Level 1
(Addition)
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Adding two 1-digit numbers
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Horizontal addition of two 2-digit numbers
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Vertical addition of 2-digit numbers with carryover
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Introduces elementary subtraction using a number line
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100s of word problems to apply the arithmetic skills learned in the level
Level 2
(Subtraction 1)
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Vertical subtraction of 2 numbers
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Vertical addition of 2 numbers up to 1000s
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Reinforces skills of carry and borrow by using harder problems
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Word problems introduce concepts of money, distance and time
Level 3
(Subtraction 2)
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Developing skills in subtraction by subtraction of 2 numbers up to 4 digits.
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Word problems develop real world skills dealing with money, distance, weight and time
Level 4
(Multiplication)
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Introduces multiplication as repeated addition
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Teaches multiplication tables up to 12 times 12
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Vertical multiplication skills of 1-digit, 2-digit and 3-digit numbers are developed fully
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100s of word problems to apply these skills
Level 5
(Division)
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Division introduced as the inverse of multiplication
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Explanation of concepts such as quotient and remainder
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At the end of this level, children will be able to do long division of a 4-digit number by a 2-digit number
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Order of operations skills using the PEMDAS rule are mastered
Level 6
(Fractions 1)
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Associative and commutative rules
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Fractions are introduced
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Mixed fractions, improper fractions are introduced
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LCM concept is introduced
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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)
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Complex arithmetic using multiple fractions and integers is introduced
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Application of the PEMDAS rule is reinforced through 100s of problems
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Word problems to help understand fractions in the real world like ratios and proportions, speed, flow rates are introduced
Level 8
(Decimals)
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Introduces decimals
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Negative numbers introduced
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4 operations with combinations of positive and negative numbers
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Exponents are introduced
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Complex arithmetic of multiple positive and negative numbers including decimals, integers and fractions is mastered
Level 9
(Elementary Algebra)
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Students start doing Algebra with the evaluation of expressions with 1 and/or 2 variables
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Simplification of algebraic expressions
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Solving linear equations in 1 variable with integer, decimal and fractional coefficients
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Fractional equations
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100s of word problems, where students have to frame equations from information in the questions
Level 10
(Algebra 1)
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Algebraic equations with variables are introduced as a precursor to solving simultaneous equations
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Students master solving simultaneous equations in 2 and 3 variables using the process of eliminations
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Develop skills to check if the solution is correct
Level 11
(Algebra 1)
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Introduces inequalities with1 variable
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Starts with single inequality and progresses to systems of inequalities
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Multiplication of two algebraic expressions
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Introduces polynomials in 1 and/or 2 variables
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Expansion of polynomial expressions
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Factoring of polynomials with degree up to 4
Level 12
(Algebra 1)
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Master solving quadratic equations
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Functions and graphing of functions
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Solving linear equations and inequalities using graphs
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Pythagoras theorem and triples
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Factor and remainder theorem