Applying Conjugates To Find Quotients

Finding The Conjugate Of A Complex Number

Finding The Square Root Of A Negative Number

Knowing The Existence Of A Complex Number I And That I^2 = –1

Understanding That Every Complex Number Has The Form Of A + Bi Where A And B Are Real Numbers

Using Different Properties (commutative, Associative) To Add And/or Subtract Complex Numbers

Calculating The Distance Between Complex Numbers

Extending Algebraic Polynomial Identities To Complex Numbers

Finding The Midpoint Of A Segment Connecting Two Complex Numbers

Knowing The Fundamental Theorem Of Algebra

Solving Problems Involving A Mix Of Addition, Subtraction, Multiplication And/or Division Of Complex Numbers

Using I^2 = –1 And Different Properties (commutative, Associative, Distributive) To Multiply Complex Numbers (including Cases Where Addition/subtraction Are Involved)

Finding The Modulus And/or Argument Of A Complex Number

Representing Complex Numbers In The Polar Form

Representing Complex Numbers In The Rectangular Form

Understanding Why The Rectangular And Polar Forms Of A Complex Number Represent The Same Number

Using Different Properties (commutative, Associative) To Add And/or Subtract Complex Numbers

Calculating The Distance Between Complex Numbers

Extending Algebraic Polynomial Identities To Complex Numbers

Finding The Midpoint Of A Segment Connecting Two Complex Numbers

Knowing The Fundamental Theorem Of Algebra

Solving Problems Involving A Mix Of Addition, Subtraction, Multiplication And/or Division Of Complex Numbers

Using I^2 = –1 And Different Properties (commutative, Associative, Distributive) To Multiply Complex Numbers (including Cases Where Addition/subtraction Are Involved)

Finding The Modulus And/or Argument Of A Complex Number

Representing Complex Numbers In The Polar Form

Representing Complex Numbers In The Rectangular Form

Understanding Why The Rectangular And Polar Forms Of A Complex Number Represent The Same Number

Applying Conjugates To Find Quotients

Finding The Conjugate Of A Complex Number

Finding The Square Root Of A Negative Number

Knowing The Existence Of A Complex Number I And That I^2 = –1

Understanding That Every Complex Number Has The Form Of A + Bi Where A And B Are Real Numbers

Understanding Irrational Numbers

Simplifying Expressions Involving Rational Exponents Using The Laws Of Exponents

Understanding That The Definition Of Rational Exponents Follows From Extending Understanding Of Integer Exponents

Adding And/or Subtracting Radicals

Explaining/demonstrating Why The Sum Or Difference Of A Rational And Irrational Number Is Irrational

Explaining Why The Product Or Quotient Of A Rational And Irrational Number Is Irrational

Multiplying And/or Dividing Radicals

Simplifying Multi-operation Expressions Involving Radicals (including Denominator Rationalisation)

Explaining/demonstrating Why The Sum Or Difference Of Two Rational Numbers Is Rational

Explaining/demonstrating Why The Product Or Quotient Of Two Rational Numbers Is Rational

Adding And/or Subtracting Matrices Of Appropriate Dimensions

Multiplying A Vector (column Matrix) By A Matrix To Produce Another Vector

Multiplying Matrices By Scalars

Multiplying Two Matrices Of Appropriate Dimensions

Understanding That Matrix Multiplication Is Associative And Distributive

Understanding That Matrix Multiplication Is Associative And Distributive But Not Commutative

Understanding The Role Of The Identity Matrix In Matrix Multiplication

Solving Problems Involving A Mix Of Addition, Subtraction And/or Multiplication Of Matrices

Finding The Inverse Of A Matrix (if It Exists)

Representing And Manipulating Data Through Matrices

Finding The Inverse Of A Matrix (if It Exists)

Representing And Manipulating Data Through Matrices

Adding And/or Subtracting Matrices Of Appropriate Dimensions

Multiplying A Vector (column Matrix) By A Matrix To Produce Another Vector

Multiplying Matrices By Scalars

Multiplying Two Matrices Of Appropriate Dimensions

Understanding That Matrix Multiplication Is Associative And Distributive

Understanding That Matrix Multiplication Is Associative And Distributive But Not Commutative

Understanding The Role Of The Identity Matrix In Matrix Multiplication

Understanding And Applying Laws Of Exponents (product Law, Quotient Law And Power Law) To Numerical Expressions For Exponents >0.

Understanding And Using Zero And Negative Exponents, Applying Law Of Exponents To Numerical Expressions Where Exponent Is Zero Or Negative.

Simplifying Expressions Involving Rational Exponents Using The Laws Of Exponents

Understanding That The Definition Of Rational Exponents Follows From Extending Understanding Of Integer Exponents

Defining Quantities For Descriptive Modeling

Interpreting Units & Scales In Problem Solving

Selecting Accuracy Level For Quantity Reporting

Understanding And Applying Laws Of Exponents (product Law, Quotient Law And Power Law) To Numerical Expressions For Exponents >0.

Understanding And Using Zero And Negative Exponents, Applying Law Of Exponents To Numerical Expressions Where Exponent Is Zero Or Negative.

Simplifying Expressions Involving Rational Exponents Using The Laws Of Exponents

Understanding And Applying Laws Of Exponents To Numerical Expressions

Understanding That The Definition Of Rational Exponents Follows From Extending Understanding Of Integer Exponents

Writing A Radical In Its Simplest Form

Explaining/demonstrating Why The Sum Or Difference Of Two Rational Numbers Is Rational

Explaining/demonstrating Why The Product Or Quotient Of Two Rational Numbers Is Rational

Adding And Subtracting Irrational Numbers

Multiplying And Dividing Irrational Numbers

Solving Problems Involving Mixed Operations On Radicals

Adding And Subtracting Rational Numbers

Explaining/demonstrating Why The Product Or Quotient Of Two Rational Numbers Is Rational

Explaining/demonstrating Why The Sum Or Difference Of Two Rational Numbers Is Rational

Multiplying And Dividing Rational Numbers

Finding The Components Of A Vector

Finding The Magnitude And/or Direction Of A Vector

Recognising Vector Quantities As Having Both Magnitude And Direction

Recognising Vector Quantities As Having Both Magnitude And Direction; Finding These Attributes Of Vector Quantity.

Representing Vector Quantities Geometrically (directed Line Segments) And Algebraically (using Appropriate Symbols)

Representing Vector Quantities Geometrically And Algebraically

Solving Problems Involving Unit Vectors

Solving Real-life Problems Involving Vector Quantities

Solving Real-life Problems Involving Vector Quantities (excluding Operations)

Performing Scalar Multiplication Component-wise (including Determining Magnitude And Direction Of The Resultant Vector)

Calculating Magnitude & Direction Of Scalar Multiple

Graphical Scalar Multiplication Of Vectors

Performing Scalar Multiplication Component-wise

Performing Scalar Multiplication Component-wise (including Determining Magnitude And Direction Of The Resultant Vector)

Solving Problems Involving One Or More Of Addition, Subtraction And Multiplication Of Vectors

Solving Problems Involving Operations On Vectors