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Problem solving activities

The Ministry is migrating nzmaths content to Tāhurangi.           
Relevant and up-to-date teaching resources are being moved to Tāhūrangi (tahurangi.education.govt.nz). 
When all identified resources have been successfully moved, this website will close. We expect this to be in June 2024. 
e-ako maths, e-ako Pāngarau, and e-ako PLD 360 will continue to be available. 

For more information visit https://tahurangi.education.govt.nz/updates-to-nzmaths

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

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Sharing more lollies

Level Two
Number and Algebra
Problem solving activities
This problem solving activity has a number (multiplication and division) focus.
  • Solve problems that involve halves and thirds.
  • Use the terms 'greater than' and 'less than'.
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Sharing lollies

Level Two
Number and Algebra
Problem solving activities
This problem solving activity has a number (multiplication, division, and addition) focus.
  • Solve problems that involve halves and thirds.
  • Devise and use problem-solving strategies (draw, act) to explore situations mathematically.
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More pizzas and things

Level Two
Number and Algebra
Problem solving activities
This problem solving activity has a number (all operations) focus.
  • Solve problems that involve halves and thirds.
  • Devise and use problem solving strategies (draw a picture, use equipment, guess and check, be systematic).
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Rabbits

Level Two
Number and Algebra
Problem solving activities
This problem solving activity has a number (multiplication and division) focus.
  • Solve a problem by working backwards.
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Pirate swords

Level Two
Number and Algebra
Problem solving activities
This problem solving activity has a number (multiplication and division) focus.
  • Solve problems involving halves, quarters and thirds.
  • Devise and use problem solving strategies to explore situations mathematically.
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Grandpa's chocolates

Level Two
Number and Algebra
Problem solving activities
This problem solving activity has a number (addition and subtraction) focus.
  • Double numbers.
  • Use mental strategies to solve simple addition problems.
  • Devise and use problem solving strategies (use equipment, guess and check).
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Netball tournament

Level Two
Number and Algebra
Problem solving activities
This problem solving activity has a number (addition and subtraction) focus.
  • Solve a problem by being systematic.
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A Fishy Problem

Level Two
Number and Algebra
Problem solving activities
This problem solving activity has a number (addition and subtraction) focus.
  • Manipulate numbers (using the number operations) to obtain a given number.
  • Change a word problem into an arithmetic problem.
  • Devise and use problem solving strategies to explore situations mathematically (guess and check, be systematic).
  • Report the results of mathematical explorations concisely and...
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Netball goals

Level Two
Number and Algebra
Problem solving activities
This problem solving activity has a number (multiplication and division) focus.
  • Find 1/4 and 3/4 of a set.
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Reversing numbers

Level Two
Number and Algebra
Problem solving activities
This problem solving activity has a number (addition and subtraction) focus.
  • Add 2-digit numbers with and without renaming.