Using symbols and expressions to think mathematically resources

Students identify different parts of linear formulae which describe costs for buying and transporting clothing.

Students describe algebraic expressions in words.

Students expand algebraic expressions.

Students identify what happens to indices when simplifying algebraic expressions.

Students use measurements to write algebraic expressions for the perimeter and area of a garden.

Students expand and simplify algebraic expressions based on measurements of a path around a lawn.

Students identify parts of algebraic equations and use the equations to calculate temperatures in the Antarctic at different times of the day.

Students complete a table and a graph of an equation about the costs of bike repairs, then interpret the graph to respond to questions.

Students complete a table based on an algebraic formula for free fall velocity, plot the results, and interpret the graph.

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

Students are required to re-arrange various algebraic equations.

Students write algebraic expressions with indices which make equations true.

Students evaluate and simplify algebraic expressions for the side lengths and perimeter of a composite shape. They then find x for a given perimeter.

Students write the simplest algebraic expressions for the lengths and area of parts of a composite shape, then solve these expressions using substitution. They then solve an equation that relates an algebraic expression to a given side length.

Students factorise a series of algebraic expressions.

Students interpret a line graph of a practical situation.

Students show how to solve a series of algebraic expressions by substituting given numbers.

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 solve a number of mathematical problems involving money and distance, and compare the results to identify the cheapest taxi company.

Students calculate the weight of parts of a fish from given proportions.

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

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

Students select the correct simplifications for algebraic expressions.

Students use substitution into equations to evaluate the number of blocks and total surface areas in shapes of different heights. The stimulus can be used as a challenging task to try and derive the rules from the spatial pattern. This is classified as Patterns and Relationships.