Fourth Grade Spiraling Review Week 1 of Fifth Six Weeks

Note: Record all work in your math journal. Day 1 www.guin nessworl drecords. com Fourth Grade Spiraling Review Week 1 of Fifth Six Weeks According to Guinness World Records, the world's largest cardboard box was designed and manufactured by Smurfit Kappa Van Dam Golfkarton B.V. of Helmond, Netherlands on March 29, 2007. The box measured about 4 m in width, the length was about two and onehalf times the width, and the height was about one-half times the width. Use unit cubes to create a model of the box where 1 cubic unit = 1 cubic meter, and answer the questions below based on your model. a) What is the perimeter of the bottom of the box? Write a number sentence. b) What is the area of the bottom of the box? Write a number sentence. c) What is the volume of the box? Write a number sentence. Day 2 A baby quilt is made up of 32 squares and is 4 feet long. If the quilting club wants to make 15 quilts, which expression could be used to determine how many squares will be needed to make the baby quilts? Explain why each of the expressions is or is not a correct representation of the problem situation including how each number in the expression relates to the problem situation. a) 32 x 4 b) 15 + 32 + 4 c) 32 4 d) 15 x 32 Each group will need a deck of number cards. a) Each student is to draw 9 cards and arrange them to create the greatest possible 9- digit number. b) Group members are to compare the created numbers, and write them in order from least to greatest. c) Using the same nine cards, each student will arrange them to create the least possible 9-digit number. d) Group members are to compare the created numbers, and write them in order from greatest to least. Carol, Christy and Cynthia all collected marbles. Cynthia had 74 marbles in her collection. Carol had three times as many marbles as Cynthia. Christy had half as many marbles as Carol. a) Name the strategy or steps you used to solve the problems? Explain. b) Each girl had how many marbles? Show your work. c) The three girls had how many total marbles? Write a number sentence to show how you solved the problem. 2011, TESCCC 12/12/11 page 1 of 8

Week 2 of Fifth Six Weeks Note: Record all work in your math journal Day 1 The local clothing store received a shipment of 184 sweaters on Monday. The sales clerk arranged the sweaters equally on eight shelves. a) About how many sweaters are on each shelf? Write a number sentence to show your estimation. b) Write a number sentence to show the exact number of sweaters on each shelf. c) No sweaters sold on Monday or Tuesday. If another shipment arrived on Tuesday and the salesclerk arranged the six more shelves with the same number of sweaters on each shelve like Monday s display, how many sweaters were in the second shipment? d) No sweaters had sold on Monday or Tuesday so on Wednesday, the store had a buy one sweater at regular price and get another sweater free sale. They sold 97 sweaters at the regular price. How many sweaters did the store have left? Day 2 Fred wants to replace the 10 shelves on his bookshelf. Each shelf will be 18 inches in length. He can buy boards either 8 feet long or 10 feet long. a) If he buys all 8 feet boards, how many boards will Fred need to buy? Explain how you solved the problem. b) If he buys all 10 feet long boards, how many boards will Fred need to buy? Explain. c) Which length of board and how many of each should Fred buy? Explain. Use the Grade 4 STAAR Reference Materials for the problem below: A recipe calls for a cup of milk to make a cake. a) How many cups would be needed to make 4 cakes? b) If you wanted to buy enough milk to make 4 cakes, what size container would you buy? Explain. c) How many cakes could be made from a gallon of milk? Day 4 Use colored counters to help solve the problems. Jean bought 25 packages of beads and made14 necklaces for party favors. Five of the necklaces were red, two were green, and the rest were yellow. a) How many necklaces are yellow? Explain. b) What fractional part of the total number of necklaces is yellow? c) What fractional part of the total number of necklaces are red and green? d) What other fraction can be used to describe the yellow necklaces? e) If Jean used 16 beads on each necklace and each package contained 9 beads, did she have any beads left after making the necklaces? Explain. 2011, TESCCC 12/12/11 page 2 of 8

Week 3 of Fifth Six Weeks Note: Record all work in your math journal. Day 1 Lottie had a 12:35 appointment with the dentist. She left school early enough to make the appointment on time. Allow students to use clocks to solve each question. 9 10 8 11 7 12 6 1 5 a) If she left school 45 minutes prior to her appointment, what time did she leave? Explain. b) If Lottie s appointment lasted 25 minutes, and then she drove 45 minutes to get back to school, what time did she arrive back at school? Explain. Day 2 Salvador drew a large rectangle on the driveway with chalk. He measured his rectangle and found the length of one side of his rectangle was 7 feet. a) If the area of his rectangle was 63 square feet, what is the perimeter of Salvador s drawing? Explain. Tom made chocolate chip cookies. Each pan holds 16 cookies. Tom baked 13 pans of cookies for the school bake sale and sold them all. a) How many cookies did Tom bake for the bake sale? b) If Tom put four cookies in a bag and sold each bag for one dollar, how many people bought a bag of cookies? How much money did Tom make? Explain. 2 4 3 Day 4 Look at the table showing the population of several cities according the U.S. Census taken in 2000. Which of the following cities had a population less than Houston and greater than San Diego? Explain why each is or is not the correct answer. Cities Population Houston 1,953,631 San Diego 1,223,400 Cities Population a) Chicago 2,896,016 b) Dallas 1,188,580 c) Phoenix 1,321,045 d) San Antonio 1,144,646 e) Write the names and populations including Houston and San Diego in order from greatest to least. 2011, TESCCC 12/12/11 page 3 of 8

Week 4 of Fifth Six Weeks Note: Record all work in your math journal. Day 1 Mr. Amos had $989 to spend on school technology items. a) If he purchased the computer and monitor, what other item(s) could he still buy? Explain. b) How much money will Mr. Amos have left? c) Mr. Amos decided that the computer was too expensive to buy. If he decided to buy at least one of each of the remaining items on the chart and more than one if possible, what could he buy with his money? Item Cost Computer $693 DVD player $49 PDA $296 TV $274 Monitor $174 Day 2 Use counters or base-ten blocks to help solve the problem. The school has 126 chairs that are to be set up in the auditorium. The school wants the chairs arranged in rows with an equal number of chairs in each row. a) Name the different ways that the chairs can be arranged in rows. Mrs. Roark wants to buy a car seat for her son. She found a car seat that can only be used with children under 41 inches in height. The price of the seat is $74. Which of the following information does Mrs. Roark need before she buys the seat? Explain why each question below is or is not correct. Day 4 a) The weight of Mrs. Roark s son. b) The width of the car seat. c) The height of Mrs. Roark s son. d) The height of Mrs. Roark. Use base-ten blocks or counters to help solve the problems. Miles has half as much money as Tamara, and twice the amount of money as John. a) How much money does Miles have if John has 1 ten dollar bill, 3 five dollar bills, 3 one dollar bills, and one quarter? Explain. b) Tamara has how much money? Write a solution sentence and explain. c) If Matt has $200, will Miles, Tamara, and John altogether have more or less money than Matt? Explain who has more money and how much more. 2011, TESCCC 12/12/11 page 4 of 8

Week 5 of Fifth Six Weeks Note: Record all work in your math journal. Day 1 Celia sold 14 of her gerbils to the local pet store. How much money did she make? What information is missing that could be used to solve the problem? Explain why each choice is or is not correct. a) The number of gerbils Celia still has at home. b) The number of gerbils the pet store has in stock. c) The amount of money the pet store pays for a gerbil. d) The size of each gerbil. Day 2 Maria swims 12 laps in the pool every day of the week to get ready for the competition. a) How many laps does Maria swim in 7 days? Show how you solved the problem. b) How many laps will Maria swim in 3 weeks? Show how you solved the problem. c) If her goal is to swim a total of 492 laps, how many weeks will it take to meet her goal? How do you know? Look closely at the number line. 617 593 587 582 578 a) What do you notice about the pattern? b) What is the pattern? How do you know? c) Draw and complete the number line. Day 4 Harriet has 8 months to save enough money to buy a car. The car costs $5,000 dollars. She has $1,284 in her account. Which of the following will help Harriet find out how much she still needs to save? Explain why each answer is or is not correct by identifying the meaning of each number. a) Add $5,000 and $1284 b) Subtract $1,284 from $5,000 c) Divide $5,000 by 8 d) Multiply $1,284 times 8 2011, TESCCC 12/12/11 page 5 of 8

Fifth Six Weeks Answer Keys (pp. 1 of 3) Week 1 Answer Key: Processes may vary. Day 1 a) Width: 4 m; Length 4 + 4 + 2 = 10 m; Perimeter of the bottom of box: 10 + 10 + 4 + 4 = 28 meters or 20 + 8 = 28 meters b) Area of the bottom of box: 10 x 4 = 40 square meters c) Height: 4 2 = 2 m; Volume of box: 10 x 4 = 40, 40 x 2 = 80 cubic meters or 10 x 4 x 2 = 80 cubic meters Day 2 a) 32 x 4 = 128 squares, not correct because it is multiplying the number of squares times the length of one quilt b) 15 + 32 + 4 = 51 squares, not correct because it is adding squares plus quilts plus length c) 32 4 = 8 squares, not correct because it dividing the squares on one quilt by the length d) 15 x 32 = 480 squares, correct because it is multiplying the number of squares of one quilt times the number of quilts needed Day 4 Depends on the cards drawn. a) I started with Cynthia because I knew she had 74. Then I had to find Carol s amount because she had 3 times more marbles than Cynthia, so I multiplied 74 by 3. After finding Carol s number of marbles, I could find Christy s amount by dividing it by 2. b) Cynthia 74 marbles, Carol 74 x 3 = 222 marbles, Christy 222 2 = 111 marbles c) 74 + 222 + 111 = 407 marbles Week 2 Answer Key: Processes may vary. Day 1 a) Approximately 180 10 = 18 sweaters, or 200 10 = 20 sweaters; etc. b) 184 8 = 23 sweaters on each shelf c) 23 x 6 = 138 sweaters in the second shipment d) 184 + 138 = 322 total sweaters, 97 x 2 = 194 sold or free, 322 194 = 128 sweaters left Day 2 a) Two eight foot boards will replace the 10 shelves; one 8 ft board = 96 in. (8 x 12 = 96 in.); 96 18 = 5 shelves with 6 inches left per board. I changed the 8 feet to inches and then divided by 18 to see how many shelves could be cut from one board, then I knew 5 + 5 = 10 shelves; etc. b) Two ten foot boards will replace the 10 shelves; one 10 ft board = 120 in. (10 x 12 = 120 in.), 120 18 = 6 shelves with 12 inches left over per board. I changed the 10 feet to inches and then divided by 18 to see how many shelves could be cut from one board, then I knew 6 + 6 = 12 shelves which would be enough to replace the 10 shelves; etc. c) Fred should be 2 eight foot boards, because he will get 10 shelves and not much left over wood and they probably cost less; etc. a) 1 x 4 = 4 cups b) 4 cups = 1 quart c) 4 quarts = 1 gallon; 4 x 4 = 16 cups which will make 16 cakes Day 4 a) 7 necklaces are yellow 5 red + 2 green = 7 necklaces and the rest were yellow; 14 7 = 7 b) 14 7 are yellow 2011, TESCCC 12/12/11 page 6 of 8

Fifth Six Weeks Answer Keys (pp. 2 of 3) Week 2 Answer Key (continued): Processes may vary. c) 14 7 are red and green d) 14 7 is equivalent to 2 1 Yes, 25 x 9 = 225 total beads in the packages, 16 x 14= 224 beads for the necklaces, so there will be 1 bead left over; etc. Week 3 Answer Key: Processes may vary. Day 1 a) 11:50 a.m. If you subtract 35 minutes away from 12:35, the time is 12:00. If you move backwards on the clock 10 more minutes to total 45 minutes, the time is 11:50 a.m.; I moved backwards on the clock by fives for a total of 45 minutes and landed on 11:50 a.m.; etc. b) 1:45, 25 minutes would be 1:00 and then 45 more minutes would be 1:45 Day 2 a) 63 7 = 9 ft. width, 9 + 9 + 7 + 7 = 32 feet in the perimeter; I knew the length was 7 feet and 7 x 9 = 63 so I added 7 + 7 + 9 + 9 = 32 feet. a) 16 x 13 = 208 cookies b) 208 4 = 52 people; $1 per bag so Tom made $52 Day 4 a) Chicago, not correct because the population was more than Houston s population b) Dallas, not correct because the population was less than San Diego s population c) Phoenix, correct because it was less than Houston s population but larger than San Diego s population d) San Antonio, not correct because it was less than San Diego s population e) Cities Population Chicago 2,896,016 Houston 1,953,631 Phoenix 1,321,045 San Diego 1,223,400 Dallas 1,188,580 San Antonio 1,144,646 Week 4 Answer Key: Processes may vary. Day 1 a) Two DVD players; $693 + $174 = $867 for the computer and monitor and $989 $867 = $122. The cost of two DVD players is $49 x 2 = $98. b) $867 + $98 = $965, $989 $965 = $24 left; $122 $98 = $24 left; etc. c) He could buy a DVD player, PDA, TV, and 2 Monitors for $967 and have $22 left; or he could buy a PDA, TV, Monitor, and 5 DVD players for $989 with no money left over. Day 2 a) 2 rows of 63 chairs, 3 rows of 42 chairs, 6 rows of 21 chairs, 9 rows of 14 chairs, 63 rows of 2 chairs; 42 rows of 3 chairs, 21 rows of 6 chairs, and 14 rows of 9 chairs. 2011, TESCCC 12/12/11 page 7 of 8

Fifth Six Weeks Answer Keys (pp. 3 of 3) Week 4 Answer Key (continued): Processes may vary. a) No, because the story only mentions height not a certain weight. b) No, because knowing the width is not needed to determine the car seat. c) Yes, because the seat can only be used with children 41 or less inches. d) No, the car seat is for her son. Day 4 a) Miles: $56.50 because he had twice as much money as John; $28.25 + $28. 25 = $56.50 b) Tamara: $113 because Miles had half as much money as Tamara; $56.50 + $56.50 = $113 c) $28.25 + $56.50 + $113 = $197.75 altogether and Matt has $200 so Matt has $2.25 more money. Week 5 Answer Key: Processes may vary. Day 1 a) Not correct, I do not know how many gerbils Celia has in all. b) Not correct, the store could have gerbils before Celia sold her gerbils. c) Correct, if we know the cost of one gerbil, we can multiply the amount by 14. d) Not correct, the size of the gerbil is not considered in the cost. Day 2 a) 12 x 7 = 84 laps in 7 days b) 84 x 3 = 252 laps in 3 weeks c) Six weeks, because if I add the laps for 3 weeks two times the answer is 504 laps (252 + 252 = 504); if I multiply 84 x 5 = 420 laps which is not enough, so if I add 84 more for 1 more week, I get 504 laps which would enough; etc. a) The numbers are decreasing or getting smaller each time; etc. b) The pattern is -11, -10, -9, -8, -7, -6, -5, -4, -3, -2 so the difference is one less each time, I know because 593-587 = 6, 587 582 = 5, 587 582 = 4; etc. c) Day 4 638 627 617 608 600 593 587 582 578 575 573-11 -10-9 -8-7 -6-5 -4-3 -2 a) Not correct, because it adds the price of the car with the money in her account, etc. b) Correct, because it subtracts the money she has from the price of the car; the answer will give the amount needed to save, etc. c) Not correct, because it is dividing the price of the car by the months and she has $1,284; etc. d) Not correct, because multiplying the amount she has already saved by eight tell her if she saved that amount of 8 months not how much more money she needs to purchase the car, etc. 2011, TESCCC 12/12/11 page 8 of 8