Ishaan Patel

I usually gauge my student capabilities during the first lesson to understand their general grade level of understanding. Once we complete a unit, we move onto the next one in the order found below.

Grade 9 curriculum:
- Trends and linear models (graphing linear equations, systems of linear equations)
- Modelling nonlinear situations (difference tables, exponent laws, root laws)
- Polynomials (adding and subtracting polynomials, distributive property, basic factoring)
- Polygon properties (angle analysis, triangle properties, polygon properties)

Grade 10 curriculum:
- Linear models (word problems with systems of linear equations)
- Analytic geometry (line segments and circles)
- Factoring polynomials up to 2 degrees (formulaic approach)
- Quadratic relations (graphing, vertex form, factored form, translations)
- Quadratic equation (solving quadratic relations for x-intercepts)
- Trigonometry (basic formulas, sine law, cosine law)

Grade 11 curriculum:
- Intro to functions (function notation, domain, range, inverse functions)
- Algebraic expressions (advanced factoring, operations on rational expressions)
- Trigonometry (special ratios, more formulas, trigonometry in 3d space)
- Integer and rational exponents
- Exploring parent functions and their transformations
- Quadratic and inverse quadratic functions
- Exponential functions
- Reciprocal functions
- Sinusoidal functions
- Sequences and series (arithmetic and geometric with formulas, binomial expansions)
- Simple and compound interest


My lessons are based around the Ontario curriculum for mathematics using the Nelson textbooks. Outside my classes, you may use those to refer to formulas that you may have forgotten.