2PROBLEM SOLVINGJacob helps at the family flower shop in the summer. He keeps a record of how many flower bouquets he sells. How many bouquets did he sell on Tuesday and Wednesday?MONDAY17TUESDAY24WEDNESDAY26THURSDAY35FRIDAY43SATURDAY48
3Total: total number of bouquets he sold on Tuesday and Wednesday. Use a Bar DiagramTotal: total number of bouquets he sold on Tuesday and Wednesday.?Part Part= ?MONDAY17TUESDAY24WEDNESDAY26THURSDAY35FRIDAY43SATURDAY482426
4Total: Cost of the sweatshirt Emily is saving to buy a sweatshirt from the college her brother attends. She has $13. How much more money does she need to buy the sweatshirt?Total: Cost of the sweatshirt_____$32_____32 – 13 = _____$32$32$13?
5Tickets to a movie on Saturday cost only $5 each no matter what age you are. What is the cost of tickets for a family of three?Total cost ?3 X 5 = ____5
6Twenty-four students traveled in 3 vans to the zoo Twenty-four students traveled in 3 vans to the zoo. The same number of students were in each van. How many students were in each van?2424 divided by 3
7What should your strategy be? The race was 5 kilometers. Markers were at the starting line and the finish line. Markers showed each kilometer of the race. Find the number of markers used.What should your strategy be?Start Line km km km km Finish Line
8How many ways can you make change for a quarter using dimes and nickels?
9Michael and Madison spent all day Saturday at the County Fair Michael and Madison spent all day Saturday at the County Fair. Michael rode 3 rides every half hour and Madison rode 2 rides every half hour. How many rides had Madison ridden after Michael rode 24 rides?Strategy: Make a chart
10The house numbers on Forest Road change in a planned way The house numbers on Forest Road change in a planned way. Describe the pattern. Tell what the next two house numbers should be.___ ___ ___
11Strategy: Guess and Check Joshua spent $27, not including tax, on supplies for his dog. He bought two of one item and one of another item. What did he buy?Strategy: Guess and CheckLeash$8Collar$6Bowls$7Bed$15
12Emma’s new CD player can hold 6 discs at one time Emma’s new CD player can hold 6 discs at one time. If she has CDs, how many times can the player be filled without repeating a CD?divided by 6 =204nn
13How many different ways can 4 students shake each other’s hand? Strategy: Act it out
14What is the perimeter of the figure? Each side of each triangle in the figure is one centimeter. If there are 12 triangles in a row, what is the perimeter of the figure shown?Strategy: Make a table ( function chart )341256789101112
15Matthew collected some shells, rocks, and beach glass. How many of each object are in his collection?2 rocks3 Times as many shells as rocks12 objects in allBeach glass
16Olivia was in a jump rope contest Olivia was in a jump rope contest. How did her number of jumps change over the five days of the contest?M T W T F80604020
17Daniel has band practice at 10:15 a. m Daniel has band practice at 10:15 a.m. It takes 20 minutes to get from his home to practice and 5 minutes to warm up. What time should he leave home to get to practice on time?Strategy: work backward
18Writing to ExplainWhat will happen to the area of a rectangle if the lengths of its sides are doubled?2 inches1 inch______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________
19Draw a picture of what you would do with the blocks. Writing to ExplainUse blocks to show 13 X 14.Draw a picture of what you would do with the blocks.
20REVIEW digit compare even period odd number line A group of three digits in a number separated by a comma is aA ____________ is a line that shows numbers in order using a scale.The number 8 is an ___________ number.The number 5 is an __________ number.
21Compare each set of numbers using > greater than < less than = equal to
22Tell if the highlighted digit is in the ones, tens, or hundreds place. 3461792110633472173208101,0069991,405
23__ __ __, __ __ __, __ __ __, __ __ __ Writing to ExplainHow does using commas to separate periods help you read very large numbers?__ __ __, __ __ __, __ __ __, __ __ ___________________________________ _________________________________ _________________________________ _________________________________
24What are some ways to write numbers in the thousands? Representing NumbersWhat are some ways to write numbers in the thousands?Hannah is 4,276 feet above sea level. There are many different ways to represent 4,276.
25How do you read and write numbers in the thousands? Standard Form: When writing a number in standard form you write only the digits.5,263Expanded Form: A number in expanded form is written as the sum of the values of each of the digits. 5,Word Form: Use periods in the place-value chart to write the number in words.five thousand, two hundred sixty-three
26Why is the value of the 5 in 5,784 = 5,000? Writing to ExplainWhy is the value of the 5 in 5,784 = 5,000?Explain: __________________________Is the expanded form for 6,348 the same as 6,348?
27Write the word form of each. What is the value of the red digit in each number?15,324135,467275,20642,15863,308921,382
28Write each number in expanded form. 764,51323,105219,32885,124806,63375,200
31Write each number in Standard form. eighty-three thousand, nine hundred twothree hundred twenty-one thousand, two hundred fifty-threetwenty-one thousand, eight hundred seventeenthree hundred eight thousand, twenty-ninefour hundred ninety-seven thousand, six hundred sevenone hundred twenty-five thousand, seven hundred sixty-threefive thousand, one hundred forty-fivetwenty-three thousand, three hundred seventyfour hundred three thousand, eight hundred sixty-one
32Which digit is in the same place in all three numbers? What is the place-value position?574, , ,581Write the number 403,867 in word form.________________________________Can you expand it? _______________________________
33What is the largest 4 digit number you can make? _____________ What is the smallest 4 digit number?______________Write to explain: __________________________________
34The city of Port Orange has 124,763 books in their Library with 3,142 DVDs in their collection. This year they will purchase an additional 1,500 books and 2,000 DVDs. How many books will the library have after the purchase?What is the operation?Set up and solve._____ _____ = ______
35The Everglades National Park is the largest national park in Florida The Everglades National Park is the largest national park in Florida. It was established in What is this number in expanded form?___________This is the year How long ago was the Everglades National Park established?____________
36The Egyptians created a number system that used symbols, or hieroglyphs. The chart shows the symbols and their equivalent numbers.Hieroglyphs are drawn with thegreater number in front of thelesser number. 31Hieroglyphs can be read fromleft to rightIf the symbols are stacked,the greater number is onthe top ,413
37Write 217 in word form and using hieroglyphs. ___________Write 2,523 in word form and using hieroglyphs.____________
38Which number will take less time to write with hieroglyphs, 9 or 100? Explain…Use hieroglyphs to write the greatest 5 digit number possible.
39Use hieroglyphs to draw the number one greater than 249. ____________It is believed that the Egyptian number system was created around B.C. Use hieroglyphs to represent this number.
40Roman Numerals is another number system Roman Numerals is another number system. How does it compare to the Egyptian system?
41What are some ways to write numbers in the millions? Between through 2005, 356,039,763 fans attended professional baseball games. Write the expanded form and word form for 356,039,763.Draw a place-value chart to help.
42Write the number in word form Write the number in word form. Then tell the value of the red digit in each number.75,600,295249,104,3306,173,253430,290,10016,107,32078,001,432
43Write each number in standard form. 300,000, ,000, ,000, , , ,900,000, ,000, ,000, , ,80,000, ,000, , ,
44Tell the value of the red digit in each number Tell the value of the red digit in each number. Write each number in word form.7,915,87823,341,552214,278,216334,290,6527,330,96830,290,447133,958,840309,603,114
45In 2005, seventy-four million, nine hundred fifteen thousand, two hundred sixty-eight fans attended baseball games. Which choice shows this number in standard form?74,015,96874,905,26874,900,26874,915,268
46The vault at Fort Knox holds 147,300,000 ounces of gold The vault at Fort Knox holds 147,300,000 ounces of gold. Write the number that is one million more.
47Write the expanded form of 123,456,789 and 987,654,321. Which digit has the same value inboth numbers?
48Write a number that is ten million more than the number you chose. Write the standard form of a 9-digit number with a 5 in the millions place and a 9 in the tens place.___________________Write a number that is ten million more than the number you chose.______________Write a number that is one million less than the number you chose.
49How can you estimate an unknown distance? Mrs. Vale asked her students to estimate the distance around their classroom. Is the distance closer to 50 feet, feet, or feet?
50You know that when you take a large step it is about 3 feet. When trying to estimate an unknown distance you should use a distance that you already know. (benchmark)You know that when you take a large step it is about 3 feet.Using this information you can estimate any distance.If it takes you 10 steps to cross the classroom it would be about _____ feet.
51Chris wanted to estimate the number of seats in a football stadium Chris wanted to estimate the number of seats in a football stadium. Is the total number of seats in the stadium closer to 20,000 seats, 60,000 seats or 160,000 seats?about 5,000 seats
52An unsharpened pencil is about 7 inches long An unsharpened pencil is about 7 inches long. Use your pencil to estimate the distance around your desk. Is the distance closer to 15 inches, 90 inches, or inches?
53What else could you use as a benchmark? ______________ Is the distance around your book closer to 12 inches, 50 inches, or inches?Without using a standard measuring tool, how can you make an educated guess? _____________________What else could you use as a benchmark? ______________
54Can you use this knowledge to help you estimate the size of objects? How big is your thumb?Can you use this knowledge to help you estimate the size of objects?How big is your arm span?Can this knowledge help you estimate the length of objects?
55How big was the King’s foot? How do you know? How do we use this knowledge?
56How can the known data help you estimate how many beans are in the jar if the jar were full? Would the jar hold 1,500or 3,000 or 5,000 beans?Using data for only partof the amount is calleda BENCHMARK.1,000
57Think about the jar of beans. If you fill the jar with marbles to the same level as 1,000 beans there would be marbles.After all, marbles are biggerthan beans so they takeup more space.Using this data how manymarbles will fill the jar?
58The distance between Orlando and Tampa is about 85 miles The distance between Orlando and Tampa is about 85 miles. Is the distance between Tampa and Miami closer to 100 miles, 300 miles, or miles? Explain.
59How can you use the map and the known distance between Orlando and Tampa to estimate the distance from Orlando to Palm Beach?
60A parking garage has six levels. Each level has spaces for 312 cars A parking garage has six levels. Each level has spaces for cars. Over 4,000 vehicles are expected for a large event at the Ocean Center. Will the parking garage be able to hold over 4,000 vehicles?Explain your answer.
61About how much of the park will contain trees? The picture of the park shows the area of the park where trees are to be planted.About how much of the park will contain trees?Hint: The lake ispart of the park.
62New park benches will be installed every 100 yards along the path. The total length of the walking pathis about 6,000 yards.What is a good estimate of the numberof benches that the park will have?
63The Mote Aquarium in Sarasota, Florida, has a 135,000 gallon shark tank.What is the value of the 3 in this number?
64The length of one year on a planet is the total time for the planet to make one complete trip around the Sun.a. How many fewer days doesit take Mercury to circlethe Sun than for Earthto circle the Sun?b. About how many more Earthdays is a year on Mars thana year on Earth?c. Which planet has a digit 6 with avalue of sixty thousand in thelength of its year?PLANETLENGTH OF YEARMERCURY88VENUS225EARTH365MARS687JUPITER4,330SATURN10,756URANUS30,687NEPTUNE60,190
65Which planet has a year that is about six thousand Earth days more than Jupiter’s? a. Which two planetshave a combined yearof about 41,000 days?b. How many fewer daysdoes it take Mars tocircle the Sun thanit takes Saturn?PLANETLENGTH OF YEARMERCURY88VENUS225EARTH365MARS687JUPITER4,330SATURN10,756URANUS30,687NEPTUNE60,190
66Which space object listed has an average surface temperatureclosest to Earth’s?What is the averagesurface temperaturesin order from least togreatest.SPACE OBJECTAVERAGE TEMPERATUREMERCURY332 Degrees FEARTH59 Degrees FMOON0 Degrees FVENUS867 Degrees F
67Abigail’s favorite planet has at least 5 letters in its name Abigail’s favorite planet has at least 5 letters in its name. The length of its year is less than 10,000 Earth days. List all the planets that fit these clues.PLANETLENGTH OF YEARMERCURY88VENUS225EARTH365MARS687JUPITER4,330SATURN10,756URANUS30,687NEPTUNE60,190
68Interpret the value of a given digit in a number Interpret the value of a given digit in a number. (Be careful – we are not talking about place value. We are asking the actual value of each digit)264,901,835How many millions? _______How many thousands? ___________How many hundreds? ____________How many tens? ________________How many ones? ________________
69How can you compare numbers? Africa and Asia are the two largest continents on Earth. The land area of Africa is 11,608,000 square miles. The land area of Asia is 17,212,000 square miles.Which continent is larger?1 1, 6 0 8, 0 0 01 7, 2 1 2, 0 0 0Compare each digit place by place.
70How can you order numbers? The area of 3 continents on Earth are shown in the table. Write the areas in order from least to greatest.ContinentAreaEurope4,010,000N. America9,450,000S. America6,890,000
71Plot numbers on a number line. 4,000, ,000, ,000, ,000,000ContinentAreaEurope4,010,000N. America9,450,000S. America6,890,000
72Write < , = , or > to compare numbers. 12, ,8016, ,582111, ,7316, ,6993,107, ,170,5012,906, ,906,79380, ,73115, ,408
73Order these numbers from greatest to least. 105,232,463 105,232,482 105,232,947_____________________________Which place did you have to look at to order these numbers?
75Writing <, >, or = to compare numbers. 221, ,38852, ,704138, ,1224, ,93922, ,7741,912, ,913,898412, ,36299,999, ,990,999
76Order the numbers on the number line. 26, , ,00027,50526,90526,950
77Order the numbers on the number line. 3,422, ,422, ,423,0003,422,1003,422,7003,422,000
78Order the numbers on the number line. 7, , , , ,9007,5027,6227,5237,852
79Order the numbers on the number line. 3, ,0503,0303,0333,003
80Write the numbers in order from least to greatest. 57, , ,49518, , ,49025, , ,998877, , ,39343, , ,382723, , ,43258, , ,893274,849, ,940, ,485,903
81Andrew added 57 and 20 and said the answer is greater than 100. Is Andrew correct?Could you use only the millions periodto order 462,409, ,409,524and 463,562,391?
82_________________________ Write three numbers that are greater than 780,000 but less than 781,000.___________________Order the numbers 7, ,633 and74,366 from greatest to least._________________________
83In 2003, the heaviest snake living in captivity was a Burmese python namedBaby. Baby weighed in at pounds.An average Anaconda snakeweighs pounds. Which snakeweighs more?
84Which list of numbers is in order from least to greatest? Which is in order form greatest to least?1, , ,56318, , ,765234, , ,323383, , ,849
85Which child has saved the most baseball cards?Isabella3,424Ethan2,354Samantha3,443Joesph2,932
86How much greater is the land area of China than Japan? CountryLand AreaJapan377,835China9,600,000
87The Atlantic Ocean has an area of 33,420,000 square miles. This area isbetween which sets of numbers?33,400, ,040,00033,400, ,440,00033,100, ,419,00033,430, ,500,000
882 9 3, 6 5 5, 4 0 4 How can you round numbers? Round 293,655,404 to the nearest thousand and to the nearest hundred thousands. Use place value to round numbers.If the digit to the right of the rounding place is 5 or more,add 1 to the rounding digit.If it is less than 5, leave the rounding digit alone.2 9 3, 6 5 5, 4 0 4
89Round each number to the place of the highlighted digit. 128,95585,6399,9241,194,542160,656149,590
90In 2008, the population of the United States was 304,691,952.Round 304,691,952 to the nearesthundred thousand.
91Round each number to the place of the underlined digit. 493,29539,23077,292453,28075,25454,84621,67955,56017,9099,0496,668,3653,417,5479,511123,9001,666,8219,000,985149,99973,065
92Which zoo had the greatest number of visitors? For each zoo in the chart, round the attendance to the nearest hundred thousand.Which zoo had the greatest number of visitors?Nashville Zoo546,429Philadelphia Zoo1,244,000Oregon Zoo1,503,565Brevard Zoo328,973
93Elizabeth read that about 1,760,000 people will graduate from high school in thenext four years. She thinks thisnumber is rounded to the nearest tenthousand. What would the number beif it were rounded to the nearesthundred thousand?
94Ashley has attended class every day since she started school as a kindergartener. She said she has beenin school for about 1,000 days. Whatcould the actual number of schooldays be if she is in 4th grade and thenumber is rounded to the nearest ten?
95When rounded to the nearest ten thousand, which number would be rounded to 120,000? 123,900128,770130,000124,480
96A fruit market sold 3,849 apples, 3,498 oranges, and 3,894 pears in one month. Which of these numbers isthe greatest?
97How can you estimate sums and differences? The Empire State Building was completed in From ground to tip, it measured 1,250 feet. At the top of the building is an antenna and lightning rod that measures feet. Estimate the total height of the structure.
98When estimating you usually round the number in order to add or subtract easily. The Washington Monument was completed in About how many years after was the Empire State Building completed?19311884
99Estimate each sum or difference. 563+ 375288- 171645+ 253262- 132
100The Statue of Liberty was completed in About how many years laterwas the Empire State Buildingcompleted than the Statue of Liberty?
101William bought a board game for $24, a key ring for $3, and a book for $8.How much money did he spend?Challenge: If he gives the cashier two $20 bills how much change will he receive?
102This year, 35,658 people ran in a marathon. Last year, 8,683 fewer people ran in the marathon. About howmany people ran last year?
103Anthony sold 86 tickets to the school’s talent show on Thursday and 103tickets on Friday. About how manytickets to the talent show did he sellin all?
104Alexis was born in the year 2004. One of her older sisters was born in Rounding to the nearest ten,about how many years youngeris Alexis?
105During swimming practice, David swam 15 laps and Sarah swam 9 laps. How many more laps did Davidswim than Sarah?
106Sophia read 235 pages of a book Sophia read pages of a book. She had more pages to read before she was done. How many total pages were there in the book??235192
107Draw a picture and write an equation to solve. 1,350 420 PROBLEM SOLVING strategy: DRAW A PICTUREThe mass of a human brain is how much greater than the mass of a chimp brain?Draw a picture and write an equation to solve.1,350Cat30 gramsChimp420 gramsHuman1,350 gramsDolphin1,500 grams420
108Four cities are on the same road that runs east to west Four cities are on the same road that runs east to west. Fleming is west of Bridgewater, but east of Clinton. Union is between Fleming and Bridgewater. It is 21 miles from Fleming to Union. It is 55 miles from Clinton to Union. How far is it from Clinton to Fleming?WE
109There are about more species of animals in the Minnesota Zoo than in the Phoenix Zoo. About how many species of animals are in the Minnesota Zoo? About how many at the Miami Metro Zoo?ZOONumber of SpeciesPhoenix200MinnesotaMiami MetroIndianapolis360Total Species2,260
110A parking lot had a total of 243 cars in one day. By 6:00 a.m. there werecars in the lot. In the next hour,13 more cars joined these.How many more cars would parkin the lot by the end of the day?
111The American Kennel Club lists 17 breeds of herding dogs and 26 breeds of terriers. Find the total number of breeds of herding dogs and terriers.
112In one week Alexandra earned $36 from her babysitting job. She got $15 morefor doing her chores. How muchmoney did she earn that week??