MATHEMATICS DEPARTMENT
Course Code: MAP4C
Course Name: Foundations for College Mathematics
Level: Grade 12 College
Instructor:
Period:
Room Number:
Course Overview:
This course enables students to broaden their understanding of real-world applications of mathematics. Students will analyse data using
statistical methods; solve problems involving applications of geometry and trigonometry; solve financial problems
connected with annuities, budgets, and renting or owning accommodation; simplify expressions; and solve equations. Students will reason
mathematically and communicate their thinking as they solve multi-step problems. This course prepares students for
college programs in areas such as business, health sciences, and human services, and for certain skilled trades.
Prerequisite: Foundations for College Mathematics, Grade 11, College Preparation, or
Connection to our Catholic Faith:
Students
will applyStrands
Catholic values
pose and solve
to make logical include:
decisions, and to become critical thinkers who share their
Specific
ofto Study
andproblems,
Expectations
abilities for the benefit of all in their classroom and school community. A supportive mathematics classroom provides a caring and sensitive
environment where the dignity and value of all students is respected and affirmed as they grow in confidence in their mathematical abilities.
Mathematical investigations will promote a respect for God’s creation and an understanding of the need to use resources wisely. A student
will become self-directed, responsible and life-long learner in the mathematics classroom.
Specific Strands of Study and Expectations include:
MATHEMATICAL MODELS
1. Evaluate powers with rational exponents, simplify algebraic expressions involving exponents, and solve problems involving exponential equations
graphically and using common bases.
2. Describe trends based on the interpretation of graphs, compare graphs using initial conditions and rates of change, and solve problems by
modelling relationships graphically and algebraically.
3. Make connections between formulas and linear, quadratic, and exponential relations, solve problems using formulas arising from real-world
applications, and describe applications of mathematical modelling in various occupations.
PERSONAL FINANCE
1. Demonstrate an understanding of annuities, including mortgages, and solve related problems using technology.
2. Gather, interpret, and compare information about owning or renting accommodation, and solve problems involving the associated costs;
3. Design, justify, and adjust budgets for individuals and families described in case studies, and describe applications of the mathematics of personal
finance.
GEOMETRY AND TRIGONOMETRY
1. Solve problems involving measurement and geometry and arising from real-world applications.
2. Explain the significance of optimal dimensions in real-world applications, and determine optimal dimensions of two-dimensional shapes and threedimensional figures;
Efforts
willusing
beprimary
madetrigonometric
to meet ratios
the ofindividual
learning
inincluding
order to
ensure
thfrom
3. Solve
problems
acute and obtuse
angles, theneeds
sine law,of
andstudents
the cosine law,
problems
arising
real-world applications, and describe applications of trigonometry in various occupations.
DATA MANAGEMENT
1. Collect, analyse, and summarize two-variable data using a variety of tools and strategies, and interpret and draw conclusions from the data.
2. Demonstrate an understanding of the applications of data management used by the media and the advertising industry and in various occupations.
Efforts will be made to meet the individual learning needs of students in order to ensure
these expectations are being met.
Course Breakdown
to ensure
Chapter
1:
Chapter 2:
Chapter 3:
Chapter 4:
Chapter 5:
Chapter 6:
Chapter 7:
Chapter 8:
these
Measurement and Geometry
Trigonometry
Two-Variable Statistics
Apply Data Management
Graphical Models
Algebraic Models
Annuities and Mortgages
Budgeting
Resources: The course will use a variety of resources including video, CDROM, Internet Applications and a variety of print sources. The textbook,
McGraw-Hill Ryerson, Foundations for College Mathematics, will be
distributed to students during the first week of the course. The text and all
other resources assigned to students are the responsibility of the student. Any
damage incurred will result in payment for replacement ($90.00).
Evaluation Structure:
Knowledge/Understanding
30 %
Application
30 %
Communication
20 %
Thinking
20 %
The above is reflected both in the term work (worth 70% of the final mark) and
the summative work (worth 30% of the final mark). Summative work consists
of the Final Exam and a Culminating Activity.
Evaluation Policy Students will be assessed & evaluated according to the work produced & skills displayed. Methods of providing
feedback will include assessing work in process & evaluating completed assignments, tests, co-operative learning activities, simulations
and presentations. Peer & self-evaluations will also be utilized. Student marks will be determined by evaluating process & product
according to 4 categories & 4 levels. Please see the chart below for specific skills and key words used to determine student competency
in the different categories.
Level
Level 1:
Level 2:
Level 3:
Level 4:
Category
50-59%
60-69%
70-79%
80-100%
Knowledge/Understanding
-Limited display
-Some success
-Considerable
-Thorough
of knowledge,
in displaying
display of
understanding of
 Knowledge of facts & terms
knowledge,
knowledge skills
concepts and
 Understanding of concepts & relationships skills and ability
to apply
skills and
and ability to apply ability to
Thinking/Inquiry
concepts
application of
concepts
communicate,
 Critical thinking skills
concepts
think creatively
 Creative thinking skills
and apply concepts
 Inquiry Skills
Communication
 Communication of ideas and information
 Use of symbols & visuals
 Oral & written communication
Application
 Applications in familiar contexts
 Transfer of concepts to new contexts
 Making logical conclusions and predictions
 Use of technology
 Making connections
Feedback will also be provided for student learning skills. Skills like working independently, team work, organization, work habits and
homework, and initiative are assessed independently student achievement and will be conducted through the use of a rubric indicating
specific criteria to be achieved to receive each of the following letter grades:
E –Excellent
G – Good
S – Satisfactory
N - Needs Improvement
Other Evaluation Issues





LATE ASSIGNMENTS. Assignments submitted after the Primary Due Date established by the teacher will be accepted with a penalty
of 5% off for the first day late and 2% for subsequent days to a maximum of 10%. This four day Penalty Zone is the maximum time
allowed for submissions. The fourth day after the assignment is due is considered the Closure Date upon which no further
assignments will be accepted. If the teacher returns the marked assignments within the four day penalty zone, the date of return is
considered the closure date. Repeated lateness in submissions indicates poor organization skills and will result in parental contact
and will be reflected in the learning skills section of the report card.
INCOMPLETE ASSSIGNMENTS Assignments will be graded according to the extent with which they meet the criteria established in
the rubric or evaluation structure.
MISSED TESTS Tests missed with a legitimate reason will be written within a few days of the student returning from the absence.
Student eligibility to write the test and the date of writing will be at the discretion of the teacher in consultation with the
department head.
CULMINATING ACTIVITIES These activities will be due toward the end of the course. They are valued between 5 and 15 per cent of
the final mark and will reflect course material and competencies not otherwise reflected on the final exam.
Plagiarism in any form reflects academic dishonesty and will result in a mark of zero for the assignment in question