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Ask the Expert: Challenging Word ProblemsCassy Turner

singaporemathsource.comCassy@singaporemathsource.com

Twitter Bio: Passionate about Singapore Math, Teacher Trainer/Coach, Treasure Hunter, Learner, Answer to the ultimate question? 42.Slides at:bitly.com/sdehandouts

A little bit about me.Learned about Singapore Math in 2001 or so. EpiphanyTaught 3rd & 6th grade worked with other grades. Currently work with teachersIn the summer of 2007, I traveled to Singapore to see the curriculum in actionLet me learn a bit about you-

HOW MANY OF YOU HERE HAVE JUST ADOPTED A Singapore Math Curriculum? How many have completed your first year? Second3

What is problem solving?

Polyas Steps in Problem Solving See Plan Do Look BackIf we cant look for key words, what CAN we do?

These are based on George Polya from the 1950s (So much for new math!)See - What are we trying to do; identify? Plan What operation should I use, how do I solve this?Do Work the problem.Look Back - Does my answer satisfy the question? Does it make sense?

6Part Whole ModelsDonna has 6 bananas. Mary has 8 bananas. They have ? bananas altogether.

DonnaMary7Part-Whole modelsDonna has 6 bananas. Mary has 8 bananas. They have ? Bananas altogether.DonnaMary68?They have 14 bananas altogether.8Add challengeDonna has 46 bananas. Mary has 28 bananas. They have ? bananas altogether.DonnaMary4628?They have 74 bananas altogether.9Provide variationDonna has 52 bananas. The girls have 96 bananas altogether.How many bananas does Mary have?DonnaMary?5296Mary has 44 bananas.10Provide variationMary has 44 bananas. The girls have 96 bananas altogether.How many bananas does Mary have?DonnaMary44?96Donna has 52 bananas.11Part-Whole models for multiplication and division introduce the concept of equal parts/groups.

6 CHAIRS X 4 LEGS ON EACH CHAIR12Comparison ModelsThere were 19 boys and 14 girls at the track meet. How many more boys than girls were at the track meet?boysgirls?141913Comparison ModelsThere were 19 boys at the track meet. There were 4 fewer girls than boys. How many girls were at the track meet?boysgirls4?1914Multi-steps Provide ChallengeJames, Tom, and Cal collected a total of 48 baseball caps. James collected 31 caps. Tom collected 19 caps. How many caps did Cal collect ?JamesTom48Cal31?915Sam had 366 stamps in his stamp collection. He had 98 fewer stamps than Thomas. How many stamps do they have altogether?Step 1:How many stamps does Thomas have?Step 2:How many stamps do they have altogether?ThomasSam?36698?366 + 98 = 464 stamps

Thomas has 464 stamps. 464 + 366 = 830The boys had 830 stamps altogether.ThomasSam ?366?46416p. 180 CWP Standards grade 3174. Ron had 5 times as much money as Tim. If Ron had $504 more than Tim, How much money did Ron and Tim have altogether?p. 64 Primary 3 Mathematical Strategies4 units = $5041 unit = 504/4 =$1266 units = 126 * 6 = $756181. Andy had some money in his wallet. After receiving $38 from his father and $189 from his mother, he went to town to buy a pair of rollerblades, which cost $98. Then he spent $24 on food and found that he had $182 left. How much money did Andy have in his wallet at first?

p. 21 Primary 3 Mathematics Challenging Problems by Er$38 + $189 = $227$98 + $24 + $182 = $304$304 - $227 = $77

192. John had an equal number of pins and hats in the schools store. After selling 15 of the hats, the number of pins left was 4 times the number of remaining hats. How many pins and hats did he have in all at first?p. 24 Challenging Problems in Math by Dr. Leong15 hats = 3 units1 unit = 5 hats8 units = 5 hats x 8 = 40 hats & pins

205. 1 knife and 1 bowl cost $37. 2 such knives and 5 such bowls cost $89. Find the cost of 1 knife.

p. 31 Primary 3 Mathematics Challenging Problems by Er2 knives & 2 bowls = $37 x 2 =$74$89 - $74 = $153 bowls = $15 so one bowl = $5Knife + bowl = $37 bowl $5 = $3221p. 129 CWP Standards grade 3

22p. 52 Classroom Math Problem Sums 4

23p. 55 Classroom Math Problem Sums 4

24p. 43 i-excel 52514. Josh saved 30% of his monthly salary and spent 20% of the remainder on food. If he had $280 left, how much was his monthly salary?Want answers?Find fully worked solutions to all the problems :http://singaporemathsource.com/bar-model-solutions/

And Id appreciate any feedback you would like to provide on your evaluation forms.

Introduction to Singapore Math

Links and info:

SingaporeMathSource.com

Cassyt@gmail.com283. Mr. Tan bought 6 magazines and 3 books for $63. A magazine cost $3 less than a book. Find the cost of each magazine.8. A T-shirt cost $2 less than a pair of shorts. A dress shirt cost $13 more than the pair of shorts. Jill bought 5 of each item. If she paid $205 altogether, how much did each t-shirt cost?

p. 32 Classroom Math Problem Sums 4

Typo in handbook!!!!!3111. The sum of four numbers is 203.3. The 2nd number is 9.24 more than the 1st number. The 3rd number is 11.05 more than the 2nd number. The 4th number is 21.91 less than the 3rd number. What is the greatest number?p. 101Classroom Math Problem Sums 4

3215. 25% of a class of 32 pupils are boys. If some more boys join the class, the percentage of boys increases to 40%. How many boys join the class?16. Rae bought 100 oranges and 46 apples. After she used an equal number of oranges and apples for making fruit juice. The ratio of her remaining oranges to apples became 5:2. Find the total number of oranges and apples she used.p. 53 Iexcel 53417. Robin ate some peanuts on Sunday. On Monday she ate 2 more peanuts than on Sunday. On Tuesday, Wednesday, Thursday, Friday, and Saturday she ate 2 more peanuts than the day before. By Saturday night she had eaten 77 peanuts in the whole week. How many peanuts did Robin eat on Wednesday?p. 63 Classroom Math Problem Sums 4

36The difference between two numbers is 2,184. If the bigger number is 3 times the smaller number, find the sum of the two numbers.1 unit = 10923 units = 32764 units = 436837The sides of a triangle are in the ratio 4:5:6. If the perimeter of the triangle is 60 cm, find the length of the shortest side. 60 cm?15 60 cm 1 60 cm 15 = 4cm Shortest side 4 cm x 4 =16 cm. 38