Keeping the Meaning in Mathematics: The Craft of Word Problems

CONTENTS OF CURRICULUM UNIT 07.06.01

  1. Unit Guide
  1. Introduction
  2. Rationale
  3. Overview
  4. Strategies
  5. Classroom Activities
  6. Notes
  7. Appendix
  8. Annotated Bibliography for Teachers

Teaching Addition and Subtraction Word Problems to Children

Tanya Shannon

Published September 2007

Tools for this Unit:

Appendix

Join Problems with Result Unknown

  • The ice cream store sold twenty-five popsicles this morning. They sold three popsicles this afternoon. How many popsicles were sold altogether?
  • Todd cooks 20 hotdogs. Will cooks 10 hotdogs. How many hotdogs did the boys cook altogether?
  • Mrs. Kelsey baked 26 pies last week. She baked 13 more pies this week. How many pies did Mrs. Kelsey bake in all?
  • Veronica made 3 sandwiches for the picnic. Jill made 25 sandwiches for the picnic. How many sandwiches did the girls make together?
  • Jason can make 35 cones in five minutes. Erin can make 7 cones in five minutes. How many cones can they make in five minutes together?
  • Jeremy used 35 different crayons to make his drawing. Later, he used 56 more crayons. How many crayons did Jeremy use altogether?
  • Andy had 19 videotapes. He bought 24 more at the store. How many videotapes does Andy have now?
  • Toni has 17 blue beads for her bracelet. Her mother gave her 19 green beads. How many beads does Toni have in all?
  • Leon put 37 cans of fly soup in the cart and Ken put 13 cans of cream spider soup in the cart. How many cans of soup went into the cart?
  • You have saved $2.36 last month and $.35 this month. How much money have you saved in the last two months?

Join Problems with Change Unknown

  • Todd cooks 26 hotdogs. Will cooks some more hotdogs. If they end up with 40 hotdogs altogether, how many hotdogs did Will cook?
  • Mrs. Kelsey baked 13 pies last week. She baked some more pies this week. How many pies did she bake this week if she ended up with a total of 20 pies?
  • Veronica made 13 sandwiches for the picnic. Jill made some sandwiches for the picnic. If they ended up with a total of 28 sandwiches, how many sandwiches did Jill make?
  • Jeremy bought 18 crayons. How many more crayons will he have to buy in order to have a total of 37 crayons?
  • Jeremy bought 14 crayons. His mother gave him some crayons. If Jeremy ended up with 32 crayons, how many crayons did his mother give him?
  • Andy has 23 videotapes. He buys some more. If Andy ends up with 48 videotapes total, how many videotapes did he buy?
  • Toni has 17 blue beads. Her mother gave her some more beads. How many beads did her mother give her if Toni ended up with 30 beads?
  • Leon put 37 cans of fly soup in the cart and Ken put some more cans of cream spider soup in the cart. If they ended up with 50 total cans of soup altogether, how many cans of soup went into the cart?
  • You have saved $2.30 last month. You saved some more money this month. If you ended up with a total of $3.10, how much money did you save this month?
  • The ice cream store sold twenty-five popsicles this morning. They sold some more popsicles in the afternoon. If the ice cream store sold a total of thirty-eight popsicles, how many did they sell in the afternoon?

Join Problems with Start Unknown

  • Todd had some hotdogs. Will gave him 12 more hotdogs. Now Todd has 27 hotdogs. How many hotdogs did Todd start with?
  • Mrs. Kelsey baked some pies on Monday. Tuesday she took a break from baking, but she baked 12 pies on Wednesday. She ended up with 21 pies. How many pies did she bake on Monday?
  • Veronica made some sandwiches for the picnic. Jill made 14 sandwiches for the picnic. Veronica and Jill had a total of 28 sandwiches. How many sandwiches did Veronica make?
  • Jeremy bought some crayons. His mother gave him 27 crayons. Jeremy ended up with a total of 40 crayons. How many crayons did Jeremy buy?
  • Andy has some videotapes. He bought 15 more at the store. If Andy ends up with 48 videotapes, how many tapes did Andy begin with?
  • Toni has some beads. Her friend Zora has 19 beads. Together the girls have 37 beads. How many beads does Toni have?
  • Joseph had some stamps in his collection. He bought 42 more. Now he has 60 stamps in his collection. How many stamps did he have to begin with?
  • The museum sold some tickets on Monday and 72 on Wednesday. If a total of 87 tickets were sold on Monday and Wednesday altogether, how many tickets were sold on Monday?
  • Some people that got on the bus in Atlanta. 12 people got on the bus in Decatur. If there are now 28 people on the bus altogether, how many people got on the bus in Atlanta?

Separate Problems with Result Unknown

  • The ice cream store had twenty-five popsicles this morning. They sold three popsicles this afternoon. How many popsicles were left?
  • Todd cooked 27 hotdogs. Will took 14 of Todd's hotdogs. How many hotdogs does Todd have left?
  • Mrs. Kelsey baked 20 pies. She gave 8 pies to her neighbor. How many pies did Mrs. Kelsey have left?
  • Jill had 35 sandwiches and gave 19 of them away. How many sandwiches did Jill have left?
  • Katie had 23 stickers. She gave 14 stickers to Drew. How many stickers did Katie have left?
  • Andy has 48 videotapes and he sells 29 of them. How many videotapes does Andy have left?
  • Toni has 21 beads. She gave her friend Zora 6 beads. How many beads does Toni have left?
  • Alexis loves collecting dolls. She had 48 dolls in her collection. She gave away 29 dolls to the orphanage. How many dolls does Alexis have left?
  • There were 74 dogs at the shelter. 27 of the dogs were adopted and taken to new homes. How many dogs were left at the shelter?
  • There were 28 combs in the drawer. 19 of the combs fell on the floor and we had to throw them away. How many combs were left?

Separate Problems with Change Unknown

  • The ice cream store had twenty-five popsicles this morning. If they had 19 popsicles left at the end of the day, how many popsicles did they sell?
  • Todd cooks 27 hotdogs. Will took some of Todd's hotdogs. If Todd had 13 hotdogs left, how many did Todd take?
  • Mrs. Kelsey baked 20 pies. She gave some pies to her neighbor. If Mrs. Kelsey ended up with 12 pies, how many did she give to her neighbor?
  • Veronica made 28 sandwiches for the picnic. She gave some sandwiches to Jill to take home. If Veronica had 15 sandwiches left, how many did she give to Jill?
  • Katie had 23 stickers. She gave some stickers to Drew. If Katie was left with 12 stickers, how many stickers did she give Drew?
  • Jeremy bought 32 crayons. He gave his brother some crayons. If Jeremy ended up with 14 crayons, how many crayons did he give his brother?
  • Andy has 48 videotapes and he sells some of them. If he is left with 29 tapes, how many videotapes did Andy sell?
  • Toni has 21 beads. She gives some to her friend Zora. If Toni is left with 9 beads, how many did she give to Zora?
  • Al collects baseball cards. He has 29 cards. He used to have 68, but he had to sell some to raise money for his mother's birthday present. How many cards did Al sell?

Separate Problems with Start Unknown

  • We had some popsicles in the freezer this morning. We sold 8 popsicles this afternoon. Now we have 17 popsicles. How many popsicles did we start with?
  • Todd cooks some hotdogs. Will took 14 of Todd's hotdogs. How many hotdogs did Todd start with if he now has 25 hotdogs left?
  • Mrs. Kelsey baked some pies. She gave 8 pies to her neighbor. How many pies did Mrs. Kelsey bake if she has 4 pies left?
  • Jill had some sandwiches and gave 19 of them away. How many sandwiches did Jill begin with if she has 16 sandwiches left?
  • Katie had some stickers. She gave 14 stickers to Drew. How many stickers did Katie start with if she has 54 left?
  • Jeremy bought some crayons. He gave his mother 27 crayons. How many crayons did Jeremy start with if he had 50 of them left?
  • Andy has some videotapes and he sells 29 of them. How many videotapes did Andy start with if he has 17 left?
  • Toni has some beads. She gives 26 to her friend Zora. How many beads did Toni have in the beginning if she has 45 beads left?
  • Al had some baseball cards. He sold 14 to another collector. How many cards did Al begin with if he had 23 left?
  • Mrs. Kennedy had some fruit. She have away 14 pieces to her neighbor. If Mrs. Kennedy had 18 pieces of fruit left, how many pieces did she begin with?

Part-Part-Whole Problems - Whole Unknown

  • There are 12 strawberry popsicles and 23 grape popsicles in the freezer. How many grape and strawberry popsicles are in the freezer altogether?
  • Todd cooked 16 beef hotdogs and 10 pork hotdogs. How many beef and pork hotdogs did Todd cook?
  • Mrs. Kelsey has 12 boys and 15 girls in her class. How many students does Mrs. Kelsey have in her class altogether?
  • Veronica has 23 ham sandwiches and 48 turkey sandwiches in her picnic basket. How many sandwiches does Veronica have?
  • There are 25 sharks and 15 turtles in the tank. How many sharks and turtles are in the tank altogether?
  • Katie drew 34 blue squares and 16 red squares. How many red and blue squares did Katie draw altogether?
  • Katie drew 12 butterfly pictures. She then drew 14 ladybug pictures. How many pictures did Katie draw?
  • Toni has 21 blue beads and 19 red beads. How many red and blue beads does Toni have altogether?
  • Al has 67 old baseball cards and 14 new baseball cards. How many baseball cards does he have in all?
  • Mrs. Kennedy has 14 tall glasses and 41 short glasses. How many glasses does Mrs. Kennedy have in all?

Part-Part-Whole Problems - Part Unknown

  • The store sold 20 popsicles today. 7 were grape and the rest were strawberry. How many popsicles were strawberry?
  • Todd had 43 hotdogs. Twelve of them were pork and the rest were beef. How many were beef?
  • Mrs. Kelsey baked pecan pies and key lime pies. She baked 23 pies in all, and 12 of them were pecan. How many pies were key lime?
  • Veronica made 36 sandwiches. 19 were turkey and the rest were roast beef. How many were roast beef?
  • Katie drew 23 pictures. 11 are colored blue. The rest are colored red. How many of Katie's pictures are colored red?
  • Jeremy bought 56 crayons. 23 were green and the rest were yellow. How many were yellow?
  • Andy bought 28 videotapes. 12 were cartoons and the rest were westerns. How many were westerns?
  • Toni has 42 beads. 23 are square shaped and the rest are round. How many are round?
  • Al has 34 t-shirts. 18 of them are white and the rest are red. How many of Al's t-shirts are red?
  • Mrs. Kennedy baked 13 pies. 4 of them are blueberry and the rest are apple. How many of the pies are apple?

Compare Problems - Difference Unknown

  • The ice cream shop sold 23 popsicles on Monday and 35 popsicles on Tuesday. How many more popsicles did they sell on Tuesday?
  • Todd cooks 27 hotdogs. Will cooks 14 hotdogs. How many more hotdogs did Todd cook than Will?
  • Mrs. Stacey had 19 pies. Ms. Kelsey had 7 pies. How many more pies did Mrs. Stacey have than Ms. Kelsey?
  • If Veronica has 17 sandwiches and Jill has 11 sandwiches, how many more sandwiches does Veronica have than Jill?
  • Jason can make 38 cones in five minutes. Erin can make 29 cones in five minutes. How many more cones can Jason make than Erin in five minutes?
  • Katie had 14 stickers and Drew had 19 stickers. How many more stickers did Drew have than Katie?
  • Jeremy has 47 crayons. His brother has 28 crayons. How many more crayons does Jeremy have than his brother?
  • Andy has 38 videotapes. His friend Roger has 27 videotapes. How many more videotapes does Andy have than Roger?
  • Toni has 21 beads. Her friend Zora has 6 beads. How many more beads does Toni have than Zora?
  • Lara scored 27 goals this season. Her sister scored 15 goals this season. How many more goals did Lara score than her sister?

Compare Problems - Compared Set Unknown

  • Tony has 12 popsicles. Lara has 8 more popsicles than Tony. How many popsicles does Lara have?
  • Gwen has 15 skirts. Selina has 17 more skirts than Gwen. How many skirts does Selina have?
  • Todd has 23 hotdogs. Shane has 14 more hotdogs than Todd. How many hotdogs does Shane have?
  • Mrs. Kelsey has 23 pies. Mrs. Stacey has 7 more pies than Mrs. Kelsey. How many pies does Mrs. Stacey have?
  • Veronica has 34 rings. Shana has 16 more rings than Veronica. How many rings does Shana have?
  • Katie has 68 stickers. Drew has 14 more stickers than Katie. How many stickers does Drew have?

Compare Problems - Referent Unknown

  • 101. Loni has 27 popsicles. She has 14 more than Mike. How many popsicles does Mike have?
  • 102. Tony has 83 pencils. He has 17 more than Andrew. How many pencils does Andrew have?
  • 103. Gwen has 65 shirts. She has 28 more than Selina. How many shirts does Selina have?
  • 104. Todd cooked 42 hotdogs. He has 26 more than Shane. How many hotdogs does Shane have?
  • 105. Mrs. Kelsey has 23 pies. This is 9 more than Mrs. Stacey has. How many pies does Mrs. Stacey have?
  • 106. Veronica has 43 rings. This is 34 more than Shana has. How many rings does Shana have?

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