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Master High School Math: Albebra, Functions, Calculus and More

Description

William Paul Thurston, an American mathematician, once said “mathematics is not about numbers, equations, computations, or algorithms: it is about understanding”. That is what this class is all about. Understanding the true nature of Math! Mathematics are everywhere and can be found in any field of study from astronomy to music and from computers to visual arts. But it is almost never taught that way. This course is the result of three decades of teaching math to people of all ages and at all levels. If you want to truly understand high school math while preparing yourself for college or university, this is the course for you.

Target Audience

  • Teens age 14+
  • The pre-requisite to attend this class is basic math proficiency up to and including performing addition, subtraction, multiplication and division with variables.
  • If you don't think you satisfy pre-requisites, contact us. We might be able to give you some pre-assignments to get you ready!

Class Objectives

This 16-week interactive class will get you excited about math and will prepare you for University level Math. Our unique teaching methods based on centuries old methods allow you to master math concepts through understanding, not memorization. The class will allow you to:
  • Review the baics of fractions and working with varable under the common theme of generally applied math principle
  • Understand the use of fractional exponents and their expression as radicals
  • Understand the use of negative exponents and their expression as fractions
  • Learn to work with and simplify complex algrebraic expressions
  • Gain familiarity with the Cartesiam Plane and the slope of curves in general
  • Learn to factor and simplify both simple and complex algrebraic expressions
  • Appreciate the role of prime numbers and the fundamental theorem of arithmetic.
  • Learn to factor everything: numbers, algebraic expressions and polynomials or all types.
  • Explore the essential concepts associated with rate of change including simple linear relationships, trends, etc...
  • Understand the concept of a quadratic equation and explore different ways to solve them.
  • Understand how rate of change applies to the world all around, not just straight lines.
  • Understand the difference between a function and a relation.
  • Explore Function Transformations: Translation, Reflection, Stretch and More
  • Learn to interpret operations on functions: addition, subtraction, division, multiplication and composition.
  • Inverse Functions: Theory and Application
  • What About the Derivative?
  • Exponentials and Logarithms: Usage, Inversion and Derivatives
  • Trigonometric Functions: Review of Key Concepts
  • Trigonometric Functions: Usage, Inversion and Derivatives
  • Trigonometric Functions: Working with Reciprocals
  • Implicit Differentiation: Practical Applications of the Derivative - [If Time Permits]
  • Exploring the Anti-Derivative: Integrals, Practical Applications and U-Substitution - [If Time Permits]
Participants who elect to write the final exam will have documented prrof of completing Grade 12 Math concepts.

Pricing

  • Individual: $300.00 pp
  • Learn Grow Fly learning is a not-for-profit initaitive. If your student wants to participate in this program and the cost is an issue for your family, please contact us. We want to help.
  • This class requires students to do short homework assignments on a regular basis

Class Times

  • Classes start on Monday March 3, 2025 and end on Thursday June 19, 2025
  • Optional proctored final exam will be held on Monday June 23, 2025 from 12pm to 3:00pm
  • Class Hours
    1. Mondays from 12:45 to 13:45 - In-Person
    2. Wednesdays from 16:15 to 17:15 - Zoom
    3. Thursdays from 16:15 to 17:15 - Zoom
  • Additional sessions will be organized if necessary or if studens show an interest in a particular topic.

Class Location

Location Pin Image
The Dandelion Cafe & Student Achievement Center
700 Industrial Ave Unit 5, Ottawa, Ontario
The cafe is located with the Office Suites at the back of the building. The one way ramp on the right side of the building can be used to access the parking at the back of the building.
See Map

The Details

Part I: Laying the Foundation - Algebra, Lines, Parabolas and More
Essentials
  • Working with Fractions
  • Working with Variables
  • Single Variable Equations
  • Integer Exponents
  • Rational Exponents
  • Negative Exponents
  • Complex Rational Expressions
  • Algebraic Expressions with Radicals
  • Common Mistakes
The Polynomial
  • About Polynomial Degrees
  • Multiplication & Factoring
  • Rational Polynomial Expressions
  • Graphical Representation of a Polynomial
  • What is a Factor? What is a Prime?
  • Factoring Polynomials
  • Using Factoring to Solve for 0
  • Using Factoring to Simplify
  • The Quadratic Equation
Let's Get Trendy: The Line
  • The Cartesian Plane
  • Cartesian Coordinates
  • Exploring Curve Direction
  • The Intercepts: X and Y
  • The Power of the Slope
  • Parallel Lines
  • Perpendicular Lines
  • Applications IRL
  • The Derivative: A Slope for all Functions
Let's Get Curvy: The Parabola
  • What's in a Parabola?
  • The Roots of a Parabola
  • THe Direction and Slope of a Parabola
  • Exploring Function Notation
  • The Slope of a Parabola: The Derivative
  • The Derivative and Rate of Growth
  • The Derivative and Maximums/Minimums
  • Applications IRL
  • What about the Graph?
Mid-Term Exam
  • Optional Mid-Term Exam - 1 hour
Part II: All About Functions and Graphs
Functions Deep Dive
  • This is a Function: Concepts and Notation
  • Function Domain and Range
  • Function Arithmetic: The Basics
  • Function Composition
  • Function Transformations: Translation, Stretch and Reflection
  • The Derivative: X to the Power Of
  • The Derivative: Basic Arithmetic
  • The Derivative of Composite Functions
  • The Derivative: The Product and Quotient Rule
  • Expanding on the Chain Rule
Radicals, Exponents & Logarithms
  • Radicals, Exponents and Logarithms are Related!
  • Radical Functions: Domain and Range
  • Radical Functions: Graphical Representation
  • The Derivative of Radical Functions
  • Exponentials and Logarithms: Domain and Range
  • Exponentials and Logarithms: Graphical Representation
  • The Derivative of Exponential Functions
  • The Derivative of Logarithmic Functions
  • Applications IRL
  • Putting it All Together
Trigonometric Functions
  • The Right Angle Triangle and the Pythagorean Thorem
  • The Magic Circle: Introducing Radians
  • The Radian UniverseL Usage and Conversion
  • The Primary Trigonometric Functions
  • Graphing the Primary Trigonometric Functions
  • Trigonometry IRL
  • The Reciprocals: sec, cosec and cotan
  • The Inverses: arccos, arcsin and arctan
  • The Derivative of Trigonometric Functions
  • About Trigonometric Idenitities
More on Derivatives and Anti-Derivatives
  • About Implicit Differentiation
  • Real World Rate of Change Problems
  • Evaluating the Derivative of Circles and Other Interesting Curves
  • Using Differentials to Approximate Error
  • About Polar Coordinates
  • Ahat is an Anti-Derivative?
  • Polynomial Integration
  • Applications of a Definite Integral
  • Integrals of Other Functions
  • Making Use of U-Substitution
Proctored Final Exam
  • Optional Proctored Final Exam - 3 hours