Math 20-1 – Pre-calculus
Course outline
Peace River High School Sept. 2017
Instructors: Mr. Sheets
Welcome to Math 20-1
General Objectives
(As per Alberta Program of Studies)
The main goals of mathematics education are to prepare students to:
Communicate and reason mathematically
Make connections between mathematics and its applications
Engage and persevere in mathematical problem solving
Contribute to mathematical discussions.
Take risks in performing mathematical tasks
Think and reflect independently
Appreciate the value of mathematics throughout history
Course Materials
Textbook- Pre-calculus Mathematics 11, McGraw-Hill Ryerson
Notes and worksheets handed out in the class
Graphing calculator: Texas Instrument TI-83, TI-84 or TI-84 plus
Binder with lined paper & 0.5 cm. graph paper
Geometry Set
Pencils and erasers as well as pens
General Expectations; Requirements for Success in Math 20-1
Attendance is one of the most important factors for academic success. It is expected that you come to class every day on time with the materials you require for class. All notes, handouts and assignments missed due to absence are your responsibility. Please make arrangements with your teacher or with a classmate to obtain missed materials.
If you miss a test due to an excused absence, you may write the test in class on your first day back. A note from your parents and/or guardians excusing the absence will be required.
All exercises and assignmentsare due at the beginning of class; on or before the due date. Class time will frequently be given to work on assignments. It is expected that you will stay on task during these times. As well, there will be regular Success Block time devoted to Review for major exams and assignment completion. Where necessary, remedial tutorials will be offered for students experiencing difficulty with the material. Mature and considerate behavior is expected in class.
Be sure to ask questions to clarify concepts. Please make an appointment with your teacher to ensure you get the help you need. Use Success blocks for assignment completion where necessary.
A daily demonstration of a willingness to participate in class activities and exercises, attending regularly, and showing a consistent, conscientious effort towards the course material will increase your chance of success in this course!
Course Outcomes; as per Alberta Program of Studies
Develop algebraic reasoning and number sense
Develop trigonometric reasoning
Develop algebraic and graphical reasoning through the study of relations
- Algebra and Number:
Demonstrate an understanding of the absolute value of real numbers
Solve problems that involve operations on radicals and radical expressions with numerical and variable radicands.
Solve problems that involve radical equations (limited to square roots)
Determine equivalent forms of rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials)
Perform operations on rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials)
Solve problems that involve rational equations (limited to numerators and denominators that are monomials, binomials or trinomials)
- Trigonometry:
Demonstrate an understanding of angles in standard position [ 0 – 360o ]
Solve problems, using the three primary trigonometric ratios for angles from 0 to 360oin standard position
Solve problems, using the cosine law and sine law, including the ambiguous case.
- Relations and Functions:
Factor polynomial expressions of the form:
Where,, and are rational numbers.
Graph and analyze absolute value functions (limited to linear and quadratic functions) to solve problems.
Analyze Quadratic functions of the form: y = a( x – p)2 + q and determine the vertex, domain, range, direction of opening, axis of symmetry, x and y-intercepts.
Analyze Quadratic functions of the form: y = ax2 + bx + c and identify the characteristics of vertex, domain, range, direction of opening, axis of symmetry, x and y-intercepts.
Solve problems that involve quadratic equations.
Solve algebraically and graphically, problems that involve systems of linear-quadratic and quadratic-quadratic equations in two variables.
Solve problems that involve linear and quadratic inequalities in two variables.
Solve problems that involve quadratic inequalities in one variable.
Analyze arithmetic sequences and series to solve problems.
Analyze geometric sequences and series to solve problems.
Graph and analyze reciprocal functions (limited to the reciprocal of linear and quadratic functions).
Course Schedule
Topic / Unit / Chapter(s) / Time lineRelations & Functions / Unit 1:
Patterns /
- Sequences & Series
(13 classes)
Trigonometry /
- Trigonometry
(13 classes)
Relations & Functions / Unit 2: Quadratics /
- Quadratic Functions
(10 classes)
Relations & Functions /
- Quadratic Equations
(11 classes)
Number / Unit 3:
Functions and Equations /
- Radical Expressions and Equations
(11 classes)
Number/
Relations & Functions /
- Rational Expressions and Equations
(10 classes)
Number/
Relations & Functions /
- Absolute Value and Reciprocal Functions
(9 classes)
Relations & Functions / Unit 4:
Systems of Equations and Inequalities /
- Systems of Equations
(8 classes)
Relations & Functions /
- Linear & Quadratic Inequalities
Review: Jan. 22 & 23
Note: The above dates are a rough estimate of the timeline. It may change according to the needs of the class.
Alberta Program of Studies will be followed for each topic throughout the course.
Assessment & Evaluation
Evaluation (per unit) / Course EvaluationOutcome based tests/Quizzes/Assignments / Unit-1 Patterns 19%
Assignments (Formative) 0% / Unit -2 Quadratics 12%
Quizzes (summative) 30% / Unit -3 Functions & Equations 22%
Unit Tests (summative) 70% / Unit-3 Systems of EQ. & Inequalities 10%
Midterm Exam 7%
Final Exam 30%
Total: 100%
Outcome based tests/Quizzes and Assignments: Each chapter consists of various learning outcomes. Achievement indicators will be used to determine whether students have met the corresponding specific outcomes. Quizzes are summative evaluations and will always be completed in class. Assignments are formative assessments, and will be given in class and may be completed for homework.
Unit Exams:Unit examsare summative in nature and will occur at the completion of each unit.
Midterm and Final Exams: The midterm will take place during the first week of Novemberand will cover material learned up until this point. The final exam will take place during the scheduled final exam week at the end of January and will cover material from the entire course.
Extra Help: Be sure to ask questions to clarify concepts. Please do not hesitate to make an appointment with your teacher to obtain any extra help you may need throughout the course. After school, before school and/or lunch hour tutorials will be available upon request.
Where do we go from here?
The 10-12 Mathematics curriculum is laid out in the following sequence:
“-1” Course Sequence
This course sequence is designed to provide students with the mathematical understandings and critical thinking skills identified for entry into postsecondary programs that require the study of calculus. Topics include algebra and number; measurement; relations and functions; trigonometry; and permutations, combinations and binomial theorem.
“-2” Course Sequence
This course sequence is designed to provide students with the mathematical understandings and critical thinking skills identified for post-secondary studies in programs that do not require the study of calculus. Topics include geometry, measurement, number and logic, logical reasoning, relations and functions, statistics, and probability.
“-3” Course Sequence
This course sequence is designed to provide students with the mathematical understandings and critical thinking skills identified for entry into the majority of trades and for direct entry into the work force. Topics include algebra, geometry, measurement, number, statistics and probability