Using this investigation The sequence of activities suggested in this investigation provides opportunities for students to demonstrate learning described by core learning outcomes or aspects of core learning outcomes. The investigation may be modified to provide opportunities for students to demonstrate learning described by core learning outcomes at other levels. Contribution to the attributes of a lifelong learner Students patterns and algebra, and apply rules to make Knowledgeable person ‘know about’ generalisations. with deep understanding Complex thinker Students develop a plan for the investigation and use a range of strategies to solve problems. Active investigator Students manipulate concrete materials and make appropriate representations to assist understandings. Effective communicator Students represent their mathematical ideas and reasoning in different ways and select the most appropriate for the principal. Reflective and Students follow the plan for their investigations and modify where self-directed learner necessary. They select the most efficient and suggest possible applications for the future. Core content Patterns and Algebra Patterns and functions: Patterns and Algebra Equivalence and — — Level 4 equations: Level 4 Patterns Equivalence rules based on the position of terms order of operations (combinations of operations) methods for solving equations calculator number patterns balance guess and check ordered pairs and graphs (with discrete data only) Representations Functions symbols input output (with combinations of operations) equals (=) rules relating two sets of data does not equal (≠) backtracking (inverse) brackets with combinations of operations for unknowns (shapes, boxes, question marks, representations of relationships spaces, lines) ordered pairs arrow diagrams tables, line graphs, equations (number sentences) trends discrete data continuous data electronic, manual Resources pattern blocks graph paper concrete materials
Using this investigation The sequence of activities suggested in this investigation provides opportunities for students to demonstrate learning described by core learning outcomes or aspects of core learning outcomes. The investigation may be modified to provide opportunities for students to demonstrate learning described by core learning outcomes at other levels. Contribution to the attributes of a lifelong learner Knowledgeable person with deep understanding Students ‘know about’ patterns and algebra, and apply rules to make generalisations. Complex thinker Students develop a plan for the investigation and use a range of strategies to solve problems. Active investigator Students manipulate concrete materials and make appropriate representations to assist understandings. Effective communicator Students represent their mathematical ideas and reasoning in different ways and select the most appropriate for the principal. Reflective and self-directed learner Students follow the plan for their investigations and modify where necessary. They select the most efficient and suggest possible applications for the future. Core content Patterns and Algebra — Patterns and functions: Level 4 Patterns and Algebra — Equivalence and equations: Level 4 Patterns rules based on the position of terms (combinations of operations) calculator number patterns ordered pairs and graphs (with discrete data only) Functions input output (with combinations of operations) rules relating two sets of data backtracking (inverse) with combinations of operations representations of relationships ordered pairs tables, line graphs, equations (number sentences) trends discrete data continuous data electronic, manual Equivalence order of operations methods for solving equations balance guess and check Representations symbols equals (=) does not equal (≠) brackets for unknowns (shapes, boxes, question marks, spaces, lines) arrow diagrams Resources pattern blocks graph paper concrete materials