Maths Problem Solving Strategies


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Maths Problem Solving Strategies

  1. 1. Problem Solving StrategiesinMathematics(With Sample Worksheets)(Grades2-5)
  2. 2. Kavita Grover Page 2Types of Errors Commonly Made By Students in Solving StatementProblems/Sums1) Reading -Do not recognize key words or symbols.2) Comprehension -Can read the problems well but cannot comprehend themeaning of the words, symbols or question.3) Transformation-Cannot transform sentences into mathematical forms.4) Processing skills-Can choose an appropriate operation but cannot completethe operation accurately.5) Encoding ability -Can perform the correct operations but writes the answerincorrectly.6) Careless mistakes -Mistakes made which can be caught automatically uponreviewing your work.Strategies used are :a) Critical reading of the problem sumb) Question Answer Relationship (QAR)c) Guided/scaffolded worksheet/hint cardsd) Visualization
  3. 3. Kavita Grover Page 3A.Question Answer Relationship (QAR)Objective: Reading and writing in math How to critically read a problem sum and find the key word to identifythe operation.Problem sum:1) There are 386 mangoes on a tree. One day duringa storm, 124 mangoes fell down. How manymangoes are left on the tree?What type of tree was it?What was growing on it?How many mangoes were growingon it?What happened on day?What happens during a storm?So, what happened to the mangoes?How many mangoes fell down?After the storm will the number ofmangoes on the tree be less or more?Which word in the problem statementgave you this hint?So what operation will you perform?What sign will you use?What number will you write first?Why will you write that number first?What number will you write belowit?Why will you write it below the firstnumber?Do the sum.Draw a picture also.
  4. 4. Kavita Grover Page 4How to write a problem statementa)What statement will you write first? ________________________________b) What is the second statement? ___________________________________c)What is the third statement? ________________________________d) What will be your final statement? ________________________2)A tank contained 100 l 750 ml ofwater.40 l 630 ml was used forhousehold work. Find the quantity ofwater left in the tank?Instructions: Write all the questions andanswers will you ask yourself to solvethe problem. Then show the calculations.______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
  5. 5. Kavita Grover Page 5B.Visualization1) Complete the number line of the metric system. Show the relationshipbetween the units by putting the arrow signs and the correctmultiplication/division symbol.Conversion RuleBig to small-Multiplication: B>S>MSmall to Big-Division: S>B>D
  6. 6. Kavita Grover Page 62) Mamta’s bag weighed 3kg 750g and Sushma’s bag weighed 2kg 440g.Find the weight of both the bags together.What is given in the question?____________________________________What do you have to do?____________________________________What operation will you perform?____________________________________In what units is the measurement?____________________________________What is the relationship of the units?____________________________________Keeping the decimal in mind how will you write 3kg 750g?____________________________________Can you depict the problem as a drawing?____________________________________Perform the calculation.
  7. 7. Kavita Grover Page 73) John has a pet spider and a pet rabbit. The spider is 10 mm long and therabbit is 35 cm long. How much longer is the rabbit than the spider?Draw and solve the problem. Write the correct statements and solve theproblem.
  8. 8. Kavita Grover Page 84) There are 8 kg 250g of apples in a carton.5 kg 825 gof the apples were rotten.What is the weight of the good apples?Instructions: Write questions and answers will you askyourself to solve the problem. You can also draw adiagram for help. Then show the calculations.____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
  9. 9. Kavita Grover Page 9C.Guided/ scaffolded worksheetHint cards for doing the sums.1. Problem Sum:Problem Whatdo youhave todo?Whatwordgave thehint?Whatoperationsdo youhave todo?What is theconversionrule?Do the calculation Whatunitwillyouwrite?Express18 km asmetersChangekm tomExpress,km, mI have toconvertkm into mB>S>M1 km=1000mmultiplication1 km =1000m8 km =8x1000=8000 mMProblem Whatdo youhave todo?Whatwordgave thehint?Whatoperationsdo you haveto do?What is theconversion rule?Do the calculation Whatunitwill Iwrite?Express18 km asmetersChangekm tomExpress,km, ma) I have toconvertkm intomB>S>M1 km =1000mmultiplication1 km =1000m8 km =8x1000 =8000 mmExpressas meters.b) 62 62km 305mChangekm tomExpress,km, ma) I have toconvertkm intomb) Add themetersalreadygiven inthequestionB>S>Mmultiplication1 km =1000mAdditiona) 1 km =1000m62 km =62 x 1000=62,000 mb) 62,000+ 30562,305 mm
  10. 10. Kavita Grover Page 10Change2m 5dm6cm intocmChangem, dminto cmChangem, dm,cma) I have toconvertm intodmb) Add thedm to thedmalreadyin thequestionc) Changethe dminto cmd) Add thecm I gotto cm inthequestionB>S>Ma) Multiplicationb) Additionc) Multiplicationd) Addition1m =10 dm2m= 20dm20dm +5 dm =25 dm1 dm =10cm25dm =25 x10= 250 cm250cm + 6cm = 256 cmcm
  11. 11. Kavita Grover Page 11ExpressasdecimalWhat doyou have todo?Whatrule willyouapply?Whatoperation/swill you do?Withwhatwill youdivide?Howmanyjumps?How manyplaces will thedecimalmove?PerformtheoperationWhatunit willyouwriteA. 720mm incmConvertsmallerunit tolargerSBD Divide 10 One placeto the left1 place to theleft.720 ÷ 10=72 cmcmB. 861 clin lC. 2541mm inmD. 3205 gin kgE. 20cm8mm incmConversion RuleBig to small-Multiplication: B>S>MSmall to Big-Division: S>B>D
  12. 12. Kavita Grover Page 12