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A real life mathematical experience
Teaching decimals is brought to life with this real life experience of paying bills and managing a checkbook. This unit integrates literature, music, and cooperative learning into middle school mathematics. Students will learn to use decimals, percents, and make predictions about their own spending.
This unit was designed by:
Kristen Commisso: HYPERLINK "mailto:kcommi71@scsd.us" kcommi71@scsd.us
Cheri Heron: HYPERLINK "mailto:cheron57@scsd.us" cheron57@scsd.us
Grant Middle School- Syracuse New York
In association with Syracuse University College
BILLS !!
BILLS !!
BILLS !!
A real-life math unit for 6th grade
Lesson # 1
Title: Introduction to money
Educational Objective: The students will be able to express their understanding of where money comes from and how it is used.
Strategies:
Teacher read aloud
Pair/Share problem solving
Group Discussion
Learning Log
Standards:
Listening for understanding
Making Predictions
Calculating Decimals-addition, subtraction
Peer tutoring
Approximate Time: 50 minutes
Materials:
Book-The Go Around Dollar
Vocabulary overhead
Money, Money, Money- problem sheet
Learning Log
Music (optional)
Introduction:
The students copy the vocabulary terms in their notebooks from the overhead. Terms to discuss are: salary, wage, and currency.
Music: Cant Buy Me Love- The Beatles
Launch:
Teacher reads aloud to the class the book The Go Around Dollar to generate discussion about how money is made and distributed to the public. Other possible topics may include the new security measures that are now evident on our 20, 50 and 100 dollar bills.
Explore:
The teacher will present a problem in which the students must calculate how much money a person would make in a week if he/she worked at McDonalds for 40 hours a week at a rate of $6.75 an hour. How much would someone make for the month? What if the government took taxes out of the paycheck at a rate of 30%? Each student will
make his/her own prediction and record the information. The students will then work in pairs in order to check each others work.
Regroup and Redirect:
After sufficient work time the groups would come together to discuss their answers. A discussion may also evolve as to why the government taxes the money that a person makes at their job.
Assessment:
The students will individually record in their learning log at least three things that they have learned from todays lesson.
Modifications:
Since the students will be working in groups they may be paired with another student or teacher assistant to help with solving word problems. The problems may be modified and a calculator could be provided.
Learning Log
Directions: In the space below record the new information that you are adding to your knowledge bank.
Monday:
Tuesday:
Wednesday:
Thursday:
Friday:
What was the most valuable information that you learned this week?
Vocabulary
Salary- the money that a person earns for a given number of hours that he/she works.
Wage- an hourly amount that a person earns at their job. New York State minimum wage: $_____
Currency- coins or bills that are an accepted form of money.
Money, Money, Money
If Amy works at McDonalds and she earns $6.75 an hour how much money will she make in a day? How much will she make in a week? How much will she make in a month? Make your predictions below.
A Day __________
A Week __________
A Month __________
Now solve for the answers. Be sure to show your work and check with your partner.
A Day-
A Week-
A month-
How much money would Amy have for the month if the government took away 30% in taxes?
Lesson: #2
Title: Banking
Educational Objective: The students will be able to construct a K-W-L chart to record information about banking.
Strategies:
Listening for understanding
Questioning and discussion
Completing a graphic organizer
Cooperative Groups
Standards:
Discuss units of measure
Calculate percentages
Listening, speaking, reading, and writing for information and understanding
Approximate Time: 50 minutes
Materials:
Visitor/ Presenter from a local bank or related field
Bank related props-deposit slips, bank statements, checks, etc.
Book- Banks
Vocabulary overhead
Music (optional)
Introduction:
Students will copy the vocabulary terms into their notebook. Terms to discuss: bank statement, checking account, credit card.
Music: Bills, Bills, Bills By Destinys Child
Launch:
The students will record in their small groups what they already know about banking and how banking procedures work. They will also generate questions about what they want to learn about banking. The presenter will then read the book Banks and discuss with students.
Explore:
The presenter will ask the students what they already know about banking and related topics. He/ She will then give a brief description of their job and related duties. The students may then ask questions about banking procedures. The presenter may then explain props and circulate them for the students to observe.
Regroup and Redirect:
The students may then discuss what they have learned and complete the K-W-L chart. The student should then complete day 2 of their learning log. Teacher will then assign homework (outside assessment).
Assessment:
The teacher may make informal assessments based on the questioning and discussion generated by the presentation. The completion of the K-W-L chart and learning log may also be used as assessments.
Outside Assessment: The students will answer the following on loose leaf paper to be handed in the following class.
Explain how a checking account is set up. What are the banks responsibilities? What are your responsibilities?
Modifications:
Peer tutoring to help with spelling or generating a list of questions.
Name ___________________________________________Date ________________
Math Block ____________
Bills, Bills, Bills
K
What I Know
W
What I Want To Learn
L
What I Have Learned
Vocabulary
bank statement- written record of what happens to the money a person keeps in the bank.
checking account- service offered by a bank that lets people use their money without carrying cash.
credit card- thin, plastic bank card that lets someone buy something and pay for it later.
Lesson: # 3
Title: Training students on how to write checks and pay bills.
Educational Objective: The students will be able to correctly fill out a check and record the correct adjustment in their check register.
Strategies:
Listening for understanding
Direct instruction
Modeling
Pair/Share
Independent work
Standards:
Explore and produce graphic representations of data using calculators
Develop critical judgment for the reasonableness of measurement
Use math patterns and functions to solve problems
Understand the role of place value
Use computational skills
Approximate Time: 50 minutes
Materials:
Vocabulary Overhead
Book- If You Made A Million
Video Clip- Catch Me If You Can (optional)
Homework sheet- Big Bucks For You
Overheads- blank check, a check register, and homework sheets
Prior Knowledge:
Adding and subtracting decimals
Introduction:
The students will copy vocabulary terms into their notebook. Terms to discuss: budget, savings account, and transaction. The students will then view video clip of Tom Hanks explaining routing numbers on a check.
Launch:
The teacher will read aloud to the class the book If You Made A Million. Some possible think aloud questions could be What are some combinations for making 37cents? How many pennies are there in a million dollars? How would you explain what interest means? How is it possible for the bank to loan money to people?
Explore:
Now is the time for a little direct instruction. Students should record any notes in their notebooks. Teacher should review adding and subtracting decimals. The teacher will then explain the activity for next class requires some prep work. During the activity the students will be given a checking account and several bills to pay. Topics to discuss may include setting up a budget, the importance of accuracy, and record keeping. The teacher will model how to correctly fill out a check and record it in the register. The teacher should use sample problems from the homework- Big Bucks For You and present material using the overheads.
Assessment:
The students should then complete the homework Big Bucks For You. They may work individually or in pairs to check answers.
Modifications:
Students will special needs may work with partners and use a calculator to check their work.
Special Note: Prior to Lesson #4 the teacher may need to train several students (up to 6) to be bill collectors. The training should include: setting up their station, accepting payments that are completed correctly, and marking paid on the students record sheets. This may be completed while other students are completing their work or possibly during lunch so as to have fewer interruptions. This may take approximately ˝ hour. The teacher may even consider using the same bill collectors in others classes or those students may provide extra help to others who are struggling.
Vocabulary
budget- a plan for using money.
List ideas to consider when making a budget:
6.
7.
8.
9.
10.
savings account- a sum of money that earns interest from a bank.
transaction- business deal done with a bank.
Lesson #4
Title: Paying your bills
Educational Objective: The students will be able to add and subtract different decimal amounts in order to properly manage their checkbook.
Strategies:
Cooperative learning
Prior knowledge
Peer tutoring and editing
Standards:
Reading, writing, speaking, listening for information
Reading, writing, speaking, listening for social interaction
Mathematical computation
Problem solving
Calculator skills
Approximate Time: 80 minutes
Materials:
Book-Mon$ter Money Book by-Loreen Leedy
Copies of payment checks (Mc Donalds)
Copies of bills (Niagara Mohawk, Verizon, Water Authority, Allstate, General Motors,
Mortgage, Cable Company)
Copies of Bills, Bills, Bills checklist sheet
Copies of check transaction sheets
Bank deposit sheets (obtain from local bank)
Seven PAID stamps
Calculators
Signs and name badges for 7 bill collectors
Introduction:
The teacher will read aloud Mon$ster Money Book to the class and ask questions to generate discussion. The teacher will also need to take 3-5 minutes to review adding and subtracting decimals.
Launch:
The teacher will distribute copies of all of the bills, paychecks, deposit slips, and check transaction sheets. The students may work in pairs or individually to pay all of their bills. Each student must have their Bills, Bills, Bills Checklist sheet stamped PAID after each bill is paid and double checked by the bill collector to make sure that the calculations are correct. Calculators should be used to check the accuracy of each transaction.
Explore:
The students will gather all of their materials and travel to each station to pay their bills. Each transaction will be stamped and checked by the bill collectors before another transaction can be made. Only one bill can be paid at a time and bills may be paid in any order.
Regroup and Redirect:
The class should come together and discuss their answers and experiences of paying bills.
Assessment:
The students will be assessed on their ability to complete the activity. A holistic grade will be given on their participation and accuracy. Some minor mistakes may have been made but the lesson and activity are designed to catch mistakes so that students are able to make corrections.
Modifications:
Students may use calculator to solve and check their answers. Special student helpers may be used to help students that are having difficulty. Most students choose to participate due to the interaction and realistic feel of actually paying bills. It is also an option to have a modified list of bills to pay.
GM general motors Account Number:
600 Automobile Row 41837463-00
Syracuse, NY 12000
Monthly Payment - $321.18
Amount past due - $ 0.00 Amount paid $__________
Total payment due - $321.18
_______________________________________________________
GM general motors Account Number:
600 Automobile Row 41837463-00
Syracuse, NY 12000
Monthly Payment - $321.18
Amount past due - $ 0.00 Amount paid $__________
Total payment due - $321.18
_______________________________________________________GM general motors Account Number:
600 Automobile Row 41837463-00
Syracuse, NY 12000
Monthly Payment - $321.18
Amount past due - $ 0.00 Amount paid $__________
Total payment due - $321.18
_______________________________________________________
M&T Bank Mortgage Department
34 Salina St.
Syracuse, NY 13206
Mortgage payment for residence at: 2400 Grant Blvd.
Syracuse, NY 13208
Payment Amount $ 836.54
Late Fee $ 25.oo - if mailed after 9/1
Total Amount Paid $______________
__________________________________________________________________M&T Bank Mortgage Department
34 Salina St.
Syracuse, NY 13206
Mortgage payment for residence at: 2400 Grant Blvd.
Syracuse, NY 13208
Payment Amount $ 836.54
Late Fee $ 25.oo - if mailed after 9/1
Total Amount Paid $______________
__________________________________________________________________
M&T Bank Mortgage Department
34 Salina St.
Syracuse, NY 13206
Mortgage payment for residence at: 2400 Grant Blvd.
Syracuse, NY 13208
Payment Amount $ 836.54
Late Fee $ 25.oo - if mailed after 9/1
Total Amount Paid $______________
Onondaga County Water Authority
416 Onondaga Blvd. Account Number- 1600483
Syracuse, NY 13211
For Service At: Monthly charge- $23.61
Total due- $23.61
2400 Grant Blvd.
Syracuse, NY 13208 Amount Enclosed _____________
________________________________________________________________
Onondaga County Water Authority
416 Onondaga Blvd. Account Number- 1600483
Syracuse, NY 13211
For Service At: Monthly charge- $23.61
Total due- $23.61
2400 Grant Blvd.
Syracuse, NY 13208 Amount Enclosed _____________
______________________________________________________________
Onondaga County Water Authority
416 Onondaga Blvd. Account Number- 1600483
Syracuse, NY 13211
For Service At: Monthly charge- $23.61
Total due- $23.61
2400 Grant Blvd.
Syracuse, NY 13208 Amount Enclosed _____________
Onondaga County Water Authority
416 Onondaga Blvd. Account Number- 1600483
Syracuse, NY 13211
For Service At: Monthly charge- $23.61
Total due- $23.61
2400 Grant Blvd.
Syracuse, NY 13208 Amount Enclosed _____________
________________________________________________________________
Onondaga County Water Authority
416 Onondaga Blvd. Account Number- 1600483
Syracuse, NY 13211
For Service At: Monthly charge- $23.61
Total due- $23.61
2400 Grant Blvd.
Syracuse, NY 13208 Amount Enclosed _____________
______________________________________________________________
Onondaga County Water Authority
416 Onondaga Blvd. Account Number- 1600483
Syracuse, NY 13211
For Service At: Monthly charge- $23.61
Total due- $23.61
2400 Grant Blvd.
Syracuse, NY 13208 Amount Enclosed _____________
Name______________ Block________________
Payment Check List Date_________________
BILLS, BILLS, BILLS
ALLSTATE___________
GENERAL MOTORS__________
OCWA_____________
VERIZON___________
MORTGAGE____________
CABLE___________
NIAGRA MOHAWK___________
CHECKING ACCOUNT NUMBER _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
Time-Warner Cable Company
For Service At: 2400 Grant Blvd. Amount paid________
Syracuse, NY 13208
Basic Cable Service $35.00 Account Number:
Road Runner Online $29.00 M61123F
Amount Past Due $22.22
Total Amount Due $ 86.22 Date due: 15th of the month
__________________________________________
Time-Warner Cable Company
For Service At: 2400 Grant Blvd. Amount paid________
Syracuse, NY 13208
Basic Cable Service $35.00 Account Number:
Road Runner Online $29.00 M61123F
Amount Past Due $22.22
Total Amount Due $ 86.22 Date due: 15th of the month
_______________________________________________________
Time-Warner Cable Company
For Service At: 2400 Grant Blvd. Amount paid________
Syracuse, NY 13208
Basic Cable Service $35.00 Account Number:
Road Runner Online $29.00 M61123F
Amount Past Due $22.22
Total Amount Due $ 86.22 Date due: 15th of the month
McDONALDS Corp. Ck.# 476
Third National Bank
Philadelphia, Pennsylvania Date________________
Pay to the
Order of___________________________________ $ 463.68
Four hundred sixty-three and 68/100 dollars
Memo____________________ _______________________________
543865098213546
____________________________________________________________
McDONALDS Corp. Ck.# 476
Third National Bank
Philadelphia, Pennsylvania Date________________
Pay to the
Order of___________________________________ $ 463.68
Four hundred sixty-three and 68/100 dollars
Memo____________________ _______________________________
543865098213546
McDONALDS Corp. Ck.# 476
Third National Bank
Philadelphia, Pennsylvania Date________________
Pay to the
Order of___________________________________ $ 463.68
Four hundred sixty-three and 68/100 dollars
Memo____________________ _______________________________
543865098213546
Allstate Insurance Company
Account Number: S81164E
Car Insurance- $114.74 Amount Paid $____________
Home Insurance- $ 78.11
Amount past due- $0
Total due - $ 192.85 Must be received by the 15th
________________________________________________________________
Allstate Insurance Company
Account Number: S81164E
Car Insurance- $114.74 Amount Paid $____________
Home Insurance- $ 78.11
Amount past due- $0
Total due - $ 192.85 Must be received by the 15th
___________________________________________
Allstate Insurance Company
Account Number: S81164E
Car Insurance- $114.74 Amount Paid $____________
Home Insurance- $ 78.11
Amount past due- $0
Total due - $ 192.85 Must be received by the 15th
Cross- Curricular Supplementary Lesson Ideas
Language Arts-
Lesson title:
The Student Who Used to Be Rich Last Sunday
Objectives:
Students will incorporate their language arts skills into math by reading a piece of literature, writing and editing a composition reflecting similar ideas to the piece, but with a specific mathematical task. It will relate to the main lesson through budgeting, balancing and using basic numeration.
Strategies:
STRP
Writers Workshop skills
Mathematical computation
Peer editing
Prior knowledge
Math standards:
Numbers and operations
Problem solving
Communication
Representation
ElA standards:
Students will read, write, listen and speak for information and understanding.
Students will read, write, listen and speak for critical analysis and evaluation.
Students will read, write, listen and speak for social interaction.
Time:
Three class periods
Materials:
Picture Book- Alexander, who used to be Rich Last Sunday
Writing supplies
Calculator
Drawing paper
Markers and colored pencils
Motivational Launch:
The teacher will read to the class Alexander, Who Used to be Rich Last Sunday, by Judith Viorst. The book should be read straight through for enjoyment, then reread for discussion. Discussion should include the writing style and the mathematical processes used. Using prior knowledge, discuss times when students have spent money foolishly, bought useless items, and regretted that spending later.
Procedure:
Explain to the students that they should put themselves in the place of Alexander. The difference will be that they will have $9.00 to spend in one week. They must account for every cent spent and end up with no money. They may not spend the money the same way as Alexander. The ideas should be original and reflect the students personal preferences and ideals.
Students should begin with a graphic organizer, included in it should be: where they got their money, what the money was spent on, why they had to spend it, and how much was spent each time.
Students should then write a rough draft. The money spending aspect should be checked by a peer to determine if the calculations are correct. Students will also use peer or teacher editing for the writing process.
The final draft should be written neatly or typed.
As an extra activity, students may want to illustrate one or more of the scenes from their story.
Regroup and Reflect:
Students may read their stories to the class, to a partner or perhaps to another class. The class, as a whole, will discuss the advantages of budgeting, saving for something they want, or spending furiously.
Assessment:
Mathematically check story for accuracy
Check for paragraph structure, grammar and mechanics
Discuss how this lesson relates to Bills, Bills, Bills lesson.
Modifications for LD Students:
Students may be allowed to use the picture book as a guide
Students may be required to spend less money in their story
Students may dictate or type their story
Inclusion of Unit into Other Subject Areas:
Health:
Discussion of healthy foods and the food pyramid.
What personal items might be essential to purchase in the grocery shopping section of the unit.
Home and Careers:
Discussion of-Careers, salaries, household expenses
Discussion of nutritional items necessary to have on hand in the house
How to write a grocery list and how a grocery store is set up
Ideas for meals and supplies
Social Studies:
Discussion of monetary systems used over the centuries
How purchases were made before our present monetary system
Art:
Student can make an advertisement for a bank
Design and make a check book cover for their checks
Music:
Students may research and analyze past and present songs about money or with a money theme
Technology:
Students will use technology to type their Language Arts stories
Use calculators to balance accounts
Realize what a large roll technology plays in the Paying Bills world
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