Level 1
Addition 1x1
Subtraction 1x1
Addition 2x1, 3x1, 4x1
Subtraction 2x1, 3x1, 4x1
Addition 2x2
Subtraction 2x2
Addition/Subtraction multiple digits
Problem Solving Addition/Subtraction
Level 2
Addition/Subtraction Drills
Addition/Subtraction (2x2, 3x3, …, 6x6 digits)
Short Multiplication (all facts up to 10x10)
Long Multiplication two digits by one digit
Long Multiplication two digits by two digits
Long Multiplication three digits by two digits
Short Division no remainder
Short Division with remainder
Introduction into Geometry
Angles
Drawing Angles with Protractor
Supplementary Angles/Complementary Angles
Problem Solving – Word Problems
Contest Preparation
Level 3
Long Multiplication four digits by two digits
Long Multiplication three digits by three digits
Short Division with remainder – Review
Long Division by one digit divisor
Long Division by two digits divisor
Order of Operations including multiple nested brackets
Prime Numbers
Prime Factorization
Divisibility Rules
Decimals (addition, subtraction, multiplication, division)
Introduction into Geometry
Angles
Drawing Angles with Protractor
Supplementary Angles/Complementary Angles
Classification of Triangles
Sum of Angles in a Triangle Theorem
Polygons
Clarification of Quadrilaterals
Problem Solving – Word Problems
Contest Preparation (homework)
Level 4
Order of Operations – Review (lessons 1-2)
Powers (lessons 3-4)
Powers Order of Operations (lessons 5-7)
Prime Numbers(lessons 8-9)
Divisibility (lessons 8-9)
Prime Factorization (lessons 8-9)
LCM/GCF (lessons 10-13)
Fractions (addition, subtraction, multiplication, division) (lessons 14-23)
Order of Operations with Fractions (lessons 24-28)
Decimals – Order of Operations (lessons 29-33)
Conversions Fractions to Decimals/Decimals to Fractions (including relating decimals) (lessons 29-33)
Measurement – Conversions Metric System (lessons 34-35)
Problem Solving – Rates
Problem Solving – Heads and Legs
Problem Solving – Word Problems
Contest Preparation (homework)
Level 5
Integers (lessons 1-4)
Integers Order of Operations (lessons 5-7)
Powers of Integers (lessons 8-10)
Rationals (lessons 11-17)
Ratios and Proportions, Problem Solving (lessons 18-23)
Percent, Problem Solving (lessons 24-28)
Introduction into Equations (lessons 29)
Angle Theorems (lessons 30-33)
Review (lessons 34-35)
Contest Prep (homework)
Level 6
Equations (lessons 1-6)
Equations Problem Solving (lessons 2-7)
Powers, inclusive negative exponents (lessons 8-11)
Radicals (lessons 12-20)
Powers with Rational Exponents (lessons 21-23)
Pythagorean Theorem (lessons 24-27)
Special Triangles 30-6-90, 45-45-90 (lessons 28-29)
Similar Triangles (lessons 30-33)
Congruent Triangles (lessons 34-35)
Contest Prep (homework)
Level 7
Analytic Geometry, Slopes and Equations of Lines (lessons 1-5)
Systems of Equations (lessons 6-7)
Systems of Equations Problem Solving (lessons 8-10)
Analytic Geometry Properties of Geometric Figures (lessons 11-16)
Rate of Work-Problem Solving (lessons 17-19)
Polynomials (Addition, Multiplication, Formulas) (lessons 17-21)
Factoring Polynomials (lessons 22-29)
Rational Expressions (lessons 30-33)
Inequalities (lessons 34-35)
Level 8
Quadratic Functions Transformations (lessons 1-3)
Optimization Problem Solving with quadratics (lessons 4-5)
Quadratic Equations (lessons 6-8)
Problem Solving with Quadratic Equations (lessons 9-10)
Trigonometric Ratios (lessons 11-14)
Sine Law, Cosine Law (lessons 15-17)
Ambiguous Case of Sine Law (lessons 16-17)
Radians (lesson 18)
Angles and Radians (lessons 18-20)
CAST Rule (lessons 21-22)
Trigonometric Equations (lessons 23-26)
Trigonometric Identities (lessons 27-28)
Graphs of Trigonometric Functions (lessons 29-31)
Problem Solving with Graphs of Trigonometric Functions (lessons 32)
Complex Numbers (lessons 33-35)
Level 9 (Advanced Functions gr 12)
Inequalities (lessons 1-3)
Higher Degree Polynomial Equations/Inequalities (lessons 4-7)
Graphs of Higher Degree Polynomial Functions (lessons 8-10)
Applications of Higher Degree Polynomial Functions (lessons 8-10)
Inverse Functions (lesson 11)
Exponential Equations (lessons 12)
Logarithmic Functions/Equations/Inequalities (lessons 13-10)
Trigonometric Functions/Equations/Identities (lessons 20-28)
Composition of Functions (lesson 29)
Summation Notation (Sigma) (lesson 30)
Series (lesson 31)
Mathematical induction (lessons 32)
Combinatorics (lessons 33-35)
Calculus (gr 12)
Limits of Functions (lessons 1-3)
Asymptotes (lesson 4)
Continuity (lesson 5)
Derivatives (lessons 6-9)
Chain Rule (lessons 10-12
Implicit Differentiation (lessons 13-14)
Higher Order Derivatives (lesson 15)
L’Hospital’s Rule (lesson 16)
Acceleration and Velocity (lessons 17-18)
Related Rates (lessons 19-21)
Curve Analysis (lessons 22-25)
Optimisation (lessons 26-29)
Derivatives of Inverse Trigonometric Functions (lesson 30)
Antiderivatives (lesson 31)
Area under a Curve (lesson 32)
Riemann Sums (lesson 32)
The Definite Integral (lesson 34)
Review (lesson 35)