MATH WORD PROBLEMS - Walch · PDF fileMATH WORD PROBLEMS WALCH PUBLISHING Josh ... they are a...

15
MATH WORD PROBLEMS WALCH PUBLISHING Josh Brackett

Transcript of MATH WORD PROBLEMS - Walch · PDF fileMATH WORD PROBLEMS WALCH PUBLISHING Josh ... they are a...

Page 1: MATH WORD PROBLEMS - Walch · PDF fileMATH WORD PROBLEMS WALCH PUBLISHING Josh ... they are a natural path to other classroom activities involving critical thinking. ... As a percentage,

MATH WORD PROBLEMSWALCH PUBLISHING

Josh Brackett

MATH WORD PROBLEMSWALCH PUBLISHING

Josh Brackett

Page 2: MATH WORD PROBLEMS - Walch · PDF fileMATH WORD PROBLEMS WALCH PUBLISHING Josh ... they are a natural path to other classroom activities involving critical thinking. ... As a percentage,

ii ii iiTable of Contents

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To the Teacher . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iv

Customary Measurement . . . . . . . . . . . . . . . . . . . . . . . . 1

Metric Measurement . . . . . . . . . . . . . . . . . . . . . . . . . . . 33

Time Measurement . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52

Money . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62

Counting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111

Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173

Answer Key . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181

ii ii iiTable of Contents

DDaaii llyy WWaarrmm--UUppss:: MMaatthh WWoorrdd PPrroobblleemmss

To the Teacher . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iv

Customary Measurement . . . . . . . . . . . . . . . . . . . . . . . . 1

Metric Measurement . . . . . . . . . . . . . . . . . . . . . . . . . . . 33

Time Measurement . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52

Money . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62

Counting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111

Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173

Answer Key . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181

Page 3: MATH WORD PROBLEMS - Walch · PDF fileMATH WORD PROBLEMS WALCH PUBLISHING Josh ... they are a natural path to other classroom activities involving critical thinking. ... As a percentage,

TThhee DDaaii llyy WWaarrmm--UUppss sseerriieess is a wonderful way to turn extra classroom minutes into valuable learning time. The 180 quick activities—one for each day of the school year—review,practice, and teach math word problems. These daily activities may be used at the very beginningof class to get students into learning mode, near the end of class to make good educational use of that transitional time, in the middle of class to shift gears between lessons—or whenever elseyou have minutes that now go unused. In addition to providing students with fascinating mathactivities, they are a natural path to other classroom activities involving critical thinking.

Daily Warm-Ups are easy-to-use reproducibles—simply photocopy the day’s activity and distributeit. Or make a transparency of the activity and project it on the board. You may want to use theactivities for extra-credit points or as a check on problem-solving skills.

However you choose to use them, Daily Warm-Ups are a convenient and useful supplement toyour regular lesson plans. Make every minute of your class time count!

TThhee DDaaii llyy WWaarrmm--UUppss sseerriieess is a wonderful way to turn extra classroom minutes into valuable learning time. The 180 quick activities—one for each day of the school year—review,practice, and teach math word problems. These daily activities may be used at the very beginningof class to get students into learning mode, near the end of class to make good educational use of that transitional time, in the middle of class to shift gears between lessons—or whenever elseyou have minutes that now go unused. In addition to providing students with fascinating mathactivities, they are a natural path to other classroom activities involving critical thinking.

Daily Warm-Ups are easy-to-use reproducibles—simply photocopy the day’s activity and distributeit. Or make a transparency of the activity and project it on the board. You may want to use theactivities for extra-credit points or as a check on problem-solving skills.

However you choose to use them, Daily Warm-Ups are a convenient and useful supplement toyour regular lesson plans. Make every minute of your class time count!

Page 4: MATH WORD PROBLEMS - Walch · PDF fileMATH WORD PROBLEMS WALCH PUBLISHING Josh ... they are a natural path to other classroom activities involving critical thinking. ... As a percentage,

CCuussttoommaarryy MMeeaassuurreemmeenntt

A helium balloon was let loose from San Francisco,California, which is at sea level. It rose to 10,000 ft andwas carried eastward by the winds. Then it lost 4,720 ftof altitude and came down in Denver, Colorado. Howhigh is Denver?

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11

CCuussttoommaarryy MMeeaassuurreemmeenntt

A helium balloon was let loose from San Francisco,California, which is at sea level. It rose to 10,000 ft andwas carried eastward by the winds. Then it lost 4,720 ftof altitude and came down in Denver, Colorado. Howhigh is Denver?

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© 2004 Walch Publishing

11

Page 5: MATH WORD PROBLEMS - Walch · PDF fileMATH WORD PROBLEMS WALCH PUBLISHING Josh ... they are a natural path to other classroom activities involving critical thinking. ... As a percentage,

CCuussttoommaarryy MMeeaassuurreemmeenntt

A helium balloon rose to 500 ft and was blownsideways for about a mile. Then it went up 350 ft,came down 100 ft, and went up 400 ft. What is thehighest altitude the balloon reached?

© 2004 Walch Publishing

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CCuussttoommaarryy MMeeaassuurreemmeenntt

A helium balloon rose to 500 ft and was blownsideways for about a mile. Then it went up 350 ft,came down 100 ft, and went up 400 ft. What is thehighest altitude the balloon reached?

© 2004 Walch Publishing

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Page 6: MATH WORD PROBLEMS - Walch · PDF fileMATH WORD PROBLEMS WALCH PUBLISHING Josh ... they are a natural path to other classroom activities involving critical thinking. ... As a percentage,

MMeettrriicc MMeeaassuurreemmeenntt

Sarah dove off the 10-m platform into the pool. Shewent 2 m below the surface before she started to comeup. How far from the platform was she then?

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33 77

MMeettrriicc MMeeaassuurreemmeenntt

Sarah dove off the 10-m platform into the pool. Shewent 2 m below the surface before she started to comeup. How far from the platform was she then?

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Page 7: MATH WORD PROBLEMS - Walch · PDF fileMATH WORD PROBLEMS WALCH PUBLISHING Josh ... they are a natural path to other classroom activities involving critical thinking. ... As a percentage,

MMeettrriicc MMeeaassuurreemmeenntt

A missile was fired from a submarine floating 200 mbelow the surface of the ocean. It rose to a height of500 m above sea level before coming down. How highabove the submarine did the missile go?

© 2004 Walch Publishing

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MMeettrriicc MMeeaassuurreemmeenntt

A missile was fired from a submarine floating 200 mbelow the surface of the ocean. It rose to a height of500 m above sea level before coming down. How highabove the submarine did the missile go?

© 2004 Walch Publishing

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Page 8: MATH WORD PROBLEMS - Walch · PDF fileMATH WORD PROBLEMS WALCH PUBLISHING Josh ... they are a natural path to other classroom activities involving critical thinking. ... As a percentage,

TTiimmee MMeeaassuurreemmeenntt

Darcy’s band recorded a song that lasted 3 min 23 sec.They decided it was too short, so they added another2 min 49 sec to it. How long is the new version?

© 2004 Walch Publishing

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TTiimmee MMeeaassuurreemmeenntt

Darcy’s band recorded a song that lasted 3 min 23 sec.They decided it was too short, so they added another2 min 49 sec to it. How long is the new version?

© 2004 Walch Publishing

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Page 9: MATH WORD PROBLEMS - Walch · PDF fileMATH WORD PROBLEMS WALCH PUBLISHING Josh ... they are a natural path to other classroom activities involving critical thinking. ... As a percentage,

TTiimmee MMeeaassuurreemmeenntt

Darcy’s band recorded a song that lasted 7 min 13 sec.They decided it was too long, so they cut 1 min 22 secout of it. How long is the cut version?

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TTiimmee MMeeaassuurreemmeenntt

Darcy’s band recorded a song that lasted 7 min 13 sec.They decided it was too long, so they cut 1 min 22 secout of it. How long is the cut version?

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Page 10: MATH WORD PROBLEMS - Walch · PDF fileMATH WORD PROBLEMS WALCH PUBLISHING Josh ... they are a natural path to other classroom activities involving critical thinking. ... As a percentage,

MMoonneeyy

According to her October 5 statement, Felicia owes$500 on her credit card account. She sends in theminimum payment, which is $10. It arrives just beforethe November 5 statement is printed. The credit cardcompany charges 18% per year (1 % per month) for a finance charge. What will the balance be on herNovember 5 statement? As a percentage, what part of the $10 payment went to pay interest rather than reduce Felicia’s balance?

12

© 2004 Walch Publishing

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MMoonneeyy

According to her October 5 statement, Felicia owes$500 on her credit card account. She sends in theminimum payment, which is $10. It arrives just beforethe November 5 statement is printed. The credit cardcompany charges 18% per year (1 % per month) for a finance charge. What will the balance be on herNovember 5 statement? As a percentage, what part of the $10 payment went to pay interest rather than reduce Felicia’s balance?

12

© 2004 Walch Publishing

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Page 11: MATH WORD PROBLEMS - Walch · PDF fileMATH WORD PROBLEMS WALCH PUBLISHING Josh ... they are a natural path to other classroom activities involving critical thinking. ... As a percentage,

MMoonneeyy

William lives in Massachusetts, where there is a 5%sales tax on everything sold in stores except food andclothing. He went to a store and bought a shirt for$29.99, a CD for $18.99, and a pen for $2.00. Howmuch did he have to pay?

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MMoonneeyy

William lives in Massachusetts, where there is a 5%sales tax on everything sold in stores except food andclothing. He went to a store and bought a shirt for$29.99, a CD for $18.99, and a pen for $2.00. Howmuch did he have to pay?

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Page 12: MATH WORD PROBLEMS - Walch · PDF fileMATH WORD PROBLEMS WALCH PUBLISHING Josh ... they are a natural path to other classroom activities involving critical thinking. ... As a percentage,

CCoouunnttiinngg

A candy company wants to sell chocolates in rectangularboxes of 36. A box that holds one row of 36 would betoo difficult to handle. What other rectangular arrays of36 chocolates are possible?

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CCoouunnttiinngg

A candy company wants to sell chocolates in rectangularboxes of 36. A box that holds one row of 36 would betoo difficult to handle. What other rectangular arrays of36 chocolates are possible?

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Page 13: MATH WORD PROBLEMS - Walch · PDF fileMATH WORD PROBLEMS WALCH PUBLISHING Josh ... they are a natural path to other classroom activities involving critical thinking. ... As a percentage,

CCoouunnttiinngg

Gertrude has a fruit store. She likes to display orangesby stacking them up in a pyramid with 1 orange ontop supported by 4 oranges underneath it, which aresupported by 9 oranges underneath them, and so on.She stacks the oranges up 7 layers high. How manyoranges are there in the display?

© 2004 Walch Publishing

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CCoouunnttiinngg

Gertrude has a fruit store. She likes to display orangesby stacking them up in a pyramid with 1 orange ontop supported by 4 oranges underneath it, which aresupported by 9 oranges underneath them, and so on.She stacks the oranges up 7 layers high. How manyoranges are there in the display?

© 2004 Walch Publishing

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Page 14: MATH WORD PROBLEMS - Walch · PDF fileMATH WORD PROBLEMS WALCH PUBLISHING Josh ... they are a natural path to other classroom activities involving critical thinking. ... As a percentage,

PPrroobbaabbii ll ii ttyy

A standard deck of playing cards has 52 cards. No twocards are alike. Each card has both a value and a suit.There are 4 suits: hearts, diamonds, clubs, and spades.Each suit has 13 cards in it with values of 2, 3, 4, 5, 6,7, 8, 9, 10, jack, queen, king, and ace. If you choose a card at random, what are the chances that you willchoose a king?

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PPrroobbaabbii ll ii ttyy

A standard deck of playing cards has 52 cards. No twocards are alike. Each card has both a value and a suit.There are 4 suits: hearts, diamonds, clubs, and spades.Each suit has 13 cards in it with values of 2, 3, 4, 5, 6,7, 8, 9, 10, jack, queen, king, and ace. If you choose a card at random, what are the chances that you willchoose a king?

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Page 15: MATH WORD PROBLEMS - Walch · PDF fileMATH WORD PROBLEMS WALCH PUBLISHING Josh ... they are a natural path to other classroom activities involving critical thinking. ... As a percentage,

PPrroobbaabbii ll ii ttyy

A standard deck of playing cards has 52 cards. No twocards are alike. Each card has both a value and a suit.There are 4 suits: hearts, diamonds, clubs, and spades.Each suit has 13 cards in it with values of 2, 3, 4, 5, 6,7, 8, 9, 10, jack, queen, king, and ace. If you choose 2 cards at random, what are the chances that you willchoose 2 kings?

© 2004 Walch Publishing

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PPrroobbaabbii ll ii ttyy

A standard deck of playing cards has 52 cards. No twocards are alike. Each card has both a value and a suit.There are 4 suits: hearts, diamonds, clubs, and spades.Each suit has 13 cards in it with values of 2, 3, 4, 5, 6,7, 8, 9, 10, jack, queen, king, and ace. If you choose 2 cards at random, what are the chances that you willchoose 2 kings?

© 2004 Walch Publishing

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