Georgia Online Formative Assessment Resource (GOFAR) 4th Grade Unit 2 Name:____________________________ Date: ____________________________ Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (1 of 14 ) Georgia Online Formative Assessment Resource (GOFAR) 1. The diagram shows counters on place-value cards. Part A What number is represented by the counters? Divide this number by 3. Show your work or explain your answer in words. Part B Round the number represented by the counters to the nearest ten. Explain your answer. Part C Make a model of a different number using place-value cards like the ones shown. Put an equal number of counters on the thousands card and the tens card. Write the number that your model represents. How many times greater is the value of the digit in the thousands place than the value of the digit in the tens place? Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. 2. Sophie has candy hearts to give to classmates. She makes the array shown to help group the candy. Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (2 of 14 ) Georgia Online Formative Assessment Resource (GOFAR) Part A How many groups of 7 candy hearts can be made with the hearts in the array? Show your work. Part B Write a division equation showing how many groups of 7 candy hearts Sophie can make. Part C Sophie eats 6 candy hearts. How many groups of 7 candy hearts are left in the array now? What does the remainder mean for this situation? Show your work and explain your answer. Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. 3. This table shows the number of students in some of the grades at an elementary school. Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (3 of 14 ) Georgia Online Formative Assessment Resource (GOFAR) Part A What is the total number of students in grades K through 3? Show your work. Part B The elementary school has 697 students in all. What is the total number of students in grades 4 and 5 together? Show your work. Part C Grade 4 has 30 more students than grade 5. How many students are in grade 4, and how many students are in grade 5? Part D A table in the cafeteria can have up to 9 students. How many tables are needed for each grade? Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. 4. A sheet of scented stickers has 18 stickers. There are 36 sheets of scented stickers in one package. Part A How many scented stickers are in one package? Show your work. Part B A store has 20 packages of the scented stickers. What is the total number of scented stickers the store has? Show your work. Part C The store also sells star-shaped stickers. The total number of star-shaped stickers in one package can be calculated using the expression Based on this expression, how many star-shaped stickers Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (4 of 14 ) Georgia Online Formative Assessment Resource (GOFAR) are on one sheet and how many sheets are in one package? Label your answers. Part D The store always keeps between 1 and 20 whole packages of stickers of each type of sticker. Is it possible for the store to have the same total number of scented and star-shaped stickers? Explain your answer and show your work. Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. 5. A fruit stand has four kinds of fruit sorted into bags. ● The bag of oranges is 6 times the weight of the bag of lemons. ● The bag of lemons weighs 4 times as many pounds as the bag of limes. ● The weight of the bag of lemons is 8 pounds. Part A Write two number sentences to show how many pounds the bag of oranges weighs and how many pounds the bag of limes weighs. Explain how you know what operation to use for each number sentence. Part B A bag of apples weighs 40 pounds. How many pounds more or less than the bag of oranges in Part A do the apples weigh? Use an equation to show how you got your answer. Part C The lemons and limes are combined in one bag. What is the difference between the weight of the bag of apples and the weight of the bag of lemons and limes? Use equations to explain how you got your answer. Part D The fruit stand sold all of the fruit except for 9 pounds of oranges. What was the total number of pounds of fruit sold? Use equations to explain how you got your answer. Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (5 of 14 ) Georgia Online Formative Assessment Resource (GOFAR) 6. Henry used blocks to show the number of baseball cards he had. He decided to separate the cards into equal piles of 3 cards each. How many piles would Henry have? A)100 B)121 C)123 D)131 7. The table shows the weights of several zebras. Part A Yolanda rounded each weight to the nearest hundred and said the combined weight was about 2,000 pounds. Does Yolanda’s statement make sense? Use what you know about rounding to explain your answer. Part B The zebras were moving to a different zoo and needed to be transported on a trailer in 2 trips. Which zebras would be on the trailer each trip if 2 of the zebras were taken at one time, and the total weight was no more than 1,025 pounds on each trip? Show your work. Part C The rectangle shows the 135-square-foot watering hole for the zebras. Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (6 of 14 ) Georgia Online Formative Assessment Resource (GOFAR) What is the value of w? Show your work. Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. 8. A restaurant owner has $1,000 to spend on vegetables at a farmers’ market. Part A How many baskets of cucumbers could the owner buy if she only buys cucumbers? Explain how you got your answer using an equation. Part B If the owner buys 25 baskets of tomatoes, how much money will she have left? Show your work. Part C Baskets of carrots are also for sale at the farmers’ market for $6 each. How much more would 45 baskets of peppers cost than 45 baskets of carrots? Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (7 of 14 ) Georgia Online Formative Assessment Resource (GOFAR) 9. A family made 48 cookies for a bake sale. They are deciding how many cookies to put in each bag so that all the bags have an equal number of cookies. Part A The family lists the factor pairs of 48 to determine all the possible ways to divide the cookies into bags. List all the factor pairs of 48. Explain your answer. Part B The family decides to eat 4 cookies before they put the remaining cookies in the bags. Will they be able to put all the remaining cookies in 8 bags and still have an equal number in each bag? Explain why or why not using what you know about factor pairs and multiples. Part C If 11 cookies of the 48 cookies are eaten or given away, how many cookies will be left to sell? Will the number of cookies left be a prime or composite number? Explain your answer. Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. 10. The table shows the distance that each of three trains traveled in a given number of days. The trains all traveled the same number of hours each day. Part A Copy the table, round each distance to the nearest thousand kilometers, and fill in the spaces with your rounded distances. Part B Use your rounded distances from Part A to estimate the number of kilometers each train traveled per day. Show your work. Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (8 of 14 ) Georgia Online Formative Assessment Resource (GOFAR) Part C If the three trains traveled an equal number of days, which train would go the longest distance? Explain your answer. Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. 11. A season of baseball lasts 6 months. The table shows the number of baseballs 3 different teams used during one season. Part A About how many baseballs did each team use in 1 month if the team used an equal number each month? Explain how you got your answer. Part B Team B played another 2 weeks during the playoffs. Use your answer in Part A to estimate the number of balls they used during the playoffs. Show your work. Part C Team B played 8 games in the 2 weeks of playoffs. About how many balls did they use in each game? Show your work. Part D Each of the baseballs used in the playoffs cost $13. Use your answer in Part C to determine the total amount spent on baseballs during one playoff game. Show your work. Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (9 of 14 ) Georgia Online Formative Assessment Resource (GOFAR) 12. The table shows the numbers of people who rode four different rides at an amusement park one day. Part A Which ride had the most people who rode it that day? Use what you know about place value to explain how you got your answer. Part B How many people rode the Log Ride to the nearest 10? Explain your answer. Part C The Log Ride holds up to 4 people at a time. If it had a full load every time it was run that day, what was the total number of times the Log Ride ran? Show your work. Part D The Sky Lift can hold up to 6 people at a time. Nina says the Sky Lift had to run more times than the Log Ride that day. Do you agree or disagree with Nina? Show your work and explain why you agree or disagree. Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. 13. The numbers of tickets sold at different prices for a baseball game are listed in the table. Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (10 of 14 ) Georgia Online Formative Assessment Resource (GOFAR) Part A How much money was received for selling tickets that cost less than $8? Show your work. Part B Compare the value of the digit 4 in 5,417 to the value of the digit 4 in 1,034. How many times greater is one value than the other value? Explain your answer. Part C Andrew made this table to show the prices of several tickets at different prices. Create a copy of the table below and fill in the missing dollar amounts. Andrew spent $62 on tickets. He bought at least 1 of each ticket price. How many of each ticket price could he have bought? Show your work or explain your answer. Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. 14. A rectangle has an area of 48 square centimeters. The length and width of the rectangle are both whole numbers. Part A What are all possible length-width pairs? Show or explain your work. Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (11 of 14 ) Georgia Online Formative Assessment Resource (GOFAR) Part B Which of the lengths or widths you found are prime numbers? Explain your answer. Part C For the length-width pairs you found in Part A, list all possible perimeters for the rectangle. Show your work. Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. 15. The first 5 terms of a number pattern are shown. Part A The rule for the pattern includes adding a number then subtracting a different number. What is the rule for the pattern? Show your work or explain your answer. Part B The pattern continues. What are the next 2 terms of the pattern? Show your work. Part C Will any term in this pattern ever be less than zero? Explain your answer. Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (12 of 14 ) Georgia Online Formative Assessment Resource (GOFAR) 16. Trina is making frozen lemonade treats to sell at the soccer game. She filled regular lemonade. of an ice cube tray with Part A How many more parts of the tray does Trina need to fill to have one full tray? Show how you got your answer by using an equation. Draw a model to justify your answer. Part B After filling one tray with regular lemonade, Trina filled an additional trays with strawberry lemonade and trays with raspberry lemonade. What was the total number of trays she filled with all three kinds of lemonade? Show your work. Part C Trina is selling each part of an ice cube tray for $1. She thinks she can sell enough of the lemonade treats to make a total of at least $40. Is Trina correct? Explain your answer. Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (13 of 14 ) Georgia Online Formative Assessment Resource (GOFAR) Answer Key : 1. 2. 3. 4. 5. 6. B)121 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (14 of 14 )
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