Learning Goals & Success Criteria

The language of algebra

Learning goal

By the end of the lesson I will be able to explain the meanings of algebraic terms and arithmetic operations and apply to algebraic situations.

Success criteria

I am able to:

· identify and explain the meaning of pronumeral

· identify and explain the meaning of coefficient

· identify and explain the meaning of term

· identify and explain the meaning of expression

· identify and explain the meaning of constant term

· explain the meaning of sum

· explain the meaning of difference

· explain the meaning of product

· explain the meaning of quotient

· explain the meaning of square

· state the number of terms in an expression

· write and expression for worded descriptions

· use algebra to represent a worded situation and provide solutions

Substitution and equivalence

Learning goal

By the end of the lesson I will be able to evaluate an expression by substituting values for pronumerals.

Success criteria

I am able to:

· substitute values into an expression

· evaluate an expression, after substitution, using arithmetic operations

· recognise equivalent expressions

· recognise and use the commutative law to determine equivalent expressions

· recognise and use the associative law to determine equivalent expressions

Adding and subtracting terms

Learning goal

By the end of the lesson I will be able to identify and use like terms to simplify algebraic expressions.

Success criteria

I am able to:

· identify like terms

· add like terms

· subtract like terms

· simplify expressions by combining like terms using addition and subtraction

Multiplying and dividing terms

Learning goal

By the end of the lesson I will be able to simplify algebraic expressions that include multiplication and division with algebra.

Success criteria

I am able to:

· express a term as a product of factors

· simplify a product of factors into a term

· use powers to represent repeated multiplication of same pronumeral

· represent division of terms as an algebraic fraction

· perform cancellation by common factors

· simplify expressions involving both multiplication and division

Expanding brackets

Learning goal

By the end of the lesson I will be able to use the distributive law to expand algebraic expressions with brackets.

Success criteria

I am able to:

· expand a bracket using the distributive law with a numeric leading factor

· expand a bracket using the distributive law with an algebraic leading factor

· simplify an expressions with more than one expansion of brackets added together is required

· write and expression requiring brackets for worded descriptions

use algebra to represent a worded situation and provide solutions

Victorian Curriculum

• Extend and apply the distributive law to the expansion of algebraic expressions (VCMNA279)
• Simplify algebraic expressions involving the four operations (VCMNA281)

Text Exercises