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Problem solving

Part ofMathematics and NumeracyProcesses in mathematics

The ability to problem solve and make decisions for ourselves is a key thinking skill that is hugely important throughout life.

The greater your skill in this area, the better you are at searching for meaning; making predictions; generating possible solutions; justifying and understanding how you solved something; coping with challenges and making connections to things you have learnt in the past.

Luckily, numeracy provides a wonderful opportunity to constantly sharpen these skills and to put them into practice. When faced with a problem in maths, there are four key steps to think about:

  • What I know (Think): read the problem and think about what you are being asked.
  • What I need to know (Identify): decide what maths strategies you will need to approach the problem. Do you have all the information? What steps are needed?
  • What I need to do (Employ): use your maths strategies to solve the problem.
  • What I did (Review): Were you successful in solving the problem? Did you have any difficulties?
illustration showing Poly, a cactus like creature, looking at a recipe book beside a tray of buns.

To help make these steps a bit clearer to follow and understand, there are a number of easy to remember acronyms (a word whose letters are the first letters of other words – think of it like an Acrostic Poem) and a few examples of these are listed below.

You might already be familiar with some of the examples or maybe you’ll find a new way that you really like.

Always remember to use what works best for you.

illustration showing Poly, a cactus like creature, looking at a recipe book beside a tray of buns.

RUCSAC

  • R – Read the question and underline the important bits
  • U – Understand/Underline: think about what to do and underline key words and numbers
  • C – Choose how you will work it out
  • S – Solve the problem
  • A – Answer
  • C – Check

CUBES

  • C – Circle the question words
  • U – Underline key words
  • B – Box any key numbers
  • E – Evaluate (what steps do I take?)
  • S – Solve and check (does my answer make sense and how can I double check?)

RICE

  • R – Read and record the problem
  • I – Illustrate your thinking with pictures, models, number lines etc
  • C – Compute, calculate and check
  • E – Explain your thinking

QUACK

  • Q – Question – read it carefully
  • U – Understand – underline or circle key elements
  • A – Approximate – think about the size of your answer
  • C – Calculate
  • K – Know if the answer is sensible or not

By following these steps each time, you are giving yourself the best opportunity possible to be a successful problem solving detective!

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