MATH 20-1
COURSE OUTLINE
Textbook: Pre-Calculus Mathematics 11, Mc Graw-Hill Ryerson
Course Work = 60%
Final Exam = 40%
1. Sequences &
Series
12 classes
Arithmetic Sequences
• definitions and terminology related to arithmetic sequences
• use of the arithmetic sequence formula
• applications with arithmetic sequences
Arithmetic Series
• definitions and terminology related to arithmetic sequences
• use of the arithmetic series formula
• applications with arithmetic series
Geometric Sequences
• definitions and terminology related to geometric sequences
• use of the geometric sequence formula
• applications with geometric sequences
Geometric Series
• definitions and terminology related to geometric series
• use of the geometric series formula
• applications with geometric series
• infinite geometric series
2. Quadratic
Functions
8 classes
Analyze Quadratic Functions of the form y = a(x – p)2 + q
• definition, terminology and properties related to quadratic functions
• graphing quadratic functions with technology and accurately by hand
• analyzing quadratic functions
• vertex (  b )
2a
• domain and range • x-and y-intercepts
• max/min
• axis of symmetry
• completing the square
• transformations of a quadratic function
• determine the equation of a quadratic function
3. Quadratic
Equations
9 classes
Factor Polynomial Expressions
• ax2 + bx + c
• a2x2 – b2y2
Solving Quadratic Equations of the form ax2 + bx + c = 0
• solve by factoring
• solve by completing the square
• use and derive the quadratic formula
Nature of the Roots
Problem Solving with Quadratic Equations
LTCHS M20-1 Course Outline
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4. Nonlinear
Systems &
Inequalities
&
Absolute Value
of Functions
Solve Algebraically and Graphically 2 Variable Problems
• linear-quadratic equations
• quadratic-quadratic equations
Solve Problems with Linear and Quadratic Inequalities
• linear inequalities
• quadratic inequalites
13 classes
Understand Absolute Value of Real Numbers
• determine the absolute value of a numerical expression
• relate distance from zero on a number line to the absolute value of a number
Absolute Value Functions
• sketch and analyze the graph of the absolute value of y = f(x)
• x – intercepts and y – intercepts, domain and range
• solve and verify an absolute value equation graphically and algebraically
• problem solving with absolute value functions
5. Radicals
10 classes
Operations on Radicals
• compare and order radicals with numerical radicands
• mixed and entire radicals
• basic operations with radical expressions
• rationalize the denominator of rational expressions with monomials or
binomials denominators
• solving problems with radical expressions
Solve Problems with Radical Equations
• restrictions, determining roots, verifying, extraneous roots
• solving problems with radical equations (single & double radicals)
6. Rational
Expressions
& Equations
13 classes
Simplify Rational Expressions
• definitions and terminology related to rational expressions
• determine the non-permissible values for a rational expression
Perform Operations on Rational Expressions
• addition, subtraction, mulitplication and division
Solve Problems Involving Rational Equations
• algebraically
• extraneous roots
• word problems
Graph and Analyze Reciprocal Functions
• graphing with and without technology (linear & quadratics)
• asymptotes (relationships with non-permissable values)
LTCHS M20-1 Course Outline
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7. Trigonometry
12 classes
Angles in Standard Position
• angles in standard position and principal angles
• reference angle in different quadrants
Solve Problems with Primary Trigonometric Ratios
• determine the value of sin x, cos x, tan x for any given point P(x,y)
• determine the exact value (without calculator) of sine, cosine, and tangent
of a given angle in the coordinate plane
• solving trig equations involving exact ratios
• develop the CAST rule through describing patterns of sinx, cosx, tanx for
angles from 0o to 360o
Solve Sine and Cosine Law Problems
• review right triangle trigonometry (SOH CAH TOA)
• solve triangles that are not right triangles
• the ambiguous case
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