SOLUTION: Meadowvale Secondary School Environmental Issue Through Mathematics Worksheet

TVO ILC
MHF4U 4.8
Culminating Task: Making the World a Better Place
Culminating Task: Making the World a Better Place
Part of the evaluation of this course will be in the form of a Culminating Task, worth 15% of
your final course work.
In this activity you will explore connections between the concepts learned in this course
and environmental issues. Specifically, you will create a mathematical model and visual
representations to provide evidence to convince investors that a way to improve an
environmental issue of your choice would be a worthy project in which to invest.
Overview
You have decided that you are going to make a pitch to the hosts of a reality TV show where
entrepreneurs request funding for projects, or products, designed to reduce the damage to
the environment caused by human activity.
Your pitch must combine a compelling reason why your initiative should be supported, with
evidence that justifies the need for action. You will research and collect secondary data,
use the data to create graphical and algebraic models, make predictions based on your
algebraic model and create a visual presentation using the media/ platform of your choice
(PowerPoint, WordPress, Prezi, Weebly, iMovie, Show Me, Blogger, Tumblr, YouTube, etc.).
The function used to create your algebraic model must be one of the types of functions
(polynomial of degree 3 or higher, exponential, logarithmic or trigonometric) covered in this
course.
Step 1:
Identify and describe an environmental issue and a proposed way to reduce impact and
improve outcomes. The proposal could be as simple as a campaign to convince people to
change daily habits that are harmful to the environment or as complex as developing a new
environmentally friendly product or process.
Step 2:
Research secondary data from a reliable source and create a mathematical model to predict
outcomes if no action to reduce harmful effects is taken.
Step 3:
Create algebraic and graphic representations of your model and provide a brief, but
convincing, description of the benefits of your proposal.
Task Checklist
This assessment is out of 60 marks and is worth 15% of your final mark. You will submit
your Culminating Task upon completion of Unit 4 where you will be prompted at the end of
the final learning activity to submit your assessment for feedback and a grade by selecting
the “Assignments” link and following the submission directions.
Copyright © 2018 The Ontario Educational Communications Authority. All rights reserved.
1
TVO ILC
MHF4U 4.8
Culminating Task: Making the World a Better Place
Your proposal should contain the following elements:
Task Checklist Item
Weight
(No. of
marks)
A description of the environmental issue that needs to be addressed.
2
A description of the product or change in behaviour that could reduce the damage
caused by the environmental issue, with justification.
5
A set of secondary data from a reliable source, in table form, pertaining to the
environmental issue. It must be appropriate for modeling with one of the types of
functions studied in this course: polynomial of degree 3 or higher; exponential;
logarithmic or trigonometric. A spreadsheet (Excel, Google Sheets etc.) could be used to
create the table and would facilitate graphing the data.
8
The APA reference for the data set.
2
A scatter plot of the data including appropriate titles, scales and units, created with the
graphing technology of your choice.
5
An algebraic model that fits the data. The model can feature one of the functions
mentioned above or could be a combination or composite of two of those functions.
The choice of model should be based on visual inspection of data trends observed and
does not need to be supported by statistical analysis, which is beyond the scope of this
course.
5
An explanation of how the algebraic model was determined, including justification for the
choice of parent function (or combined or composite function) and any transformations
used to model the data.
5
restrictions on the domain of your function and a description, including justification, of
potential limitations of the algebraic model as it applies to correlation with the data and
the ‘real world’ context.
5
A graph of the algebraic model, including appropriate titles, scales, units, and restrictions
on the domain, created with graphing technology, and superimposed on the scatter plot.
5
At least one calculation using the algebraic model to make a prediction, or for emphasis.
3
A brief sales pitch, using the graph as evidence, and calculations involving the algebraic
model to make predictions to convince the reality TV show panel that your proposal
deserves support.
10
Correct use of mathematical terminology and conventions throughout.
5
Copyright © 2018 The Ontario Educational Communications Authority. All rights reserved.
2
TVO ILC
MHF4U 4.8
Culminating Task: Making the World a Better Place
The teacher will assess your work using the following rubric. Before submitting your
assessment, review the rubric to ensure that you are meeting the success criteria to the best
of your ability.
Categories
Knowledge and
Understanding
Level 4
Level 3
Level 2
Level 1
(80 – 100%)
(70 – 79%)
(60 – 69%)
(50 – 59%)
A data table is
created with a
high degree of
effectiveness.
A data table is
created with
considerable
effectiveness.
A data table
is created
with some
effectiveness.
A data table
is created
with limited
effectiveness.
Graphing
technology is
used to create
the required
graphs with a
high degree of
effectiveness.
Graphing
technology is
used to create
the required
graphs with
considerable
effectiveness.
Graphing
technology
is used to
create the
required graphs
with some
effectiveness.
Graphing
technology
is used to
create the
required graphs
with limited
effectiveness.
Calculations
using the
algebraic model
are carried
out with a
high degree of
effectiveness.
Calculations
using the
algebraic
model are
carried out with
considerable
effectiveness.
Calculations
using the
algebraic model
are carried
out with some
effectiveness.
Calculations
using the
algebraic model
are carried out
with limited
effectiveness.
Copyright © 2018 The Ontario Educational Communications Authority. All rights reserved.
3
TVO ILC
MHF4U 4.8
Culminating Task: Making the World a Better Place
Thinking
A clear link
between the
environmental
issue, and
the product or
initiative being
proposed to
mitigate it, is
established with
a high degree of
effectiveness.
A clear link
between the
environmental
issue, and
the product or
initiative being
proposed to
mitigate it, is
established with
considerable
effectiveness.
A clear link
between the
environmental
issue, and
the product or
initiative being
proposed to
mitigate it, is
established
with some
effectiveness.
A clear link
between the
environmental
issue, and
the product or
initiative being
proposed to
mitigate it, is
established
with limited
effectiveness.
The algebraic
model
represents the
data with a
high degree of
effectiveness.
The algebraic
model
represents
the data with
considerable
effectiveness.
The algebraic
model
represents the
data with some
effectiveness.
The algebraic
model
represents the
data with limited
effectiveness.
Restrictions on
the domain and
limitations of
the model suit
the context, and
they take into
consideration
the correlation
between the
algebraic
model and the
data, with a
high degree of
effectiveness.
Restrictions on
the domain and
limitations of
the model suit
the context, and
they take into
consideration
the correlation
between the
algebraic
model and
the data, with
considerable
effectiveness.
Restrictions on
the domain and
limitations of
the model suit
the context, and
they take into
consideration
the correlation
between the
algebraic model
and the data,
with some
effectiveness.
Restrictions on
the domain and
limitations of
the model suit
the context, and
they take into
consideration
the correlation
between the
algebraic model
and the data,
with limited
effectiveness.
Copyright © 2018 The Ontario Educational Communications Authority. All rights reserved.
4
TVO ILC
MHF4U 4.8
Culminating Task: Making the World a Better Place
Application
Appropriate
secondary data
is selected with
a high degree of
effectiveness.
Appropriate
secondary data
is selected with
considerable
effectiveness.
Appropriate
secondary data
is selected
with some
effectiveness.
Appropriate
secondary data
is selected
with limited
effectiveness.
The process
used to
determine the
algebraic model
is described with
a high degree of
effectiveness.
The process
used to
determine the
algebraic model
is described with
considerable
effectiveness.
The process
used to
determine the
algebraic model
is described
with some
effectiveness.
The process
used to
determine the
algebraic model
is described
with limited
effectiveness.
Transformations
applied to the
chosen parent
function(s) are
appropriate and
are justified with
a high degree of
effectiveness.
Transformations
applied to the
chosen parent
function(s) are
appropriate and
are justified with
considerable
effectiveness.
Transformations
applied to the
chosen parent
function(s) are
appropriate and
are justified
with some
effectiveness
Transformations
applied to the
chosen parent
function(s) are
appropriate and
are justified
with limited
effectiveness.
The algebraic
model is used
to support a
point or make a
prediction within
the presentation
with a high
degree of
effectiveness.
The algebraic
model is used
to support a
point or make a
prediction within
the presentation
with
considerable
effectiveness.
The algebraic
model is used
to support a
point or make a
prediction within
the presentation
with some
effectiveness.
The algebraic
model is used
to support a
point or make a
prediction within
the presentation
with limited
effectiveness.
Copyright © 2018 The Ontario Educational Communications Authority. All rights reserved.
5
TVO ILC
MHF4U 4.8
Culminating Task: Making the World a Better Place
Communication
Mathematical
language
and notation,
throughout
the activity,
are used
Mathematical
language
and notation,
throughout
the activity,
are used
Mathematical
language
and notation,
throughout
the activity,
are used
Mathematical
language
and notation,
throughout
the activity,
are used
with a high
degree of
effectiveness.
with
considerable
effectiveness.
with some
effectiveness.
with limited
effectiveness.
The
environmental
issue is
described with a
high degree of
effectiveness.
The
environmental
issue is
described with
considerable
effectiveness.
The
environmental
issue is
described
with some
effectiveness.
The
environmental
issue is
described
with limited
effectiveness.
The reference
for the data
set is stated in
APA style with a
high degree of
effectiveness
The reference
for the data
set is stated in
APA style with
considerable
effectiveness.
The reference
for the data set
is stated in APA
style with some
effectiveness
The reference
for the data set
is stated in APA
style with limited
effectiveness
Elements of the
activity that are
pertinent to the
presentation
are synthesized
to create a
convincing bid
for support with
a high degree of
effectiveness.
Elements of the
activity that are
pertinent to the
presentation
are synthesized
to create a
convincing
presentation
Elements of the
activity that are
pertinent to the
presentation
are synthesized
to create a
convincing
presentation
with some
effectiveness.
Elements of the
activity that are
pertinent to the
presentation
are synthesized
to create a
convincing
presentation
with limited
effectiveness.
with
considerable
effectiveness.
Copyright © 2018 The Ontario Educational Communications Authority. All rights reserved.
6
TVO ILC
MHF4U 4.8
Culminating Task: Making the World a Better Place
Copyright © 2018 The Ontario Educational Communications Authority. All rights reserved.
7

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