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91587

91587. Mathematics and Statistics 3.15. 3.15. Apply systems of simultaneous equations in solving problems Level 3 Credits 2 Assessment Internal. Methods include a selection from those related to:. forming systems of simultaneous equations solving systems of simultaneous equations

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91587

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  1. 91587 Mathematics and Statistics 3.15

  2. 3.15 • Apply systems of simultaneous equations in solving problems • Level3 • Credits2 • AssessmentInternal

  3. Methods include a selection from those related to: • forming systems of simultaneous equations • solving systems of simultaneous equations • the nature of solutions to systems.

  4. Achievement Objective • form and use systems of simultaneous equations, including three linear equations and three variables, • and interpret the solutions in context.

  5. Indicators • Translates contextual problems into systems of linear equations. • Solves problems that can be modelled by systems of three linear equations with up to three unknowns. • Chooses appropriate methods and uses them to solve simultaneous equations. • Understands the process of solving systems of equations algebraically. • Manipulates equations.

  6. Indicators • Interprets solution(s) of a linear system in context. • Identifies solutions that may be unique, infinite or non-existent. • Explains the nature of solution(s) including consistency and uniqueness and interprets this in context, including 3D.

  7. Achieved • Apply systems of simultaneous equations in solving problems • selecting and using methods • demonstrating knowledge of concepts and terms • communicating using appropriate representations.

  8. Merit • Apply systems of simultaneous equations, using relational thinking, in solving problems. • carrying out a logical sequence of steps • connecting different concepts or representations • demonstrating understanding of concepts • forming and using a model • and also relating findings to a context or communicating thinking using appropriate mathematical statements.

  9. Excellence • Apply systems of simultaneous equations, using extended abstract thinking, in solving problems. • devising a strategy to investigate a situation • identifying relevant concepts in context • developing a chain of logical reasoning, or proof • forming a generalisation • and also using correct mathematical statements, or communicating mathematical insight.

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