Level 1
(Addition)

Adding two 1digit numbers

Horizontal addition of two 2digit numbers

Vertical addition of 2digit numbers with carryover

Introduces elementary subtraction using a number line

100s of word problems to apply the arithmetic skills learned in the level
Level 2
(Subtraction 1)

Vertical subtraction of 2 numbers

Vertical addition of 2 numbers up to 1000s

Reinforces skills of carry and borrow by using harder problems

Word problems introduce concepts of money, distance and time
Level 3
(Subtraction 2)

Developing skills in subtraction by subtraction of 2 numbers up to 4 digits.

Word problems develop real world skills dealing with money, distance, weight and time
Level 4
(Multiplication)

Introduces multiplication as repeated addition

Teaches multiplication tables up to 12 times 12

Vertical multiplication skills of 1digit, 2digit and 3digit numbers are developed fully

100s of word problems to apply these skills
Level 5
(Division)

Division introduced as the inverse of multiplication

Explanation of concepts such as quotient and remainder

At the end of this level, children will be able to do long division of a 4digit number by a 2digit number

Order of operations skills using the PEMDAS rule are mastered
Level 6
(Fractions 1)

Associative and commutative rules

Fractions are introduced

Mixed fractions, improper fractions are introduced

LCM concept is introduced

At the end of this level students will be able to add, subtract, multiply and divide 2 fractions, including mixed numbers
Level 7
(Fractions 2)

Complex arithmetic using multiple fractions and integers is introduced

Application of the PEMDAS rule is reinforced through 100s of problems

Word problems to help understand fractions in the real world like ratios and proportions, speed, flow rates are introduced
Level 8
(Decimals)

Introduces decimals

Negative numbers introduced

4 operations with combinations of positive and negative numbers

Exponents are introduced

Complex arithmetic of multiple positive and negative numbers including decimals, integers and fractions is mastered
Level 9
(Elementary Algebra)

Students start doing Algebra with the evaluation of expressions with 1 and/or 2 variables

Simplification of algebraic expressions

Solving linear equations in 1 variable with integer, decimal and fractional coefficients

Fractional equations

100s of word problems, where students have to frame equations from information in the questions
Level 10
(Algebra 1)

Algebraic equations with variables are introduced as a precursor to solving simultaneous equations

Students master solving simultaneous equations in 2 and 3 variables using the process of eliminations

Develop skills to check if the solution is correct
Level 11
(Algebra 1)

Introduces inequalities with1 variable

Starts with single inequality and progresses to systems of inequalities

Multiplication of two algebraic expressions

Introduces polynomials in 1 and/or 2 variables

Expansion of polynomial expressions

Factoring of polynomials with degree up to 4
Level 12
(Algebra 1)

Master solving quadratic equations

Functions and graphing of functions

Solving linear equations and inequalities using graphs

Pythagoras theorem and triples

Factor and remainder theorem