Using symbols and expressions to think mathematically resources

Students select an appropriate simple algebraic expression for a number of different situations.

Students write number sentences for story problems, and create story problems from number sentences.

Students solve different forms of subtraction equations.

Students solve different forms of addition equations.

Students explore the concept of equality by deciding whether addition sentences are true, false or not proper number sentences.

Students calculate the cost of hiring a search and rescue helicopter and compare this cost with another helicopter company's charges.

Students calculate the repair charges for two different washing machine repair companies, and compare and explain their results.

Students solve mathematical problems involving distance, and identify parts of an algebraic expression.

Students calculate the repair charges of two different garages, graph them, and explain the results.

Students use number properties to solve problems without calculating.

Students are required to re-arrange various algebraic equations.

Students complete 3 x 3 addition arrays by using whole numbers and algebraic expressions.

Students complete linear equations for given word problems involving multiplication.

Students use a flowchart to find solutions and generate rules from them.

Students interpret information from a flowchart to calculate the total costs of different sized groups staying in a motel for varying lengths. They also complete a linear algebraic equation to show the costs of one group's stay.

Students write number sentences for story problems, and create story problems from number sentences.

Students solve algebraic problems about the cost of oranges and lemons and how many of each fruit is purchased for a given cost.

Students select from a range of given numbers to complete a 4 x 4 'addition number square' with given row and column totals.

Students complete 3 multiplication arrays by selecting from given numbers.

Students display their knowledge of algorithms by filling in missing digits for some computations.

Students find the unknown for a range of equations that require number property knowledge and understanding of relational thinking.

Students show how they find the value of an unknown number in a range of linear equations.

Students calculate the charges for lawn mowing expressed as rate plus set-up cost.

Students use the commutative property to find missing numbers in equations and explain the property.

Students use substitution to calculate the cost and length of time taken to repair washing machines, and formulate and solve a related linear equation.