Pre-Calculus+Grade+11

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toc =Algebra & Number=

1. Demonstrate an understanding of the absolute value of real numbers.


 * @http://function-of-time.blogspot.ca/2010/06/absolute-value-both-rigorous-and-in.html
 * @http://function-of-time.blogspot.ca/2011/09/algebra-2-graphing-absolute-value.html
 * @http://function-of-time.blogspot.ca/2011/09/algebra-2-solving-absolute-value.html

2. Solve problems that involve operations on radicals and radical expressions with numerical and variable radicands.

3. Solve problems that involve radical equations (limited to square roots).

4. Determine equivalent forms of rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials).

5. Perform operations on rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials).

6. Solve problems that involve rational equations (limited to numerators and denominators that are monomials, binomials or trinomials).

=Trigonometry= 1. Demonstrate an understanding of angles in standard position [0° to 360°].

2. Solve problems, using the three primary trigonometric ratios for angles from 0° to 360° in standard position. media type="custom" key="11247240" =Trigonometry-Wide Resources= [|http://www.touchtrigonometry.org]

=Relations & Functions= 1. Factor polynomial expressions of the form: where a, b and c are rational numbers.
 * ax 2 + bx+c, a ≠0
 * a 2 x 2 −b 2 y 2, a≠0, b≠0.
 * a(f(x)) 2 +b(f(x))+c, a ≠ 0
 * a 2 (f(x)) 2 −b 2 (g(y)) 2, a≠0, b≠0

2. Graph and analyze absolute value functions (limited to linear and quadratic functions) to solve problems.

3. 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- and y-intercepts.

4. Analyze quadratic functions of the form y = ax 2 +bx+c to identify characteristics of the corresponding graph, including: and to solve problems.
 * vertex
 * domain and range
 * direction of opening
 * axis of symmetry
 * x- and y-intercepts

5. Solve problems that involve quadratic equations. Quadratic Function Intro Video https://www.noodle.com/learn/details/21010/quadratic-function-intro-video Thinglink Resources
 * https://www.thinglink.com/scene/357169626162921472

6. Solve, algebraically and graphically, problems that involve systems of linear-quadratic and quadratic-quadratic equations in two variables.

7. Solve problems that involve linear and quadratic inequalities in two variables.

8. Solve problems that involve quadratic inequalities in one variable.

9. Analyze arithmetic sequences and series to solve problems.

10. Analyze geometric sequences and series to solve problems.

[|http://en.wikipedia.org/wiki/Geometric_series#Fractal_geometry] Fractal geometry

The interior of the Koch snowflake is the union of infinitely many triangles. In the study of fractals, geometric series often arise as the perimeter, area, or volume of a self-similar figure. For example, the area inside the Koch snowflake can be described as the union of infinitely many equilateral triangles (see figure). Each side of the green triangle is exactly 1/3 the size of a side of the large blue triangle, and therefore has exactly 1/9 the area. Similarly, each yellow triangle has 1/9 the area of a green triangle, and so forth. Taking the blue triangle as a unit of area, the total area of the snowflake is The first term of this series represents the area of the blue triangle, the second term the total area of the three green triangles, the third term the total area of the twelve yellow triangles, and so forth. Excluding the initial 1, this series is geometric with constant ratio r = 4/9. The first term of the geometric series is a = 3(1/9) = 1/3, so the sum is Thus the Koch snowflake has 8/5 of the area of the base triangle.

Earth's Most Stunning Natural Fractal Patterns [] (Online Photo Gallery)

11. Graph and analyze reciprocal functions (limited to the reciprocal of linear and quadratic functions).

Curriculum-Wide Relations & Functions Resources

Ted Talks: In Six Minutes or Less Terry Moore on "Why Is 'x' The Unknown?"

media type="custom" key="20586794"

=Curriculum-Wide Resources=

Education World

 * Education World Math Worksheet Library

LearnNowBC

 * Charged Up For Math & Science []

Math Trax (From NASA)
This online graphing calculator can be used to graph equations, do physics simulations or plot data files. The graphs have descriptions and sound so you can hear and read about the graph. Blind and low vision users can access visual math data and graph or experiment with equations and datasets. This free download is already on the image of computers in Yukon schools. It is also a free download @ http://prime.jsc.nasa.gov/mathtrax/download.htm. Consider trying out the roller coaster and rocket simulations in a functions lesson in your mathematics class. These simulations are under the Physics menu.

McGraw-Hill Ryerson
Learning Centre []

Miscellaneous Resources
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 * []

Open School BC
Note: The Open School BC resources are not free.
 * []

PBS Teachers

 * Resources

Saskatchewan Ministry of Education
[] [] (Français) Pre-calculus 20 (2010) > Core Learning Resources

YouTube Videos
"Solve Me Maybe" (Inverse) []