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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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The old chicken run problem

Level Six
Number and Algebra
Problem solving activities
This problem solving activity has a number and algebra (equations and expressions) focus.
  • Use algebraic equations to determine the maximum area of a rectangle with a given partial perimeter.
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Polygonal strings

Level Six
Number and Algebra
Problem solving activities
This problem solving activity has a number and algebra (equations and expressions) focus.
  • Determine the maximum area of a regular polygon with a given perimeter.
  • Appreciate the concept of limit as it applies to the area of regular n-gons and circle that both have the same perimeter.
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Karen's second tiles

Level Six
Number and Algebra
Problem solving activities
This problem solving activity has a number and algebra (equations and expressions) focus.
  • Determine the maximum area of a regular polygon with a given perimeter.
  • Appreciate the concept of limit as it applies to the area of regular n-gons and circle that both have the same perimeter.
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Peter's third string

Level Six
Number and Algebra
Problem solving activities
This problem solving activity has a number and algebra (equations and expressions) focus.
  • Determine the maximum area of a rectangle with a given perimeter.
  • Consider how the area of a quadrilateral changes as its shape changes.
  • Interpret a relationship from a graph.
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What are s and t?

Level Six
Number and Algebra
Problem solving activities
This problem solving activity has a number and algebra (equations and expressions) focus.
  • Use guessing to make conjectures.
  • Solve a problem using algebraic expressions.
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What is t?

Level Six
Number and Algebra
Problem solving activities
This problem solving activity has a number and algebra (equations and expressions) focus.
  • Use guessing to make conjectures.
  • Solve a problem using algebraic expressions.
Resource logo

What is s?

Level Six
Number and Algebra
Problem solving activities
This problem solving activity has a number and algebra (equations and expressions) focus.
  • Use guessing to make conjectures.
  • Solve a problem using algebraic expressions.
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Diophantus II

Level Six
Number and Algebra
Problem solving activities
This problem solving activity has a number and algebra (equations and expressions) focus.
  • Solve a problem in a number of ways, including using algebraic expressions.
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Diophantus I

Level Six
Number and Algebra
Problem solving activities
This problem solving activity has a number and algebra (equations and expressions) focus.
  • Solve a problem in a number of ways, including using algebraic expressions.
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The lady's age

Level Six
Number and Algebra
Problem solving activities
This problem solving activity has a number and algebra (equations and expressions) focus.
  • Solve a problem in a number of ways, including using algebraic expressions.