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Mathematics Backward Design Planning*
Name: Ashley McMurchy
Date: November 7th, 2012
Grade: Ten
Strand: Workplace and Apprenticeship Mathematics
Stage 1 – Identify Desired Results
Established Goal(s):
G
Curriculum Outcome: WA10.11 Demonstrate understanding of income
including: wages, salary, contracts, commissions, piecework, self-employment,
gross pay, and net pay.
Achievement Indicators:
a) Describe, using examples, various methods of earning income
b) Research and record jobs that commonly use different methods of earning
income, including hourly wage, wage and tips, salary, commission, contract,
bonus, and shift premiums.
c) Describe the advantages and disadvantages for a variety of methods of earning
income, such as hourly wage, tips, piecework, salary, commission, contract work,
and self-employment.
Prior Knowledge:
No prior knowledge is required, although knowing different ways of
earning income would benefit the discussion in the setting of the lesson.
Strategies Used or Type of
Reasoning Students are
Developing
-
Mathematical Processes Used:
Connections [C]
Visualization [V]
Critical thinking
Representation strategy
Retrieval strategy
Understanding(s):
[U1] Students will understand that there is
more than one method of earning income.
Technology [T]
Communication [CM]
U
Essential Question(s):
EQ
[EQ1] What are different ways of earning
income?
[U2] Students will understand the advantages [EQ2] What are examples of different ways of
and disadvantages of different methods of earning income?
earning income.
[EQ3] What are the advantages and
disadvantages of each type of method of
earning income that I have asked you to
research?
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Knowledge:
K Skills:
Students will know:
1. various methods of earning income
2. examples of various methods of
earning income
3. the advantages and disadvantages
of various methods of earning
income
S
[S1] As a class, all students will build on
their communication skills using
brainstorming and discussion.
[S2] In groups, all students will be able to
work effectively in groups using internet
collaboration.
[S3] Individually, all students will be able to
compare/contrast multiple methods of
earning income.
[S4] In groups, all students will be able to
develop critical thinking skills and be able to
evaluate the credibility of information on
websites.
[S5] In groups, all students will be able to
develop communication and presentation
skills.
Stage 2—Determine Acceptable Evidence
Performance Task(s):
T Other Evidence:
[PT1] Students will brainstorm various
methods of earning income as a class.
OE
[OE1] Students will be asked to hand
in/email me a copy of their findings.
[PT2] Students will present the assigned [OE2] Students will complete a Google
method of earning income in groups to form.
their class.
Stage 3—Plan Learning Experiences & Instruction
Learning Activities:
L Adaptive Dimensions
Set (5 minutes):
- As students enter the classroom,
write the unit’s outcome on the
board as well as the lesson
indicators for today.
- Notify students that we are starting
a new unit: Understanding Income.
- Ask a student to volunteer to read
the outcome and indicators on the
board.
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Development 1 (5-10 minutes):
- Ask students: What are different
methods of earning income? Also,
ask them to provide an example of a
job that might use this method of
earning income. [CM] [C] [U1]
[EQ1] [EQ2] [K1] [K2] [S1] [PT1]
- Note: while brainstorming, ask a
student to volunteer to write the
ideas on mindmeister.com on the
Smart board. (mindmeister is an
online mind mapping website). [T]
[V]
- An example of what this might look
like can be found at:
http://mindmeister.com/222373634/
methods-of-earning-income
or see “Mindmeister Mind Map”
Development 2 (30 minutes):
- Hand out sheet “Methods of
Earning Income Worksheet”
- Go through instructions with class.
Note: Do not let them get into
groups until after you have gone
through the whole handout so
students are not moving around and
unfocused. Also before splitting up
into groups, remind students of the
classroom cyber rules that is posted
in the classroom (see “Cyber Rules
Poster”). [CM] [T] [V] [U2] [EQ3]
[K1] [K2] [K3] [S2] [S4] [OE1]
Choices for methods of earning income:
- Wages
- Wages and tips
- Contract
- Salary
- Commission
- Piecework
- Self-employment
- Bonus
- Shift Premium
-
-
-
-
-
-
If students had originally thought
“methods of earning income” as I
did (as in how to earn money), then
provide an example (commission).
Could also call this remuneration.
The purpose of writing the ideas on
the mindmeister.com is so that
students can see this visually, in
case any student missed class, or to
have a copy in case you would like
to look back at what the students
have come up with.
Book a computer lab if students do
not have technology that they can
use to get the information. If
possible, allow students to work
both in the classroom and in the
computer lab so students have
more room to work and for a
quieter environment. If groups are
not behaving, move them to one
room so you can monitor them
more closely.
For those who do not like
presenting in front of the class, they
do have other options for showing
their information such as
voicethread, YouTube, or any other
way that they can think of (just get
them to check it with you first!).
If class appears to be done the task
(off-topic discussions, unrelated
sites on the computers, etc.) then
begin presentations.
If some groups are done early, get
them to find any useful material
about methods of earning income
and get them to send you the
website they found and what they
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learned from it.
For Entrepreneurs, Bonuses, and
Shift Premium, these require a bit
more work. Assign these to high
achieving students (see Methods of
Earning Income Teacher Notes).
Development 3 (10-15 minutes)
- Begin presentations
- Ask for volunteers to go first. If
you do not get volunteers, draw
names from popsicle sticks.
- Note: you may not get through all
the presentations today. If so, the
rest will present the next day. [CM]
[V] [T] [U2] [K1] [K2] [K3] [S4]
[PT2]
Closure (5 minutes):
- notify students that they will be
presenting their methods of earning
income next class if you didn’t get
through all presentations.
- Ask those who presented to post
their information onto their blogs
for everyone else to see. [T]
- Ask students to fill out Google
Docs Form before the next class.
(Go to: http://bit.ly/PqtoMM or see
“Understanding Income Form”).
[T] [S3] [OE2]
-
Note: The purpose of the exit ticket
is to deepen their understanding
and to answer the big question as
to WHY companies might use
different methods of earning
income. Since this is an opinion
question, this builds on their
critical thinking skills.
*Adapted from Tomlinson and McTighe, Integrating Differentiated Instruction + Understanding by Design, ASCD, 2006.
Adaptations Made by Ashley McMurchy
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Cyber Rules Poster
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Methods of Earning Income Worksheet
-
In groups of 2 or 3, you will be researching a method of earning
income that I have assigned to you. Note: I will be picking
groups!
-
You will complete the questions listed below and then you will
present this to the class. Visuals would be great for everyone so
try and find a way to present your information in a visually
pleasing manner. Be CREATIVE! For example, use prezi,
powerpoint, photostory, or create a youtube video or
voicethread (with you speaking!).
-
Plan your presentation to be between 3-5 minutes.
When you have completed the task, you will present your
information to the class and post this presentation to your blog
so your classmates can have access to this outside of class.
-
REMEMBER: this is a group project so make sure to use a
program/site on the computer so that your group can all use it
at the same time to post information. Ex. Google Docs
-
REMEMBER: about cyber safety and use netiquette!
Questions
1. What is the definition of your method of earning income? (1)
2. What are the advantages and disadvantages of this method of
earning income? (2 each)
3. What are some examples of jobs that might get paid using this
method? (not ones mentioned in class) (2)
Make sure to provide a list of resources! (do not need to present
this but do include!)
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Teacher Copy of Method of Earning Income Worksheet (examples of answers)
Wages
1. Compensation received by employees for services performed. Usually, wages are
computed by multiplying an hourly pay rate by the number of hours worked.
2. Advantages: get paid for the time that you worked; easy to calculate budget.
Disadvantages: usually don’t get bonuses; breaks/lunchtime is usually a preset time
(don’t get to choose); usually have to punch into the “time clock.”
3. Cashier, retail, grocery store, convenience clerk
Wages and tips
1. Getting paid an hourly wage as well as receiving extra money from a client as a reward
for their service.
2. Advantages: those who provide good service will receive more money than those who
are “slackers;” earn more money than just wages alone (in general). Disadvantages:
may not receive any tips if customer had a bad experience that may have been out of
your control.
3. Waitress/Waiter, gas attendant, delivery drivers
Contract
1. A legal agreement that outlines terms, conditions, and payments for work to be done.
2. Advantages: allows you to change jobs regularly; get paid overtime; usually get paid
more than if hired as full-time staff. Disadvantages: usually don’t work with one
company, often for several; no benefits (usually); difficulty finding consistent workload.
3. Plumbers, construction workers, electricians
Salary
1. A fixed regular payment, typically paid on a monthly or biweekly basis but often
expressed as an annual sum.
2. Advantages: same amount of money each check (easier for budgeting); does not need
to be constantly monitored. Disadvantages: not eligible for overtime; pay may not
reflect amount of effort put into work.
3. Teacher, nurse, manager
Commission
1. An amount, usually a percentage, paid to someone for a business transaction.
2. Advantages: reward for performance; can be with wages or without. Disadvantages:
not easy for budgeting; if business is slow, may not earn a lot of money
3. Real estate agent, car salesman, furniture salesman
Piecework
1. When someone is paid a set rate for an amount produced.
2. Advantages: rewarded for quick performance; pay is more equal based off of
performance and quality. Disadvantages: not easy for budgeting, quality of work may be
decreased.
3. Sweatshop worker, car assembly line, factory worker
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Self-employment
1. A person who works for him- or herself rather than for an employer.
2. Advantages: do work that you love; job security (you are your own boss so you can’t fire
yourself). Disadvantages: no benefits (sometimes); not easy to budget (unsteady pay).
3. Entrepreneurs (list different kinds of entrepreneurs)
Bonus
1. Extra pay earned when certain conditions of employment for non-standard work hours.
2. Advantages: more money than just wages; rewarded for performance. Disadvantages:
can cause unsteady paychecks (budgeting); have to pay income tax on bonuses.
3. Management, retail, business administration. (list different kinds of bonuses)
Shift Premium
1. Extra payment for non-standard work hours.
2. Advantages: earn more money on top of wage; rewarded for working uncommon hours.
Disadvantages: unstable checks (budgeting); uncommon hours.
3. Cashier, night cleaners (list different kinds of shift premium)
**Definitions taken from Math Works 10 textbook
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Understanding Income Form