Rolling Terrace E.S. SUMMER MATH JOURNAL for students completing Grade 4 and entering Grade 5 Revised: 5/2018 First name: Last name: Grade 5 Homeroom AM Teacher:
June 2018 Dear Parents, Thank you for your support in our Summer Math and Reading Program. All work should be returned to your child s homeroom teacher by Friday, September 7, 2018. If you turn in one packet you get, one reward If you turn in both the reading and math packets, you participate in the celebration. Have a great summer and thanks again for your support! Sincerely, Michelle Esema, Josie Robles, Angela Manners Junio de 2018 Estimados padres, Gracias por su apoyo en nuestro programa de lectura y matemáticas de verano. Todos los trabajos deben devolverse al maestro de su hijo/a el viernes, 7 de septiembre de 2018. Si su hijo/a entrega un paquete recibirá un premio. Si entrega ambos paquetes (paquete de lectura y el paquete de matemáticas) el estudiante participará en una celebración. Que tengan un verano maravilloso y gracias por su apoyo! Atentamente, Michelle Esema, Josie Robles, Angela Manners
Dear Parents or Guardians, Over the summer, all Rolling Terrace ES students in pre K 5 will have access to their Dreambox Learning accounts. Dreambox is the online math learning program that provides math lessons matched to common core math standards. Students have been using Dreambox in their Math classes all year. Steps to access Dreambox from the Rolling Terrace website are provided on the next page. If you are in need of your child s password information, please contact your child s math teacher prior to the last day of school. We are encouraging you to have your child use Dreambox during the summer to keep practicing their math skills. Long Branch Library and Silver Spring Library have access to the RTES Dreambox site if you do not have internet access at home. If you have enrolled your child in summer school; ELO Sail or ELO Step, they will be using Dreambox daily at Rolling Terrace. You may still choose to have your child access Dreambox at home or the library and keep record on the weekend. If you have any questions, please contact Josie Robles (Josepha_Robles@mcpsmd.org), Angela Manners (Angela_M_Manners@mcpsmd.org or your child s math teacher at 240-740-1950. Sincerely, Angela Manners and Josie Robles Math Content Coaches Estimados Padres o Tutores, Durante el verano, todos los estudiantes de Rolling Terrace en Pre K - 5 tendrán acceso a sus Dreambox Learning. Dreambox es el programa de aprendizaje de matemáticas que es compatible con lecciones de matemáticas que corresponden con los estándares de matemáticas comunes. Los estudiantes han estado usando Dreambox en sus clases de matemáticas durante el año. Los pasos para acceder a Dreambox desde el sitio web de Rolling Terrace está en la página siguiente. Si necesita la información de la contraseña de su hijo/a, comuníquese con el maestro de matemáticas de su hijo/a antes del último día de clases, 16 de Junio 2018. Le estamos animando a que su hijo/a use Dreambox durante el verano para seguir practicando sus matemáticas. Long Branch Library y Silver Spring Library tienen acceso al sitio RTES Dreambox si usted no tiene acceso a Internet en su casa. Si tiene alguna pregunta, comuníquese con Angela Manners (Angela_M_Manners@mcpsmd.org) ó Josie Robles (Josepha_Robles@mcpsmd.org) o con el maestro de matemáticas de su hijo/a el 240-740- 1950. Sinceramente, Angela Manners and Josie Robles Math Content Coaches
a Using GOOGLE to log into Dreambox Usando Dream box Google para llegar 1. Go to GOOGLE. Haz click en GOOGLE Type in Rolling Terrace. Use las teclas y entre Rolling Terrace en la red. 2. Click on Rolling Terrace Haz click en Rolling Terrace 3. Click on Websites Haz click en WEBSITES 4. Click on #5 Dreambox Haz click en #5 Dreambox. 5. Look for your child s teacher Encuentre la maestro/o de su hijo/a. 6. Look for your child s name. Busqe el nombre de su hijo/a 7. Your child should know his/her password picture or number. Su hijo/hija deber saber su foto o número pare entrar.
STUDY MULTIPLICATION TIMES TABLE CHART STUDY 1 Times Table 2 Times Table 3 Times Table 4 Times Table 1 x 1 = 1 1 x 2 = 2 1 x 3 = 3 1 x 4 = 4 1 x 5 = 5 1 x 6 = 6 1 x 7 = 7 1 x 8 = 8 1 x 9 = 9 1 x 10 = 10 2 x 1 = 2 2 x 2 = 4 2 x 3 = 6 2 x 4 = 8 2 x 5 = 10 2 x 6 = 12 2 x 7 = 14 2 x 8 = 16 2 x 9 = 18 2 x 10 = 20 3 x 1 = 3 3 x 2 = 6 3 x 3 = 9 3 x 4 = 12 3 x 5 = 15 3 x 6 = 18 3 x 7 = 21 3 x 8 = 24 3 x 9 = 27 3 x 10 = 30 4 x 1 = 4 4 x 2 = 8 4 x 3 = 12 4 x 4 = 16 4 x 5 = 20 4 x 6 = 24 4 x 7 = 28 4 x 8 = 32 4 x 9 = 36 4 x 10 = 40 1 x 11 = 11 2 x 11 = 22 3 x 11 = 33 4 x 11 = 44 1 x 12 = 12 2 x 12 = 24 3 x 12 = 36 4 x 12 = 48 5 Times Table 6 Times Table 7 Times Table 8 Times Table 5 x 1 = 5 5 x 2 = 10 5 x 3 = 15 5 x 4 = 20 5 x 5 = 25 5 x 6 = 30 5 x 7 = 35 5 x 8 = 40 5 x 9 = 45 5 x 10 = 50 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6 x 7 = 42 6 x 8 = 48 6 x 9 = 54 6 x 10 = 60 7 x 1 = 7 7 x 2 = 14 7 x 3 = 21 7 x 4 = 28 7 x 5 = 35 7 x 6 = 42 7 x 7 = 49 7 x 8 = 56 7 x 9 = 63 7 x 10 = 70 8 x 1 = 8 8 x 2 = 16 8 x 3 = 24 8 x 4 = 32 8 x 5 = 40 8 x 6 = 48 8 x 7 = 56 8 x 8 = 64 8 x 9 = 72 8 x 10 = 80 5 x 11 = 55 6 x 11 = 66 7 x 11 = 77 8 x 11 = 88 5 x 12 = 60 6 x 12 = 72 7 x 12 = 84 8 x 12 = 96 9 Times Table 10 Times Table 11 Times Table 12 Times Table 9 x 1 = 9 9 x 2 = 18 9 x 3 = 27 9 x 4 = 36 9 x 5 = 45 9 x 6 = 54 9 x 7 = 63 9 x 8 = 72 9 x 9 = 81 9 x 10 = 90 10 x 1 = 10 10 x 2 = 20 10 x 3 = 30 10 x 4 = 40 10 x 5 = 50 10 x 6 = 60 10 x 7 = 70 10 x 8 = 80 10 x 9 = 90 10 x 10 = 100 11 x 1 = 11 11 x 2 = 22 11 x 3 = 33 11 x 4 = 44 11 x 5 = 55 11 x 6 = 66 11 x 7 = 77 11 x 8 = 88 11 x 9 = 99 11 x 10 = 110 12 x 1 = 12 12 x 2 = 24 12 x 3 = 36 12 x 4 = 48 12 x 5 = 60 12 x 6 = 72 12 x 7 = 84 12 x 8 = 96 12 x 9 = 108 12 x 10 = 120 9 x 11 = 99 10 x 11 = 110 11 x 11 = 121 12 x 11 = 132 9 x 12 = 108 10 x 12 = 120 11 x 12 = 132 12 x 12 = 144 1
STUDY Division Facts STUDY 1 Division Facts 2 Division Facts 3 Division Facts 4 Division Facts 1 1 = 1 2 1 = 2 3 1 = 3 4 1 = 4 5 1 = 5 6 1 = 6 7 1 = 7 8 1 = 8 9 1 = 9 10 1 = 10 11 1 = 11 12 1 = 12 2 2 = 1 4 2 = 2 6 2 = 3 8 2 = 4 10 2 = 5 12 2 = 6 14 2 = 7 16 2 = 8 18 2 = 9 20 2 = 10 22 2 = 11 24 2 = 12 3 3 = 1 6 3 = 2 9 3 = 3 12 3 = 4 15 3 = 5 18 3 = 6 21 3 = 7 24 3 = 8 27 3 = 9 30 3 = 10 33 3 = 11 36 3 = 12 4 4 = 1 8 4 = 2 12 4 = 3 16 4 = 4 20 4 = 5 24 4 = 6 28 4 = 7 32 4 = 8 36 4 = 9 40 4 = 10 44 4 = 11 48 4 = 12 5 Division Facts 6 Division Facts 7 Division Facts 8 Division Facts 5 5 = 1 10 5 = 2 15 5 = 3 20 5 = 4 25 5 = 5 30 5 = 6 35 5 = 7 40 5 = 8 45 5 = 9 50 5 = 10 55 5 = 11 60 5 = 12 6 6 = 1 12 6 = 2 18 6 = 3 24 6 = 4 30 6 = 5 36 6 = 6 42 6 = 7 48 6 = 8 54 6 = 9 60 6 = 10 66 6 = 11 72 6 = 12 7 7 = 1 14 7 = 2 21 7 = 3 28 7 = 4 35 7 = 5 42 7 = 6 49 7 = 7 56 7 = 8 63 7 = 9 70 7 = 10 77 7 = 11 84 7 = 12 8 8 = 1 16 8 = 2 24 8 = 3 32 8 = 4 40 8 = 5 48 8 = 6 56 8 = 7 64 8 = 8 72 8 = 9 80 8 = 10 88 8 = 11 96 8 = 12 9 Division Facts 10 Division Facts 11 Division Facts 12 Division Facts 9 9 = 1 18 9 = 2 27 9 = 3 36 9 = 4 45 9 = 5 54 9 = 6 63 9 = 7 72 9 = 8 81 9 = 9 90 9 = 10 99 9 = 11 108 9 = 12 10 10 = 1 20 10 = 2 30 10 = 3 40 10 = 4 50 10 = 5 60 10 = 6 70 10 = 7 80 10 = 8 90 10 = 9 100 10 = 10 110 10 = 11 120 10 = 12 11 11 = 1 22 11 = 2 33 11 = 3 44 11 = 4 55 11 = 5 66 11 = 6 77 11 = 7 88 11 = 8 99 11 = 9 110 11 = 10 121 11 = 11 132 11 = 12 12 12 = 1 24 12 = 2 36 12 = 3 48 12 = 4 60 12 = 5 72 12 = 6 84 12 = 7 96 12 = 8 108 12 = 9 120 12 = 10 132 12 = 11 144 12 = 12 2
PLACE VALUE GREATER THAN, LESS THAN, EQUAL TO > < = Use the above symbols. 40,567 54,567 100 tens 100 50 hundreds 4,000 15,507 15,566 4 thousands + fifty 40,500 5,067 1,366 1,000 + 400 + 3 2,403 2,567 2,000 + 500 + 60 + 7 6,007 sixty seven 9, 001 9,005 508,567 598,589 15,111 15,011 203,987 20,398 READ THE NUMBERS TO SOMEONE. 3
WRITING DECIMAL NUMBERS in Standard Form Read the decimal name. Write the decimal number in standard form. Use the place value chart to help you. Hundreds Tens Ones Tenths Hundredths Thousandths 100 10 1 0.1 0.01 0.001 and one and four tenths seven and fifty-three hundredths six tenths six hundredths fifty-four hundredths eight and three tenths thirty one thousandths three hundredths one and five tenths one and seven tenths seven and six tenths four and six hundredths thirteen and thirteen hundredths six thousandths eighty and eight tenths seven and seven hundredths fifty-five hundredths eleven hundredths ten hundredths six tenths seventy-nine hundredths eighteen thousandths 4
FACTORS AND MULTIPLES List the factors for the following numbers. CIRCLE the numbers that are PRIME NUMBERS. 12: 16: 11: 18: 23: List the first five multiples of the numbers. 4: 8: Elena bought a box of pencils and erasers. The pencils come in packages of 3. The erasers come in packages of 5. Elena was matching one pencil to one eraser. She did not want to have any leftover pencils or erasers. *How many boxes of pencils and erasers does Elena need to buy so that she has the same amount of pencils and erasers? *How many pencils and erasers will Elena have? 5
MULTIPLICATION PATTERNS 80 x 1 = 80x 10 = 80 x 100 = 80 x 1,000 = 90 x 1 = 90 x 10 = 90 x 100 = 90 x 1,000 = 100 x 1 = 100 x 10 = 100 x 100 = 100 x 1,000 = 50 x 1 = 50 x 10 = 50 x 100 = 50 x 1,000 = 30 x 1 = 30 x 10 = 30 x 100 = 30 x 1,000 = 120 x 1 = 120 x 10 = 120 x 100 = 120 x 1,000 = PROBLEM SOLVING Ben has 5 marbles. Kate has 7 more marbles than Ben. Tina has 9 more marbles than Kate. Who has the greatest amount of marbles? How many marbles do they have in all? 6
PROBLEM SOLVING Mrs. Richardson has twice as many yellow blocks than pink blocks. She has 54 yellow blocks in her box. How many pink blocks does Mrs. Richardson have? Show how you solved the problem. Use pictures, words, and/or numbers to show your work. Write an equation for your problem. Sra. Castellon has 8 bags on the desks. There are an equal amount of pencils in each bag. Altogether she has 96 pencils. How many pencils are in each bag? Show how you solved the problem. Use pictures, words, and/or numbers to show your work. Write an equation for your problem. 7
Mrs. Olson-Beck has three times as many books as Mrs. Robles. Mrs. Robles has 38 books. *How many books does Mrs. Olson-Beck have? Show how you solved the problem. Use pictures, words, and/or numbers to show your work. Write an equation for your problem. Dennis was going to get a new rug for his room. *What is the area of the rug for his room? Dennis will also put a trim around the room. *How many feet of trim will Dennis need for his room? The wood trim costs 50 cents per feet. *How much money will the wood trim cost? Show how you solved the problem. Use pictures, words, and/or numbers to show your work. 6 ft 3 ft 6 ft 3 ft 1
TIME Draw the hand on the clock to show the time. 2:06 5:32 2:49 8:15 5:40 11:17 6:06 7:27 1:28 2:59 3:15 4:37 Practice telling time using a clock. 2
ELAPSED TIME Solve the problems. Use a time line or clock to help you solve the problem. Emily was baking a cake. She put the cake into the oven at 4:20. It will take 47 minutes for the bake to be done. What time will the cake be done? Walter needed to be at his friend s party at 5:00. Walter needs to take a shower and get dressed. It takes him 30 minutes to get ready. It takes 15 minutes to walk to his friend s house. What time does Walter need to begin getting ready so he gets to the party on time? Vanessa began to exercise at 4:25. She walked for 45 minutes. She swam for 35 minutes. What time did Vanessa stopped exercising? 3
WORKING WITH UNITS OF MEASUREMENT 9 feet = yards. 36 inches = feet. gallons = 8 quarts hours = 1 day 60 minutes = hour 1 yard = inches 16 ounces = pound 16 fluid ounces = pint 4 feet = inches I meter = centimeters PROBLEM SOLVING Johanna measures how long the rug in her room is. It is 4 feet long. How many inches long is her rug? Show how you solved the problem. Use pictures, words, and/or numbers to show your work. Mrs. Richardson drank 2 pints of milk. Ms. Lewis drank 1 quart of milk. Who drank more milk? Explain how you know. Show how you solved the problem. Use pictures, words, and/or numbers to show your work. 4
Claudia s pencil measured 13 centimeters. How many millimeters long is the pencil? Show how you solved the problem. Use pictures, words, and/or numbers to show your work. Ms. Legum s cat weighs 2 pounds. How many ounces does Ms. Legum s cat weigh? Show how you solved the problem. Use pictures, words, and/or numbers to show your work. 5
PATTERNS AND RULES Look at the number patterns. Continue the pattern. Write the rule. Be sure to tell what the rule operation is. 345, 445, 545, 645,,,,. The rule is: Start at 345 add 100 1, 2, 4, 8, 16,,,,. The rule is:. 446, 436, 426, 416,,,,. The rule is:. 100, 125, 150, 175, 200, 325,,,. The rule is: 8, 16, 24, 32,,,,. The rule is: 6
PATTERNS AND RULES Look at the number patterns. Continue the pattern. Write the rule. Be sure to tell what the rule operation is. 531, 521, 511, 501,,,,. The rule is:. 67, 60, 53, 46, 39,,,,. The rule is:. 1,250, 1,225, 1,200, 1,175,,,,. The rule is:. Challenge: 100, 101, 201, 202, 302, 303,,,. The rule is: 1, 1, 2, 3, 5, 8,,,,. The rule is: 7
ADDITION AND SUBTRACTION 27,345 + = 456,783 430,305 - = 56,783 = 7,345 + 456,783 800,234 + = 3,456,007 726,345 - = 56,109 1,234 + 5,516,124 = + 8,342,003-98,134 = 2,132,097 + 900,045 = 8
MULTIPLIPLICATION USING PLACE VALUE 267 x 4 is the same as: 200 x 4 + 60 x 4 + 7 x 4 800 + 120 + 28 = 132 x 3 is the same as: 100 x 3 + 30 x 3 + 2 x 3 + + = 431 x 7 is the same as: 400 x 7 + 30 x 7 + 1 x 7 + + = 259 x 4 is the same as: 200 x 4 + 50 x 4 + 9 x 4 + + = 531 x 5 is the same as: 500 x 5 + 30 x 5 + 1 x 5 + + = 9
Multiplication Using an Array 1. Use the Base Ten Grid paper to draw an array to represent 32 x 29 = 10
MULTIPLICATION Using Arrays Use the array model to find the product. 25 x 13 = Write the partial product equation for each section of the array. 20 5 10 x = x = 3 x = x = Use the array model to find the product. 32 x 28 = Write the partial product equation for each section of the array. 30 2 20 x = x = 8 x = x = 11
MULTIPLICATION AND DIVISION 4 5 6 X 4 1, 3 5 6 X 5 6 )5 6 8 3 ) 6, 7 3 5 12
43 x 7 2 31 x 26 5 )5 6 0 9 ) 2, 3 2 2 13
9 6 X 3 4 33 x 46 6 )5, 6 0 8 3 ) 3, 5 8 8 14
7, 0 7 2 X 3 4 1, 3 5 6 X 3 5 8 )1 9 6 0 12 ) 7, 9 4 3 15
PROBLEM SOLVING WITH + - X 23 children are going to ride the roller coaster. Each seat holds 3 people. How many seats will be needed so that all of the children can ride? Show how you solved the problem. Use pictures, words, and/or numbers to show your work. There were 15 dogs and 24 birds at the petting zoo. How many legs were there altogether? Show how you solved the problem. Use pictures, words, and/or numbers to show your work. Mrs. Araghi baked 3 trays of 36 cookies. After they cooled she divided the cookies evenly into 4 bags. How many cookies did Mrs. Araghi put in each bag? Show how you solved the problem. Use pictures, words, and/or numbers to show your work. 16
Mrs. Tredway ordered 200 books for the Media Center. She ordered 16 more for the reading cart. She put the books in piles with 18 books in each pile. How many piles did she make? Show how you solved the problem. Use pictures, words, and/or numbers to show your work. Mrs. Swann made 48 cupcakes. She put 8 cupcakes into each box and sold each box for $4.00. How much money did Mrs. Swann make? Show how you solved the problem. Use pictures, words, and/or numbers to show your work. Marcus has 235 marbles. Michelle has 78 fewer marbles than Marcus. How many marbles does Michelle have? Show how you solved the problem. Use pictures, words, and/or numbers to show your work. 17
Show a fraction that is equivalent to FRACTIONS If this is one whole, color to show one fourth. This is one fourth, draw one whole. If this is one whole, partition and color to show one third. 18
Partition this number line into fourths. Show 0 1 2 Partition this number line into thirds. Show 0 1 Circle the fraction that is less. \Draw a picture to show why your answer is correct. 2 \Draw a picture to show why your answer is correct. Which fraction is greater? Which fraction is the least? 19
PROBLEM SOLVING Tom and Ben ordered a pizza for lunch. They each ate 1/3 of the pizza. How much pizza was eaten? How much pizza was left? Show how you solved the problem. Use pictures, words, and/or numbers to show your work. A restaurant uses 1/3 cup of mayonnaise in each batch of salad dressing. How many cups of mayonnaise will be used in 7 batches? Show how you solved the problem. Use pictures, words, and/or numbers to show your work. 20
LINE PLOTS Look at the data below about the heights of some fourth graders. Determine how you will number the Line Plot. Heights of Fourth Graders Ana - 55 inches Olivia - 55 inches Jason 53 inches Jose - 57 inches Emily 54 inches Allison- 55 inches Jason 49 inches Oscar - 55 inches Frank - 56 inches Debbie - 53 inches Yuliana - 56 inches Tameka - 50 inches Nancy - 54 inches John - 54 inches Finish numbering the scale. Create a line plot to organize the data. Heights of Fourth Graders Heights in Inches Write 2 statements about the data. * * 21
PROBLEM SOLVING WITH MONEY The Fourth Grade class was selling food at the School fair. MENU FOOD ITEMS DRINKS DESSERTS Hot Dog $3.60 Soda $1.50 Cake $1.75 French Fries $2.20 Chocolate Milk $1.50 Ice Cream $1.50 Hamburger $3.80 Water $1.00 Cookie $0.75 Deluxe Cheese burger $4.50 Pizza Slice $3.25 Ivan was going to buy one food item, one drink and one dessert. What could Ivan buy? Ivan paid with a ten dollar bill. What will Ivan get back in change? If you only have $5.00 to spend, what food item, drink and dessert can you buy? What will the change be? 22
Look at the fractions and mixed numbers in the box below. 1 9 4 1 5 1 3 7 5 8 5 1a. Which of these fractions or mixed numbers is both greater than 3 1 5? 1 2 and less than Answer = 1b. Use what you know about comparing fractions to explain how you determined your answer. 2. A group of friends are drinking milk at lunch. Diego drinks 3 4 of a glass. Jen drinks 1 1 4 glasses. Shaun drinks 7 4 glasses. Meg drinks 1 whole glass. Put the friends in order from least to greatest by the amount of milk they drink. Show your work.,,, 23
Spot and Fluffy are cats. Spot is 13 12 feet tall. Fluffy is 2 1 12 feet tall. a. Which cat is taller? (Circle one) Spot Fluffy b. Use what you know about fractions to explain how you found your answer. Use words, pictures, and/or numbers in your answer. 3. Four children bike to an ice cream store. They decide to race there. Look at their times below. 24 6 min. 22 6 min. 4 4 6 min. 2 4 6 min. List the times in order from greatest to least: 24
PROBLEM SOLVING WITH DECIMALS 1. Mr. Weiner walked 3.45 km on Saturday and 1.78 km more on Sunday. What was the total distance that he walked on both days? 2. Mrs. Richardson bought 4.03 pounds of potatoes. She used 1.8 pounds of potatoes for dinner. How many pounds of potatoes did Mrs. Richardson have left? 3. Use the information from the table to answer the questions. Liters of water Red bucket 1.3 Green bucket 0.67 Blue Bucket 0.9 How many liters more liters of water does the red bucket have than the blue bucket? What was the total amount of liters in the buckets? 25
DECIMAL PUZZLES 9.3 6. +2. -. 3.6 1. 3 1.3 + 0.56 = 3.46 0.08 = 82.04 + 2.05 = 4.05 1.93 = 26
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Cut out the cards. Practice the facts. 2 x 2 2 x 3 2 x 4 2 x 5 2 x 6 2 x 7 2 x 8 2 x 9 2 x 10 2 x 11 2 x 12 3 x 2 3 x 3 3 x 4 3 x 5 3 x 6 28
29
3 x 7 3 x 8 3 x 9 3 x 10 3 x 11 3 x 12 4 x 2 4 x 3 4 x 4 4 x 5 4 x 6 4 x 7 4 x 8 4 x 9 4 x 10 4 x 11 30
31
4 x 12 5 x 2 5 x 3 5 x 4 5 x 5 5 x 6 5 x 7 5 x 8 5 x 9 5 x 10 5 x 11 5 x 12 6 x 2 6 x 3 6 x 4 6 x 5 32
33
6 x 6 6 x 7 6 x 8 6 x 9 6 x 10 6 x 11 6 x 12 7 x 2 7 x 3 7 x 4 7 x 5 7 x 6 7 x 7 7 x 8 7 x 9 7 x 10 34
35
7 x 11 7 x 12 8 x 2 8 x 3 8 x 4 8 x 5 8 x 6 8 x 7 8 x 8 8 x 9 8 x 10 8 x 11 8 x 12 9 x 2 9 x 3 9 x 4 36
37
9 x 5 9 x 6 9 x 7 9 x 8 9 x 9 9 x 10 9 x 11 9 x 12 10 x 2 10 x 3 10 x 4 10 x 5 10 x 6 10 x 7 10 x 8 10 x 9 38
39
10 x 10 10 x 11 10 x 12 11 x 2 11 x 3 11 x 4 11 x 5 11 x 6 11 x 7 11 x 8 11 x 9 11 x 10 11 x 11 11 x 12 12 x 2 12 x 3 40
41
12 x 4 12 x 5 12 x 6 12 x 7 12 x 8 12 x 9 12 x 10 12 x 11 12 x 12 42
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