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drrossymathandscience
Welcome to the Pre-Calculus page!

OBJECTIVES:

The basic objectives of this course are to:
1. review, consolidate and enrich essential algebra skills required in college mathematics courses, such as calculus
2. acquire new mathematical concepts to be better prepared for college calculus
3. improve mental math skills

FORMAT:

There will be:
1. one module per cycle
2. one test at the end of each module
3. one WEBWORK assignment per module (webwork tutorial)
​4. final group assignment tbc

EVALUATION:

Students will be evaluated:
1. on the full completion of each module, with complete work shown
2. all modules will last one 6-day cycle with the exception of more detailed modules
2. based on a modular test (no memory aids are permitted)

TUTORIALS:

1. daily at lunch

2. Google Virtual tutorials
3. Algebra Videos

MATERIALS:


1. pencils, binder, copybooks, graph paper
2. calculators will NOT be permitted in this course
3. Algebra notes
4. Grading Rubric
5. Advanced Review Package
6. Algebra Review 2



MATH CONTEST:


Fermat (Grade 11) - February 27, 2018
Practice Tests

University of Waterloo Visit - February 22, 2018 period 1


COURSE MODULES:

MODULE A: Basic Operations with Integers and Rational Numbers

Operations
Absolute Value
Square Roots Estimating

MODULE B: Algebraic Substitution and Quadratic Formula
​
Substitution

MODULE C: Linear Equations y = mx + b; general and point slope form; Parallel and Perpendicular lines; Inequalities

Linear Equations and Inequalities

MODULE D: Systems of Linear Equations (2 and 3 variables); Semi-Linear Equations with Curve Sketching and Visualization of Area between Curves

Systems of Equations - All
Curve Sketching and Systems
Determining Number of Solutions


MODULE E: Analytic Geometry

Analytic Geometry 1

Analytic Geometry 2
Analytic Geometry 3
Analytic Geometry 4
Analytic Geometry 5

MODULE F: 1st Degree Equations

1ST DEGREE EQUATIONS

MODULE G: Solids: Volume; Area, Similarity; Equivalence

VOLUME & AREA OF SOLIDS
SIMILARITY

MODULE H: Transformations in a Cartesian Plane

RULES
TRANSLATIONS, REFLECTIONS & ROTATIONS
SIMILARITY TRANSFORMATIONS

MODULE I: Sequences and Series; Factorials

OVERVIEW
GEOMETRIC AND ARITHMETIC SEQUENCES
GEOMETRIC AND ARITHMETIC SERIES
Factorials 1
Factorials 2
Factorials 3
Complex Numbers

MODULE J: Matrices (introduction) and Cramer's Rule

MATRIX OPERATIONS & CRAMER'S RULE

COURSE NOTES AND EXAMPLES


MODULE 1: Exponents, Rational Exponents (module 1 correction key q 31-40)
                       Exponents worksheet 
QUIZ FEBRUARY 10, 2020  MODULE 1 VIDEO

MODULE 2: Radicals

                       Rationalizing Denominators and Numerators
                       Rationalizing Denominators and Numerators 2
QUIZ FEBRUARY 19, 2020 MODULE 2 VIDEO

MODULE 3: Polynomial Operations

                       Literal Equations 1
                       Literal Equations 2
QUIZ FEBRUARY 28, 2020 MODULE 3 VIDEO
                       
MODULE 4: Factoring, including Sum and Difference of Cubes
                       Factoring Polynomials
                       Advanced Factoring
                       Factoring with Rational Exponents
QUIZ MARCH 16, 2020 MODULE 4 VIDEO

MODULE 5: Rational Expressions

                       Complex Fractions
                       Rational Expressions Worksheet        
QUIZ MARCH 24, 2020 MODULE 5 VIDEO

MODULE 6: Synthetic Division

                       Synthetic Division
                       Synthetic Division
                       Synthetic Division

                       Remainder Theorem
                       Factor Theorem and Special Factoring
QUIZ APRIL 3, 2020 MODULE 6 VIDEO

MODULE 7: Partial Fraction Decomposition 1
                       Partial Fraction Decomposition 2
                       Partial Fraction Decomposition 3
                       Partial Fraction Decomposition 4
                       Partial Fraction Decomposition 5
QUIZ APRIL 16, 2020 (KEY) MODULE 7 VIDEO

MODULE 8: Solving Second Degree Equations (square roots, factoring)
                       Completing the Square
                       Solving Second Degree Equations (Completing the Square)
QUIZ APRIL 24, 2020 MODULE 8 VIDEO
 
MODULE 9 & 10: (2 CYCLES) More Equations: Linear (fractional), Absolute Value, Rational, Radical, Exponential, Trigonometric, Logarithmic
QUIZ MAY 4, 2020 (KEY) MODULE 9 & 10 VIDEO

MODULE 11: Inequalities: Absolute Value, Compound, Linear, Systems, Quadratic (graphical)

                         Quadratic (algebraic)
                         Rational 1
                         Rational 2
QUIZ MAY 12, 2020 (KEY) MODULE 11 VIDEO


MODULE 12: Graphing Polynomial Functions                         
                         Graphing Polynomial Functions 2
                         Graphing Polynomial Functions 3
                         Graphing Polynomial Functions 4 
                         Graphing Polynomial Functions 5
                         Graphing Polynomial Functions 6

                         Graphing Piece-Wise Functions (introduction to continuity)                         
                         Graphing Piece-Wise Functions 2

                         Graphing Rational Functions
                         Graphing Rational Functions 2
                         RATIONAL FUNCTIONS WORKSHEET
QUIZ MAY 22, 2020 (KEY) MODULE 12 VIDEO

MODULE 13: Exponential Functions

                         Logarithmic Functions
                         Logs 2
                         INTRODUCTION
                         Notes

QUIZ JUNE 1, 2020 (KEY)

MODULE 14: (2 CYCLES) Trigonometry: Reference angles, Graphing, Wrapping functions, Degrees and Radians

                         Graphing 2
                         Trig equations


QUIZ IN CLASS (KEY)


MODULE 15: Trigonometric Identities 1

                         Trigonometric Identities 2
                         Sum, Difference, Half and Double Angle Identities
                         Sum, Difference, Half and Double Angle Identities worksheet

QUIZ IN CLASS


MODULE 16: (2 CYCLES) Introduction to Limits 1
                         Introduction to Limits 2
                         Introduction to Limits 3

                         Introduction to Derivatives 1
                         Introduction to Derivatives 2
                         Introduction to Derivatives 3

REFERENCE


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