Title: Grand Prix Place Value Brief Overview: “Grand Prix Place Value” is a concept development unit seeking to develop skills in place value through the thousands place. Students will be able to identify the value of digits according to their placement in a number, represent the numbers in word form, standard form, and expanded form. Students will also create numbers using base ten blocks. It is based around the theme of the 2011 Baltimore Grand Prix, the first race hosted by Baltimore. NCTM Content Standard: Understand the place-value structure of the base-ten number system and be able to represent and compare whole numbers. Grade/Level: Grade 3 Duration/Length: Three 60-minute lessons Student Outcomes: Students will: Identify the value of a digit through the thousands place Create equivalent representations through the thousands place Represent numbers in expanded form through the thousands place Materials and Resources: Day 1 Chart paper with a 4-column chart Index cards Tape Construction paper Two checkered flags Markers Large Number Die White Boards Pre-Assessment, Grand Prix Place Value Extension activity, Race to the Cup Place Value Conversions Formal assessment, Ticket to the Grand Prix Day 2 Index cards with numbers written in word or standard form 4-Column chart for teacher on transparency or document camera Classroom set of Base 10 Blocks Chart paper Relay Race Materials 4- Digit Place Value Chart Grand Prix Fans and Hotel Guests Franchitti BCR Day 3 Three sentence strips for vocabulary terms Prepare three column chart Expanded Form Signs Mixed Up Number Game Racing Fan Club Directions Racing Fan Club Game Mat Farewell Grand Prix Summative Assessment, Race to the Finish Line Development/Procedures: Day 1 Pre-assessment Distribute pre-assessment titled, Grand Prix Place Value. Allow students ten minutes to complete. An answer key is provided. Engagement In this unit, we will include the theme of the Baltimore Grand Prix. Display two checkered flags to resemble the flags used in the Grand Prix race. Explain that they will be playing a place value racing game. Place students in groups of four. Give each group the same four numbers ranging from 0-9 on a piece of 8 ½ x 11 paper. Say a 4-digit number. Have each group display the number by organizing themselves into the correct place value. The group that correctly displays the number first gets a point. Repeat until one group earns 5 points and wins the race. Exploration Begin by discussing place value. Ask, “What is place value?” “Why is it important?” “How does place value change the value of a number?” Have each student work with a partner. Display the following numbers on index cards: 1,245 and 893. Ask, “Which number has the greater value- the 1 or the 8?” Discuss the responses by explaining that even though the digit 8 is greater, the placement of the 8 in the hundreds place is less than the 1 in the thousands place. (800 < 1,000) Ask, “How many tens are in the number 1,245?” Ask students to explain their answer. Ask, “Since there are 4 tens, what is the value of the 4?” Tell your class, “I have an answer on my lesson plan, but I cannot read my question. By looking at the number 893, the answer is 9. What could the question be?” (Answer: How many tens are in 893?) Explanation Display a 4-column chart labeled with each place value (thousands, hundreds, tens, ones). Explain that the first column from the right is the ones place. If there is a 9 in this place, the value of the 9 is equal to 9 ones, which equals 9. Ask, “If there is a 7 in this place, what would the value of the 7 be?” Explain that the second column from the right is the tens column. If there is an 8 in the tens place, the value of the 8 is equal to 8 tens, which equals 80. Ask, “In the number 162, what is the value of the 6?” Explain that the third column from the right is the hundreds place. If there is a 2 in this place, the value is equal to 2 hundreds, which equals 200. Ask, “In the number 6,403, what is the value of the 4?” Explain that after every 3 numbers, there is always a comma. Tell students that the first three numbers is referred to as the ones period and the three number before the comma is the thousands period. Explain that the fourth column from the right is the thousands place. If there is a 5 in this place, the value of the 5 is equal to 5 thousands, which equals 5,000. Ask, “In the number 7, 411, what is the value of the 7?” Say the number 678 and select volunteers to place index cards with the numbers 6, 7, and 8 under the correct column according to place value. Ask students to explain the value of each number. Continue with the numbers 8,091 23 178 3,445. Ask, “How many hundreds are in 23? Thousands?” Explain that if there are only two places, that there are only tens and ones. There are no hundreds or thousands. Extension Arrange students in pairs. Distribute Race to the Cup. Explain to students that the goal is to make the largest possible number in order to earn a tally. Each student rolls the die and determines the placement of that number in the ones, tens, hundreds or thousands place. The largest number wins and earns a tally in their column. Highest number of games won is the winner of the pair of students. Differentiation Reteach Place students in need of reteaching in flex groups while other students continue the extension activity. Use white board to represent place value and roll large group dice. Tell the students where to place the rolled number (Ex: Place the 6 in the thousands place.) Monitor student understanding and allow students displaying understanding to return to the Extension game. Review meaning of place value by using index cards with place names on them. Begin with ones place and continue through thousands place. For final review mix the cards up and put them in incorrect places and ask students if the order is correct. Ask students to move them to the correct place and name the place. Spend ten minutes on reteaching. Enrich Use www.ixl.com/math/grade-3 (go to place value section). Monitor the completion of computer activities that involve place value. Distribute and have students complete, Place Value Conversions. An answer key is included. Evaluation Distribute a copy of Ticket to the Grand Prix to each student. Explain to students that in order to participate in the class race tomorrow they will have to finish this sheet and earn their ticket to the class race the next morning. An answer key is included. Day 2 Engagement Use numbers from, Relay Race Materials document and hang them on walls around the room. Place students in groups of four. Give each group a color team name (Ex. Green team, Red team, Purple team, Blue team, Yellow team) and give them the corresponding word form and base ten block picture cards. Explain that the goal of the game is for each team to correctly place their cards under the correct number in the fastest time. The team that correctly places all ten of their cards fastest wins. Exploration Congratulate the winning team of the Relay Race. Explain that the purpose of the game was to represent a number using base ten blocks, standard form, and word form. Explain that we are going to continue representing numbers by working with base ten blocks. Distribute 4-Digit Place Value Chart and Base ten blocks to every student. Prepare a 4-Digit Place Value Chart as a model on a document reader or overhead projector with transparency. Explain that you will show a number on an index card and students must represent the number using base ten blocks. (The index cards should be prepared with numbers in standard form and word form.) Show an index card with the number 372. Have students display the number using base ten blocks. Walk around the classroom to assist and observe students. Ask, “Would anyone like to show what they did on the document reader (or transparency)?” Discuss the volunteer’s representation. Ask, “Why did you put three hundreds in the hundreds column?” “Why didn’t you put anything in the thousands column?” Ask, “Did anyone show the same number in a different way? Is it possible to show 372 in a different way?” Have a volunteer try to show 372 in a different way. (By breaking down a hundred or a ten, etc.) Ask, “Are there any questions?” Explanation Explain that there are many ways to show a number, so there are many correct answers. Show an index card with a number in word form. Discuss the proper format for writing numbers in word form. For example, 1,268 is written with a comma after the words one thousand. Also, 268 has a hyphen in sixty-eight. Ask volunteers to write the following numbers in word form: 4,155 and 9,023 Tell students to represent 9,023 using base ten blocks. Have a volunteer show how he/she represented the number. Ask another volunteer to show the same number a different way. Continue with different numbers until most students seem to understand the concept. Take note of the students that are having difficulty. You can group them during the next activity in order to give them more instruction. Extension Divide the class into groups of 3 or 4. Give each group a piece of chart paper and 5 numbers from 0 - 9,999. Explain that students will represent given numbers in three ways: word form and 2 different ways with base ten blocks. Differentiation Reteach Use base ten blocks to represent a number with 2 digits on 4-column chart. (Ex: 68) Have students explain what the blocks mean. (Ex: 6 tens = 60, 8 ones = 8) Ask a student to give the group another two digit number to represent on the 4-column chart. Repeat if necessary with, three and four digit numbers and work on placing the base ten blocks in the correct location explain that 4 hundred blocks=400. Use a Ziploc bag with base ten blocks and mix them up. Have the students pull out the blocks and place them on their 4-column chart. Ask each student to tell you the number displayed by the base ten blocks on their 4-column chart. Enrich Use www.ixl.com/math/grade-3 (go to place value section). Monitor the completion of computer activities that involve place value. Distribute, Grand Prix Fans and Hotel Guests to work on higher level skills with students. An answer key is provided. Evaluation Distribute, Franchitti BCR for students to complete. Review responses for understanding of concepts. An answer key is provided. Day 3 Engagement Print Expanded Form Signs. Punch holes and connect a piece of yarn to make a sign for each student. Explain that you will say a number and the class must determine a way to use their classmates to make the number. For instance, if the number is 5,421, the students will need to organize five students with thousands signs, followed by four students with hundreds signs, two students with tens signs and one student with a ones sign. As the students organize themselves write on the board the expanded form of their number (5000 + 400 + 20 + 1= 5,421). Repeat four more times. Exploration Display a number written in expanded form. (Ex: 2,000 + 800 + 20 + 5) Tell your students to write this number in standard form. Ask, “How did you find the number?” (Students will probably add.) Ask, “Do you notice anything about the numbers?” (The numbers are in order according to place value.) Display another number written in expanded form. (Ex.: 4,000 + 200 + 30 + 6) Ask, “What is this number in standard form?” When a volunteer responds, ask, “How did you get your answer?” If the volunteer explained that he/she added, ask, “Is there another way to find the answer?” Display a number missing a number in the tens place. (Ex: 3,000 + 500 + 1) Ask, “What number does this expression show?” Ask, “Is there anything different about this expression when you compare it to the other two?” (It is missing a number in the tens place.) Explanation Explain that today we will be working on writing and reading numbers in expanded form. Draw a 3-column chart on the front board. Title the first column “Standard Form”, the second “Expanded Form,” and the third “Word Form.” Explain that standard form is a number that is written in digit form. Point to examples around the room. Display a sentence strip with “Standard Form” on your vocabulary wall. Explain that word form is the number written in words. Point to examples around the room. Display a sentence strip with “Word Form” on your vocabulary wall. Explain that expanded form is a way to write a number that shows the sum of values of each digit of a number. Ask, “What is a sum?” Ask, “From this definition, how do you think we can find the expanded form of a number in standard form?” (Allow students to explain how to find expanded form.) Write a number in standard form on the 3-column chart. (Ex: 717) Ask, “How should we write 717 in expanded form?” (700 + 10 +7) Explain, “Since the first 7 is in the hundreds place, its value is 700. The 1 is in the tens place and its value is 10. The second 7 is in the ones place and its value is 7. When you add them together, the number is 717.” Ask, “Who can write 717 in word form?” Allow a volunteer to write and explain his/her response. Continue with other number. Vary the numbers so that some have thousands, some have zeros in the hundreds, tens, and ones places. Explain that if we have a number with a zero in the hundreds, tens, and/or ones places, that we can either write the zero in expanded form or leave it out. (Ex: 2,000 + 900 + 0 + 3 = 2,903 or 2,000 + 900 + 3 = 2,903) Extension Pair students in groups of two. Distribute, Mixed Up Number Game to each student. Have students work together to represent the numbers in standard and expanded form. Pairs will then order numbers from least to greatest. Instruct students to write the number in word form. Differentiation Reteach Use base ten blocks in one container with displayed standard form number (Ex. Number says 1,523 and container has base ten blocks to display the number, 1,523). Have each student name the value of the base ten blocks then work on pulling them out largest to smallest. Place blocks on white board and use a dry erase marker to write in addition symbol. Example: Place the one thousand base ten block follow by a “+’ sign. Then place five hundreds blocks followed by a “+” sign and then two tens blocks followed by a “+” sign and finally three ones blocks followed by = sign. Discuss how each number can be broken into expanded form by pulling out the thousands, hundreds, tens and ones values and adding them together. Repeat practice with base ten blocks. Enrich Allow students to play place value games on http://www.toonuniversity.com/flash.asp?err=496&engine=5 Monitor the completion of computer activities that involve place value. Group students in fours. Give each pair a deck of cards with the Jokers,Tens, Aces, Jacks, and Kings removed. Queens are zeros. Distribute Racing Fan Club Directions and Racing Fan Club Game Mat. Evaluation Distribute, Farewell Grand Prix to each student. Review responses for understanding of concepts. An answer key is included. Summative Assessment: This Race to the Finish Line assessment will look at the skills taught each day to measure the understanding of a unit as a whole. Expected skills include displaying an understanding of place value, expanded form and creating different but equivalent number expressions. Distribute Race to the Finish Line. The answer key is provided. Authors: Stephanie Ferguson Calvert Elementary/North East Elem. Cecil County Public Schools Lorrie Randall Mary Ann Winterling Elem. Baltimore City Public Schools Name_______________________________________ Date________________________________ Grand Prix Place Value 1. On Friday 9,450 Grand Prix visitors are expected to stay in hotels. Write the total visitors staying in hotels in words. ____________________________________________________________________ 2. Write the place value of the underlined number on the road sign. Finish in 2,046 miles _____________________________________________________________________ 3. The number four thousand, two hundred sixty-four is written on the fastest car. Circle how the number is written. A. 4,624 C. 4,264 B. 2,644 D. 4,246 4. The number of hot dogs sold during the Baltimore Grand Prix is displayed in cubes below. Circle the number of hot dogs sold. 5. A. 1,591 C. 2,581 B. 2,591 D. 259 Write the number of Grand Prix fans, 6,243, who will watch the race from home in expanded form. _______________________________________________________________________________ Name_______________________________________ Date__________________________ Grand Prix Place Value Answer Key 1. On Friday 9,450 Grand Prix visitors are expected to stay in hotels. Write the total visitors staying in hotels in words. _ Nine thousand, four hundred fifty_______________________________________________ 2. Write the value of the underlined number on the road sign. Finish in 2,046 miles __2,000__________________________________________________ 3. The number four thousand, two hundred sixty-four is written on the fastest car. Circle how the number is written. C. 4,624 C. 4,264 D. 2,644 D. 4,246 4. The number of hot dogs sold during the Baltimore Grand Prix is displayed in cubes below. Circle the number of hot dogs sold. C. 1,591 C. 2,581 D. 2,591 D. 259 5. Write the number of Grand Prix fans, 6,243, who will watch the race from home in expanded form. 6,000+ 200 + 40 + 3= 6,243_______________________________________________ Group Members: ________________________ ___________________________ Directions: One person rolls the die and places the number shown under any place value they choose on the place value grid. The second person repeats. Continue 3 more times until the grids are complete. The person with the greater number wins. The winner places a tally mark in his/her column below. Race # 1 Thousands Hundreds Tens Ones Thousands Hundreds Tens Ones Thousands Hundreds Tens Race # 2 Ones Thousands Thousands Hundreds Tens Race # 3 Ones Thousands Hundreds Tens Ones Tens Race # 4 Ones Thousands Hundreds Tens Ones Thousands Hundreds Hundreds Tens Ones Winning Tallies Racer A Racer B Name: _______________________________________ Date: ____________________ Place Value Conversions Directions: Find the missing number. Use base ten blocks as a resource. 1. 2. hundreds = 200 ones 50 ones = 3. 1 thousand = tens hundreds 4. Thousands = 80 hundreds 5. Thousands = 900 tens 6. 600 ones = 7. 4 hundreds = tens tens 8. Stephanie says that 30 tens is the same as 300 ones. Layla says that 30 tens is the same as 3,000 ones. Who is correct? ___________________________________ Use what you know about place value to explain how you got your answer. Why isn’t the other girl correct? _______________________________________________________________________ _______________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ Name: _______________________________________ Date: ____________________ Place Value Conversions [Answer Key] Directions: Find the missing number. Use base ten blocks as a resource. 1. 2. 2 50 ones = 3. 1 thousand = hundreds = 200 ones 5 tens 10 hundreds 4. 8 Thousands = 80 hundreds 5. 9 Thousands = 900 tens 6. 600 ones = 7. 4 hundreds = 60 40 tens tens 8. Stephanie says that 30 tens is the same as 300 ones. Layla says that 30 tens is the same as 3,000 ones. Who is correct? Stephanie Use what you know about place value to explain how you got your answer. Why isn’t the other girl correct? Place value is the value of a digit according to the placement of it in a number. Stephanie is correct because I counted by ten 30 times. Also, I know that 10 tens is 100, 20 tens is 200, so 30 tens is 300. Layla is not correct because 3,000 has 30 hundreds or 300 tens, not 300 ones. Ticket to the Grand Prix Name_________________________ Date____________________________ 1. 5,465 = ____ thousands, ____ hundreds, ____ tens, _______ ones 2. 2,304 = ____ thousands, ____ hundreds, ____ tens, _______ ones 3. 570 = _____ thousands, ____ hundreds, ____ tens, _______ ones 4. What is the value of the 5 in the number 4,576? ______________________________________________________ 5. What is the value of the 0 in 1,305? ______________________________________________________ Ticket to the Grand Prix Name_______________________ Date________________________ 1. 5,465 = ____ thousands, ____ hundreds, ____ tens, _______ ones 2. 2,304 = ____ thousands, ____ hundreds, ____ tens, _______ ones 3. 570 = _____ thousands, ____ hundreds, ____ tens, _______ ones 4. What is the value of the 5 in the number 4,576? ______________________________________________________ 5. What is the value of the 0 in 1,305? ______________________________________________________ Ticket to the Grand Prix Answer Key Name_________________________ Date____________________________ 1. 5,465 = __5__ thousands, __4__ hundreds, __6__ tens, ___5____ ones 2. 2,304 = __2__ thousands, __3__ hundreds, __0__ tens, ___4____ ones 3. 570 = ___0__ thousands, __5__ hundreds, __7__ tens, ___0___ ones 4. What is the value of the 5 in the number 4,576? ___Five hundred (500)_____________________________________ 5. What is the value of the 0 in 1,305? ___Zero (0)______________________________________________ Green Green Fifty-Six Green Green Green Seven hundred thirty-nine Green Three thousand, fifteen Green Green Five thousand, eight hundred twenty-one Green Seven hundred forty Green Blue Blue Fifty-Six Blue Blue Blue Seven hundred thirty-nine Blue Three thousand, fifteen Blue Blue Five thousand, eight hundred twenty-one Blue Seven hundred forty Blue Yellow Yellow Yellow Yellow Fifty-Six Five thousand, eight hundred twenty-one Seven hundred thirty-nine Yellow Yellow Three thousand, fifteen Yellow Yellow Yellow Seven hundred forty Yellow Red Red Fifty-Six Red Red Red Seven hundred thirty-nine Red Three thousand, fifteen Red Red Five thousand, eight hundred twenty-one Red Seven hundred forty Red Purple Purple Fifty-Six Purple Purple Purple Seven hundred thirty-nine Purple Three thousand, fifteen Purple Purple Five thousand, eight hundred twenty-one Purple Seven hundred forty Purple Relay Race Materials 56 739 5,821 3,015 240 4-Digit Place Value Chart Thousands Hundreds Tens Ones Name: _______________________________________ Date: _________________________ Grand Prix Fans and Hotel Guests 1. Graham Rahal has 4,821 fans coming to see him race in the Baltimore Grand Prix. How many fans would he have if 200 more bought tickets? How did the hundreds place change? _____________________________________________________________________ _____________________________________________________________________ 2. Marco Andretti has 201 fans from France, 433 fans from Italy, and 6,217 fans from the United States. How many fans does he have altogether? How does place value help you solve this problem? ________________________________________________________________________ ________________________________________________________________________ Hotel Sheraton Inner Harbor Hotel Hyatt Regency Hotel Marriott Baltimore Waterfront Number of Guests 1,208 339 764 Read the chart above. Using base ten models, draw the number of people staying in each hotel. 3. Sheraton Inner Harbor Hotel 4. Hyatt Regency Hotel 5. Marriott Baltimore Waterfront Name: _______________________________________ Date: _________________________ Grand Prix Fans and Hotel Guests [Answer Key] 1. Graham Rahal has 4,821 fans coming to see him race in the Baltimore Grand Prix. How many fans would he have if 200 more bought tickets? How did the hundreds place change? He would have 5,021 fans. The hundreds place changed from an 8 to a 0 because 8 + 2 = 10 hundreds. 10 hundreds = 1 thousand, so there are no hundreds and 1 more thousand. 2. Marco Andretti has 201 fans from France, 433 fans from Italy, and 6,217 fans from the United States. How many fans does he have altogether? How does place value help you solve this problem? He has 6,851 fans altogether. Place value helps you solve this problem because you must line the numbers up according to place value before you solve. Hotel Sheraton Inner Harbor Hotel Hyatt Regency Hotel Marriott Baltimore Waterfront Number of Guests 1,208 339 764 Read the chart above. Using base ten models, draw the number of people staying in each hotel. 3. Sheraton Inner Harbor Hotel 4. Hyatt Regency Hotel 5. Marriott Baltimore Waterfront Name: ____________________________Date: _______________________ At Franchitti Racing School there are 7,605 students. Step A Write the number of students in two ways using word form and base ten block pictures. ____________________________________________________________ Step B Using what you know about place value explain why your base ten picture is correct. Be sure to include numbers, words, and/or symbols in your response. _____________________________________________ _____________________________________________ _____________________________________________ _____________________________________________ _____________________________________________ _____________________________________________ _____________________________________________ _____________________________________________ _____________________________________________ Answer key At Franchitti Racing School there are 7,605 students. Step A Write the number of students in two ways using word form and base ten block pictures. Seven thousand, six hundred five Step B Using what you know about place value explain why your base ten picture is correct. Be sure to include numbers, words, and/or symbols in your response. Place value is the value of a digit according to its placement in a number. The 7 is in the thousands place, so I drew 7 thousands blocks. The 6 is in the hundreds place, so I drew 6 hundreds blocks. There is a 0 in the tens place, so I did not have to draw any tens. There is a 5 in the ones place, so I drew 5 ones. Expanded Form Signs Thousand Hundred Ten One thousands hundreds tens ones 1 2 3 4 5 6 7 Mixed Up Numbers Game Directions: Students should cut up cards to play game. 8 9 0 Names_____________________________ _____________________________ Date __________________________ Mixed Up Number Game: Mix up the cards. One partner holds the digits. The other partner holds the place value. One at a time match cards: place value to digits. Then fill in the chart. Standard Form 1. ___, ___ ___ ___ Expanded Form 1. 2. 2. ___, ___ ___ ___ 3. 3. ___, ___ ___ ___ 4. 4. ___, ___ ___ ___ 5. 5. ___, ___ ___ ___ Write your 5 numbers in order from least to greatest. ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ Write the largest number in word form. __________________________________________________________________________________________ Rules Sit next to each other (not across like in regular war) and place the Number Club Mat (see card design) in front of you. Pick a card from the deck. The player with the highest card deals. Dealer: Shuffle the cards and deal them all out, one at a time and face down. Each player should have the same number of cards. If they don't, check to make sure all the Jokers, Tens, Aces, Jacks, and Kings have been removed from the deck. Players: Stack your cards in a pile face down. Do not look at them. Play: 1. Player on the dealer's left: You go first. Flip over the top card on your deck and place it in either the Hundreds, Tens, or Ones place on the Number Club Mat. Remember, you are trying to build the largest number. 2. Play goes around to the left with each player placing a card in their Hundreds, Tens, or Ones place on the Number Club Mat. 3. After all players have made a 4-digit number, the player with the largest number wins the round. 4. Winner: In order to collect all the cards on the mat, you must correctly read the value of your number and all other losing numbers in this manner: If your winning number was 523 and the losing numbers were 321 and 212, you would say: "Five hundred forty three is larger than three hundred twenty one and two hundred twelve. 5. Players: Check to make sure the winner says the numbers correctly. If s/he makes a mistake, the player with the second largest number wins the round and collects all the cards on the mat. Place the winning cards face down at the bottom of your deck. 6. Person on the winner's left: You start the next round by placing a card on the Number Club Mat. Play continues to the left so the winner goes last. This will give her/him an advantage. 7. Winning: The player who collects all the cards is the winner. In a 3 or 4 player game, players who run out of cards must sit out. Play continues with the winning players until there is an ultimate winner. Racer #1 Racer #2 Racer #3 Racer #4 Name_______________________________________ Date__________________________ Farewell Grand Prix! 1. It will take Baltimore City Sanitation 2,346 hours to clean up the trash from the Grand Prix. What is the value of the 3? ______________________________________________________________________________ 2. The number of visitors who had fun at the Baltimore Grand Prix is displayed in cubes below. Circle the correct number of happy visitors. A. 5,445 C. 4000+300+40+3 B. Four thousand, four hundred forty-five D. 4,445 3. Marco Andretti has 9,742 friends on Facebook. Write Marco’s number of friends in expanded form. ___________________________________________________________________________________ 4. The last day of the Grand Prix had a record number of 6,705 spectators. Write the total number of spectators in words. ______________________________________________________________________________ Name_______________________________________ Date__________________________ Farewell Grand Prix! Answer Key 1. It will take Baltimore City Sanitation 2,346 hours to clean up the trash from the Grand Prix. What is the value of the 3? ______300________________________________________________________________________ 2. The number of visitors who had fun at the Baltimore Grand Prix is displayed in cubes below. Circle the correct number of happy visitors. E. 5,445 C. 4000+300+40+3 F. Four thousand, four hundred thirty-five D. 4,445 3. Marco Andretti has 9,742 friends on Facebook. Write Marco’s number of friends in expanded form. ____9000 + 700 + 40 + 2 = 9,742___________________________________________________________ 4. The last day of the Grand Prix had a record number of 6,705 spectators. Write the total number of spectators in words. Six thousand, seven hundred five_______________________________________________________ Name____________________ Date______________ Race to the Finish Line The place value of the underlined number is: 1. 5,624 A. Hundreds B. Thousands C. Ones D. Tens 2. 7,243 A. Hundreds B. Thousands C. Ones D. Tens 3. If Dario has 200 wins, how many tens of races did he win? 4. Write this number in expanded form, 5,094. 5. Write this number in word form, 9,232. 6. What is the value of the 6 in 8,692? 7. Write this number in expanded form, 2,785. 8. If Mario told television reporters he won four thousand, seven hundred fifty-eight races, what number would you write to display his wins? Brief Constructed Response (worth 3 points) Attendance at the Baltimore Grand Prix was at an all time high for children. John went and tallied the children who attended. He calculated that there were 1,205 girls and 2,843 boys. Step A Write the number of boys in three ways using word form and base ten block pictures and expanded form. Step B Using what you have learned about place value explain why your representations are correct. Be sure to include numbers, words, and/or symbols in your response. _____________________________________________ _____________________________________________ _____________________________________________ _____________________________________________ _____________________________________________ _____________________________________________ _____________________________________________ Name ____________________ Date______________ Race to the Finish Line Answer Key The place value of the underlined number is: 1. 5,624 A. Hundreds B. Thousands C. Ones D. Tens 2. 7,243 A. Hundreds B. Thousands C. Ones D. Tens 3. If Dario has 200 wins, how many tens of races did he win? Twenty 4. Write this number in expanded form, 5,094. 5,000 + 0 + 90 + 4 =5,094 5. Write this number in word form, 9,232. Nine thousand, two hundred thirty-two 6. What is the value of the 6 in 8,692? 600 7. Write this number in expanded form, 2,785. 2,000 + 700 + 80 + 5= 2,785 8. If Mario told television reporters he won four thousand, seven hundred fifty-eight races, what number would you write to display his wins? 4,758 Brief Constructed Response (worth 3 points) Attendance at the Baltimore Grand Prix was at an all time high for children. John went and tallied the children who attended. He calculated that there were 1,205 girls and 2,843 boys. Step A Write the number of boys in three ways using word form and base ten block pictures and expanded form. Two thousand, eight hundred forty-three 2,000 + 800 + 40 + 3 Step B Using what you have learned about place value explain why your representations are correct. Be sure to include numbers, words, and/or symbols in your response. Place value is the value of a digit according to its placement in a number. 2,843 has 2 thousands, so I drew 2 thousands blocks. It has 8 hundreds, so I drew 8 hundreds blocks. It has 4 tens blocks, so I drew 4 tens. It has 2 ones, so I drew 2 ones blocks. 2 thousands = 2,000 8 hundreds = 800 4 tens = 40 and 3 ones = 3. So, 2,000 + 800 + 40 + 3 = 2,843 in expanded form. For word form, I wrote out the words that I would say when reading the number. I made sure to put a comma after the thousands and a hyphen in between 43.
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