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

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

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

Applying Properties Of Operations To Add And/or Subtract Linear Expressions

Applying Properties Of Operations To Expand And/or Factor Linear Expressions

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

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

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

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

Solving System Of Equations

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 Involving Absolute Value Linear Equations In One Variable

Solving Multi-step Problems Using Linear Equations In One Variable

Understanding And Solving Linear Equations In Three Variables

Graphing Multi-variable Equations

Solving Linear Equation Systems (exact & Approximate)

Solving Pairs Of Linear Equations In Two Variables

Understanding Pairs Of Linear Equations In Two 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

Inverse Matrix To Solve Equations

Matrix Representation Of Linear Equations

Solving Multi-step Problems Using Non-linear Inequalities In One Variable

Framing Non-linear Equations

Solving Multi-step Problems Using Non-linear Equations In One Variable

Solving Radical Equations

Steps In Solving Non-linear Equations

Understanding Multi-step Problems Involving Non-linear Equations In One Variable

Completing The Square & Deriving Quadratic Formula

Quadratic Equations

Solving Multi-step Problems Using Quadratic Equations In One Variable

Solving Quadratic Equations

Understanding Quadratic Equations In One Variable

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 Equations With Matrices

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 Multi-step Problems Using Non-linear Inequalities In One Variable

Solving Quadratic Inequalities In One Variable (algebraically Or Graphically)

Generating And Understanding Linear Equations In One Variable With Infinitely Many Solutions

Generating And Understanding Linear Equations In One Variable With No Solution

Solving Linear Equations In One Variable With Variables On Both Sides Of The Equation

Solving Problems Involving Multi-step Linear Equations In One Variable

Solving Problems With Equations Of The Form P(x + Q) = R, Where P, Q And R Are Rational Numbers

Framing Linear Equations In One Variable (for Mathematical And Real-life Problems)

Two Step Equations

Graphically Understanding The Solution Of A Pair Of Linear Equations In Two Variables

Solving A Pair Of Linear Equations In Two Variables Algebraically By Elimination

Solving A Pair Of Linear Equations In Two Variables Algebraically By Substitution

Solving A Pair Of Linear Equations In Two Variables Graphically

Solving A Pair Of Linear Equations In Two Variables With Infinitely Many Solutions

Solving A Pair Of Linear Equations In Two Variables With No Solution

Solving A Simple Pair Of Linear Equations In Two Variables By Inspection

Solving Real-world Problems Involving A Pair Of Linear Equations In Two Variables

Solving System Of Equations

System Of Equations Word Problems

Understanding Solutions To Linear Equations In Two Variables

Solving And/or Interpreting Compound Inequalities

Solving And/or Interpreting Inequalities (px + Q ≤ R Or Px + Q ≥ R Forms)

Solving Real-world Problems Involving Multi-step Linear Inequalities In One Variable

One And Two Step Inequalities

Framing Compound Inequalities In The Context Of Different Problems

Framing Compound Inequalities In The Context Of Different Problems

Framing Inequalities (px + Q ≤ R Or Px + Q ≥ R Forms) In The Context Of Different Problems

Representing Solutions Of Compound Inequalities On Number Lines

Representing Solutions Of Inequalities (px + Q ≤ R Or Px + Q ≥ R Forms) On Number Lines

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

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

Using Algebraic Identities To Solve Mathematical Problems

Adding Two Or More Polynomials

Subtracting Polynomials

Multiplying Two Or More Monomials

Multiplying Two Or More 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

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

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

Quadratic Equations

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

Using The Binomial Theorem To Solve 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

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

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

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

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

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

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

Understanding And Applying Sequences

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