## Pronumerals and Index Law

• Simplifying terms, Descending Order and Alphabetical Order

• Understanding the difference between variable and constant

• Finding the coefficient and degree of each term

• Applying Index Law and finding the leading term / Understanding the significance of the leading term

• Substituting numbers and finding values (quick calculation with no mistake)

## Expansion of brackets

• Expanding brackets using distributive law

• Expanding two brackets-Accuracy

• Expanding brackets without missing negative errors (e.g) -(2x-3) = -2x-3 (wrong)

• Expanding two brackets-Speed

• Expanding brackets based on the order of precedence

• Expanding Square-Accuracy

• Expanding Square-Speed

• Expanding the difference of squares-Accuracy

• Expanding the difference of squares-Speed

• Cube of a bracket-Accuracy

• Cube of a bracket-Speed

• Sum and difference of cubes-Accuracy

• Sum and difference of cubes-Speed

## Factorization

• Finding the highest common factor of terms

• Factorization - Common Factor

• Factorization - Quadratic Expression:Square of a bracket(Accuracy)

• Factorization - Quadratic Expression:Square of a bracket(Speed)

• Factorization - Quadratic Expression:The difference of squares(Accuracy)

• Factorization - Quadratic Expression:The difference of squares(Speed)

• Factorization - Quadratic Expression:The difference of squares-Higher degree(Accuracy)

• Factorization - Cubic Expression:The sum and difference of cubes(Accuracy)

• Factorization - Cubic Expression:The sum and difference of cubes(Speed)

• Factorization - Mixture (Accuracy)

• Factorization - Mixture (Speed)

## Algebraic Fractions

• Understanding operations of fractions

• Finding the lowest common denominator

• Multiple fractions to one fraction-Addition (Accuracy)

• Multiple fractions to one fraction-Addition (Speed)

• One fraction to multiple fractions

• Simplification of algebraic fractions - Multiplication and Division (Accuracy)

• Simplification of algebraic fractions - Multiplication and Division (Speed)

• Simplifying compound fractions

• Decomposing algebraic fractions

• No logical mistakes in fractions

## Solving Equations

• Understanding two types of equations - Identity and conditional equations

• Methods of maintaining equations true with operations

• Solving linear equations (Accuracy,efficiency and speed)

• Representing a letter in terms of other constants and variables

• Eliminating a parameter in equations

• Solving quadratic equations by factorization (Accuracy)

• Solving quadratic equations by factorization (Speed)

• Solving quadratic equations by completing square (Accuracy)

• Solving quadratic equations by completing square (Speed)

• Solving quadratic equations by substitution (Accuracy)

• Solving quadratic equations by substitution (Quick decision making and speed)

• Solving simultaneous linear equations

• Solving simultaneous equations ( Substitution Method )

• Applications - Words Questions

## Solving inequations

• Representing numbers and intervals on the number line

• Understanding and applying The effect of multiplying a negative number on both sides

• Solving linear inequality (Accuracy and speed)

• Solving simultaneous linear inequality and representing your answer on the number line

• Solving quadratic inequality (Accuracy and quick decision making)

• Applications - Words Questions

## Surds

• Finding values of x for which surds are defined

• Simplifying sqrt(f(x)^2) in the given interval

• Rationalizing algebraic functions including surds

• Expanding and simplifying brackets including surds

• Expressing surds to index form

• Expressing indices form to surd form

• Understanding negative index form ( Index to surd, surd to index )

• (Harder) Modifying numbers and surds (e.g) 8x^3=(2x)^3

• Solving equations including surds

• Solving inequalities including surds

## Absolute values

• Understanding absolute values

• Simplifying absolute value expressions in the given interval

• Solving equations including absolute values

• Solving inequalities including absolute values and representing your solution on the number line

• Solving harder questions of absolute values - Answer of equations or inequalities given and finding constants

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