AC9M10A02
solve linear inequalities and simultaneous linear equations in 2 variables; interpret solutions graphically and communicate solutions in terms of the situation
Elaborations
- AC9M10A02_E1investigating situations involving linear equations in context, such as multiple quotes for a job, or profit and loss; solving the equations graphically, giving solutions in everyday language, such as “break-even point” or “point to change providers” for the job
- AC9M10A02_E2describing the solution of simultaneous equations within the context of the situation
- AC9M10A02_E3graphing regions corresponding to inequalities in the Cartesian plane; for example, graphing 2x+3y<24 and verifying using a test point such as (0, 0)
- AC9M10A02_E4identifying all the combinations of trips to the movies, each costing $12, and ice-skating sessions, each costing $21, as the integer solutions for an entertainment budget of up to $150 for the school holidays; expressing algebraically as 12m+21s≤150
- AC9M10A02_E5testing when a circle of a specified radius has a corresponding area greater than a given value, or whether a point satisfies an inequality; for example, whether the point (3, 5) satisfies 2y<x^2
- AC9M10A02_E6investigating the strategies inherent in First Nations Australian children’s instructive games; for example, Weme from the Warlpiri Peoples of central Australia, and their connection to strategies to solve simultaneous linear equations in 2 variables
Loading...