Description:

In this class will provide students with high-school level math, covering all subjects in the Canadian grade 6-12 curriculum. The class will focus on working through problems together and providing the students with homework problems. We cover all the basics needed to be a numerate adult with the potential to pursue further higher education.

Learning outcomes:

  • Practise and improve math skills, starting at the appropriate grade level, and continuing up to Grade 12 math
  • Understand how to think about math problems in practical applications, including personal and business finances
  • Where the interest and the aptitude is present, lay the foundation for further mathematical study, for example in Science, Computing and Engineering
  • Develop a passion for the beauty and purity of mathematics

This curriculum list was generated using ChatGPT

Grade 6: Foundations and Problem-Solving

  1. Number Systems and Operations

  2. Fractions and Decimals

    • Operations with fractions and decimals

    • Equivalent fractions and decimal conversions

  3. Ratios and Proportions

    • Understanding and solving ratio problems

    • Introduction to rates

  4. Basic Algebra

    • Introduction to variables and expressions

    • Solving simple one-step equations

  5. Geometry

    • Properties of 2D shapes

    • Perimeter, area, and volume of simple shapes

    • Introduction to angles and angle relationships

  6. Data Analysis

    • Collecting and interpreting data

    • Reading and creating bar graphs, line plots, and histograms

    • Mean, median, mode, and range

  7. Introduction to Probability

    • Basic probability concepts and experiments

Grade 7: Expanding Mathematical Thinking

  1. Rational Numbers

    • Negative numbers: addition, subtraction, multiplication, and division

    • Fractions and decimals on a number line

  2. Proportions and Percentages

    • Solving multi-step ratio and proportion problems

    • Applications of percentages: discounts, tax, and interest

  3. Expressions and Equations

    • Simplifying expressions using properties

    • Solving multi-step equations and inequalities

  4. Geometry

    • Scale drawings and constructing geometric figures

    • Area, surface area, and volume of complex shapes

    • Angle relationships in parallel lines and triangles

  5. Statistics and Probability

    • Simple probability models

    • Interpreting and comparing data sets using measures of center and variability

Grade 8: Pre-Algebra and Geometry

  1. Linear Algebra

    • Understanding and graphing linear equations

    • Solving systems of equations (substitution and elimination)

    • Understanding slope and y-intercept

  2. Functions

    • Identifying and analyzing linear functions

  3. Exponents and Roots

    • Properties of exponents

    • Introduction to square roots and cube roots

  4. Geometry

    • Pythagorean Theorem and applications

    • Transformations: translation, rotation, reflection, dilation

    • Volume of cones, cylinders, and spheres

  5. Statistics

    • Scatter plots and data correlation

    • Introduction to lines of best fit

Grade 9: Algebra I

  1. Equations and Inequalities

    • Solving and graphing linear inequalities

    • Quadratic equations: introduction and solving by factoring

  2. Functions

    • Introduction to function notation

    • Exploring non-linear functions

  3. Polynomials

    • Simplifying, adding, subtracting, and multiplying polynomials

    • Factoring techniques

  4. Exponents and Radicals

    • Advanced properties of exponents

    • Simplifying radical expressions

  5. Coordinate Geometry

    • Graphing and analyzing linear and quadratic equations

  6. Probability and Statistics

    • Experimental vs. theoretical probability

    • Analyzing and interpreting data with histograms and box plots

Grade 10: Geometry

  1. Euclidean Geometry

    • Proofs and reasoning

    • Congruence and similarity

    • Properties of triangles, quadrilaterals, and circles

  2. Coordinate Geometry

    • Distance formula, midpoint formula, and slope

    • Equations of circles

  3. Trigonometry

    • Basic trigonometric ratios: sine, cosine, tangent

    • Solving right triangles

  4. Transformations

    • Advanced transformations on the coordinate plane

  5. Probability and Combinatorics

    • Permutations and combinations

    • Probability of compound events

Grade 11: Algebra II

  1. Advanced Functions

    • Quadratic functions: transformations and solving

    • Polynomial and rational functions

    • Exponential and logarithmic functions

  2. Complex Numbers

    • Introduction to imaginary numbers

    • Operations with complex numbers

  3. Systems of Equations and Inequalities

    • Solving systems of non-linear equations

    • Linear programming

  4. Sequences and Series

    • Arithmetic and geometric sequences

    • Summation notation

  5. Statistics

    • Probability distributions

    • Normal distribution and standard deviation

Grade 12: Pre-Calculus and Calculus (Optional)

  1. Advanced Algebra

    • Matrices and determinants

    • Solving systems with matrices

  2. Trigonometry

    • Unit circle and radian measure

    • Trigonometric identities and equations

  3. Limits and Introduction to Calculus

    • Concept of a limit

    • Continuity and rates of change

  4. Vectors (Optional)

    • Basics of vector operations

    • Applications in geometry

  5. Statistics

    • Advanced data analysis and regression

    • Inferential statistics