Fifth Grade Spiraling Review Week 1 of Second Six Weeks

Transcription

1 Week 1 of Second Six Weeks Advanced Preparation: See attachment: Spiraling Review Cards Note: Record all work in your math journal. Day 1 The world s largest glacier, located in the Swiss Alps, has more ice than any other glacier. It is 2 miles wide, more than 1,000 feet thick and 17 miles long. a) If the glacier were rectangular in shape, what would be its perimeter? Write a number sentence to show how you solved the problem. b) If the glacier were rectangular in shape, what would be its area? Write a number sentence to show how you solved the problem. Day 2 Ronney, Matt, Brandon, and Gary are training for the Olympics. They are excellent sprinters and just finished a trial run. Sprinters Time in Seconds a) Who had the fastest time? Explain. Ronney 56.5 b) Who had the slowest time? Explain. Matt c) What is the difference between the fastest Brandon time and the slowest time? Write a Gary number sentence to show your work. d) Write the times of the four sprinters in order from fastest to slowest. Tony and Karen are having friends over for hotdogs. Tony bought 11 bags of hotdog buns with 8 buns in each. Karen bought 15 packages of hot dogs with 6 in each package. a) How many buns and hot dogs do they have for the cookout? Write number sentence(s) to show how you solved the problem. b) If 42 friends are invited, will there be enough hotdogs for everyone (including Tony and Karen) to have two? Explain. c) Will there be any hot dogs and buns leftover? How do you know? 2011, TESCCC 09/20/11 page 1 of 12

2 Week 1 of Second Six Weeks (cont.) Day 4 See Optional Attachment Each table group of four will need a set of Spiraling Review Cards or two decks of Number Cards. Explain that the group members will be working with a partner. a) Shuffle the deck and place it face down. Partners will take turns selecting twelve cards from the deck and writing the numbers in their journal. b) Partners are to arrange their cards to create an 11-digit number with the greatest possible value and write their created number in their journals. They are to also circle the digit not used out of the selected twelve cards. c) Write comparison sentence comparing the created number with that of another partner group. Use the symbols >, <, =. Ex: Greatest value: 98,766,544, , TESCCC 09/20/11 page 2 of 12

3 Week 2 of Second Six Weeks Note: Record all work in your math journal. Day 1 The Crossman Theater has six rows in the center that seat seven people per row. There are side rows on both sides of the center that has four rows that seat four people per row. The famous play To Catch a Spider was presented on Monday. a) How many seats are in the Crossman Theater? Write a number sentence showing the operations used to find the answer. b) If the theater made $962 and every seat in the theater was taken, what was the price for a ticket? Show your work. Day 2 The information below was reported by the U.S. Census Bureau, and reflects the population of the United States as well as the world population for the years 2008 and Draw the table in your journal. United States World United States World August 2008 August 2008 August 2011 August ,815,436 6,715,447, ,978,651 6,955,236,231 a) How did the population of the U.S. change in three years? Write a number sentence to show the difference. b) By what amount did the world population change? Write a number sentence to show the difference. c) Write the difference of the world population in words. Look once again at the table used yesterday. a) Using the information provided, estimate the population for the United States for the year Explain your estimation. b) Knowing that the population of the United States is included in the World population, find the actual world population for the years 2008 and Write a number sentence for each year. c) Use the world population for 2008 and 2011 to estimate the population for the year Explain your estimation. 2011, TESCCC 09/20/11 page 3 of 12

4 Week 2 of Second Six Weeks (cont.) Day 4 a) Order the numbers listed below from least to greatest. 1,165,789,201 1,164,999,910 1,165,779,210 1,165,978,310 b) Explain how you determine the order. c) Find the difference between the least and greatest values. 2011, TESCCC 09/20/11 page 4 of 12

5 Week 3 of Second Six Weeks Note: Record all work in your math journal. Day 1 Sarah, Carrie, Kay, and Nancy are on the track relay team. Each girl s time in seconds is recorded. Their total score was the lowest time in the competition, and their team won the gold medal. a) Compare the girls times. Write the times in order from longest time to shortest time. b) What is the girls combined times? Write a number sentence to show how you solved the problem. Names Times Sarah Carrie 48.7 Kay Nancy Day 2 Each table group of four will need a deck of Spiraling Review Cards or Number Cards. Shuffle the deck and place it face down on the table. a) Each student pair will take turns drawing cards from the deck until each student pair has sixteen cards. Write the card numbers in their journal. b) Using the cards, each pair will select twelve cards and arrange them to create the greatest possible number. Each pair will compare their number with the other pair s number and write a comparison sentence. c) Using the same sixteen original cards, each student pair will select twelve cards to create the least possible number. Each pair will compare their number with the other pair s number and write a comparison sentence. Laquinta has been saving money for a shopping trip. She has 23 one dollar bills, 2 five dollar bills, 3 ten dollar bills, 14 half-dollars, 35 quarters, 74 dimes, 89 nickels and 214 pennies. The table shows the items which include tax that she wanted to buy. Shoes $ Purse $47.24 Necklace $43.48 Jeans $41.95 Dress $48.16 a) How much money has Laquinta saved? Write the solution sentence. b) Laquinta decided to spend as much of her saved money as possible. If she only purchased two items with her money, what did she purchase? How do you know? c) How much of her savings will Laquinta have left? 2011, TESCCC 09/20/11 page 5 of 12

6 Week 3 of Second Six Weeks (cont.) Day 4 Miles is in charge of packaging the bottled water produced by the Are You Thirsty distributing company. a) If the company produces seven hundred twenty-five bottles of water each day, how many boxes are filled each day if each box holds sixteen bottles? Write a solution sentence to prove your answer. b) If the remaining bottles are put on a shelf each day, how many days will it take to fill a box? Explain your answer. 2011, TESCCC 09/20/11 page 6 of 12

7 Week 4 of Second Six Weeks Note: Record all work in your math journal. Day 1 Mr. Knezek has decided to give each of his 27 kindergarten students a sack of fruit to take home for Thanksgiving. The table below shows what he bought. Type Number Number of Fruit of Fruit of Bags (in each bag) Bananas Apples Peaches 15 8 a) If he wants to give each student the same number of each type of fruit, how many of each will he put into each sack? Show your work. b) Will he have any fruit left? How do you know? Day 2 Your group will need a deck of Spiraling Review Cards or Number Cards. Shuffle and place the cards face down. Each student will draw 5 cards and create a division problem. The problem must have a 2-digit divisor and 3-digit dividend. Neither zero nor 1 can be used as the divisor. Your challenge is to arrange the cards to produce the smallest possible quotient. a) What is the quotient? Write a solution sentence to show how the problem was solved. b) Describe the strategy used to produce the smallest possible quotient. Look at the table below. A B a) What pattern do you see in row A? Explain. b) What pattern do you see in row B? Explain. c) What is the relationship between columns A and B? d) Copy and complete the table. 2011, TESCCC 09/20/11 page 7 of 12

8 Week 4 of Second Six Weeks (cont.) Day 4 Use the 8 cards below to create two 4-digit numbers a) If the challenge is to create the smallest 4-digit difference with your two numbers, how would you arrange the cards? Write a number sentence to show how you solved the problem. b) Explain how you know your answer is correct. 2011, TESCCC 09/20/11 page 8 of 12

9 Week 5 of Second Six Weeks Note: Record all work in your math journal. Day 1 Mrs. Ramsey decided to plant flowers in her garden. She bought 6 trays of petunias with 8 flowers in each tray, 5 trays of roses with 10 flowers in each tray and 7 trays of tulips with 6 flowers in each tray. a) How many flowers did she buy? Write a number sentence. b) How much did she spend on the flowers? c) Show your work. Flowers Price per Tray Petunias $ 2.36 Roses $ 3.97 Tulips $ 3.82 Day 2 Solve the following riddle. If you add 7 hundredths and subtract 9 tenths from the magic number, you would have a) What is the magic number? b) Explain how you solved the problem. The table shows the number of people who attended concerts at the Rock-Out Concert Hall in ,780,010 a) The attendance in 2009 was 839,979 less than How many people attended concerts in 2009? b) The attendance is expected to double in 2011 compared to the people who attended the concerts in How many people are expected in 2011? Day 4 Mrs. Robinson decided to tile her living room with twelve inch tiles. The room is 14 feet long and 8 feet wide. a) What is the perimeter of the living room? Explain your calculations. b) If the tiles are packaged 10 tiles per box, how many boxes will Mrs. Robinson need to purchase to tile her living room? Explain your answer. 2011, TESCCC 09/20/11 page 9 of 12

10 Second Six Weeks Answer Keys (pp. 1 of 2) Advanced Preparation: (Optional) Handout: Spiraling Review Cards - (These cards may be used in place of dice and playing cards for activities.) Copy on different colors of cardstock (2 sheets of the same color per table group), cut cards apart, and place sets in plastic bags. (1 bag per table group) Week 1 Answer Key: Answers may vary. Day 1 a) = 38 miles or = 38 miles or 19 x 2 = 38, etc. b) 2 x 17 = 34 square miles Day 2 a) Matt had the fastest time, because the less time it takes, the faster you are, etc. b) Ronney had the slowest time, because his time was the greatest time, etc. c) = seconds d) , 55.93, , 56.5 a) 11 x 8 = 88 buns; 15 x 6 = 90 hot dogs b) Yes, because for everyone to get two, 88 of each were needed; etc. c) They will have 2 hotdogs left and no buns =2 Day 4 a) Answers depend on cards. Week 2 Answer Key: Answers may vary. Day 1 a) 6 x 7 = 42 seats in the center, 4 x 4 = 16 seats for each side row, = 74 seats in the theater b) $ = $13 for each ticket Day 2 a) 311,978, ,815,436 = 7,163,215 more people are in the U.S. in 2011 compared to 2008 b) 6,955,236,231 6,715,447,770 = 239,788,461 more people in the world c) Two hundred thirty-nine million, seven hundred eighty-eight thousand, four hundred sixty-four a) The population for 2014 will be about 319,000,000, because I rounded the population for 2011 to 312,000,000 and the population of 2008 to 305,000,000, with a difference about 7,000,000 for three years. So I add 7,000,000 to 312,000,000 to get 319,000,000; etc. b) 6,715,447, ,815,436 = 6,410,632,334 world population ,955,236, ,978,651 = 6,643,257,580 world population 2011 c) The world population will be about 6,800,000,000, because the population increased about 200,000,000 in three years; etc. Day 4 a) 1,164,999,910; 1,165,779, 210; 1,165,789,201; 1,165,978, 310 b) I first compared the millions place, then the ten thousand place, and then the hundred thousands place. c) 978, , TESCCC 09/20/11 page 10 of 12

11 Second Six Weeks Answer Keys (pp. 2 of 2) Week 3 Answer Key: Answers may vary. Day 1 a) ; 48.7 ; ; b) = seconds Day 2 Day 4 Depends on the cards a) $23 + $10 + $30 + $7 + $ $ $ $2.14 = $92.74 saved b) Laquinta bought the shoes and the purse for $ c) 27 or $.27 a) 45 boxes; = 45 r 5 water bottles left over b) 4 days; it will take four days because 4 x 5 = 20 bottles, and three days would only be 15 bottles; etc. Week 4 Answer Key: Answers may vary. Day 1 a) 14 x 14 = 196 bananas; 16 x 12 = 192 apples; 15 x 8 =120 peaches; = 7 bananas each with 7 leftover; = 7 apples each with 3 leftover; = 4 peaches each with 12 leftover b) 7 bananas, 3 apples, 12 peaches leftover, I know because they are the remainders. Day 2 a) Depends on the cards drawn. a) The numbers are increasing by 12; they are all even numbers; etc. b) The numbers are increasing by 24; they are all odd numbers; etc. c) Row A x equals Row B; Double Row A and add 3 to get Row B; etc. d) A B Day 4 a) 4,416 3,409 = 1,007 b) Answers may vary but could include finding the smallest difference between the individual digits and then use place value to determine the numbers to use, etc. Week 5 Answer Key: Answers may vary. Day 1 a) 6 x 8 = 48; 5 x 10 = 50; 7 x 6 = 42; = 140 flowers b) 6 x $2.36 = $14.16 petunias; 5 x $3.97 = $19.85 roses; 7 x $3.82 = $26.74 tulips; she spent $60.75 on flowers. Day 2 a) b) Subtract when it says add and add when it says subtract, etc. a) 940,031 people in 2009 b) 1,880,062 people in 2011 Day 4 a) = 44 feet or = 44 feet; 2l + 2w = P b) 14 x 8 = 112 square feet is the area; She will have to buy twelve boxes, because eleven boxes would only give her 110 tiles; If she buys twelve boxes, she will have 120 tiles; etc. 2011, TESCCC 09/20/11 page 11 of 12

12 Spiraling Review Digit Cards , TESCCC 09/20/11 page 12 of 12