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Problem Solving

Learn how to use the strategy 'draw a picture or diagram' to solve math problems effectively. Understand, plan, execute, and reflect using this visual method. Practice step-by-step problem-solving techniques with practical examples.

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Problem Solving

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  1. Problem Solving

  2. PROBLEM SOLVING STRATEGIES: Problem Solving Strategies. • Make a list or table. • Draw a picture or diagram. • Act it out. • Look for a pattern. • Simplify. • Work Backwards. • Break it up. • Guess & Check.

  3. Draw a picture or diagram. • Drawing a picture helps you to see the problem. • Draw a picture or diagram helps you to find the solution to the problem. • Look for clues in the problem that you think suggest that you will need to see parts of the problem to find a solution. • How to use the strategy ‘draw a picture or diagram’ to solve problems. • What types of problems we might use this strategy to solve. • Children practising the strategy. • Using the think board to show your thinking.

  4. PROBLEM SOLVING STEPS: The 4 steps : 1. Understand the problem SEE 2. Devise a plan PLAN 3. Carry out the plan DO 4. Look back (reflect) CHECK

  5. Think Board. 2. Devise a plan. 1. Understand the problem. 3. Carry out the plan. 4. Look back (reflect ).

  6. I Do Problem……. Azziza invited six friends to her birthday party. Each person at the party received a cup with five chocolate lollies and two sticks of chewing gum. How many chocolate lollies and how many sticks of chewing gum were given at the party? I Do While I am working through this question, I will think aloud.

  7. 1. Understand the Problem. 1. Understand the problem. • What am I being asked to find out or show? • Can I restate the problem in my own words? • What pieces of information do I need to help me to answer the question? I Do

  8. 1. Understand the problem. I Do How many chocolate lollies and how many sticks of chewing gum were given at the party? 6 friends plus Azziza at the party. Each got 5 chocolate lollies. Each got 2 sticks of chewing gum.

  9. 2. Devise a Plan. 2. Devise a plan. • Using the information from the problem, I need to choose a strategy that will help me to solve the problem. • Today I will use ‘Draw a Picture or Diagram’ to help me to solve this problem. I Do

  10. 2. Devise a plan. I Do Draw a picture of a cup with 5 chocolate lollies and 2 sticks of chewing gum for each guest.

  11. 3. Carry out the plan. 3. Carry out the plan. · Carrying out the plan is usually easier than devising the plan · Be patient – most problems are not solved quickly nor on the first attempt · If a plan does not work immediately, be persistent · Do not let yourself get discouraged · If one strategy isn’t working, try a different one I Do

  12. 3. Carry out the plan. I Do

  13. 4. Look Back (Revise) 4. Reflect. • Does my answer make sense? Did I answer all of the questions? • Could I have done this problem another way – maybe even an easier way? I Do

  14. 4. Reflect. I Do 35 chocolate lollies and 14 sticks of chewing gum were given at the party.

  15. We Do Problem……. Now try this one together… A school has 10 boxes of footballs. Four boxes have 6 footballs in each box. The other boxes have 5 footballs in each box. How many footballs are there altogether? You Do

  16. Now we will do this one in your group or on your own… You Do Problem……. Isabella owns 2 pairs of shorts, 3 pairs of jeans, 2 shirts and 2 singlets. How many different combinations of outfits can she make? We Do

  17. Draw a picture or diagram. • Drawing a picture helps you to see the problem. • Draw a picture or diagram helps you to find the solution to the problem. • Look for clues in the problem that you think suggest that you will need to see parts of the problem to find a solution. • How to use the strategy ‘draw a picture or diagram’ to solve problems. • What types of problems we might use this strategy to solve. • Children practising the strategy. • Using the think board to show your thinking.

  18. PROBLEM SOLVING STEPS: The 4 steps : 1. Understand the problem SEE 2. Devise a plan PLAN 3. Carry out the plan DO 4. Look back (reflect) CHECK

  19. Lesson Reflection. • Think about how well you have understood the lesson today…. • How confident do you feel using the ‘Draw a Picture or Diagram’ strategy? • Is there any step in the problem solving process you need more help with?

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