Indices

Learning Goals & Success Criteria

Index notation

Learning goal

By the end of the lesson I will be able to represent a product of factors in index form

Success criteria

I am able to:

· identify the base and power of a term written in index form

· convert a term written in index form into expanded form

· convert a term written in expanded form into index form

· evaluate terms written in index form with a numeric base

· express a number as a product of prime factors and write in index form

Index laws 1 and 2

Learning goal

By the end of the lesson I will be able to simplify algebraic expressions using index laws 1 and 2 relating to products and quotients of terms written in index form

Success criteria

I am able to:

· simplify a product of terms using the first index law

· simplify a quotient of terms using the second index law

· simplify a combination of operations on terms using the first and second index laws

Index laws 3 and the zero power

Learning goal

By the end of the lesson I will be able to simplify algebraic expressions using index laws 3 relating to powers of terms written in index form

Success criteria

I am able to:

· simplify a power of terms using the third index law

· use a rule to simplify expressions with a power of zero

· simplify a combination of operations on terms using the first three index laws

Index laws 4 and 5

Learning goal

By the end of the lesson I will be able to simplify algebraic expressions using index laws 4 and 5 relating to powers of products and quotients written in index form

Success criteria

I am able to:

· simplify a power of a product of terms using the fourth index law

· simplify a power of a quotient of terms using the fifth index law

· simplify a combination of operations on terms using multiple index laws

Scientific notation

Learning goal

By the end of the lesson I will be able to use scientific notation to write any decimal number in standard form

Success criteria

I am able to:

· write numbers greater than 1 in standard form

· write numbers between 0 and 1 in standard form

· write numbers greater than 1 given in scientific notation in decimal form

· write numbers between 0 and 1 given in scientific notation in decimal form

Scientific notation using significant figures

Learning goal

By the end of the lesson I will be able to round off numbers using significant figures in decimal form and scientific notation

Success criteria

I am able to:

· state the number of significant figures for a given decimal number

· write a decimal number to a given number of significant figures

· write a decimal number to a given number of significant figures in scientific notation

· use a calculator to perform operations of numbers in scientific notation

Victorian Curriculum

• Apply index laws to numerical expressions with integer indices (VCMNA302)
• Express numbers in scientific notation (VCMNA303)
• Extend and apply the index laws to variables, using positive integer indices and the zero index (VCMNA305)
• Investigate very small and very large time scales and intervals (VCMMG315)