# 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.

Access the supporting teaching guide that provides suggestions to follow up video.

Year level(s) Year 7
Audience Student
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)