AC9M10A02 Year 10 Mathematics

Content descriptor solve linear inequalities and simultaneous linear equations in 2 variables; interpret solutions graphically and communicate solutions in terms of the situation

Elaborations

• • Elaboration investigating 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
• • Elaboration describing the solution of simultaneous equations within the context of the situation
• • Elaboration graphing regions corresponding to inequalities in the Cartesian plane; for example, graphing 2x+3y<24 and verifying using a test point such as (0, 0)
• • Elaboration identifying 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\leq150
• • Elaboration testing 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
• • Elaboration investigating 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