Math C30 Copyright © J.Hoffman 2000 - 2003

[ Tools ] [ Linear Functions ] [ Conics Animation ] [ The Parabola ] [ The Circle ] [ The Ellipse ] [ The Hyperbola ] [ Systems of Equations ] [ Trig Functions ] [Right Triangle ] [ Exact Values ] [Distance Formula and Sum/Difference, Double and Half Angle Identities ] [ Graphs of Circular Fnctions ] [ Solving Triangles ] [ Trig Identities/Equations ] [ Review ]

Note: to view any "pdf" files you must have Adobe Acrobat Reader 5.0. To download follow the link: . If you don't have QuickTime, you can get the latest version (v5, the last time I checked) at Apple's QuickTime site.

Reference Materials

- Linear Functions (105 kb pdf file) - procedures for determining slope, midpoint, distance, intercepts and the equation of a line
- Linear Functions Review One (Grade 10 and A30Material) ( 525 kb pdf file)
- Linear Functions Review Two (Grade 10 and A30Material) ( 493 kb pdf file)

Quizzes/Assignments

- Linear Functions (53 kb pdf file), Answer Key (97 kb pdf file)
- Linear Functions One (52.8 kb pdf file), Answer Key (77.1 kb pdf file)
- Linear Functions Assignment (32.5 kb pdf file), Answer Key (89 kb pdf file)

Exams

- The Conic Sections Animation.(A QuickTime animation) This shows how a plane intersects a cone to form the curves traditionally known as the conic sections. .

Reference Materials

- Parabola - components, definition, completing the trinomial square, breakdown, build-up, applications
- An Parabolic Reflector Animation. (A QuickTime animation) A planar wave-front enters a parabolic reflector.

Quizzes/Assignments

- Parabola
Characteristics from an Equation One (a 42
kb pdf file)
- Parabola template for Characteristics (a 47 kbpdf file)
- Answer Key 1 - 4,(a 62 kb pdf file), Answer Key 5 - 8 (a 60 kb pdf file)

- Parabola Characteristics
from an Equation Two (a 33 pdf file)
- Parabola template for Characteristics (a 48 kb pdf file)
- Answer Key 1 - 6,(a 55 kb pdf file), Answer Key 7 - 10 (a 54 kb pdf file)

- Parabola Build Up (a 43 kb pdf file), Answer Key (a 64 kb pdf file)
- Parabola Function Graphs (a 25 kb pdf file)

Exams

Reference Materials

- Circle - definition, completing the trinominal square, breakdown, build-up, applications

Quizzes/Assignments

Exams

Reference Materials

- Ellipse -definition, completing the trinominal square, breakdown, build-up, applications
- Alternate definition of an Ellipse
- Animating the outline of an ellipse - (A QuickTime animation) Using the definition of an ellipse to trace its outline. The horizontal line segment shown below the curve consists of copies of the segments that connect the foci with the moving point on the ellipse, showing that the sum of the two lengths is constant.
- An Elliptic Reflector Animation. (A QuickTime animation) A light pulse is emitted from one focus of an elliptical reflector.
- Ellipse to a Hyperbola Animation (Flash Animation)

Quizzes/Assignments

Exams

Reference Materials

- Hyperbolic Reflector Animation. (A QuickTime animation) The right half of the hyperbola x^2 - y^2 = 1 is a double-sided reflector here. The left focus emits a pulse of red light. A short time later, the right focus emits a pulse of green light, timed so that the spherical wavefronts resulting from the two pulses both reach the vertex of the reflector simultaneously.

Quizzes/Assignments

Exams

Reference Materials

- Sytems of Linear Equations - definition, types, procedures, practice and applications

Quizzes/Assignments

Exams

Reference Materials

- Trig Functions - angles measure and conversion, standard position, coterminal, reference, trig functions in a coordinate plane, applications, negative angles, increments of 90

Quizzes/Assignments

Exams

Right Triangle (Trig Functions of an Acute Angle)

Reference Materials

- The Right Triangle - defined trig functions, solving right triangles, angles of elevation and depression, problem solving

Quizzes/Assignments

Exams

Distance Formula and Sum/Difference, Double and Half Angle Identities

Reference Material

- Distance Formula, Sum/Difference, Double and Half Angle Identities - development of two different distance formula, the devlopment of the sum/difference, half angle and double angle identities, examples worked out in complete detail

Quizzes/Assignments

Exams

Reference Materials

- Trig identities and equations - definitions, examples and procedures
- Trig Identities One Applet - basic identities
- Trig Identities Two Applet - basic identities
- Trig Identities Three Applet - sum and difference, double and half angles
- Trig Identities Four Applet - acute angles, (90 - x) angles
- True and False Identity Exercise

Quizzes/Assignments

- Algebraic Operations Applied to Trig Identities
- Trig Identities - simplifying trig expressions
- Proving Identities
- Basic Trig Equations

Exams

Reference Material

- Exact Values - derivation, application in regular angles, sum/difference, double and half angles

Quizzes/Assignments

Exams

Reference Material

- The Sine Curve Animation. (A QuickTime animation) Shows how a point moving around a unit circle generates the sine function.
- The Tangent Curve Animation (A QuickTime animation) Shows how a point moving around a unit circle generates the tangent function.

Quizzes/Assignments

Exams