Algebraic equations video Image

Algebraic equations video

The video uses the scenario of three young people sharing a taxi ride, each travelling a different distance, and working out a fair way to share the cost. The friends need to decide on a departure time based on taxi fares that change rates after 11:00pm. We show how to develop algebraic equations to calculate the taxi fare and generate tables of values which are plotted on a Cartesian plane to observe the relationship.

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Additional details
Year level(s)	Year 7
Audience	Student
Purpose	Student task
Format	Video
Teaching strategies and pedagogical approaches	Worked examples, Concrete Representational Abstract model
Keywords	Real world maths
Curriculum alignment
Strand and focus	Algebra
Topics	Algebraic expressions, Mathematical modelling
AC: Mathematics (V9.0) content descriptions	AC9M7A04 Describe relationships between variables represented in graphs of functions from authentic data AC9M7A05 Generate tables of values from visually growing patterns or the rule of a function; describe and plot these relationships on the Cartesian plane AC9M7A06 Manipulate formulas involving several variables using digital tools, and describe the effect of systematic variation in the values of the variables AC9M7N09 Use mathematical modelling to solve practical problems involving rational numbers and percentages, including financial contexts; formulate problems, choosing representations and efficient calculation strategies, using digital tools as appropriate; interpret and communicate solutions in terms of the situation, justifying choices made about the representation
Numeracy progression	Multiplicative strategies (P7) Understanding money (P7) Number patterns and algebraic thinking (P7, P8)
Copyright details
Organisation	Education Services Australia
Copyright	© 2023 Commonwealth of Australia, unless otherwise indicated. Creative Commons BY 4.0, unless otherwise indicated.