Quiz 4


1.1. Find the solution to the systems of equations:Find the solution to the systems of equations:

a. Y = 4x + 15a. Y = 4x + 15 b. 3x – 5y = 25b. 3x – 5y = 25 c. 7x + 5y = 50c. 7x + 5y = 50 y = -11x + 300y = -11x + 300 -3x + 8y = -28 -3x + 8y = -28 y = -3x + 2 y = -3x + 2



1.1. Find the solution to the systems of equations:Find the solution to the systems of equations:Y = 4x + 15Y = 4x + 15

y = -11x + 300y = -11x + 300


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