Citadel High Mathematics Department
MATH 11 PRE CALCULUS COURSE OUTLINE
Prerequisite: Successful completion of Mathematics: Grade 11
Textbook: Pre-Calculus 11 (McGraw-Hill Ryerson, 2011)
Course Outline:
Sequences and Series: Assessment 15%
· Students will be expected to analyze arithmetic sequences and series to solve problems.
· Students will be expected to analyze geometric sequences and series to solve problems
Quadratics: Assessment 30 %
· Students will be expected to factor polynomial expressions of the following form where a, b, and c are rational numbers.
o ax2 + bx + c,
o a2x2 – b2y2, ,
o a[f(x)]2 + b[f(x)] + c,
o a2[f(x)]2 – b2[g(y)]2, ,
· Students will be expected to analyze quadratic functions of the form y = a(x – p)2 + q and determine the vertex, domain and range, direction of opening, axis of symmetry,
x-intercept, and y-intercept.
· Students will be expected to analyze quadratic functions of the form y = ax2 + bx + c to identify characteristics of the corresponding graph, including vertex, domain and range, direction of opening, axis of symmetry, x-intercept and y-intercept, and to solve problems.
· Students will be expected to solve problems that involve quadratic equations.
System of Equations and Inequalities Assessment 15%
· Students will be expected to solve, algebraically and graphically, problems that involve systems of linear-quadratic and quadratic-quadratic equations in two variables.
· Students will be expected to solve problems that involve linear and quadratic inequalities in two variables.
· Students will be expected to solve problems that involve quadratic inequalities in one variable.
Radicals and Trigonometry: Assessment 20 %
· Students will be expected to solve problems that involve operations on radicals and radical expressions with numerical and variable radicands.
· Students will be expected to solve problems that involve radical equations (limited to square roots).
· Students will be expected to demonstrate an understanding of angles in standard position
(0° to 360°).
· Students will be expected to solve problems, using the three primary trigonometric ratios for angles from 0° to 360° in standard position.
Rations Equations and Absolute Value and Reciprocal Functions: Assessment 25 %
· Students will be expected to demonstrate an understanding of the absolute value of real numbers.
· Students will be expected to determine equivalent forms of rational expressions (limited to numerators and denominators that are monomials, binomials, or trinomials).
· Students will be expected to perform operations on rational expressions (limited to numerators and denominators that are monomials, binomials, or trinomials).
· Students will be expected to solve problems that involve rational equations (limited to numerators and denominators that are monomials, binomials, or trinomials).
· Students will be expected to solve, algebraically and graphically, problems that involve systems of linear-quadratic and quadratic-quadratic equations in two variables.
· Students will be expected to graph and analyze reciprocal functions (limited to the reciprocal of linear and quadratic functions).
Assessment:
Mathematics courses require commitment and students must take responsibility for achieving the outcomes. Students need to make sure that they keep up with the work and seek help early if they encounter difficulties before they become insurmountable. Extra help and tutoring are available at lunch hour.
Final Assessment: / 80% Course Outline20% Final Exam
Communication of Student Achievement:
A collaborative effort of all stakeholders (student / parent/ teacher) is important to ensure student academic success. In an effort to maintain communications, a number of avenues are available.
· Class Web sites are updated daily
· Marks and attendance can be checked at any time on the Parent/ Student Portal of Powerschool. (If you do not have a password for the portal, please contact the main office)
· The Auto-dialler calls home regarding unexcused absences and upcoming events.
· Parents and students are encouraged to contact the teacher via email if they have any concerns regarding academic progress.
· Formal reporting periods include:
o Curriculum night
o Progress Reports
o Parent/teacher interviews
Creating a Positive Learning Environment:
To maximize the opportunities for success it is important:
ü To be on time and prepared with the necessary materials and text
ü To display proper classroom etiquette and participate in classroom activities
ü To complete all assigned homework
ü To continuously review covered materials in preparation for periodic probes and quizzes
ü To adequately prepare for all tests
ü To assume full responsibility for any or all missed class work or assessments
ü To attend offered or available extra help sessions when needed
ü
We look forward to working with you and hope that we can help you meet your goals with great success.