problem of the day recreated by jennifer johnsen source: scott foresman math 4 th grade

Problem of the DayProblem of the DayProblem of the DayProblem of the Day

Recreated by Jennifer JohnsenRecreated by Jennifer Johnsen

Source: Scott Foresman Math 4Source: Scott Foresman Math 4thth grade grade

Problem of the Day 1-1Problem of the Day 1-1Problem of the Day 1-1Problem of the Day 1-1

Tell what information is not Tell what information is not needed. Then solve. needed. Then solve.

Sue collected 73 bugs and Vern Sue collected 73 bugs and Vern collected 65 bugs, including 47 collected 65 bugs, including 47 with wings. How man of Vern’s with wings. How man of Vern’s bugs did not have wings?bugs did not have wings?


How many more milligrams of How many more milligrams of calcium does one orange have calcium does one orange have than one banana?than one banana?

Milligrams of Calcium in FruitMilligrams of Calcium in FruitFruit Milligrams of Calcium

Apple 10

Banana 7

Orange 52

Peach 4


The sum of my digits is 13. The sum of my digits is 13.

My hundreds place is 3 less than My hundreds place is 3 less than 5.5.

My ones place is 4 more than 3.My ones place is 4 more than 3.

My thousands place is even.My thousands place is even.

What 4-digit numbers can I be?What 4-digit numbers can I be?


How many more lines of How many more lines of symmetry does Figure A have symmetry does Figure A have than Figure B? (Hint: Use than Figure B? (Hint: Use objects.)objects.)

Square

Rectangle


Heather, Erin, and Greg are going Heather, Erin, and Greg are going to the movies. List the different to the movies. List the different ways they could sit in a row. ways they could sit in a row. How many ways could Erin and How many ways could Erin and Greg sit next to each other?Greg sit next to each other?


Tell the operation needed to Tell the operation needed to solve the problem.solve the problem.

Toby, Neal, and Quinn each gave Toby, Neal, and Quinn each gave canned food to the Food Drive. canned food to the Food Drive. How many cans did they give How many cans did they give altogether?altogether?


If you took a shape out of this If you took a shape out of this box without looking, which shape box without looking, which shape would you be most likely to pick? would you be most likely to pick? Which shape would you be least Which shape would you be least likely to pick? Explain.likely to pick? Explain.


How many more miles did Montel How many more miles did Montel ride than Vicky?ride than Vicky?

Train RidesTrain Rides

Monday Tuesday

Montel 15 miles 22 miles

Vicky 18 miles 13 miles


How many triangles can you find How many triangles can you find in the picture? What other shapes in the picture? What other shapes can you find? (Hint: Draw a can you find? (Hint: Draw a picture.)picture.)


Makena’s turtle crawled 1 foot, 3 Makena’s turtle crawled 1 foot, 3 inches. Whit’s turtle crawled 16 inches. Whit’s turtle crawled 16 inches. Ryan’s turtle crawled 11 inches. Ryan’s turtle crawled 11 inches. Which turtle crawled the inches. Which turtle crawled the furthest? (Hint: 12 inches = 1 furthest? (Hint: 12 inches = 1 foot)foot)


Write a number sentence. Solve.Write a number sentence. Solve.

Lacy bought a hat and a wrench. Lacy bought a hat and a wrench. How much money did she spend?How much money did she spend?

$9 $12


The Mayan civilization (A.D. The Mayan civilization (A.D. 300 to 900) used these 300 to 900) used these symbols to represent symbols to represent numbers. Copy and numbers. Copy and complete the table. complete the table.

Value Symbol

Value Symbol

Value Symbol

3 9 14

4 10 15

7 13 19

Value Symbol

1

5

Mayan Numerals


Mr. Cho bought 75 apples, 55 Mr. Cho bought 75 apples, 55 oranges, and some pears. After oranges, and some pears. After he sold 3 oranges, he had 212 he sold 3 oranges, he had 212 pieces of fruit left. How many pieces of fruit left. How many pears did Mr. Cho buy?pears did Mr. Cho buy?


Jason had $0.87 in his pocket. Jason had $0.87 in his pocket. He took out 3 quarters. List all of He took out 3 quarters. List all of the possible combinations of the possible combinations of coins he could have left in his coins he could have left in his pocket. (Hint: Make an pocket. (Hint: Make an organized list.)organized list.)


Ezra has an apple, a pear, a Ezra has an apple, a pear, a banana, and an orange. He can banana, and an orange. He can take only two pieces of fruit on take only two pieces of fruit on his field trip. What different his field trip. What different combinations of fruit can he combinations of fruit can he take?take?


Draw a picture to Draw a picture to show the main idea. show the main idea. Solve. Solve.

The animal rescue The animal rescue association put this association put this ad in the newspaper: ad in the newspaper:

How many animals How many animals need adopting?need adopting?

Available for Immediate Adoption:

29 cats

15 dogs


Place these stadiums in order Place these stadiums in order from least to greatest according from least to greatest according to their seating capacity.to their seating capacity.

Stadium Seats

Stadium S 66,944

Stadium B 65,600

Stadium J 66,321

Stadium R 56,127

Stadium T 65,675

Stadium V 65,352


Dennis had $9 on Monday. He Dennis had $9 on Monday. He earned $3 on Tuesday for earned $3 on Tuesday for mowing the yard. On Friday he mowing the yard. On Friday he spent $4 at a bookstore. How spent $4 at a bookstore. How much did he have then?much did he have then?


Sally made 8 bookmarks. Sally made 8 bookmarks.

Each bookmark was made with 3 Each bookmark was made with 3 ribbons. How many ribbons did ribbons. How many ribbons did she use?she use?

(Hint: Make a table.)(Hint: Make a table.)


Mrs. Taylor makes hummingbird Mrs. Taylor makes hummingbird food. She uses 4 cups of water food. She uses 4 cups of water for every 1 cup of sugar. How for every 1 cup of sugar. How many cups of water does she many cups of water does she need if she has 5 cups of sugar?need if she has 5 cups of sugar?


What information is needed to What information is needed to solve the problem?solve the problem?

In a football game, the winning In a football game, the winning team passed for 47 more yards team passed for 47 more yards than the losing team. How many than the losing team. How many yards did the winning team pass yards did the winning team pass for?for?


Cinco de MayoCinco de Mayo is a Mexican is a Mexican holiday. It helps people holiday. It helps people remember the victory of the remember the victory of the Mexican Army over the French at Mexican Army over the French at the Battle of Puebla in 1862. the Battle of Puebla in 1862. How long has it been since the How long has it been since the Battle of Puebla?Battle of Puebla?


Vincent has 383 football cards Vincent has 383 football cards and 439 baseball cards. How and 439 baseball cards. How many more does he need to have many more does he need to have 1,000 sports cards?1,000 sports cards?


How did the number of tickets How did the number of tickets sold change over the week? sold change over the week? (Hint: Make a bar graph.)(Hint: Make a bar graph.)

High School Football Tickets SoldHigh School Football Tickets Sold

Day Tickets

Monday 12

Tuesday 23

Wednesday 35

Thursday 40

Friday 55


Between which two years did Between which two years did Trevor grow the most? (Hint: Trevor grow the most? (Hint: Make a line graph.)Make a line graph.)

Trevor’s HeightTrevor’s Height

Year Height

Year 1 30 inches

Year 2 35 inches

Year 3 38 inches

Year 4 41 inches

Year 5 43 inches


Write an expression. Find its Write an expression. Find its value. Roger found 6 shells. Tom value. Roger found 6 shells. Tom found 8 more shells than Roger. found 8 more shells than Roger. How many shells did Tom find?How many shells did Tom find?


How many right angles are in How many right angles are in each figure below?each figure below?

Figure A

Figure BFigure C


Carrie bought a soccer ball and a Carrie bought a soccer ball and a bat. How much change should bat. How much change should she get from $10.00?she get from $10.00?

$3.49

$2.89

$3.49


In which step will the number In which step will the number 200,000 appear? (Hint: Look for 200,000 appear? (Hint: Look for a pattern.)a pattern.)

Step 1: 194,000Step 1: 194,000

Step 2: 195,000Step 2: 195,000

Step 3: 196,000; and so on.Step 3: 196,000; and so on.


Look for a pattern. Draw the Look for a pattern. Draw the next two shapes.next two shapes.


Write a number expression. Write a number expression.

Give its value.Give its value.

Antonio had $134 in his savings Antonio had $134 in his savings account. He put in $67 more. account. He put in $67 more. How much was in Antonio’s How much was in Antonio’s account then?account then?


The country of Indonesia is a The country of Indonesia is a group of islands between Asia group of islands between Asia and Australia. It has an area of and Australia. It has an area of 704,400 square miles and the 704,400 square miles and the 4th greatest population in the 4th greatest population in the world, 228,437,870 people. world, 228,437,870 people. Write the word form for each Write the word form for each number.number.


Jason bought 4 packages of Jason bought 4 packages of pencils and 3 packages of pencil pencils and 3 packages of pencil erasers. How many extra erasers erasers. How many extra erasers did he have?did he have?

5 pencils per package

8 erasers per package


Lee and Amy fed their dog Sox Lee and Amy fed their dog Sox 24 days in a row. Lee fed Sox 24 days in a row. Lee fed Sox two days more than Amy. How two days more than Amy. How many days did each feed Sox? many days did each feed Sox? (Hint: Try, check, and revise.)(Hint: Try, check, and revise.)


Mr. Carter spent $16 for museum Mr. Carter spent $16 for museum admission. He had 3 people with admission. He had 3 people with him. Which tickets did he buy?him. Which tickets did he buy?

Admission PricesAdmission Prices

Ticket (age) Price

Child (0-18) $3

Adult (19-55) $6

Senior (56 and over)

$4


Draw a picture to show the main Draw a picture to show the main idea. Then solve.idea. Then solve.

What is the area of water in What is the area of water in South Carolina? South Carolina? South South CarolinaCarolina Area

(in square miles)

Land 30,109

Water ?

Total 32,020


Jo spent $18. Copy and complete Jo spent $18. Copy and complete the table to show how much she the table to show how much she had left if she started with had left if she started with dd dollars.dollars. d d-18

23

41

52 34

74

100


Mona and Cora are playing a Mona and Cora are playing a game that uses the spinner game that uses the spinner shown. Give the chances of shown. Give the chances of spinning each outcome.spinning each outcome.

23

1

20

31

1


Use the table to decide who came in Use the table to decide who came in first. (Hint: Use logical reasoning.)first. (Hint: Use logical reasoning.)• Diane was third.Diane was third.• Desi was NOT first.Desi was NOT first.• Kevin was second.Kevin was second.

Kevin Diane Whitney

Desi

1st

2nd

3rd

4th


Suzanne’s birthday is in June. Suzanne’s birthday is in June. What is the date of her birthday?What is the date of her birthday?

(Hint: Use a calendar.)(Hint: Use a calendar.)• The date has 2 digits.The date has 2 digits.• The sum of the digits is 5.The sum of the digits is 5.• The date of her birthday is an The date of her birthday is an odd number.odd number.


Write the hidden questions. Write the hidden questions. Solve.Solve.

In the 2000 Summer Olympics, In the 2000 Summer Olympics, how many more medals did the how many more medals did the U.S. win than China?U.S. win than China?

2000 Summer Olympics2000 Summer OlympicsGold Silver Bronze

U.S. 40 24 33

China 28 16 15


How much longer do goose eggs How much longer do goose eggs incubate than pigeon eggs?incubate than pigeon eggs?

0

5

10

15

20

25

30

Days

Chicken Duck Goose Pigeon Turkey

Eggs

Incubation Time of Eggs


The flower shop bought 27 red The flower shop bought 27 red roses and 32 yellow roses. How roses and 32 yellow roses. How many arrangements can they many arrangements can they make like the one shown?make like the one shown?


Mr. Gilbert is putting new Mr. Gilbert is putting new numbers on apartments 1 numbers on apartments 1 through 20 in his apartment through 20 in his apartment complex. How many digits will complex. How many digits will he use to number these he use to number these apartments? (Hint: Solve a apartments? (Hint: Solve a simpler problem.)simpler problem.)


Which river or Which river or rivers round to rivers round to 1,300 miles 1,300 miles when rounded when rounded to the nearest to the nearest hundred and hundred and 1,320 miles 1,320 miles when rounded when rounded to the nearest to the nearest ten?ten?

River Length (miles)

Irrawaddy 1,337

Kolyma 1,323

Syr 1,370

Tarim 1,261

Asian Rivers


Tell if you need an Tell if you need an exact answer or an exact answer or an estimate. Then estimate. Then solve. Which solve. Which states combined states combined have about 18,000 have about 18,000 square miles of square miles of land area?land area?

State Square

Miles

Maryland 9,774

Massachusetts 7,840

New Hampshire

8,968

New Jersey 7,417

Vermont 9,250

Land Area of States


Find the area of the playground Find the area of the playground below. Write your answer in below. Write your answer in square units.square units.


Jerico had $50.00. She Jerico had $50.00. She bought a pair of shoes and a bought a pair of shoes and a skirt. The tax was $3.81. How skirt. The tax was $3.81. How much money did Jerico have left?much money did Jerico have left?

$18.99$25.99


Mr. Greer cut a board into Mr. Greer cut a board into two equal pieces. After he cut 5 two equal pieces. After he cut 5 inches off one of the pieces, the inches off one of the pieces, the rest of it was 7 inches. How long rest of it was 7 inches. How long was the original board? (Hint: was the original board? (Hint: Work backward.)Work backward.)


Tessa bought a Tessa bought a poster, a poster, a paperback book, paperback book, and a bookmark. and a bookmark. She had $0.55 left. She had $0.55 left. How much did How much did Tessa have before Tessa have before she bought these she bought these items?items?

Bookmarks

$0.75

Paperback Books

$2.95

Posters $1.75

Prices


Tell what operation.Tell what operation.

Then solve.Then solve.

How many days are in 9 How many days are in 9 weeks?weeks?


In 2000, the population of the state of Wyoming was 493,782. What would the population be if there were an increase of 10,000? Of 100,000?


Mrs. Kelly bought 20 Mrs. Kelly bought 20 yards of material. She made yards of material. She made 4 dresses. Each dress used 3 4 dresses. Each dress used 3 yards. How many yards of yards. How many yards of material did Mrs. Kelly have material did Mrs. Kelly have left?left?


Rachel and Ryan are Rachel and Ryan are having a party. Rachel having a party. Rachel invited 6 friends, and Ryan invited 6 friends, and Ryan invited 9. Write a number invited 9. Write a number sentence to find how many sentence to find how many friends Rachel and Ryan friends Rachel and Ryan invited in all.invited in all.


Tiana received 13 Tiana received 13 greeting cards. Seven of the greeting cards. Seven of the cards came from people who cards came from people who lived in other states. Write a lived in other states. Write a number sentence to find how number sentence to find how many cards came from many cards came from people who live in her state.people who live in her state.


Write the Write the hidden hidden questions. questions. Solve. Did Solve. Did Jackson ride Jackson ride more miles more miles Tuesday and Tuesday and Wednesday or Wednesday or Thursday and Thursday and Friday?Friday?

Miles Jackson Rode

0

2

4

6

8

10

12

14

16

Monday Tuesday Wednesday Thursday Friday

Days

Mil

es


Explain if the spinner Explain if the spinner below is fair or unfair. If it is below is fair or unfair. If it is unfair, draw a spinner that unfair, draw a spinner that would be fair.would be fair.

Yellow Blue

GreenRed


Joy started her homework Joy started her homework at 4:45 P.M. She worked for at 4:45 P.M. She worked for 20 minutes, ate dinner for 30 20 minutes, ate dinner for 30 minutes, and then worked 20 minutes, and then worked 20 more minutes. What time more minutes. What time did Joy finish her homework?did Joy finish her homework?


The figure below has a The figure below has a perimeter of 18 units. Where perimeter of 18 units. Where can you move two of the can you move two of the squares to make a figure squares to make a figure with a perimeter of 12 units? with a perimeter of 12 units? (Hint: Use objects.)(Hint: Use objects.)


Copy the parallelogram. Copy the parallelogram. Make one straight cut so that Make one straight cut so that the two pieces can be the two pieces can be arranged to form a rectangle. arranged to form a rectangle.


Write an Write an expression. expression. Then find its Then find its value. value.

How much How much longer is the longer is the Amazon River Amazon River than the Chang than the Chang River?River?

River Lengths

3940 3950 3960 3970 3980 3990 4000 4010

Chang

Amazon

Riv

ers

Miles


When will be the next When will be the next Year of the Tiger? Year of the Year of the Tiger? Year of the Horse?Horse?

Tiger

1986

1998

Hare19871999

Hors

e

1990

2002

Dog1982

1994

Sheep

1991

2003

Monkey

1992

2004

Rat

198

4

199

6

Ox

1985

1997

Dra

go

n

1988

2000

Snak

e19

8920

01

Rooster

19811993

Pig

1983

1995


Miss Amy had $178.34. Miss Amy had $178.34. Then she taught four 2-hour Then she taught four 2-hour flute lessons. She charged flute lessons. She charged $20 an hour. How much did $20 an hour. How much did she have after the flute she have after the flute lessons?lessons?


Sasha is making a border Sasha is making a border near her ceiling. She puts up near her ceiling. She puts up 3 stars, 2 moons, 3 stars, 2 3 stars, 2 moons, 3 stars, 2 moons, and so on. If she moons, and so on. If she uses 8 moons and then uses 8 moons and then stops, how many stars has stops, how many stars has she used? (Hint: Draw a she used? (Hint: Draw a picture.)picture.)


Manny is shorter than Manny is shorter than Rex, but taller than Victor. Rex, but taller than Victor. Rex is shorter than Steve. Rex is shorter than Steve. Who is the tallest?Who is the tallest?


Tell what information is Tell what information is not needed. Then solve. not needed. Then solve. Mrs. Keagan needs 1 pound Mrs. Keagan needs 1 pound of meat and 2 slices of bread of meat and 2 slices of bread to make 15 meatballs. How to make 15 meatballs. How many meatballs can she many meatballs can she make out of 5 pounds of make out of 5 pounds of meat?meat?


What is the probability of What is the probability of taking a star out of the bag? taking a star out of the bag? a circle? (Hint: Use a circle? (Hint: Use fractions.)fractions.)


Copy and complete the Copy and complete the invoice. How much did invoice. How much did Happy Kitties spend on Happy Kitties spend on supplies?supplies? InvoiceInvoiceQuantity Item Price of

OnePrice of All

3 Bags of Cat Litter

$3.78 ?

2 Bags of Cat Food $4.96 ?

4 Bags of Cat Treats

$3.19 ?

TAX $2.89

TOTAL ?


Find all the Find all the different different combinations of combinations of uniforms uniforms Kathleen could Kathleen could wear. wear.

(Hint: Make an (Hint: Make an organized list.)organized list.)

Bottoms TopsShorts BluePants Navy

RedWhite

Uniform Choices


Hailey likes sausage, Hailey likes sausage, pepperoni, hamburger, and pepperoni, hamburger, and Canadian bacon on her pizza. Canadian bacon on her pizza. List all the combinations of List all the combinations of two meat toppings she could two meat toppings she could orderorder


Each package of trading Each package of trading cards has 20 cards. Mrs. cards has 20 cards. Mrs. Wininger bought 2 packages Wininger bought 2 packages for each of her 4 children. for each of her 4 children. Write a number sentence to Write a number sentence to find the number of cards Mrs. find the number of cards Mrs. Wininger purchased.Wininger purchased.


These are Chinese words used These are Chinese words used for some numbers:for some numbers:

11 yiyi 1010 shishi33 sansan 1111 shiyishiyi66 liuliu 1313 shisanshisan

What word is used for 16? Explain.What word is used for 16? Explain.


How much greater is the How much greater is the perimeter of Figure A than perimeter of Figure A than Figure B? (Remember: Figure B? (Remember: Perimeter is the distance Perimeter is the distance around the shape.)around the shape.)

Figure A

Figure B

12 inches

8 inches4 inches

12 inches


Tyrone gets $2 after every Tyrone gets $2 after every third time he takes the dog third time he takes the dog out for a walk. If he has out for a walk. If he has walked the dog 27 times walked the dog 27 times this month, how much this month, how much money has he earned? money has he earned? (Hint: Make a table.)(Hint: Make a table.)


The zoo offers 5 boat tours The zoo offers 5 boat tours and 8 train tours every day. and 8 train tours every day. How many tours will the How many tours will the train have made when the train have made when the boat has made 35 tours? boat has made 35 tours? (Hint: Make a table.)(Hint: Make a table.)


Tell what operation. Solve.Tell what operation. Solve.

Mr. Top is printing Mr. Top is printing programs for the seats at programs for the seats at the dinner theater. There the dinner theater. There are 45 tables that each seat are 45 tables that each seat 4 people. How many 4 people. How many programs must he print?programs must he print?


Graph (4, 1), (1, 2), and Graph (4, 1), (1, 2), and (4,4). Then connect the (4,4). Then connect the points. Is the triangle you points. Is the triangle you formed formed rightright, , acuteacute, or , or obtuseobtuse? (Hint: Use graph ? (Hint: Use graph paper.)paper.)


Which state has a greater Which state has a greater difference in altitude? difference in altitude?

State Highest Point Lowest Point

Arkansas Magazine Mountain2,753 feet

Ouachita River55 feet

North Dakota

White Butte3,506 feet

Red River750 feet

Altitude of States


Between which Between which two weeks did two weeks did Tori’s plant Tori’s plant grow the most? grow the most? (Hint: Make a (Hint: Make a line graph.)line graph.)

Week Height in

inches

1 1

2 3

3 4

4 8

5 9

Tori’s Plant Growth


How did the attendance at How did the attendance at after-school tutoring change after-school tutoring change over the week? (Hint: Make over the week? (Hint: Make a bar graph.) a bar graph.)

After-School Tutoring Attendance

Day Monday

Tuesday

Wednesday

Thursday

Friday

Attendance

10 14 20 25 6

problem of the day recreated by jennifer johnsen source: scott foresman math 4 th grade

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figure b figure c slide

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stadium j66