Dufferin-Peel Catholic District School Board
Final Summative
Culminating Performance Task
Mathematics
Foundations for College Mathematics (MAP4C)
Grade 12 College
March 2011
Acknowledgements:
Superintendent of Program
Marianne Mazzorato
Project Manager
Dwight Stead, Mathematical Literacy
Consultant, Program Department
Task Writers
Eddie Caruso, John Cabot SS
Franco Cerullo, St Aloyisius Gonzaga S.S.
Sergio Costa, St Edmund Campion S.S.
Rocco DiTrani, Iona C.S.S.
Mary Eric-Bury, St Francis Xavier S.S.
Romela Georgis, St Martin S.S.
Not to be reprinted without the permission of the Dufferin-Peel Catholic District
School Board
MAP4C: On My Own CPT (March 2011)
Page 2 of 38
Culminating Performance Task
Final Summative
Discipline
Mathematics
Course Code
MAP 4C
Course Name
Grade 12 College Math
Title of the Task
On My Own!!
Time Requirement
Student Task: 5 periods of 75 minutes each
375 minutes total time
Description of the Task
In a few months from now, you will be pursuing a career that you have dreamed of
through your high school years. Your dreams will soon come true when you take the
first steps in searching for a condominium of your own that you can realistically
afford. Therefore, you will need to research your options, design your choice,
measure the floor plan, estimate/compare prices, and determine closing costs.
Final Product
Solving a real-world problem that includes:
• Reading a condo advertisement/flyer to obtain detailed information that will be required to
complete this project. Reading a news article to obtain data on possible salary levels for recent
college graduates entering the work force.
• Creating a detailed, and realistic, floor plan for your ideal condominium and relevant
measurements.
• Calculating the total area (in sq. ft.) of the condominium based on all the individual areas for
each room.
• Collecting all relevant financial data that pertains to owning/purchasing your condo (i.e.
Mortgage, Closing Costs, Taxes, Maintenance, and Parking Fees etc).
• Calculating and analyzing the collected financial data.
• Effectively communicating your answers to justify the choices and adjustments based on
changes you will encounter in your life.
Teacher Tips:
1) This task covers all three overall expectations in the Personal Finance strand so your
final exam will not require any question for this strand.
2) After day 1 and day 4 it is highly recommended that students complete preparation work
to make the next day go smoother (i.e create draft floor plan after day 1 and gather
information about closing costs for day 5)
3) Review the five daily lesson plans to familiarize yourself with what is expected each day
and gathering of materials (e.g. scissors for day 2)
4) Reuse the BLMs that students do not write on to reduce photocopy costs
MAP4C: On My Own CPT (March 2011)
Page 3 of 38
Assessment and Evaluation
Breakdown of Final 30%
Value of paper & pencil exam
Value of performance task
20%
10%
(For more information refer to Final 30% Values document)
Categories Addressed in the Performance Task
Knowledge
Application
Thinking
Communication
A rubric will be used to evaluate the task.
Prior Knowledge and Skills
To complete the task, students are expected to have knowledge or skills of the following:
•
•
•
•
•
•
•
Read and extract relevant information from articles.
Calculating average values based on given data.
Creating a scale diagram such as a floor plan
Calculating total square footage of a composite area using proper units.
Calculating taxes and other closing costs when purchasing a condominium.
Understanding mortgage options such as pre-approved mortgages, open and closed
mortgages, first or second mortgage, fixed or variable rates, and high ratio mortgages.
Using amortization tables, TVM Solver, or Excel Spreadsheets to determine monthly mortgage
payments.
Plagiarism
It is important to discuss copyright issues with students. Copyright applies to text and visual materials
taken from both Internet and print sources. Plagiarism is defined as “using the work (or part of it) of
another person and claiming is as your own.”*
*(Source: A Guide to Copyrights, 2000)
The following are suggestions to ensure students submit and are evaluated on their own work:
•
•
•
•
allow students to discuss ideas as a class or in groups, but have them generate individual work;
ensure that all work is completed during class time;
ensure that task-related materials are not removed from the classroom;
review school/Board policy on plagiarism/academic dishonesty with students.
Materials and Resources
•
•
•
•
All BLMs in this package
Handheld technology with TVM solver or Computer with Excel spreadsheet software
Pencils, ruler and eraser
Grid paper for floor plan or computer software
(Template Source: www.edu.gov.on.ca)
MAP4C: On My Own CPT (March 2011)
Page 4 of 38
MAP4C
Course Summative Performance Task: On My Own
Task Outline
BIG IDEAS:
Students will be evaluated on:
• Solving problems involving measurement and geometry and arising from real-world
applications
• Demonstrate an understanding of annuities, including mortgages, and solve related
problems using technology
• Gather and interpret information about owning an accommodation, and solve
problems involving the associated costs
• Adjust budgets described in case studies, and describe applications of the
mathematics of personal finance
Day
Lesson Title
1
Gathering Data to
Design your Future
Home
Description / Math Learning Goals
•
•
•
2
Design a Floor Plan
and Calculate Area
Read a condominium advertisement/flyer to
obtain detailed information needed to
determine costs associated with buying a
condominium.
Gather information about annual entry
salaries for various trades from articles
provided.
Determine current entry salaries by
extrapolating information gathered.
• Design a floor plan based on criteria from Day
1 that shows all measurements using suitable
units, scales, labels, and mathematical
conventions.
• Determine area calculations for all
components of the floor plan and effectively
communicate the results.
MAP4C: On My Own CPT (March 2011)
Expectations
Curriculum
Expectations:
A2.2
Catholic
Graduate
Expectations:
CGE 2.b, CGE
2.d, CGE 3.c
Curriculum
Expectations:
C1.2
Catholic
Graduate
Expectations:
CGE 3.c, CGE
4.f, CGE 5.b
Page 5 of 38
3
4
Catch Up /
Examination
Review
•
Determine
Mortgage Payments
and Budgets
•
•
•
•
•
•
•
•
5
Closing Costs and
Adjusting Your Plan
•
•
Allow students who need more time an
opportunity to catch up.
Revise/polish the floor plan design.
Check area calculations.
Review for the final examination.
Design a reasonable budget that organizes
and analyzes all your planned expenses and
revenue.
Determine the total cost of purchasing your
future home
Investigate and explain different types of
mortgages.
Create an amortization table using two
different amortization periods.
Calculate monthly mortgage payments using
the TVM Solver for different amortization
periods and communicate the impact these
have on mortgage payments.
Calculate closing costs
Make adjustments to your budget to
accommodate changes in circumstances
(e.g., getting married, having children,,
getting relocated, and losing your job)
MAP4C: On My Own CPT (March 2011)
Curriculum
Expectations:
B1.1, B1.2, B1.3,
B1.4, B1.5, B1.6,
B1.7, B1.8
Catholic
Graduate
Expectations:
CGE 2.b, CGE
4.f, CGE 3.c
Curriculum
Expectations:
C3.5
Catholic
Graduate
Expectations:
CGE 4.b, CGE
4.e, CGE 2.d,
CGE 3.c, CGE
7.b
Page 6 of 38
Day 1: Own My Own – Gathering Data to Design Your Future Home
Learning Goals
Minds On:
10 min
Action:
60 min
Consolidate:
5 min
MAP4C
Materials
•
• Read a condominium advertisement/flyer to obtain detailed
information needed to determine costs associated with buying a
condominium.
• Gather information about annual entry salaries for various trades
from articles provided.
• Determine current entry salaries by extrapolating information
gathered.
•
•
•
•
•
•
Total=75 min
Pencils, eraser, ruler
and calculator
BLM 1.1 Day 1
Student Handout
BLM 1.2 Announcing
The Magnificent
Condominiums
BLM 1.3 Salaries
Data
BLM 1.4 Rubric
BLM 1.5 Student
Checklist
Student notes from
the course
Assessment
Opportunities
Minds On…
Action!
Whole Class  Discussion
Orally provide an overview of the five day task.
Outline student expectations by reviewing the rubric on BLM 1.4. Answer any
student questions before the task begins since students are discouraged from
answering questions during the task.
Have students keep the
rubric as they will be
referring to it each day of the
task.
Small Groups  Discussion
Students discuss their future home choices and how they will use mathematics to
confirm their right choices/decisions.
Mathematical Process Focus:
Connecting - Students discuss the mathematics they learned in the
course and how it applies to choosing their future home.
Communicating – Students demonstrate their abilities to read, find,
and use relevant information from newspaper articles, flyers, and
charts.
Individual Complete Task
Distribute BLM 1.1, 1.2 and 1.3.
Students complete BLM 1.1
Students should be using the
accommodation flyer (BLM
1.2) and the salaries data
(BLM 1.3) to provide
information needed for the
task.
Consolidate Individual  Complete Checklist
Debrief
Distribute Checklist (BLM 1.5) to students. Students will keep this for all five
days of the task and complete a section at the end of each day.
Students complete the checklist BLM 1.5.
Whole Class  Collection of Materials
Collect completed BLM 1.1 from all students.
Students use their time at home to begin designing a floor plan on grid paper or
using software.
Students should continue their preparation for the final examination.
MAP4C: On My Own CPT (March 2011)
Teachers should review
student work and provide
feedback to ensure students
remain engaged and perform
to their potential.
Free design program
available at
www.smartdraw.com
Page 7 of 38
Name: ____________________________
1.1: On My Own Day 1 - Gathering Data to Design Your
Future Home
In a few months from now, you will be pursuing a career that you have dreamed of
through your high school years. Your dreams will soon come true when you take
the first steps in searching for a condominium of your own that you can afford.
Therefore, you will need to research your options, design your choice, measure the
floor plan, estimate/compare prices, research the salary for college graduates, and
set some financial goals.
5) Examine the accommodation information flyer (1.2 Introducing “The Magnificent”
Condominiums) to start the project. After researching the many options found in the
flyer:
•
State your condominium choice in the space below by indicating the unit ID
______________________________________________________________
6) Using the accommodation information gathered, fill out the chart below by specifying the
description of your future home choice. (Hint: use N/A if the feature is inapplicable)
Unit Information
Floor #
Unit Area
Balcony (sq. ft.)
Sq ft with Balcony
Exposure (north, south, south/East, etc.)
# of bedrooms
# of washrooms
Buried Bedroom (Yes, No)
MAP4C: On My Own CPT (March 2011)
Page 8 of 38
1.1: On My Own Day 1 - Gathering Data to Design Your
Future Home (Continued)
7) Record the costs of your choice by recording the necessary information about your unit
in the table below.
Initial Up-Front Costs
Price of Unit without discount
Parking without discount (optional)
Locker without discount (optional)
Total Up-Front Costs
Cost
$
$
$
$
Discount (10%)
$
Up-Front Costs after Discount
$
Monthly Maintenance Costs
Cost
Monthly Maintenance Fee for your unit
Parking Maintenance Fee (optional)
Locker Maintenance Fee (optional)
Total Monthly Costs
MAP4C: On My Own CPT (March 2011)
$
$
$
$
Page 9 of 38
1.1: On My Own Day 1 - Gathering Data to Design Your
Future Home (Continued)
8) Read the college graduates pay-scale newspaper articles. (1.3 Salaries Data) to predict
your financial future. State the anticipated income your career will earn you.
Article(s) Read
Your Career
Anticipated
Page #
Comments
Yearly Income
$
Note: The average worker works 37.5 hours per week for 50 weeks per year.
Note: Lenders recommend that your Gross Debt Service ratio (GDS) is no more than 30%
of your gross income. GDR is the percent of your gross income that you should spend
on housing. For example, if your income is $40 000 per year, you can afford no more
than $12000 per year or $1000 per month on your mortgage.
Show your GDS calculations below:
Complete the checklist (1.5) before you hand in your work.
MAP4C: On My Own CPT (March 2011)
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1.1: On My Own Day 1 - Preparation for Day 2:
Design a floor plan for your condominium unit using the grid paper below.
• Your floor plan should use a variety of shapes. The outer shape should be a
rectangle.
• Remember to state all measurements, in suitable units.
• You will calculate the total area of the floor plan.
You can also use an online design program called Smart Draw (www.smartdraw.com)
MAP4C: On My Own CPT (March 2011)
Page 11 of 38
1.1: On My Own Day 1 - Gathering Data to Design Your
Future Home (Continued)
MAP4C: On My Own CPT (March 2011)
Page 12 of 38
1.2: Introducing “The Magnificent” Condominiums
Unique and urbane. Something new is happening every other minute. From furniture to fashion
and everything in between – King and Queen Street are the hottest designer districts in Toronto.
Fabulous and fashionable- if you’re craving the latest flavour, dip into any number of trendy little
bars, cafes and restaurants that are all the rage.
Available Units and Prices
Unit
ID
Floor
B3A
B3A
B3A
B3B
B5
B5
C4
C4
C5
C6
D1
15
16
17
17
7
17
3
6
14
17
17
Unit
Area
(sq. ft.)
555
555
555
575
575
575
660
660
680
700
730
Balcony
(sq ft)
French
French
French
French
French
French
45
45
French
French
50
Unit Area
with
Balcony
555
555
555
575
575
575
705
705
680
700
780
Exposure
East
East
East
East
East
East
South/East
South/East
East
East
East
# of
# of
bedrooms washrooms
1
1
1
1
1
1
1.5
1.5
1.5
1.5
2
1
1
1
1
1
1
1.5
1.5
1
1
2
Bedroom
with
Window
Y
Y
Y
Y
N
N
Y
Y
Y
Y
Y
Price
252,900
253,900
254,900
264,900
247,900
257,900
294,900
297,900
295,900
299,900
327,900
Other information:
 Parking - $27000
 Locker - $4500
 10% discount is subtracted from prices listed above



Maintenance fees are $0.45 per sq. Ft.
Maintenance for Parking - $40 per month
Maintenance for Locker - $10 per month
MAP4C: On My Own CPT (March 2011)
Page 13 of 38
1.3: Salaries Data
MAP4C: On My Own CPT (March 2011)
Page 14 of 38
1.3: Salaries Data (Continued)
MAP4C: On My Own CPT (March 2011)
Page 15 of 38
1.3: Salaries Data (Continued)
MAP4C: On My Own CPT (March 2011)
Page 16 of 38
1.3: Salaries Data (Continued)
MAP4C: On My Own CPT (March 2011)
Page 17 of 38
1.4: On My Own – Rubric
You will be evaluated for your performance on this task using the following rubric. You will receive an overall mark in each of the four
achievement chart categories. Some categories have multiple criteria that are aligned to the mathematical processes.
Knowledge and Understanding
Criteria
Below Level 1 (30-49)
Specific Feedback
Level 1 (50-59)
Level 2 (60-69)
Calculates areas of
floor plan from a scale
diagram. (Day 2)
Roughly estimates total
area from a scale diagram
by simply counting squares
on grid.
Estimates total area from a
scale diagram of the floor
plan with minor errors or
omissions. (i.e. units, scale)
Correctly calculates total
area from a scale diagram
of the floor plan using
proper units and scales.
Efficiently calculates total
area from a scale diagram of
the floor plan and provides
detailed calculations
Determines a budget
for costs associated
with purchasing a
condominium and
calculates appropriate
payments. (Day 4)
Determines an accurate
budget with teacher
prompting. Calculated
payments do not consider
factors such as income and
length of amortization.
Determines an accurate
budget but doesn’t consider
fixed and variable costs.
Calculated payments do not
consider factors such as
income and length of
amortization.
Determines an accurate
budget that considers fixed
and variable costs.
Calculated payments
consider factors such as
income and length of
amortization.
Thoroughly determines an
accurate budget considering
all factors. Calculated
payments thoroughly
consider all possible factors.
150-52
260-62
370-72
480-86
Overall Category
Score
Conversion Guide:
Levels to Percentage*
30-49
1
53-56
1+
57-59
2
63-66
2+
67-69
Level 3 (70-79)
3
73-76
3+
77-79
Level 4 (80-100)
4
87-94
4+
95-100
Thinking
Problem Solving
Criteria
Below Level 1
Specific Feedback
Creates a floor plan
design based on given
criteria (Day 2)
Level 1
Level 2
Level 3
Level 4
Creates an incomplete floor
plan without using a variety
of shapes or uses
unrealistic room shapes and
sizes.
Creates a floor plan with
minor omissions (e.g no
room dimensions and
unrealistic room shapes and
sizes).
Creates a fully labelled floor
plan that meets all the given
criteria for variety of shapes
and having realistic room
dimensions.
Creates a fully labelled floor
plan with a variety of
shapes and innovative
design features having
realistic room dimensions.
Level 3
Level 4
Reasoning and Proving
Criteria
Below Level 1
Specific Feedback
Justify an appropriate
mortgage payment
(Day 4)
MAP4C: On My Own CPT (March 2011)
Level 1
Chooses a mortgage
payment without any
supporting reasons.
Level 2
Chooses a mortgage
payment with insufficient
reasons that satisfy all the
factors (e.g. income,
amortization period)
Page 18 of 38
Chooses a mortgage
payment with reasons that
satisfy all the factors (e.g.
income, amortization
period)
Chooses a mortgage
payment with reasons that
compares more than one
option.
1.4: On My Own – Rubric (Continued)
Reflecting
Criteria
Below Level 1 (30-49)
Specific Feedback
Describes appropriate
adjustments to their
budget based on life
changes. (Day 5)
Level 1 (50-59)
States adjustments without
reasons
Level 2 (60-69)
Level 3 (70-79)
Level 4 (80-100)
Describes adjustments to
a case study based on
income changes, life
changes and employment
changes.
Describes reasonable
adjustments to a case study
based on income changes,
life changes and
employment changes.
Describes multiple
reasonable adjustments to a
case study based on income
changes, life changes and
employment changes.
Level 3
Level 4
Overall Category
Score
Application
Connecting
Criteria
Level 1
Level 2
Connects topics used
throughout the course
to complete the task.
(Throughout task)
Does not make connections
between concepts learned in
this course.
Demonstrates simple
connections between the
concepts learned in the
course. (calculating area,
determining budgets,
accommodation costs)
Demonstrates the
connections between the
concepts learned in the
course. (calculating area,
determining budgets,
accommodation costs)
Connects and applies
mathematical ideas in
recommendations
made for case studies.
(Day 5)
Does not connect or apply
mathematical ideas in
recommendations made to
case studies.
Connects and applies
mathematical ideas in
recommendations made
to case studies and
makes simple connections
Connects and applies
mathematical ideas in
recommendations made to
case studies and makes
appropriate connections
Connects and applies
mathematical ideas to
recommendations made to
case studies and makes
unique, original or insightful
connections
150-52
260-62
370-72
480-86
Overall Category
Score
Conversion Guide:
Levels to Percentage*
Below Level 1
Specific Feedback
30-49
1
53-56
1+
57-59
2
63-66
2+
67-69
* Conversions can be found on the bottom of page 40 of Growing Success (2010).
MAP4C: On My Own CPT (March 2011)
Page 19 of 38
3
73-76
3+
77-79
Thoroughly demonstrates
the connections between the
concepts learned in the
course. (calculating area,
determining budgets,
accommodation costs)
4
87-94
4+
95-100
1.4: On My Own – Rubric (Continued)
Communication
Communicating
Criteria
Below Level 1 (30-49)
Level 1 (50-59)
Level 2 (60-69)
Level 3 (70-79)
Level 4 (80-100)
Specific Feedback
Ability to read, find,
and use relevant
information from
newspaper articles,
flyers, and charts.
(Day 1)
Only identifies the relevant
information with teacher
assistance.
Identifies the relevant
information with some
teacher assistance.
Independently identifies the
relevant information with no
teacher assistance.
Independently identifies the
relevant information with no
teacher assistance and
provides insightful answers.
Correct use of
mathematical symbols,
labels, units and
mathematical form
(Throughout task)
Sometimes uses proper
units, scales, labels and
mathematical form with an
error that affects the result
Usually uses proper units,
scales, labels and
mathematical form with
minor form errors that do
not affect the result
Consistently uses proper
units, scales, labels and
mathematical form correctly
Consistently and
meticulously uses proper
units, scales, labels and
mathematical form.
Appropriate use of
mathematical
vocabulary
(Throughout task)
Mostly uses common
language in place of
mathematical vocabulary or
incorrectly uses key math
terms
Uses vocabulary
appropriately but with
minor errors or some use
of common language in
place of mathematical
vocabulary
Uses mathematical
vocabulary appropriately
Consistently uses
mathematical vocabulary
correctly, recognizing novel
opportunities for its use
Presents written
language clearly to
explain their choices
and to justify their
responses (eg. choice
of amortization period
and justification of
adjustments in future
scenarios)
(Day 4 and 5)
Presents written language
with limited effectiveness
(incomplete sentences) to
explain their choices and to
justify their responses
Presents written language
with some effectiveness
(point form only) to explain
their choices and to justify
their responses
Presents written language
with considerable
effectiveness to explain their
choices and to justify their
responses
Presents written language
with a high degree of
effectiveness (detailed
responses) to explain their
choices and to justify their
responses
Overall Category
Score
MAP4C: On My Own CPT (March 2011)
Page 20 of 38
Name: ____________________________
1.5: On My Own – Task Checklist
Use this checklist as a guide to keep track of important items that you should have completed,
to perform well on your culminating task. The checklist has been organized for each of the five
days of the task. Be sure to review carefully before you hand in your work each day. Place a
checkmark beside each question after you have completed it.
Day 1: Gathering Data To Design Your Future Home
Have I carefully read the condo advertisement flyer and highlighted __________
or underlined key points?
Have I completed all the required information on BLM 1.1?
__________
Have I looked over the rubric again to make sure that I am
performing to the level that is expected of me?
__________
Do I have pages 11 and 12 to begin designing the floor plan at
home tonight?
__________
Day 2: Design a Floor Plan and Calculate Area
Have I designed a realistic floor plan (i.e. does it include all the
rooms and facilities that a typical condo unit would have?) of my
ideal condo and have I included dimensions that will aid me with
calculations later in the task?
__________
Have I checked my area calculations to ensure they are correct?
__________
Have I checked that all the units are correct on my floor plan?
__________
Have I completed all the required information on BLM 2.1?
__________
Have I looked over the rubric again to make sure that I am
performing to the level that is expected of me?
__________
MAP4C: On My Own CPT (March 2011)
Page 21 of 38
1.5: On My Own – Task Checklist (Continued)
Day 3 Catch-Up and Examination Review
Have I used this day to review all my previous work to check for
any errors and to complete any portion that I have not yet fully
completed?
__________
Have I looked over the rubric again to make sure that I am
performing to the level that is expected of me?
__________
Day 4: Determine Mortgage Payments and Budget
Have I carefully read the Mortgage Wise booklet to answer the
mortgage questions?
__________
Have I correctly calculated and compared mortgage payments and
total interest paid using the TVM solver?
__________
Have I correctly completed by monthly budget?
__________
Have I justified my choice of amortization period and recorded
strategies to accelerate the repayment of my mortgage?
__________
Have I looked over the rubric again to make sure that I am
performing to the level that is expected of me?
__________
Day 5: Closing Costs and Adjusting Your Plan
Have I correctly calculated the closing costs?
__________
Have I included sufficient reasons for the adjustments I made to
my plan?
__________
Have I made changes to my budget and payments that are
realistic?
__________
Have I completed all the required information on BLM 5.1?
__________
Have I looked over the rubric again to make sure that I am
performing to the level that is expected of me?
__________
MAP4C: On My Own CPT (March 2011)
Page 22 of 38
Day 2: On My Own - Design Floor Plan and Calculate Area
Minds On:
5 min
Action:
65 min
Consolidate:
5 min
MAP4C
Learning Goals
• Design a floor plan based on criteria from Day 1 that shows all
measurements using suitable units, scales, labels, and mathematical
conventions.
• Determine area calculations for all components of the floor plan and
effectively communicate the results.
Materials
Pencils, eraser,
ruler,
calculator and
scissors
• Grid paper
• BLM 2.1 Day 2
Student
Handout
• Student notes
from the
course
Assessment
Opportunities
•
Total=75 min
Minds On…
Pairs  Evaluate and finalize floor plan
Pairs of students use cut-outs of furniture and appliances to determine if their
draft floor plan is realistic. Partners provide feedback to each other and students
individually make necessary changes.
Use BLM 2.2 for cutouts of furniture and
appliances
Students make final draft of floor plan on grid paper using scale of
1 square = 1 foot.
Mathematical Process Focus: Reflection
Action!
Individual Complete Task
Return BLM 1.1 to students and distribute BLM 2.1 to students
Students are to design a floor plan of their condominium showing all of the
measurements for each individual area
Students are to calculate the total square footage of their condominium as a sum
of the composite areas
Students need to
review the rubric so
they know the
expectations for task.
Mathematical Process Focus: Representing, Selecting Computational Strategies
Consolidate Whole Class  Collection of Materials
Debrief
Students complete Checklist (BLM 1.5) for Day 2
Collect student work on BLM 1.1 and 2.1 and collect Checklist on BLM 1.5
If students fall behind
day 3 has an
opportunity to catch
up.
Teachers should
review student work
and provide feedback
to ensure students
remain engaged and
perform to their
potential.
Home Activity or Further Classroom Consolidation
Students should continue their preparation for the final examination.
MAP4C: On My Own CPT (March 2011)
Page 23 of 38
Name: ______________________
2.1: On My Own Day 2 - Design a Floor Plan and Calculate
Area
1) With a partner, determine whether your floor plan is realistic by using the furniture and
appliance cut-out on page 27. Make necessary changes to your floor plan and make a
final draft of your floor plan on grid paper. Use a scale of 1 square = 1 foot
2) Using the final floor plan you created, complete the check list below to record the
information.
Facilities
√
Dimensions
in feet/inches
Shapes/Figures
Brief Description
Bedroom #1
Closet in bedroom #1 (Walk-in
Closet?)
Living Room
Dining Room
Kitchen
Bathroom
Washer/Dryer Room
Entrance
MAP4C: On My Own CPT (March 2011)
Page 24 of 38
1.1: On My Own Day 2 - Design a Floor Plan and Calculate
Area (Continued)
Area Calculations
3) In the space below, determine the area for all components of your floor plan. Communicate
your results effectively.
The total area of my condominium is:
MAP4C: On My Own CPT (March 2011)
Page 25 of 38
2.1 On My Own Day 2 – Design a Floor Plan and Calculate
Area (Continued)
4) Once you are finished your research, made your choices, and designed a draft floor plan of
your project, write in a point form what you have learned from this initial process by
explaining your choices and justifying your choices. You are encouraged to use proper
mathematical terminology.
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
Complete the checklist (1.5) before you hand in your work.
MAP4C: On My Own CPT (March 2011)
Page 26 of 38
2.1 On My Own Day 2 – Design a Floor Plan and Calculate
Area (Continued)
Use the symbols on this page to evaluate your floor plan design. Cut out the necessary
symbols and place them on your floor plan to determine if your room dimensions are
realistic. (Note: This page needs to be printed as a single side copy)
Source: http://en.infinisys.co.jp/product/ez-architect/images/Symbols.jpg
Source: https://protrain.hs.llnwd.net/e1/sitefiles/372/Templates/46/stickers.gif
MAP4C: On My Own CPT (March 2011)
Page 27 of 38
Day 3: On My Own – Catch Up / Examination Review
Minds On:
5 min
Action:
65 min
Learning Goals
• Allow students who need more time an opportunity to catch up.
• Revise/polish the floor plan design.
• Check area calculations.
• Review for the final examination.
Consolidate:
5 min
Total=75 min
Minds On…
Action!
Whole Class  Instructions
Determine which students need extra time to complete days 1 and 2 of the task.
Return BLM 1.1 and 2.1 to those students and have them continue.
When they complete the work distribute BLM 3.1.
MAP4C
Materials
Pencils, eraser,
ruler and
calculator
• Student notes
from the
course
• Examination
review
materials
• Student notes
from the
course
Assessment
Opportunities
•
Students need to
review the rubric so
they know the
expectations for task.
Individual Complete or Polish Task
Return BLM 1.1 and 2.1 to rest of the class.
Write the information on BLM 3.1 on the blackboard. Students will
1) Revise/polish floor plan design.
2) Check area calculations.
3) Examine the rubric further and confirm the requirements of the
project.
4) Assign work to have students review for the final exam if they
choose.
Consolidate Whole Class  Collection of Materials
Debrief
Students complete Checklist (BLM 1.5) for Day 3
Collect student work on BLM 1.1, 2.1and 3.1. Collect Checklist on BLM 1.5
Home Activity or Further Classroom Consolidation
Students should continue their preparation for the final examination.
MAP4C: On My Own CPT (March 2011)
Encourage students
to spend extra time
on their work before
they begin the
examination review.
Teachers should
review student work
and provide feedback
to ensure students
remain engaged and
perform to their
potential.
Page 28 of 38
TEACHER BLM: 3.1 On My Own Day 3 – Catch Up / Polish
Task / Exam Review
Write the following on the blackboard:
This day is intended to:
1)
2)
3)
4)
5)
Catch up if you are falling behind according to the timelines of your project.
Revise/polish your floor plan design.
Check your area calculations.
Examine the rubric further more and confirm the requirements of the project.
Review for the final examination.
Complete the checklist (1.5) before you hand in your work.
MAP4C: On My Own CPT (March 2011)
Page 29 of 38
Day 4: On My Own - Determine Mortgage Payments and Budget
MAP4C
Learning Goals
• Design a reasonable budget that organizes and analyzes all your
planned expenses and revenue.
• Determine the total cost of purchasing your future home
• Investigate and explain different types of mortgages.
• Create an amortization table using two different amortization periods.
• Calculate monthly mortgage payments using the TVM Solver for
different amortization periods and communicate the impact these have
on mortgage payments.
Materials
Minds On…
Whole Class Distribute Materials
Distribute student handout (BLM 4.1) to students.
Action!
Individual Completion of Task
Students complete BLM 4.1 using TVM solver or Excel.
Provide students with
copies of the
Mortgage Wise
handout from the
Canadian Bankers
Association.
http://www.cba.ca/ind
ex.php?option=com_
content&view=article
&id=89%3Amortgage
s&catid=41%3Asavin
ginvesting&lang=en&It
emid=55
(A PDF copy is also
available)
Minds On:
5 min
Action:
65 min
Consolidate:
5 min
Total=75 min
Pencils, eraser,
ruler and
calculator
• Handheld
technology
with TVM
Solver or
Spreadsheet
software
• BLM 4.1 Day 4
Student
Handout
• BLM 1.4 Rubric
• BLM 1.5
Student
Checklist
• Student notes
from the
course
Assessment
Opportunities
•
Encourage students
to review the rubric
so they know the
expectations for task.
Consolidate Whole Class  Collection of Materials
Debrief
Students complete Checklist (BLM 1.5) for Day 4
Collect student work on BLM 4.1.
Teachers should
review student work
and provide feedback
to ensure students
remain engaged and
perform to their
potential.
Home Activity or Further Classroom Consolidation
Students need to collect information on the costs associated with legal fees and
mortgage broker’s fee for the next day.
Students should think about the ways in which their budget and mortgages will
be different with significant life changes.
Students should continue their preparation for the final examination.
MAP4C: On My Own CPT (March 2011)
Page 30 of 38
Name: ____________________________
4.1 On My Own Day 4 – Determine Mortgage Payments and
Budget
Use the “Mortgage Wise” handout to answer the following questions:
1)
What important information about mortgages do you need to know?
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______________________________________________________________
______________________________________________________________
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______________________________________________________________
______________________________________________________________
______________________________________________________________
2) What different types of mortgages are available? Explain the difference between each
type of mortgage.
______________________________________________________________
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______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
3) Which mortgage type would you choose? Why?
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
MAP4C: On My Own CPT (January 2010)
Page 31 of 38
4.1 On My Own Day 4 – Determine Mortgage Payments and
Budget (Continued)
Assume that you are provided with a 5% of the purchasing price that
works as a down payment towards purchasing your future home.
4) Using TVM Solver, calculate your monthly mortgage payments. Record your findings in the
table provided below.
Reminders:
• What is your borrowed mortgage amount? _____________________
•
What is the interest rate for the mortgage? _________
•
What is the amortization period to repay the mortgage? _______
N=
Mortgage Option #1
Amortization = ___ years
Mortgage Option#2
Amortization = ___ years
I%=
PV=
PMT=
FV=
P/Y=
C/Y=
Begin/End
Σ Int (1,___)=
MAP4C: On My Own CPT (January 2010)
Page 32 of 38
4.1 On My Own Day 4 – Determine Mortgage Payments and
Budget (Continued)
5) Use the data contained in the accommodation information flyer and articles provided on the
first day (1.2 Announcing “The Magnificent” Condominium) to design a reasonable
monthly budget. Your budget will:
• organize and analyze your planned expenses (variable and fixed) of purchasing your
future home,
• organize and analyze your income.
Record your findings in the table provided below, or use a spread sheet (e.g. Excel) to create a
monthly budget and perform all cost calculations. Remember to attach a hard copy of your
monthly budget if you choose to use a spreadsheet.
Calculate your net monthly salary:
Gross yearly salary
= ____________
Gross monthly salary = ____________
Net monthly pay
= ____________
Income
Net Salary
Fixed
(70% of gross monthly salary)
Monthly Amount ($)
Variable
Total
Expenses
Mortgage payment
Property tax (0.08% of value of
condo)
Maintenance costs (See Day 1)
Food
Utilities (electricity and water)
Transportation (gas, insurance,
maintenance, bus pass...)
Personal (clothing, entertainment,
fitness..)
Total Expenses
Savings =
Total Income – Total Expenses
MAP4C: On My Own CPT (January 2010)
Page 33 of 38
4.1 On My Own Day 4 – Determine Mortgage Payments and
Budget (Continued)
6) Compare and examine the two amortization options from question 4. Which amortization
period would you choose?
Amortization Period:
7) Give reasons to justify your chosen amortization period. Keep in mind:
• your total income should be more than your total expenses.
• you want to minimize the total interest paid over the amortization period.
• your monthly mortgage payment should be no more than 35% of your gross
monthly salary. (Gross Debt Ratio).
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______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
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8)
What are some possible strategies that would accelerate the process of repaying your
mortgage?
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
Complete the checklist (1.5) before you hand in your work.
MAP4C: On My Own CPT (January 2010)
Page 34 of 38
Day 5: On My Own – Closing Costs and Adjusting Your Plan
Minds On:
5 min
Action:
65 min
Learning Goals
• Calculate closing costs
• Make adjustments to your budget to accommodate changes in
circumstances (e.g., getting married, having children,, getting
relocated, and losing your job)
Consolidate:
5 min
Total=75 min
Minds On…
Whole Class Distribute Materials
Distribute student handout (BLM 5.1) to students.
Action!
Individual Completion of Task
Students complete BLM 5.1
Consolidate Whole Class  Collection of Materials
Debrief
Students complete Checklist (BLM 1.5) for Day54
Collect student work on BLM 5.1.
MAP4C
Materials
• Pencils, eraser,
ruler and
calculator
• BLM 5.1 Day 5
Student
Handout
• BLM 1.4 Rubric
• BLM 1.5
Student
Checklist
• Student notes
from the
course
Assessment
Opportunities
Encourage students
to review the rubric
so they know the
expectations for task.
During the activity,
teacher may circulate
to ensure that
students are referring
to their previous plan.
Home Activity or Further Classroom Consolidation
Students should continue their preparation for the final examination.
MAP4C: On My Own CPT (January 2010)
Page 35 of 38
Name: ____________________________
5.1 On My Own Day 5 – Closing Costs and Adjusting Your
Plan
1) Closing Costs and Down Payment:
Closing costs are one-time expenses paid at the time you take possession of your
condominium. To cover the closing costs and the down payment you can assume
that you have enough savings which you have compiled over the years. You are
still required though to calculate these costs and compute the total.
•
•
•
•
•
Down Payment (5% is the minimum)
Land Transfer Tax (One time property transfer tax payable to Government at the time
of closing the sale: assume 1% of price of condominium).
Legal fees and Disbursements
Mortgage Broker’s Fee
CMHC Mortgage Insurance fees. (Most banks and lenders require buyers to take CMHC
Mortgage insurance if the down payment is less than 35%. See chart on the next page.)
Loan Amount (as a percent of the total
home value)
Up to and including 95%
Up to and including 90%
Up to and including 85%
Up to and including 80%
Up to and including 75%
Up to and including 65%
Fee (as a percent of the loan)
3.75
2.50
2.00
1.25
0.75
0.50
Calculations:
Closing Costs
Down Payment
Land Transfer Tax
Legal fees and Disbursements
Mortgage Broker’s Fee
CMHC Mortgage Insurance fees
Total Closing Costs
MAP4C: On My Own CPT (January 2010)
Page 36 of 38
5.1 On My Own Day 5 – Closing Costs and Adjusting Your
Plan (Continued)
2) One of the essential values in our Catholic faith is to honour the important role of the family
in our society. How would you alter your current plan for each possible life change? Be sure
to give details of the life-style changes you would make and describe any changes to your
budget.
•
Getting married?
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
•
Having children?
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
MAP4C: On My Own CPT (January 2010)
Page 37 of 38
5.1 On My Own Day 5 – Closing Costs and Adjusting Your
Plan (Continued)
3) The current economic situation is cause for concern. The impact is being felt everywhere.
Being relocated or losing your job could be an outcome of this economic turmoil! In the
space provided below, explain how you would revise your current plan to fit each
circumstance. Be sure to give details of the changes you would make and describe any
changes to your budget.
•
Getting re-located?
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
•
Losing your job?
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
______________________________________________________________
Complete the checklist (1.5) before you hand in your work.
MAP4C: On My Own CPT (January 2010)
Page 38 of 38