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Problem solving activities

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Problems for students to solve, accompanied by a suggested teaching sequence, extensions to the problem, and the problem’s solution.

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Brian’s pegboard II

No strand
Problem solving activities
This problem solving activity has a logic and reasoning focus.
  • Use a systematic approach to count a set of possible outcomes.
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No three in a line game

No strand
Problem solving activities
This problem solving activity has a logic and reasoning focus.
  • Analyse a game.
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No more in a line

No strand
Problem solving activities
This problem solving activity has a logic and reasoning focus.
  • Use symmetry and rotation to create geometric shapes that satisfy the no three in a line condition.
  • Explore symmetric arrangements.
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No three in a line again

Level Five
Geometry and Measurement
Problem solving activities
This problem solving activity has a logic and reasoning focus.
  • Use symmetry and rotation to create geometric shapes that satisfy the no three in a line condition.
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Richard's dice

No strand
Problem solving activities
This problem solving activity has a logic and reasoning focus.
  • Find strategies for investigating games.
  • Write a solution for a game.
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Rolling marbles

No strand
Problem solving activities
This problem solving activity has a logic and reasoning focus.
  • Find strategies for investigating games.
  • Write a solution for a game.
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Space crossing

No strand
Problem solving activities
This problem solving activity has a logic and reasoning focus.
  • Follow a chain of reasoning.
  • Recognise logical arguments.
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Lake crossing

No strand
Problem solving activities
This problem solving activity has a logic and reasoning focus.
  • Follow a chain of reasoning.
  • Recognise logical arguments.
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More no three in a line

Level Four
Integrated
Problem solving activities
This problem solving activity has a logic and reasoning focus.
  • Create geometric shapes that satisfy the no three in a line condition on 4 by 4 grids.
  • Devise a systematic approach to find possible outcomes.
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No three in a line

Level Three
Integrated
Problem solving activities
This problem solving activity has a logic and reasoning focus.
  • Create geometric shapes that satisfy the no three in a line condition on 3 by 3 grids.
  • Use a systematic approach to find possible outcomes.