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(Accuracy)

  • Factorization - Quadratic Expression(Speed)

  • 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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