Intepreting Complicated Expressions

Interpreting Terms, Factors, Coefficients

Interpreting Parts Of An Algebraic Expression In Terms Of A Context

Writing Expressions In Different Forms To Demonstrate How The Quantities Are Related

Adding And/or Subtracting Rational Algebraic Expressions

Knowing That Rational Algebraic Expressions Are Closed Under The Operations Of Addition, Subtraction, Multiplication And Division

Multiplying Two Or More Rational Algebraic Expressions

Rewriting Rational Algebraic Expressions By Cancelling Out Common Non-zero Factors

Writing A(x)/b(x) In The Form Of Q(x) + R(x)/b(x), With The Degree Of R(x) Less Than The Degree Of B(x) Using Either Inspection Or Technology

Applying Properties Of Operations To Simplify Algebraic Expressions Involving Exponents And/or Radicals

Solving Multi-step Problems Involving Absolute Value Linear Equations In One Variable

Graphing Multi-variable Equations

Solving Linear Equation Systems (exact & Approximate)

Solving Pairs Of Linear Equations In Two Variables

Understanding And Solving Linear Equations In Three Variables

Understanding Pairs Of Linear Equations In Two Variables

Solving Linear Equations And Inequalities

Solving Multi-step Problems Using Linear Equations In One Variable

Inverse Matrix To Solve Equations

Matrix Representation Of Linear Equations

Explaining And Justifying Each Step In Solving A Non-linear Equation

Solving Exponential Equations In One Variable (including Unlike Bases)

Solving Logarithmic Equations In One Variable

Solving Radical Equations In One Variable (including Extraneous Solutions)

Solving Rational Equations In One Variable (including Extraneous Solutions)

Framing Non-linear Equations In One Variable

Representing Constraints By Linear Or Non-linear Equations In One Variable

Completing The Square & Deriving Quadratic Formula

Solving Quadratic Equations

Recognising When A Quadratic Equation Has Complex Solutions Using The Discriminant

Writing A Quadratic Equation In The Standard Form (ax^2 + Bx + C = 0)

Solving A System Consisting Of A Linear Equation And A Quadratic Equation In Two Variables Algebraically

Solving A System Consisting Of A Linear Equation And A Quadratic Equation In Two Variables Graphically

Framing Non-linear Equations In Two Or More Variables To Represent Relationships Between Quantities (including Graphing)

Rearranging And Using Formulae To Highlight A Quantity Of Interest

Representing A System Of Linear Equations As A Single Matrix Equation

Representing Constraints By Linear Or Non-linear Equations In Two Or More Variables

Representing Solutions Of Linear Inequalities In One Variable On A Number Line

Solving/interpreting Linear Inequalities In One Variable

Framing/writing Linear Inequalities In Two Variables

Graphing Linear Inequalities

Representing Solutions Of Linear Inequalities In Two Variables On A Graph

Solutions In Equation Modeling

Solving/interpreting Linear Inequalities In Two Variables

Solving Quadratic Inequalities In One Variable (algebraically Or Graphically)

Factorising Polynomials By Finding The Gcf Or Gcd Or Hcf

Factorising Polynomials By Grouping

Factorising Polynomials That Are Of The Form Or Reducible To The Form Ax^2 + Bx + C

Using Algebraic Identities To Factorise Polynomials And/or Solve Mathematical Problems

Quadratic Equations

Adding Two Or More Polynomials

Subtracting Polynomials

Writing A(x)/b(x) In The Form Of Q(x) + R(x)/b(x), With The Degree Of R(x) Less Than The Degree Of B(x) Using Inspection/technology/long Division

Writing A(x)/b(x) In The Form Of Q(x) + R(x)/b(x), With The Degree Of R(x) Less Than The Degree Of B(x) Using The Long Division Algorithm

Multiplying Two Or More Monomials

Multiplying Two Or More Polynomials

Using Algebraic Identities To Solve Mathematical Problems

Identifying Zeroes Of Polynomials (degree > 2) When Suitable Factorisations Are Available

Stating And Applying The Factor Theorem In Reasoning With Polynomials

Stating And Applying The Remainder Theorem In Reasoning With Polynomials

Using Zeroes Of Polynomials To Sketch Their Graphs And/or Write The Polynomials

Determining The Coefficients Of The Binomial Expansion By Pascal’s Triangle

Stating The Binomial Theorem (n Is A Positive Integer) For The Expansion Of (x + Y)^n

Stating/using The Binomial Theorem (n Is A Positive Integer) For The Expansion Of (x + Y)^n

Using The Binomial Theorem To Solve Problems

Solving Problems Involving Nth Roots

Evaluating Expressions Involving Cube Roots Of Positive/negative Numbers

Evaluating Expressions Involving Nth Roots

Evaluating Expressions Involving Square Roots Of Positive Numbers

Evaluating Nth Roots

Using The Cube Root Symbol For Solutions To Equations Of The Form X^3 = P

Using The Nth Root Symbol For Solutions To Equations Of The Form X^n = P

Using The Square Root Symbol For Solutions To Equations Of The Form X^2 = P

Identifying And Writing Rules For A Sequence When Given Some Terms Of The Sequence (including Arithmetic And Geometric Sequences)

Writing Terms Of A Sequence Recursively (including Arithmetic And Geometric Sequences)

Writing Terms Of A Sequence When Given The General Formula (including Arithmetic And Geometric Sequences)

Using Arithmetic Sequences To Model Situations

Using Geometric Sequences To Model Situations

Applying The Formula For The Sum Of A Finite Arithmetic Series To Solve Problems

Applying The Formula For The Sum Of A Finite Geometric Series To Solve Problems

Applying The Formula For The Sum Of An Infinite Geometric Series To Solve Problems