Lesson: Place Value Lesson Topic: Convert between place values

Transcription

1 Lesson: Place Value Lesson Topic: Convert between place values Solve: hundreds = 90 tens Solve: 1 ten thousand = thousands Solve: hundred thousands = 5000 hundreds Solve: 3 ten thousands = thousands Solve: hundred thousands = 900 thousands

2 Lesson Topic: Convert between place values word problems The dogs at a shelter are housed in 4 different rooms. If there are 10 dogs in each room, how many dogs are housed at the shelter? dogs A library has 9,000 books. During renovations, the library wants to pack them into boxes that hold 10 books each. How many boxes are needed? boxes There are 100 sections of seats at a concert. If each section has 520 seats, how many people can be seated? people Each district has 1,100 neighborhoods and the city has 11,000 neighborhoods. How many districts are there in the city? districts At a school assembly, there are 150 students. If the students are to be dismissed in groups of 10, how many groups will be made? groups

3 Lesson Topic: Divide by 10 Divide: 10) 880 Divide: = Divide: 8, = Divide: 10) 2,100 Divide: 10) 2,300

4 Lesson Topic: Divide by 10 word problems A market has 3,000 oranges. If the market has 100 fruit crates and wants to put the same number of oranges in each crate, how many oranges will go into each crate? oranges Five thousand, three hundred twenty people are on a cruise. If each dinner table seats 10 people, how many dinner tables does the cruise line need to provide? tables A dance festival takes place over three days for a total time of 35 hours. If each dance group has 10 minutes to perform, how many dance groups can perform at the festival? groups London inherited $823,000. If she wants to donate a tenth of her inheritance to charities, how much should she donate? $ A corporate building has 110 offices. If each floor has 10 offices, how many floors does the building have? floors

5 Lesson: Rounding Lesson Topic: Round to the nearest 1000 Round 5,024 to the nearest thousands place: Round 8,276 to the nearest thousands place: Round 1,296 to the nearest thousands place: Round 3,843 to the nearest thousands place: Round 1,563 to the nearest thousands place:

6 Lesson Topic: Round to the nearest 10,000 Round 89,582 to the nearest ten thousands place: Round 47,624 to the nearest ten thousands place: Round 13,607 to the nearest ten thousands place: Round 14,465 to the nearest ten thousands place: Round 32,072 to the nearest ten thousands place:

7 Lesson Topic: Round to the nearest 100,000 Round 946,711 to the nearest hundred thousands place: Round 247,025 to the nearest hundred thousands place: Round 235,629 to the nearest hundred thousands place: Round 840,449 to the nearest hundred thousands place: Round 510,489 to the nearest hundred thousands place:

8 Lesson Topic: Round multi-digit whole numbers What is 1,711,239 rounded to the nearest hundred? What is 82,119 rounded to the nearest ten thousand? What is 1,209,845 rounded to the nearest ten thousand? What is 1,872,521 rounded to the nearest thousand? What is 77,543 rounded to the nearest ten?

9 Lesson Topic: Round and add multi-digit numbers Round to the nearest ten and then add the rounded numbers Round to the nearest hundred and then add the rounded numbers Round to the nearest thousand and then add the rounded numbers Round to the nearest thousand and then add the rounded numbers Round to the nearest ten and then add the rounded numbers

10 Lesson Topic: Round and add multi-digit numbers word problems Madeline sold $167 worth of items at a garage sale and then received her $232 paycheck. Estimate how much money she now has by rounding to the nearest ten first and then adding the rounded numbers. $ A quiche took 101 minutes to make and 175 minutes to bake. Estimate the combined time it took to prepare the quiche by rounding to the nearest ten first and then adding the rounded numbers. minutes Emilia's first flight lasted 328 minutes, and her second flight lasted 566 minutes. Estimate the combined length of her flights by rounding to the nearest ten first and then adding the rounded numbers. minutes Jeremy sprinted for 123 seconds and rested. Then he sprinted for 157 seconds, rested, and sprinted again for 195 seconds. Estimate the combined time he sprinted by rounding to the nearest ten and then adding the rounded numbers. seconds $ Ava bought a laptop for each of her three employees. Each laptop cost $2,459. Estimate Ava's combined cost by rounding to the nearest hundred first and then adding the rounded numbers.

11 Lesson Topic: Round and subtract multi-digit numbers Round to the nearest hundred and then subtract the rounded numbers Round to the nearest ten and then subtract the rounded numbers Round to the nearest hundred and then subtract the rounded numbers Round to the nearest ten and then subtract the rounded numbers Round to the nearest ten and then subtract the rounded numbers. 6,891-28

12 Lesson Topic: Round and subtract multi-digit numbers word problems On her 18th birthday, Dana is 6,570 days old and her younger brother is 5,811 days old. Estimate how much older Dana is by rounding to the nearest thousand and then subtracting. days Holly's destination is 7,892 miles away. If she has already traveled 2,340 miles by plane, estimate how far she is from her destination now by rounding to the nearest ten and subtracting. miles One of the world's oldest trees is 5,239 years old. A tree in Caspian's backyard is 481 years old. Estimate the age difference between the trees by rounding to the nearest hundred and then subtracting. years The Wilkes family sold both of their cars. They sold one car for $7,700 and the other for $9,050. Estimate the difference in the selling price of the two cars by rounding to the nearest thousand and then subtracting. $ In one city, 3,546 people attended a concert but in another city, 9,238 people attended the same band's concert. Estimate how many more people attended the concert in the second city by rounding to the nearest hundred and then subtracting. people

13 Lesson Topic: Round and multiply multi-digit numbers Estimate 44 22, by rounding to the tens place and multiply. x Estimate 48 27, by rounding to the tens place and multiply. x Estimate 55 39, by rounding to the tens place and multiply. x Estimate 13 88, by rounding to the tens place and multiply. x Estimate 72 53, by rounding to the tens place and multiply. x

14 Lesson: Adding and Subtracting Multi-Digit Numbers Lesson Topic: Add multi-digit whole numbers Add: 3, , 2 3 9, Add: 5, , 5 9 8, Add: 5, , 7 2 0, Add: 3, , 5 9 2, Add: 5, , 2 7 3,

15 Lesson Topic: Subtract multi-digit whole numbers Subtract: Subtract: Subtract: Subtract: Subtract:

16 Lesson: Multi-Digit Whole Numbers Lesson Topic: Write multi-digit whole numbers Write the number. Seventy-three thousand, five hundred fifteen = Write the number. Thirty-four thousand, two hundred seventy-two = Write the number. Four hundred twenty-four thousand, five hundred fifteen = How is the number 19,199 written in words? Nineteen thousand, one hundred ninety Nineteen thousand, one hundred ninety-nine Nine thousand, one hundred ninety Nine thousand, one hundred ninety-nine none of the above Write the number. Forty-one thousand, seven hundred twelve =

17 Lesson Topic: Write numbers in expanded form in standard notation Write the following expanded number in standard notation. 50, , = Write the following expanded number in standard notation. 10, , = Write the following expanded number in standard notation. 50, , = Write the following expanded number in standard notation. 10, , = Write the following expanded number in standard notation. 40, , =

18 Lesson Topic: Write standard notation numbers in expanded form Write the following number in expanded form. 985,423 = Write the following number in expanded form. 13,652 = Write the following number in expanded form. 181,456 = Write the following number in expanded form. 125,631 = Write the following number in expanded form. 487,764 =

19 Lesson Topic: Compare multi-digit numbers Compare. 15,984 is 15,489 > < = Compare. 73,293 is 73,292 Greater than Less than Equal to Compare. 7,112 is 7,113 Greater than Less than Equal to Compare. 14,940 is 14,911 Greater than Less than Equal to

20 Compare. 321,098 is 321,198 Greater than Less than Equal to

21 Lesson Topic: Compare multi-digit numbers word problems Daintree Mall gave out 2,489 pieces of candy for Halloween. Fleur Mall gave out 2,498 pieces of candy for Halloween. Which mall gave out more pieces of candy for Halloween? Daintree Mall The malls gave out equal pieces of candy Fleur Mall none of the above What was the greatest amount of precipitation among these cities? mm

22 What was the lowest sales figure? $ What was the highest sales figure? $ Which city is the farthest from Potomac, Maryland? Houston San Diego New York Raleigh Forks

23 Which university has the lowest enrollment? North Carolina State University University of Phoenix University of North Carolina University of Florida Harvard University

24 Lesson Topic: Sort multi-digit numbers Write the numbers in order from least to greatest , 72613, 72128, < < < Write the numbers in order from greatest to least , 77621, 77211, > > > Write the numbers in order from least to greatest , 13621, 13211, < < < Write the numbers in order from greatest to least , 72697, 69271, > > > Write the numbers in order from least to greatest , 54621, 54211, < < <

25 Lesson Topic: Sort multi-digit numbers word problems Order the electric power consumption of the five nations from least to greatest: 1,384 < 2,332 < 2,659 < 36,853 < 7,772 36,853 < 7,772 < 2,659 < 2,332 < 1,384 1,384 < 2,332 < 2,659 < 7,772 < 36,853 1,384 < 2,659 < 2,332 < 7,772 < 36,853 7,772 < 36,853 < 2,659 < 2,332 < 1,384 Order the release dates from least to most recent:

26 1998 < 2003 < 2007 < 2004 < < 2009 < 2007 < 2004 < < 2003 < 2004 < 2007 < < 2004 < 2007 < 2009 < < 2007 < 2004 < 2003 < 1998 Order the founding dates from the oldest to most recent < 1810 < 1950 < 1961 < < 1961 < 1950 < 1821 < < 1821 < 1810 < 1961 < < 1821 < 1950 < 1961 < < 1821 < 1961 < 1950 < 2003

27 Order the net profits from greatest to least: $1,203,432 > $1,320,000 > $723,124 > $780,237 > $924,000 $1,320,000 > $1,203,432 > $924,000 > $780,237 > $723,124 $924,000 > $780,237 > $723,124 > $1,320,000 > $1,203,432 $1,320,000 > $1,203,432 > $780,237 > $723,124 > $924,000 $723,124 > $780,237 > $924,000 > $1,203,432 > $1,320,000 Order the surface areas from greatest to least.

28 116,346 > 145,920 > 302,535 > 2,969,907 > 6,601, ,346 > 145,920 > 2,969,907 > 302,535 > 6,601,668 6,601,668 > 2,969,907 > 302,535 > 145,920 > 116,346 6,601,668 > 302,535 > 2,969,907 > 145,920 > 116, ,535 > 2,969,907 > 6,601,668 > 145,920 > 116,346

29 Lesson: Multiplicative Comparisons Lesson Topic: Translate a multiplication equation to a verbal statement Which multiplicative comparison statements describe the equation: 2 11 = 22 Check all that are true. 22 is 11 times as many as 2 22 is 2 times as many as is 22 times as many as 2 2 is 11 times as many as 22 2 is 22 times as many as 11 Which multiplicative comparison statements describe the equation: 3 12 = 36 Check all that are true. 12 is 36 times as many as 3 36 is 3 times as many as is 12 times as many as 3 3 is 12 times as many as is 3 times as many as 36 Which multiplicative comparison statements describe the equation: 15 = 3 5 Check all that are true.

30 5 is 15 times as many as 3 15 is 5 times as many as 3 3 is 15 times as many as 5 15 is 3 times as many as 5 3 is 5 times as many as 15 Which multiplicative comparison statements describe the equation: 55 = 5 11 Check all that are true. 11 is 55 times as many as 5 55 is 11 times as many as 5 11 is 5 times as many as is 5 times as many as 11 5 is 11 times as many as 55 Which multiplicative comparison statements describe the equation: 4 7 = 28 Check all that are true. 28 is 4 times as many as 7 7 is 4 times as many as 28 4 is 7 times as many as 28 7 is 28 times as many as 4 28 is 7 times as many as 4

31 Lesson Topic: Write multiplication equations If 20 plums are packed 5 to a bag, then write a multiplication equation to represent finding how many bags are needed? 20 = b 5 5 = 20 b b = 5 20 Mary is saving up money to go on a trip. This month, she saved three times as much money as she saved last month. Last month, she saved $ Write a multiplication equation to represent finding how much money Mary saved this month? 24 = (3)(m) 3 = (m)(24) m = (24)(3) If 18 plums are shared equally into 3 bags, then write a multiplication equation to represent finding how many plums are in each bag. p = = p = 3 p A student grew two plants for the science fair. The first plant was 8 centimeters tall. The second plant was three times as tall. Write a multiplication equation to represent finding the height of the second plant. 8 = (3)(h) 3 = (h)(8)

32 h = (8)(3) A rabbit can go 2 feet in one jump. A kangaroo can go five times as far as a rabbit. Write a multiplication equation to represent finding how far a kangaroo goes in one jump. k = (2)(5) 2 = (5)(k) 5 = (k)(2)

33 Lesson Topic: Solve multiplicative comparison word problems The shortest living man on Earth is 21 inches tall. The tallest living woman on Earth is approximately 4 times taller than the shortest man. How tall is the tallest living woman on Earth? inches The apartment rents for 3 times as much as it did 10 years ago. The apartment was $270 per month 10 years ago. How much does the apartment cost now? $ per month A student could run 2 miles. After extensive training, the student could run five times as far as she could before the training. How far can the student run now? miles Amanda has 4 books about reptiles and 12 books about mammals. How many times more books does Amanda have about mammals than about reptiles? times more books The long climbing rope is 100 feet long. The long climbing rope is ten times longer than the shorter safety rope. How many feet of rope is the shorter safety rope? feet

34 Lesson: Multistep Word Problems Lesson Topic: Estimate products Estimate by rounding both numbers to tens and then multiplying. 61 x 29 is approximately Estimate by rounding the largest number to tens and then multiplying is approximately Estimate by rounding both numbers to tens and then multiplying. 64 x 32 is approximately Estimate by rounding both numbers to hundreds and then multiplying. 281 x 391 is approximately Estimate by rounding the largest number to hundreds and then multiplying. 691 x 4 is approximately

35 Lesson Topic: Estimate quotients Estimate by rounding both numbers to tens and then divide is approximately Estimate by rounding both numbers to tens and then divide is approximately Estimate by rounding both numbers to hundreds and then divide is approximately Estimate by rounding both numbers to hundreds and then divide is approximately Estimate by rounding both numbers to hundreds and then divide is approximately

36 Lesson Topic: Estimate products word problems Tina's Beauty Salon charges $10 per haircut. If the salon has 52 visitors seeking haircuts per day, estimate how much Tina would make in a day by rounding the number of visitors to the nearest ten. $ There are 8 soccer matches per day at Greenville's annual soccer tournament, which lasts 17 days. Estimate the number of soccer matches during the tournament by rounding the larger number to the nearest ten. soccer matches All four members of the Jones family want to take a cruise with Luxury Starline. Estimate how much the family would spend if a cruise costs $3,220 per person by rounding the cost per person to the nearest thousand. $ Anna pays $120 per month for piano lessons. Estimate how much Anna pays each year for piano lessons by rounding the amount paid to the nearest hundred. $ Tony's Pizza made 36 pizzas today. If each pizza contains 12 slices, estimate how many slices of pizza Tony's Pizza Place made by rounding both numbers to the nearest ten. slices

37 Lesson Topic: Estimate quotients word problems The fourth grade class is taking a field trip. If there are 391 fourth graders and each bus seats 100 people, estimate the number of buses needed. Round the number of students to the nearest hundred. buses Ms. Keith's class has 21 students. If four people can work together on a group project, estimate the number of groups that there will be by rounding the larger number. groups Keith's bookshelf has 5 shelves. If he has 262 books, estimate the number of books he can put on each shelf by rounding the larger number to the nearest hundred. books There are 39 people on a kayaking trip. If each kayak holds 2 people, estimate how many kayaks are needed by rounding the larger number to the nearest ten. kayaks Kate has $60. If shirts cost $18.99, estimate the maximum number of shirts she can buy by rounding the price to the nearest ten. shirts

38 Lesson Topic: Solve one-step word problems review A bread recipe calls for 10 cups of flour. If a bowl already has 4 cups of flour, how many more cups need to be added to the bowl? c = cups Arthur wrote five pieces of piano music that each last 3 minutes. If Arthur wants to play all 5 pieces in a row, how long will he play for? m = minutes If you have $45 in 5 dollar bills in your pocket, how many 5 dollar bills are in your pocket? d = five dollar bills Francine walked a total distance of 15 miles in two days. If she walked a distance of 8 miles the first day, how many miles did she walk on the second day? m = 7 miles m = 6 miles m = 15 miles m = 8 miles There are 30 Halloween masks being displayed in a store window. If people buy 12 of the masks, how many masks are left? m = masks

39 Lesson Topic: Solve two-step word problems review If there are 6 egg cartons that are filled with eggs and there is a 7th egg carton that has 7 eggs, how many eggs are there in total, if each egg carton holds 12 eggs? e = eggs Two classes are combining to do a singing performance. The first class has 26 students and the second class has 22 students. If the students will then be split into four singing groups, how many students will be in each of the groups? s = students If there are 3 classrooms that each have 25 desks and there are a total of 87 students, how many more desks need to be added to a 4th classroom, that was originally empty, so that each of the students has a desk to sit in? d = desks A teacher offers her students 2 prizes when they get perfect scores on their spelling quizzes. If one of her students gets a perfect score on 5 of the quizzes and already has 4 prizes, how many prizes in total does this student have? p = prizes There are 5 strawberry boxes that are each filled with strawberries. Someone eats 5 of the strawberries. If each box holds a total of 18 strawberries, how many strawberries are left? s = strawberries

40 Lesson Topic: Solve multistep word problems with four operations There are 30 bicycles and 10 cars parked in the parking lot. Each bicycle had two wheels and each car had four wheels. How many wheels are there in total? wheels There are 20 bicycles and 10 cars parked in the parking lot. Each bicycle had two wheels and each car had four wheels. How many wheels are there in total? wheels Each baseball team has nine players and each football team has eleven players. Six schools have both baseball and football teams. Four schools have only a baseball team. How many players are there for all ten schools? players Each baseball team has nine players and each football team has eleven players. Five schools have both baseball and football teams. Three schools have only a baseball team. How many players are there for all eight schools? players Robins eat 16 worms in the morning on an average sunny day. On rainy days, robins average 4 fewer worms in a morning. Last week, there were 3 sunny days and 4 rainy days. How many worms did a robin eat that week? worms

41 Lesson Topic: Represent multistep word problems with variable equations A train has 6 passenger cars and each car has 4 columns of seats and each column holds 50 passengers. If one of the cars has 25 empty seats, and the rest of the cars are full, how many passengers are on the train? Which of the following sets of equations correctly represents this situation? Number of seats per car: 4 50 = 200 Total number of seats: = 194 Number of passengers: = p Number of seats per car: 6 50 = 300 Total number of seats: = 75 Number of passengers: = p Number of seats per car: 4 50 = 200 Total number of seats: = 1,200 Number of passengers: 1, = p Number of seats per car: 6 50 = 300 Total number of seats: = 75 Number of passengers: = p Kasey is building 5 wooden cabinets. Each cabinet needs 7 pieces of wood and each piece of wood needs 6 nails. If Kasey already has 55 nails, how many more nails does she need to buy?

42 Which of the following sets of equations correctly represents this situation? Number of nails for one cabinet: 7 6 = 42 Number of nails for 5 cabinets: 42 5 = 210 Nails needed: = n Number of nails for one cabinet: = 13 Number of nails for 5 cabinets: 13 5 = 65 Nails needed: = n Number of nails for one cabinet: = 13 Number of nails for 5 cabinets: 13 5 = 65 Nails needed: = n Number of nails for one cabinet: 7 6 = 42 Number of nails for 5 cabinets: 42 5 = 210 Nails needed: = n A train has 3 passenger cars and each car has 4 columns of seats and each column holds 40 passengers. If one of the cars has 15 people standing in addition to all of the sitting passengers, and the rest of the cars are full without anyone standing, how many passengers are on the train? Which of the following sets of equations correctly represents this situation?

43 Number of seats per car: 4 40 = 160 Total number of seats: = 480 Number of passengers: = p Number of seats per car: 40 4 = 10 Total number of seats: 10 3 = 30 Number of passengers: = p Number of seats per car: 40 4 = 10 Total number of seats: 10 3 = 30 Number of passengers: = p Number of seats per car: 4 40 = 160 Total number of seats: = 480 Number of passengers: = p Pamela is building a 2 wooden decks. Each deck needs 25 pieces of wood and each piece of wood needs 8 screws. If Pamela already has 40 screws, how many more screws does she need to buy? Which of the following sets of equations correctly represents this situation?

44 Number of screws for one deck: 25 8 = 200 Number of screws for both decks: = 400 Screws needed: = s Number of screws for one deck: 40 8 = 320 Number of screws for both decks: = 640 Screws needed: = s Number of screws for one deck: 40 8 = 320 Number of screws for both decks: = 160 Screws needed: = s Number of screws for one deck: 25 8 = 200 Number of screws for both decks: = 100 Screws needed: = s Which information is given in the problem? Check all that are true.

45 A 12-pack has 6 colas. It's Jimmy's birthday. How many cans of soda did Jimmy buy? Jimmy bought four 6-packs of cola. Jimmy bought five 12-packs of root beer.

46 Lesson Topic: Solve multistep word problems with variable equations If there are 60 seconds in an minute, 60 minutes in an hour, 24 hours in a day, and 7 days in a week, how many seconds are in a week? Hint: Use a calculator to solve this problem. seconds in a week Which information is given in the problem? Check all that are true. A pound of grapes costs $3. A total of $21 was spent on fruit. A pound of mangoes costs $4. You bought 3 pounds of mangoes. You bought 3 pounds of grapes. James and Kelly have $10 to spend at a grocery store. If they get 3 avocados which cost $1 each, 4 tomatoes which cost a total of $2 for all 4, and two loaves of bread which cost $2 each, how much change will James and Kelly receive after their purchase? $ Candice is learning to hula hoop. She starts out with 1 hula hoop and adds another. She then adds another 3 hula hoops. She then triples the number of hula hoops she is using. She then doubles that number of hula hoops. How many hula hoops is she now hula hooping with?

47 hula hoops What piece of information do we want to know? You bought 3 pounds of mangoes. A pound of grapes costs $3. A total of $21 was spent on fruit. How many pounds of grapes you bought. A pound of mangoes costs $4.

48 Lesson Topic: Assess the reasonableness of answers using rounding and mental computation 5 There are 5 classes with 29 students per class and 5 teachers ordering pizza. One pizza feeds 5 people. Which of the following is a good estimation of how many pizzas are needed? 26 pizzas 31 pizzas 36 pizzas 41 pizzas 46 pizzas You have a bag of 130 strawberries. You eat 27 strawberries and then split the remaining strawberries between 4 friends. Which of the following is a good estimation of how many strawberries each of your friends get? A bicyclist was on a three day tour around a lake. On the first day, he rode 78 miles, on the second day he rode 54 miles, and on the third day he rode twice as far as the second day. Which of the following is a good estimation of how far he rode in the three days? 190 miles 230 miles 270 miles

49 310 miles 350 miles Carl wants to put up a glow-in-the-dark sticker display on his bedroom ceiling. He needs a gallon of black paint which costs $12. The stickers cost $18 per package and he wants to buy 2 packages. Which of the following is a good estimation of how much change Carl will get back if he gives the cashier $60? $0 $10 $20 $30 $40 Tony is making chocolate covered strawberries for his birthday party. There will be 19 friends and 18 family members, including Tony, at the party. Each person should get 2 strawberries. Which of the following is a good estimation of the total number of cups of chocolate needed if one cup of chocolate will cover 20 strawberries? 1 cup of chocolate 4 cups of chocolate 7 cups of chocolate 10 cups of chocolate 13 cups of chocolate

50 Lesson Topic: Assess the reasonableness of answers using rounding and mental computation 6 You're going to the store to pick up some milk and cereal and want to know how much cash to bring. You remember last time you went to the store, milk cost $3 and cereal cost $4. Should you estimate or find an exact amount of money to bring to the store? Exact Estimate You go to a store to pick up milk and cereal. You see that the milk costs $4 and the cereal costs $5. Should you estimate or use the exact amount of money to pay at the cash register? Estimate Exact Your teacher asks your class to add the numbers 153 and 167. Should you answer with an estimate or an exact answer? Exact Estimate You are at a restaurant and you remember the prices on the menu, but you can't quite figure out how much everything will cost with the tax. Should you estimate or calculate the exact amount of money you need to pay before the bill comes to the table? Exact Estimate Elizabeth went to an orchard to pick apples. She picked a total of 23 apples and wants to separate them into 4 bags. Elizabeth wants to estimate how many apples will be in each bag. What is a good estimate for 23 to make it easily divided by 4? 27

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52 Lesson Topic: One step word problems with remainders (left over/discard left over) If it takes 5 cups of flour to make a batch of cupcakes, how many batches of cupcakes can you make with 31 cups of flour? Number of batches of cupcakes that can be made: Tina and Tracey are putting 70 things from their present lives into a few boxes, and then they are going to bury the boxes so they can dig them up in the future. If each box can hold 30 things, how many boxes will they fill and how many things will not make it into a box? Number of full boxes: Things left over: There are 15 sharks that were collected for a new aquarium display. If a tank can hold no more than 4 sharks, how many tanks will be at their shark limit and how many sharks will be left over? Number of full tanks: Sharks left over: 14 4 = R There are 15 people who want to go through a corn maze. If 10 people are allowed in the corn maze at any one time, how many people need to wait before they get to go in?

53 Number of people who have to wait to go in the corn maze:

54 Lesson Topic: One step word problems with remainders (round up) There are 23 students that are riding in cars for a field trip. If a car can carry 4 students, how many cars are necessary to take all of the students? cars If a chairlift at a ski resort holds 4 people, how many chairs are necessary to carry a group of 25 people to the top of the mountain? chairs There are 38 eggs that need to be put away in egg cartons that hold 6 eggs each. How many egg cartons are necessary to put away all of the eggs? egg cartons There are going to be presentations at a school. If 40 people can fit in a room, how many rooms are necessary if there are a total of 90 people going to the presentations? rooms There are going to be presentations at a school. If 30 people can fit in a room, how many rooms are necessary if there are a total of 40 people going to the presentations? rooms

55 Lesson Topic: One step word problems with remainders (round up and down) There are 212 Lego pieces that are going to be divided between 3 people. Which of the following best describes how the people can most evenly divide the Lego pieces? Two people will get 71 pieces each. One person will get 70 pieces. Two people will get 72 pieces each. One person will get 71 pieces. Two people will get 70 pieces each. One person will get 71 pieces. Two people will get 71 pieces each. One person will get 72 pieces. A boy and his younger sister are at the arcade but they only have enough money for one game of skee ball. If they get to play 9 balls, which of the following best describes how the girl and her brother might share the balls? The boy gets to play 5 balls. The younger sister gets to play 6 balls. The boy gets to play 3 balls. The younger sister gets to play 4 balls. The boy gets to play 5 balls. The younger sister gets to play 5 balls. The boy gets to play 4 balls. The younger sister gets to play 5 balls. A group of 5 friends all want to share their favorite books with each other. If there are a total of 19 books brought to share, which of the following best describes how the friends can most evenly divide the books? 4 friends will borrow 3 books each 1 friend will borrow 4 books

56 4 friends will borrow 5 books each 1 friend will borrow 4 books 4 friends will borrow 4 books each 1 friend will borrow 3 books 4 friends will borrow 4 books each 1 friend will borrow 5 books There are 9 friends playing a card game in which all of the 52 cards in a standard deck are distributed to the players. How many cards does each person get? 2 friends get 5 cards each 7 friends get 4 cards each 2 friends get 6 cards each 7 friends get 5 cards each 7 friends get 6 cards each 2 friends get 5 cards each 7 friends get 5 cards each 2 friends get 4 cards each There are 10 friends who are going to have a water fight with 89 water balloons. Which of the following best describes how many water balloons each person gets if they are divided as evenly as possible? 9 friends will have 8 water balloons each 1 friend will have 7 water balloons 9 friends will have 9 water balloons each 1 friend will have 8 water balloons 9 friends will have 8 water balloons each 1 friend will have 9 water balloons 8 friends will have 9 water balloons each 2 friends will have 8 water balloons each

57 Lesson Topic: One step word problems with remainders (fractions) There are 12 pieces of pie that are going to be split between 5 people. How many slices of pie does each person get? Choose the correct answer from the choices below pieces of pie per person pieces of pie per person pieces of pie per person pieces of pie per person pieces of pie per person There are 25 gummy worms that 3 friends are going to split. How many gummy worms does each friend get? Choose the correct answer from the choices below gummy worms per friend gummy worms per friend gummy worms per friend gummy worms per friend gummy worms per friend Two people bought a 13-inch sandwich to share. How many inches of sandwich does each person get if they split it evenly? Choose the correct answer from the choices below inches of sandwich per person inches of sandwich per person inches of sandwich per person

58 5 3 4 inches of sandwich per person inches of sandwich per person Joseph has 3 hours to do his 2 homework assignments. How many hours does he have to do each assignment? Choose the correct answer from the choices below hours per homework assignment 1 hour per homework assignment hours per homework assignment hours per homework assignment 3 4 hours per homework assignment There are 16 apples that will be cut and divided evenly between 3 pies. How many apples go into each pie? Choose the correct answer from the choices below apples per pie 6 apples per pie apples per pie apples per pie 5 apples per pie

59 Lesson Topic: Two-step word problems with remainders There are 4 pizzas which each have 12 slices. These pizzas will be divided between 15 people. How many slices does each person get if they are split evenly? Choose the correct answer from the choices below There are 5 kids who want to start a game of Red Rover. Then 12 more kids come to play. If there are 2 teams in Red Rover, which of the following best describes how many kids will be on each team? One team will have 7 kids One team will have 8 kids One team will have 10 kids One team will have 11 kids One team will have 9 kids One team will have 10 kids One team will have 8 kids One team will have 9 kids You can bake 20 cookies on a baking sheet. You bake 4 baking sheets of cookies. If a box of cookies holds 12 cookies, how many full boxes of cookies can you make?

60 Number of full boxes of cookies: There are two boxes of Lego pieces. One box has 200 pieces and the other box has 115 pieces. Which of the following best describes how 4 people will divide the Lego pieces as evenly as possible? Three people will get 77 pieces One person will get 76 pieces Three people will get 78 pieces One person will get 77 pieces Three people will get 79 pieces One person will get 78 pieces Three people will get 76 pieces One person will get 75 pieces Victoria searched her house for quarters. She started with 17 quarters and found 6 more quarters. She then goes to the arcade. If a game costs 2 quarters to play, how many games can she play and how many quarters are left over? Victoria can play times and there will be quarters left over.