Critical Thinking Use the clues below to write each decimal number. Be sure to put the decimal in the correct place.

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1 Name Use the clues below to write each decimal number. Be sure to put the decimal in the correct place. 1. Use the numbers: 4, 5, 8, 9 a. The 5 is in the tenths place. b. The number in the tens place is 1 2 the number in the ones place. c. The number in the hundreds place is the sum of the numbers in the tenths and tens places. The number is: 2. Use the numbers: 0, 4, 5, 6, 7 a. The number in the ones place is 7 less than the number in the tenths place. b. 5 is in the hundredths place. c. The number in the tens place is less than the number in the thousandths place. The number is: 3. Use the numbers: 2, 3, 4, 5, 6, 7 a. The number in the hundreds place is 1 2 the number in the tenths place, and the number in the thousandths place is 1 2 the number in the hundredths place. b. 5 is in the tens place. c. The number in the hundredths place is one less than the number in the ones place. The number is:

2 Name Use the clues below to write each decimal number. Be sure to put the decimal in the correct place. 1. Use the numbers: 4, 5, 8, 9 a. The 5 is in the tenths place. b. The number in the tens place is 1 2 the number in the ones place. c. The number in the hundreds place is the sum of the numbers in the tenths and tens places. The number is: 2. Use the numbers: 0, 4, 5, 6, 7 a. The number in the ones place is 7 less than the number in the tenths place. b. 5 is in the hundredths place c. The number in the tens place is less than the number in the thousandths place The number is: 3. Use the numbers: 2, 3, 4, 5, 6, 7 a. The number in the hundreds place is 1 2 the number in the tenths place, and the number in the thousandths place is 1 2 the number in the hundredths place. b. 5 is in the tens place. c. The number in the hundredths place is one less than the number in the ones place The number is:

3 Name Use the map and clues below to decide the location of the different towns. Write the name of each town in the correct location on the map as you locate it. 120 km 30 km 88 km 108 km 72 km 36 km 59 km 64 km 42 km 72 km 52 km 68 km N E W S 1. The distance from Bloomstown to Joannsburg is 68 km. 2. The distance from Joannsburg to Kenville by way of Bloomstown is 140 km. 3. The distance from Zenport to Sparkend is 1 4 the distance from Sparkend to Joannsburg. 4. Traveling at 60 km per hour, it would take 59 minutes to travel from Kenville to Reedspark. 5. The shortest route from Kenville to Knockton is 95 km. 6. If you wanted to drive from Zenport to Dewdrive through Knockton, you would drive 130 km.

4 Name Use the map and clues below to decide the location of the different towns. Write the name of each town in the correct location on the map as you locate it. 120 km Zenport 72 km Reedspark 30 km 88 km Knockton 36 km 59 km Sparkend 64 km 42 km 108 km 72 km 52 km Dewdrive 68 km Joannsburg Bloomstown Kenville N E W S 1. The distance from Bloomstown to Joannsburg is 68 km. 2. The distance from Joannsburg to Kenville by way of Bloomstown is 140 km. 3. The distance from Zenport to Sparkend is 1 4 the distance from Sparkend to Joannsburg. 4. Traveling at 60 km per hour, it would take 59 minutes to travel from Kenville to Reedspark. 5. The shortest route from Kenville to Knockton is 95 km. 6. If you wanted to drive from Zenport to Dewdrive through Knockton, you would drive 130 km.

5 Name Review the numbers in the boxes, then read the paragraph. Fill in each blank in the story with the number that is the most logical choice. You may not use any number more than once and some may not be used at all Four members of the Wilkes family decided to visit the city of Philadelphia on a family vacation. They left home at 6 A.M., and traveled about miles in 7 hours. That is an average of miles per hour. $3.75 $1.25 $8.25 $21.50 $ The first day of the trip, the family stopped for dinner at a pizzeria. They ordered two medium pizzas that cost each, and each person ordered a soda at a cost of each. Mr. Wilkes ordered a salad to share with everyone that cost. All together, the meal cost. 3. While on a walking tour of the city, the family bought tickets for a matinee performance of a show. Mrs. Wilkes paid for 2 adult tickets and paid for each of her 2 children. The total cost of the tickets was. She gave the cashier and received back in change. 4. Toni bought a birthday present for her cousin Penny. The gift cost and the card cost. The postage to mail the package cost. Toni spent less than her budget of. $28.00 $5.50 $17.00 $2.00 $30.00 $2.50 $3.00 $11.75 $20.00 $2.75

6 Name Review the numbers in the boxes, then read the paragraph. Fill in each blank in the story with the number that is the most logical choice. You may not use any number more than once and some may not be used at all Four members of the Wilkes family decided to visit the city of Philadelphia on a family vacation. They left home at 6 A.M., and traveled about miles in 7 hours. That is an average of miles per hour. $3.75 $1.25 $8.25 $21.50 $ The first day of the trip, the family stopped for dinner at a pizzeria. They ordered two medium pizzas that cost each, and each person ordered a soda at a cost of each. Mr. Wilkes ordered a salad to share with everyone that cost. All $25.25 together, the meal cost. $8.25 $1.25 $ While on a walking tour of the city, the family bought tickets for a matinee performance of a show. Mrs. Wilkes paid for 2 adult tickets and paid for each of her 2 children. The total cost of the tickets was. She gave the cashier and received back in change. 4. Toni bought a birthday present for her cousin Penny. The gift cost and the card cost. The postage to mail the package cost. Toni spent $2.75 $17.00 $5.50 $28.00 $30.00 $2.00 $11.75 $2.50 $3.00 $20.00 less than her budget of. $28.00 $5.50 $17.00 $2.00 $30.00 $2.50 $3.00 $11.75 $20.00 $2.75

7 Name Tyrone and his two younger sisters, ages 8 and 10, are going to see a movie. They plan on seeing a movie that starts at quarter to 6. Cinema 1 Cinema 2 Invasion from Mars The Museum Mystery 12:30, 2:15, 4:00 12:45, 2:30, 4:15, 6:00 5:45, 7:30, 9:15 7:45, 9:30 Adults $6.00 Children (under 12) $3.75 Matinee prices (shows before 5:00 P.M.) all tickets $ Which movie do they plan to see? 2. Tyrone is paying for the three tickets. He is 9 years older than his youngest sister. How much will he spend for tickets? 3. Tyrone has a $20 bill. How much change will he receive? 4. They planned on seeing an earlier show but couldn t make it. How much money would Tyrone have saved on the ticket prices if they saw the 4:00 show? 5. After the movie, Tyrone and his sisters plan on meeting their parents, who are watching the movie that started at 6:00. If the movies are the same length, about how long will they have to wait to meet their parents? 6. Tyrone and his sisters plan on spending a total of $2.75 for snacks, and their parents plan on spending a total of $4.25. What will be the total cost of tickets and snacks for the entire family?

8 Name Tyrone and his two younger sisters, ages 8 and 10, are going to see a movie. They plan on seeing a movie that starts at quarter to 6. Cinema 1 Cinema 2 Invasion from Mars The Museum Mystery 12:30, 2:15, 4:00 12:45, 2:30, 4:15, 6:00 5:45, 7:30, 9:15 7:45, 9:30 Adults $6.00 Children (under 12) $3.75 Matinee prices (shows before 5:00 P.M.) all tickets $3.50 Invasion from Mars 1. Which movie do they plan to see? 2. Tyrone is paying for the three tickets. He is 9 years older than his youngest sister. How much will he spend for tickets? 3. Tyrone has a $20 bill. How much change will he receive? 4. They planned on seeing an earlier show but couldn t make it. How much money would Tyrone have saved on the ticket prices if they saw the 4:00 show? $13.50 $6.50 $ After the movie, Tyrone and his sisters plan on meeting their parents, who are watching the movie that started at 6:00. If the movies are the same length, about how long will they have to wait to meet their parents? 6. Tyrone and his sisters plan on spending a total of $2.75 for snacks, and their parents plan on spending a total of $4.25. What will be the total cost of tickets and snacks for the entire family? about 15 minutes $32.50

9 Name 1 unit 1 unit 1 unit Count the total number of each kind of triangle in the figure. 1. How many small triangles (sides which measure 1 unit) are there? 2. How many of these triangles contain a number of circles which is a multiple of 3? 3. How many triangles are there with a side measure of 2 units? 4. How many of these triangles contain a total number of circles which are a multiple of 3? 5. How many triangles with a side measure of 3 units contain a number of circles which is a multiple of 3? 6. How many triangles in all contain a circle total that is a multiple of 3? 7. How many triangles in all contain a circle total that is a multiple of 2?

10 Name 1 unit 1 unit 1 unit Count the total number of each kind of triangle in the figure. 1. How many small triangles (sides which measure 1 unit) are there? 2. How many of these triangles contain a number of circles which is a multiple of 3? 3. How many triangles are there with a side measure of 2 units? 4. How many of these triangles contain a total number of circles which are a multiple of 3? 5. How many triangles with a side measure of 3 units contain a number of circles which is a multiple of 3? How many triangles in all contain a circle total that is a multiple of 3? 7. How many triangles in all contain a circle total that is a multiple of 2? 5 6

11 Name Refer to the map to solve the problem. WA OR NV CA ID AZ UT MT WY CO NM ND SD NE KS OK MN IA MO AR WI IL MI IN TN KY OH WV SC PA VA VT NH NC NY ME CT NJ DE MD DC MA RI TX LA MS AL GA Gulf of Mexico FL Alice, Jake, Teresa, and Alexander live in 4 different states: Maine (ME), Kansas (KS), New Mexico (NM), and Florida (FL). No one lives in a state whose name has the same number of syllables as his or her name. Alice can see the Gulf of Mexico from her house. Teresa s state touches the western border of Texas. Who lives where? 1. Alice lives in. 2. Jake lives in. 3. Teresa lives in. 4. Alexander lives in.

12 Name Refer to the map to solve the problem. WA OR NV CA ID AZ UT MT WY CO NM ND SD NE KS OK MN IA MO AR WI IL MI IN TN KY OH WV SC PA VA VT NH NC NY ME CT NJ DE MD DC MA RI TX LA MS AL GA Gulf of Mexico FL Alice, Jake, Teresa, and Alexander live in 4 different states: Maine (ME), Kansas (KS), New Mexico (NM), and Florida (FL). No one lives in a state whose name has the same number of syllables as his or her name. Alice can see the Gulf of Mexico from her house. Teresa s state touches the western border of Texas. Who lives where? Florida 1. Alice lives in. Kansas 2. Jake lives in. New Mexico 3. Teresa lives in. Maine 4. Alexander lives in.

13 Name Trace and cut out the 25 pieces that make up the grid below. Rearrange the pieces in a 5-by-5 square so that no row, column, or diagonal will have more than one of the same figure. Record your solution using the names of the figures. Compare your solution with those of your classmates. Is there more than one solution? cube

14 Name Trace and cut out the 25 pieces that make up the grid below. Rearrange the pieces in a 5-by-5 square so that no row, column, or diagonal will have more than one of the same figure. Record your solution using the names of the figures. Compare your solution with those of your classmates. Check students Is there more than one solution? yes answers. triangular pyramid cube rectangular pyramid pentagonal prism hexagonal pyramid

15 Name Place the weights in order from least to greatest oz, 2 lb, 3 lb, 44 oz 2. 8 T; 12,500 lb; 7.5 T; 16,200 lb oz, 5 lb, 1 T, 455 oz 4. 3,000 oz; 54 lb; 700 lb; 4.5 lb 5. Describe the steps you took to order the weights. 6. Can you order the following measurements from least to greatest? Explain. 18 in., 2 ft, 3 oz, 5 yd, 16 lb

16 Name Place the weights in order from least to greatest oz, 2 lb, 3 lb, 44 oz 2 lb, 35 oz, 44 oz, 3 lb 2. 8 T; 12,500 lb; 7.5 T; 16,200 lb 12,500 lb; 7.5 T; 8 T; 16,200 lb oz, 5 lb, 1 T, 455 oz 72 oz, 5 lb, 455 oz, 1 T 4. 3,000 oz; 54 lb; 700 lb; 4.5 lb 4.5 lb; 54 lb; 3,000 oz; 700 lb 5. Describe the steps you took to order the weights. Possible answer: Changed all the weights to ounces and then compared. 6. Can you order the following measurements from least to greatest? Explain. 18 in., 2 ft, 3 oz, 5 yd, 16 lb No; some of the measurements are weights and others measure distance.

17 Name An increase of one degree Celsius is the same as an increase of 1.8 degrees Fahrenheit. Each scale has a different value for 0. How can you compare temperatures from the two different scales? You can change Fahrenheit to Celsius and Celsius to Fahrenheit by using the following formulas. To go from Fahrenheit to Celsius: Subtract 32 from your number. Divide the answer by 9. Multiply that answer by 5. Example: 41 F 5 C ( , 9 9 1, 1 5 5) To go from Celsius to Fahrenheit: Divide your number by 5. Multiply the answer by 9. Add 32 to that answer. Example: 5 C 41 F (5 5 1, 1 9 9, ) Use the correct formula to make each conversion. Show your work F C C F C F F C 5. 0 C is the same as 32 F. Find the Fahrenheit temperature that is the same as 1 C without using the formula. Explain your method.

18 Name An increase of one degree Celsius is the same as an increase of 1.8 degrees Fahrenheit. Each scale has a different value for 0. How can you compare temperatures from the two different scales? You can change Fahrenheit to Celsius and Celsius to Fahrenheit by using the following formulas. To go from Fahrenheit to Celsius: Subtract 32 from your number. Divide the answer by 9. Multiply that answer by 5. Example: 41 F 5 C ( , 9 9 1, 1 5 5) To go from Celsius to Fahrenheit: Divide your number by 5. Multiply the answer by 9. Add 32 to that answer. Example: 5 C 41 F (5 5 1, 1 9 9, ) Use the correct formula to make each conversion. Show your work F C C F C F F C 5. 0 C is the same as 32 F. Find the Fahrenheit temperature that is the same as 1 C without using the formula. Explain your method. Possible answer: An increase of 1 C is the same as an increase of 1.8 F; C = 33.8 F

19 Name Matthew s teacher gave the class the following challenge: List all the possible dimensions a water tank with a volume of 120 ft 3 might have. You can only use whole numbers and you can only list a combination of dimensions once. For example, if you list 1 ft 8 ft 15 ft you cannot also list 1 ft 15 ft 8 ft, 8 ft 1 ft 15 ft, etc. 1. Matthew s team found 16 unique dimension combinations. Can you find that many? List them below. 2. List 3 more possible dimensions using measurements in inches. The measurements should not be equivalent to the measurements you have already listed. For example, if you list 1 ft 8 ft 15 ft you cannot also list 12 in. 96 in. 180 in.

20 Name Matthew s teacher gave the class the following challenge: List all the possible dimensions a water tank with a volume of 120 ft 3 might have. You can only use whole numbers and you can only list a combination of dimensions once. For example, if you list 1 ft 8 ft 15 ft you cannot also list 1 ft 15 ft 8 ft, 8 ft 1 ft 15 ft, etc. 1. Matthew s team found 16 unique dimension combinations. Can you find that many? List them below. The following dimensions are in units of ft List 3 more possible dimensions using measurements in inches. The measurements should not be equivalent to the measurements you have already listed. For example, if you list 1 ft 8 ft 15 ft you cannot also list 12 in. 96 in. 180 in. The following dimensions are in units of in. Possible answers: ,368; ;

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