MATHEMATICS DEPARTMENT
Course Code: MFM 2P1
Course Name: Foundations of Mathematics
Level: Grade 10 Applied
Instructor:
Period:
Room Number:
Course Overview:
This course enables students to consolidate their understanding of linear relations and extend their problem-solving and
algebraic skills through investigation, the effective use of technology, and hands-on activities. Students will develop and graph
equations in analytic geometry; solve and apply linear systems, using real-life examples; and explore and interpret graphs of
quadratic relations. Students will investigate similar triangles, the trigonometry of right triangles, and the measurement of
three-dimensional figures. Students will consolidate their mathematical skills as they solve problems and communicate their
thinking.
Connection to our Catholic Faith:
Students will apply Catholic values to pose and solve problems, to make logical decisions, and to become critical thinkers who share their
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:
MEASUREMENT AND TRIGONOMETRY
* use their knowledge of ratio and proportion to investigate similar triangles and solve problems related to similarity;
* solve problems involving right triangles, using the primary trigonometric ratios and the Pythagorean theorem;
* solve problems involving the surface areas and volumes of three-dimensional figures, and use the imperial and metric
systems of measurement.
1. Solving Problems Involving Similar Triangles
2. Solving Problems Involving the Trigonometry of Right Triangles
3. Solving Problems Involving Surface Area and Volume, Using the Imperial and Metric Systems of Measurement
MODELLING LINEAR RELATIONS
* manipulate and solve algebraic equations, as needed to solve problems;
* graph a line and write the equation of a line from given information;
* solve systems of two linear equations, and solve related problems that arise from realistic situations.
1. Manipulating and Solving Algebraic Equations
2. Graphing and Writing Equations of Lines
3. Solving and Interpreting Systems of Linear Equations
QUADRATIC RELATIONS OF THE FORM: y  ax 2  bx  c
* manipulate algebraic expressions, as needed to understand quadratic relations;
* identify characteristics of quadratic relations;
* solve problems by interpreting graphs of quadratic relations
1. Manipulating Quadratic Expressions
2. Identifying Characteristics of Quadratic Relations
3. Solving Problems by Interpreting Graphs of Quadratic Relations.
Efforts will be made to meet the individual learning needs of students in order to ensure
these expectations are being met.
Course Breakdown
Resources: T he course will use a variety of resources including video, CD-ROM,
Unit 1: Measurement Systems and Similar
Triangles
Unit 2: Right Triangle Trigonometry
Unit 3: Linear Relations
Unit 4: Linear Equations
Unit 5: Linear Systems
Unit 6: Quadratic Reasoning
Unit 7: Quadratic Expressions
Unit 8: Represent Quadratic Relations
Unit 9: Volume and Surface Area
Internet Applications and a variety of print sources. The textbook, McGraw Hill
(Foundations of Mathematics 10) , 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. Replacement cost for the text is $100.00.
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
skills
and
ability
knowledge,
knowledge
concepts and
 Understanding of concepts & relationships
to
apply
skills
and
skills
and
ability to
Thinking/Inquiry
concepts
application of
ability to apply communicate,
 Critical thinking skills
concepts
concepts
think creatively
 Creative thinking skills
and apply
 Inquiry Skills
concepts
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 such as responsibility, organization, independent work, collaboration, initiative and self
regulation 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
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
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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