AC9M10A02

See also: Learning Areas / Mathematics / Mathematics / Algebra / Year 10

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

Elaborations

AC9M10A02_E1 - 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
AC9M10A02_E2 - describing the solution of simultaneous equations within the context of the situation
AC9M10A02_E3 - graphing regions corresponding to inequalities in the Cartesian plane; for example, graphing $2x+3y<24$ and verifying using a test point such as ($0, 0$)
AC9M10A02_E4 - 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 $12m+21s\leq150$
AC9M10A02_E5 - 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 $2y<x^2$
AC9M10A02_E6 - 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

Achievement Standard Components

ASMAT1004 - They solve problems involving simultaneous linear equations and linear inequalities in 2 variables graphically and justify solutions.