Consumer Mathematics 10

 

 

 

By Gail Huber

2 0 0 0

S105.21

Teaching Materials
from the
Stewart Resources Centre

 

 

To meet the need for instructional resources that complement new curricula, the Saskatchewan Teachers' Federation sponsored a professional development session and a unit writing workshop for teachers.

The workshops were facilitated by the Saskatchewan Professional Development Unit and teachers were assisted in their efforts to polish their units by staff from SPDU and the Stewart Resources Centre.

 

 

Table of Contents

Part 1

Planning Guide and Record of Unit Study
Objectives
Common Essential Learnings
Instructional Strategies
Concept Map
Student Copy of Evaluation Overview
Motivational Set
Savings Activity
Net Pay Activities
Budgeting
Calculating Gross Weekly Wages

Part 2

Commission Assignment
Net Pay Assignment
Bibliography

 

Planning Guide and Record of Unit Study

Subject and Grade Level:
Duration of Unit:
Number of Library Periods:
Number of Classes:

Mathematics 10
1 month
6
10

Topic:

Consumer Math

Subtopics:

  1. Pay
  2. Budgeting

Foundational Objectives:

  • To apply simple mathematics to assist in the calculation and estimation of income and expenses and to develop a budget to guide current and future planning.
  • To communicate a summary of financial projections in appropriate reports, tables and graphs.

_________________________
Source: Mathematics 10, 20 : A Curriculum Guide for the Secondary Level. Regina : Saskatchewan Education, 1995, p.142.

 

Objectives

Knowledge:

Skills:

Attitudes:

  • To calculate weekly gross wages involving regular pay, overtime pay, and piecework earnings
  • To calculate earnings for straight commission, or base wage plus commission
  • To determine the difference between gross pay and net pay
  • To calculate weekly, monthly, and yearly net pay
  • To define and explain the purpose of a budget
  • To determine and calculate monthly fixed expenditures
  • To investigate the guidelines in developing a budget
  • To plan a budget based on percentages allotted to various categories as suggested by financial institutions
  • To calculate the portion of total income spent on each category using percents
  • To draw graphs (including circle graphs) of budget figures using appropriate software
  • To calculate the actual amount of money to be spent on each category using predetermined percentages
  • To adjust a budget to changes in expenses.
  • To effectively research to meet the needs in mathematics
  • To develop a positive attitude toward the use of money
  • To work cooperatively in a group

Source: Mathematics 10, 20 : A Curriculum Guide for the Secondary Level. Regina : Saskatchewan Education, 1995, p.142.

 

Content

Assignments

Assessment

  1. Introduction
  • Group question sheet
  • Checklist for completion
  1. Gross Pay
  • Portfolio assignments
  • Newspaper activities with collection of work in scrapbook
  • Portfolio work
  • Newspaper record book

Net Pay

  • Portfolio assignments
  • Scrapbook
 
  1. Budget Plan
  • Definition of Budget
  • Jigsaw activity analyzing "Budgeting" booklet from Royal Bank
  • Participation
  • Presentations
  • Budget Plan
    • % of income in specific categories
    • graph drawings
    • budget adjustments
  • Research assignment

 

  • Worksheet for portfolio

 

 

 

Common Essential Learnings

Introductory Unit

Communication
Technological Literacy
Numeracy

Gross Pay

Numeracy
Critical and Creative Thinking
Independent Learning
Communication
Personal and Social Values and Skills

Net Pay

Numeracy
Critical and Creative Thinking

Budgets (Jigsawing)

Communication, Critical and Creative Thinking
Independent Learning, Personal and Social Values and Skills
Numeracy

Budget (Constructing)

Communication
Critical and Creative Thinking
Technological Literacy
Numeracy
Personal and Social Values and Skills
Independent Learning

Culminating Unit

Personal and Social Values and Skills
Communication
Numeracy
Critical and Creative Thinking

 

Instructional Strategies

Introductory Unit

Direct Instruction
Independent Study

Gross Pay

Interactive Instruction
Independent Study
Direct Instruction

Net Pay

Direct Instruction
Independent Study

Budgets (Jigsaw)

Interactive Instruction

Budgets (Constructing)

Experiential Learning
Independent Study
Indirect Instruction
Interactive Instruction

Culminating Lesson

Indirect Instruction
Interactive Instruction

 

Concept Map
Grade 10 Math

 

 

 

Student Copy of Evaluation of Consumer Math Unit

Overall Evaluation of Unit

  1. Introductory Activity
    Group Question Sheet

5%

  1. Portfolio Assignments
    Completion of 10
    Consumer Math Assignments

20%

  1. Jigsaw Activity on Budgeting

10%

  1. Scrapbook

5%

  1. Budget Report

60%
_______

 

100%

 

Teacher Strategies and Activities
Introductory Lesson / Motivational Set

When?

Where?     Classroom

What?

  • Video "Savings" from Financial Fitness Collection (Credit Union)
  • Booklets for each student regarding budgeting from Credit Union, Royal Bank, and Bank of Montreal.

Classroom Teacher Responsibility:

  • Show video
  • Conduct discussions regarding budgeting and saving
  • Form groups for students to answer related questions re: budgeting and saving
  • Compile question sheet

Teacher-Librarian Responsibility:

  • Contact banking institutions for information on budgeting and saving

Resources Requires:

  • Savings video from Credit Union

 

Savings
based on " Savings" video and booklet Credit Union

  1. Is it very important to save? Complete questionnaire on page 4 of "Savings" pamphlet and rate whether savings have become a priority to you?
  2. State the three points to follow when adopting a simple and effective savings strategy.
  3. How do you mathematically calculate a reserve for emergencies?
  4. Define the following:
    • assets
    • liabilities
    • net worth
  5. Differentiate between simple interest and compound interest.
  6. Using the table on page 5 of "Savings" booklet, complete the following:

If you deposit $1000.00 every year and annually calculate the interest:

Interest Rate

Time

Amount Accumulated

7 %
9 %
11 %
12 %

15a
20a
25a
10a

 

 

Teacher Strategies and Activities
Lesson Plans - Gross Pay

Content Area:

Knowledge __ x __

Skills __ x __

 

Attitude __ x __

 

Objective:

  • To calculate weekly gross wages involving regular pay, overtime pay and piecework earnings.
  • To calculate earnings for straight commission or base wage plus commission.

Activity:

  1. Informational worksheet based on Activities 40-48 of That's Life!
  2. Investigations of jobs involving different wages and earnings in newspaper.
  3. Lecture on actual calculations of earnings.

Media Research and/or Study Skills:

  • Using a newspaper, the table of contents, newspaper sections and especially the classified ads.

Number of Students: 23

Abilities, Interests and Special Needs of Students:

  • Students with low reading levels

Location: Classroom

Resources:

  • That's Life! - from the StarPhoenix
  • A consumer activity and teaching package (Activities 40-48)
  • Windows to Mathematics
  • Chapter 12, Pages 570-586

Minimum Expectations:

  • Completion of Scrapbook
  • Worksheets attempted

Student Evaluation:

  • Scrapbook
  • Portfolio work

Classroom Teacher Responsibility:

  • Introduce calculations and make worksheets

Teacher-Librarian Responsibility:

  • Order learning package from the StarPhoenix and newspapers when needed.

 

Gross Pay Assignment

 

That's Life! Activity 42

IF THE SHOE FITS...

people choose careers for many different reasons. Scan the classified ad pages and clip out job positions that fit the following categories:

  • Requires nothing beyond a high school diploma
  • Requires some kind of special training
  • Requires close integrated team-work on a day-to-day basis
  • Lets you be, within limits, your own boss

Share your clippings with classmates and explain which of the above ads is most suitable to you and why.

Ask your classmates whether they agree or disagree with you.

That's Life!. The Star Phoenix Educational Services. Saskatoon. 1991.

 

Gross Pay Newspaper Assignment

Research the business and classified ads sections of the newspaper. Find a job where you would be paid:

  1. A salary
  2. An hourly wage
  3. A straight commission
  4. A salary plus commission
  5. An hourly wage plus commission
  6. By piece work

From the figures you have acquired on your ads, calculate the yearly, monthly and weekly gross wages available for each job.

If not enough information is provided from the advertisements, you are expected to choose a reasonable projection of values suitable for that job.

 

Teacher Strategies and Activities
Lesson Plans - Net Pay

Content Area:

Knowledge __ x __

Skills ____

 

Attitude ____

 

Objective:

  • To determine the difference between net pay and gross pay.
  • To calculate weekly, monthly, and yearly net pay.

Activity:

  1. "Pay Day In Bruno Math Class"
  • to be able to read a pay stub
  1. Discussion of deductions
  2. Lecture on calculation of net pay
  3. Calculation of deductions from jobs of their choice

Number of Students: 23

Abilities, Interests and Special Needs of Students:

  • Students with low reading and math ability

Location: Classroom

Resources:

  • Windows to Math 10
  • Mathematics 10 - Student Resource Book (Saskatoon Catholic Schools)
  • Mathematics 10 - Supplementary Materials (Wood River Board of Education)

Minimum Expectations:

  • Worksheets attempted
  • Completion of scrapbook

Student Evaluation:

  • Scrapbook and portfolio work

Classroom Teacher Responsibility:

  • Prepare pay stub, lecture and explanation of deductions

Teacher-Librarian Responsibility:

  • Provide newspapers for project

 

 

 

 

Teacher Strategies and Activities
Lesson Plan - Budgets

 
 

Content Area:

Knowledge __ x __

Skills ____

 

Attitude ____

 

Objective:

  • To determine and explain the purposes of a budget.

Activity:

  1. Using the booklet, "Budgeting" the students will jigsaw so as to understand information from booklet.

Media Research and/or Study Skills:

  • reading
  • listening
  • presenting

Number of Students: 22

Abilities, Interests and Special Needs of Students:

  • low reading level students and learning disabled

Location: Classroom

Resources:

  • "Budgeting for a Better Lifetime" - Royal Bank of Canada, 1996

Minimum Expectations:

  • Participation

Student Evaluation:

  • Checklist noting participation, involvement and skills

Classroom Teacher Responsibility:

  • Facilitate activity

Teacher-Librarian Responsibility:

  • Order material from Royal Bank and make arrangements to have it available to the teacher

 

Jigsawing Assignment
Budgeting for a Better Lifetime Royal Bank of Canada, 1996

  1. There will be five cooperative groups where the material from the book will be divided. Members of the cooperative groups will be given a certain shape (circle, triangle, square, trapezoid) to form expert groups.
  2. The expert groups will study and prepare the following:

Content Headings:

Circles

Budget (pp.1-13)

  • Why Budget?
  • Defining Your Goals
  • Understanding Your Spending Habits

Triangles

Where Does Your Money Go (pp. 14-24)

  • Knowing Where Your Money Goes
  • Getting Everyone Into the Act
  • Organizing Your Paperwork

Squares

Net Worth (pp. 25-43)

  • Evaluating Your Net Worth
  • Setting Your Priorities
  • Budgeting Your Monthly Cash Flow

Trapezoids

Income vs Expenses (pp. 44-54)

  • Tips on Increasing Your Income and Reducing Your Expenses
  • About Credit
  • Getting Back on Track
 
  1. On returning to cooperative group, experts will teach the rest of the members of their group what they learned.

 

The Student Jigsaw Budgeting Activity Assessment Rubric                     10%

Group and Collaborative Learning                                         (5 points)

4.25 - 5     Exceptional Achievement

  • the student always interacted in the group
  • the student enthusiastically participated in discussions
  • the student reflects awareness of others' views and opinions

3.25 - 4     Superior Achievement

  • the student almost always interacts in the group
  • the student almost always participates in discussion
  • the student almost always reflects awareness of others' views and opinions

2.25 - 3     Commendable Achievement

  • the student sometimes interacts in the group
  • the student sometimes participates in discussions
  • the student sometimes reflects awareness of others' views and opinions

0 - 2     Rudimentary Achievement

  • the student does not react in the group
  • the student does not participate in discussions
  • the student does not reflect awareness of others' views and opinions
  1. Communication                                                                     (5 points)

3.5 - 5     Clear, Complete Communication: The student's explanation gives a clear coherent, unambiguous, and elegant explanation

  • the student communicates his/her thinking effectively to the audience
  • the student speaks clearly, without hesitation
  • the student presents strong supporting arguments

1.5 - 3     Partial or Incomplete Communication: The student's explanation is unclear, inconsistent or not complete

  • the student uses terminology incorrectly and inconsistently
  • the student sometimes speaks clearly
  • the student is not very logical in his/her arguments

0 - 1     Limited or Lack of Communication: The student's explanation is not understandable or not present

  • the student does not use or misuses appropriate terminology
  • the student does not speak clearly
  • the student does not understand what he/she is saying

 

    Teacher Strategies and Activities
    Lesson Plans

Content Area:

Knowledge __ x __

Skills __ x __

 

Attitude __ x __

 

Objective:

  • To plan a budget based on percentages allotted
  • To draw graphs of budget figures
  • To calculate actual amount of money to be spent
  • To adjust a budget to meet individual needs

Activity:

  1. The students will prepare a budget for themselves. They will receive a specific salary, choose a suitable job for that salary, calculate gross pay, deductions, and net pay for a month.

Media Research and/or Study Skills:

  • Research different occupations and salaries associated with them.
  • Use of Internet, use of tables to gather information

Number of Students: 22

Abilities, Interests and Special Needs of Students:

  • Learning disabled students

Location:

  • Resource Centre, Computer Room and Classroom

Resources:

  • Internet, Mentors (Insurance Agents, Bill Payers, etc), StarPhoenix, Auto Trader

Minimum Expectations:

  • Completion of assignment

Student Evaluation:

  • Based on completion of Part 1 and 2 of assignment and evaluation procedure

Classroom Teacher Responsibility:

  • Explain budget assignment

Teacher-Librarian Responsibility:

  • Schedule library time and assist with Internet searches

 

Consumer Math Assignment
Grade 10

Part 1

  1. Using Claris Works, create a one page word processing document that contains:
    1. A 3-column spreadsheet listing:
      1. the categories of your current expenses,
      2. the amount of money you spend in each category per month, and
      3. the percent allocated to each category, and
  1. A pie graph representing your personal expenses.
  1. Using the amortization program you learned in Information Processing class, create a spread sheet illustrating the cost for a loan for your vehicle, and / or home. Enter principal, term of the loan and interest rate (in decimal form). You will show the monthly payments, overall interest and number of payments. Highlight the important data.

Part 2

  1. Choose a Job
  2. Once you are given your annual salary, choose a job that interests you and that will fit into your pay scale.

    Annual salary: ______________________________

    Calculate your gross income, your deductions, and your net income for one month.

  3. Budget Your Income
  4. Based on this information decide on the percentage value you will spend in each of the following expense categories, as well as the maximum total amount you can spend in each category: (Note: You can allot more money to the savings category, only providing that your budgeting remains realistic.)

    Expenditure

    Percent for Category

    Maximum

    Housing and Utilities:
    Transportation:
    Food:
    Personal:
    Miscellaneous:
    Savings:

    __________________
    __________________
    __________________
    __________________
    __________________
    __________________

    __________________
    __________________
    __________________
    __________________
    __________________
    __________________

    You must budget these percentages within the guidelines set by the Credit Union (pg. 596) Of Windows to Math 10. Note that housing and utilities are combined; as well as personal, health and miscellaneous. So the combined total must not exceed those listed.

  5. Calculating Expenses (SHOW ALL WORK)

Rent / Mortgage payments

  • Include all documentation in your report (pictures, ad, prices) 
  • Calculate the monthly payment.

Electricity / Heating / Telephone

  • Survey three people to find out their average monthly costs.
  • Either average their costs or determine where your house's expenses would fit relative to theirs (i.e. size, condition)

Cable TV

  • List the services included in your plan.

Insurance

  • List the services included in your plan.

Car payments

  • Include all documentation in your report.
  • Calculate the monthly payment.

Gas

  • Survey three people to find out their average monthly costs. Either average their costs or determine where your car's gas mileage and your amount of driving would fit relative to theirs.

Maintenance and Repairs / Tires

  • Unless your car is under warranty, assume at least two oil changes and two tune-ups per year will be needed. You can list any other expenses you may need in a year.
  • List the price of the repair and where the quote came from.
  • Calculate the monthly cost.

Insurance / Registration / License

  • Show your calculations to determine your monthly cost for each expense.
  • For insurance, list the name of your plan and the coverage.

Groceries

  • Plan a meal for one week.
  • Make a grocery list.
  • Refer to the field trip for prices.
  • Use this one week as an average to calculate the amount for one month.

The report will include:

  • A cover page (with title, name, date, class)
  • Part 1 (one page)
  • Summary worksheet
  • Pie graph of Part 2
  • Calculations, documentation, price lists, menu plan

Evaluation:

Correct calculations
Neatness
Organization
Realistic budgeting
Overall impact
On task, behaviour during class time

50%
10%
10%
10%
10%
10%

 

100%

 

Income and Expenses

Job Title: ___________________________________________

Gross Income for One Month: __________________________

CPP: _________________________________________________

UI: __________________________________________________

Income Tax: __________________________________________

Net Income for One Month: ____________________________

Home Expenses:
Rent
Mortgage payments
Electricity
Heating
Maintenance & Repairs
Telephone
Cable TV
Insurance
Taxes
Furniture

Total

( ____%)
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
$_________

Personal Expenses:
Life Insurance
Clothing
Medical/Dental costs
Petty Cash
Personal Services
(e.g. hair styling)
Gifts

Total

( ____%)
__________
__________
__________
__________

__________
__________

$_________

Transportation:
Car Payments
Gas
Maintenance & Repairs
Tires
Insurance
Registration
License
Public Transportation

Total

(____%)
__________
__________
__________
__________
__________
__________
__________
__________

$_________

Leisure Time:
Holidays
Sports
Movies, Theater, etc.
Books, Magazines

Total

(____%)
__________
__________
__________
__________

$_________

Food:
Groceries
Restaurants

Total

(____%)
__________
__________

$_________

Savings:
Emergency Savings
(per installment)
Substantial Savings
(investments)

Total

(____%)

__________

__________

$_________

Total Monthly Expenses $__________

 

Examples of Portfolio Assignments

You have been looking through the want ads for a new career. You've narrowed it down to the following four jobs. Due to your excellent interview skills you have been offered a position at all four companies. In trying to make your decision you've realized that money is the most important aspect in your life at the moment. If you were to base your decision solely on the job which was to pay the most money, which job would you choose? (Assume that you will be paid the lowest salary if more than one is indicated.)

 
 

 

Calculating Gross Weekly Wages

This is a hand-in assignment. Do the calculations on a separate piece of paper. Show your equations and calculations.

  1. Salary
  1. Sally's job pays her $1,500.00 per month. What is her gross weekly wage?
  2. Jim grosses $27,000.00 a year. What is his gross weekly wage?
  1. Hourly
    (A regular work week is 40 hours. Overtime pay is time and one-half).
  1. Sue drives a truck for $8.75 an hour. If she worked 40 hours, what would be her gross earnings for one week?
  2. Mark is a word processor operator. He makes $11.50 and hour. Determine his earnings for a week if he worked 52 hours.
  1. Piece Work
  1. Gillian gets paid 17 cents a tree for tree planting up north. In one week she planted 2437 trees. What is her wage?
  2. A seamstress is paid $9.55 for every pair of pants made. How many pants would have to be made to receive $525.00 a week?
  1. Straight Commission
  1. A real estate agent earns 2.4% on the sale of a house priced at $89,950.00. What is her take home pay that day?
  2. A salesperson sells $5780.00 worth of merchandise in one day. From working on commission his gross pay for that day was $179.18. What is his rate of commission?
  1. Salary Plus Commission
  1. Dave earns $150.00 per week plus 38% commission. He sold $4175.68 in the month of February. What is his gross monthly earning for February?
  2. Mary earns $28,000.00 a year. One week she grossed $658.00. She had sold $1673.19 worth of merchandise. What is her rate of commission?
  1. Hourly Wage Plus Commission
  1. Julie is a sales clerk at a bicycle shop. She is paid $6.25 per hour plus she is given a commission of 8% of sales. In one week she worked 30 hours and her sales were $2319.75. What is her gross weekly earnings for that week?
  2. Sam is paid $6.45 per hour plus 6% of sales. If he worked 37.5 hours in one week, what would his sales need to be for him to have a gross earning of $400.00?

 

Calculate gross earnings for one week given the hours worked and the hourly rate. A regular work week is 40 hours.

Examples: (overtime pays double)

1.

Job:

Truck Driver

 

Hours Worked:

40

 

Hourly Rate:

9.75

 

 

2.

Job:

Wordprocessing Operator

 

Hours Worked:

35.5

 

Hourly Rate:

11.50

 

 

3.

Job:

Landscape Labourer

 

Hours Worked:

51

 

Hourly Rate:

10.00

 

 

(Examples: overtime pays time and one half)

4.

Job:

Auto Mechanic

 

Hours Worked:

60

 

Hourly Rate:

40.00

 

 

5.

Job:

Plumber

 

Hours Worked:

41

 

Hourly Rate:

37.50

 

 

6.

Job:

Tutor

 

Hours Worked:

17

 

Hourly Rate:

35.00

Source: Morgan, Roger and Walter Wood. Mathematics 10 - Supplementary Materials. Lafleche, SK: Wood River Board of Education, 1995.

 

Class Activity

Considerations when job hunting: wages, hours, type of work, location, distance from work, promotion, responsibility, job security, unemployment, experience.

 

Source: Morgan, Roger and Walter Wood. Mathematics 10 - Supplementary Materials. Lafleche, SK: Wood River Board of Education, 1995.

 

 

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