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## Level 1

• Add 1 and 2 digit numbers with mental math

• Subtract 1 and 2  digit numbers with mental math

• Learn carryover concepts with horizontal and vertical addition

• Become proficient in doing mental math with additions and subtractions without using fingers or external aids

• 300 word problems to apply the arithmetic skills learned in the level

## Level 2

• Master concept of subtraction with borrowing for 2 digit numbers

• Vertical addition of 3 and 4 digit numbers with carryover

• Reinforce skills of carry and borrow by using harder problems

• Word problems introduce concepts of money, distance and time, where students apply the arithmetic concepts learnt in level 2

## Level 3

• Master harder subtractions with borrowing using 3 and 4 digit numbers using mental math

• Word problems develop real world skills dealing with money, distance, weight and time

## Level 4 (Multiplication)

• Master concept of multiplication

• Teach multiplication tables up to 12 times 12

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

• Word problems to apply multiplication  and combination of all the arithmetic skills learnt till level 4

## Level 5 (Division)

• Master concept of division

• Explanation of concepts such as quotient and remainder

• Simple divisions using mental math

• Teach long division with 2, 3 and 4 digit dividends and up to 3 digit divisors

• Master order of operations skills using PEMDAS

• Word problems to apply skills learnt in this level

## Level 6 (Fractions)

• Master Fractions

• Learn about mixed , improper  and proper fractions

• Grasp LCM concept

•  Master addition, subtraction, multiplication and division of of fractions, including mixed fractions

• Word problems to master fractions, ratios, proportions, rate etc.

• Master complex fractions problems using PEMDAS

• Solve multiple operations with fractions in a single expression

• Compare fractions

• Word problems to help understand fractions in the real world like ratios and proportions, percentages, speed, flow rates etc.

## Level 8  (Pre-Algebra & Decimals)

• Master decimals and arithmetic operations with decimals

• Understand positive and negative numbers

• Learn complex arithmetic operations with combinations of positive, negative numbers, fractions and decimals

• Exponents are introduced

• Word problems to master concepts learnt up to this level

## Level 9  (Algebra 1)

• Master Algebra with the evaluation of expressions with 1 and/or 2 variables

• Simplify algebraic expressions

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

• Solve Fractional equations

• Word problems, where students have to frame equations from information in the questions

## (Algebra 1)

• Master solving simultaneous equations in 2 and 3 variables using the process of eliminations

• Manipulate complex expressions to isolate variables a precursor to factoring
• Develop skills to check if the solution is correct

• Word problems to apply skills learnt in this level

## Level 11 (Algebra 2)

• Master solving inequalities with1 variable

• Solve systems of inequalities

• Learn multiplication of two algebraic expressions

• Understand polynomials in 1 and/or 2 variables, expansion of polynomial expressions

• Factor of polynomials with degree up to 4

## Level 12 (Algebra 2)

• Functions and graphing of functions

• Solving linear equations and inequalities using graphs

• Pythagoras theorem and triples

• Factor and remainder theorem

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