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

CUBES

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

RICE

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

QUACK

  • Q 鈥 Question 鈥 read it carefully
  • U 鈥 Understand 鈥 underline or circle key elements
  • A 鈥 Approximate 鈥 think about the size of your answer
  • C 鈥 Calculate
  • K 鈥 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!

More on Processes in mathematics

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