Using symbols and expressions to think mathematically resources

Students use number properties to solve problems without calculating.

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

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

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

Students identify what happens to indices when simplifying algebraic expressions.

Students write algebraic expressions with indices which make equations true.

Students solve different forms of subtraction equations.

Students complete open number sentences to show their understanding of equality.

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 complete linear equations by selecting from a range of numbers.

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

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

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