Curriculum & Educational Standards

Focuses on establishing rock-solid number sense, counting fluently to 100, basic addition/subtraction within 20, coin recognition, 2D geometric shapes, and early clock reading. Students build mental representations before moving to abstract symbols.

Transitions into multiplicative thinking: times-table mastery (1–12), multi-digit division with remainders, visual and numeric fractions, decimal place values (tenths and hundredths), perimeter and area calculation, and Quadrant 1 coordinate grids.

Introduces variables and algebraic balancing. Topics include positive/negative integer arithmetic, ratios and unit rates, solving one and two-step linear equations, slopes ($y = mx + b$), probability, central tendency, and the Pythagorean Theorem.

Rigorous secondary mathematics: quadratic formulas, polynomial factoring, systems of equations, linear inequality regions, formal geometric proofs (SSS, SAS, CPCTC), right-triangle trigonometry ($\sin, \cos, \tan$), and exponential models.

College-prep upper-secondary math: imaginary and complex numbers ($i = \sqrt{-1}$), logarithms, unit circle radian angles, trig identities, rational function asymptotes, vectors, matrices, limits, and the power rule for derivatives.