Download [PDF] Grade 4 Unit 03 Multiplication Division-Number Sentences Algebra Everyday Mathematics

File Information

Filename:	[PDF] Grade 4 Unit 03 Multiplication Division-Number Sentences Algebra Everyday Mathematics.pdf
Filesize:	783.01 KB
Uploaded:	14/08/2021 15:52:26
Keywords:	grade 4 unit 03 multiplication division number sentences algebra everyday mathematics pdf
Description:	Download file or read online everyday mathematics unit 03 multiplication division-number sentences algebra grade 4 - The University of Chicago School Mathematics Project.
Downloads:	1

File Preview

Download Urls

Short Page Link

https://www.edufilestorage.com/3n9

Full Page Link

https://www.edufilestorage.com/3n9/PDF_Grade_4_Unit_03_Multiplication_Division-Number_Sentences_Algebra_Everyday_Mathematics.pdf

HTML Code

<a href="https://www.edufilestorage.com/3n9/PDF_Grade_4_Unit_03_Multiplication_Division-Number_Sentences_Algebra_Everyday_Mathematics.pdf" target="_blank" title="Download from eduFileStorage.com"><img src="https://www.edufilestorage.com/cache/plugins/filepreviewer/2967/pdf/150x190_middle_46f4e7862b1eb5bd4935adbbba5d79e8.jpg"/></a>

Forum Code

[url=https://www.edufilestorage.com/3n9/PDF_Grade_4_Unit_03_Multiplication_Division-Number_Sentences_Algebra_Everyday_Mathematics.pdf][img]https://www.edufilestorage.com/cache/plugins/filepreviewer/2967/pdf/150x190_middle_46f4e7862b1eb5bd4935adbbba5d79e8.jpg[/img][/url]

[PDF] Grade 4 Unit 03 Multiplication Division-Number Sentences Algebra Everyday Mathematics.pdf | Plain Text

STUDY LINK 31 “What’s My Rule?” Copyright © Wright Group/McGraw-Hill 72 162–166 Name Date Time Complete the “What’s My Rule?” tables and state the rules. 1. 2. 3. Rule: 4. Rule: 5. Rule: There are 20 nickels in $1.00. 6. Create your own. Rule: Try This 7. 47 68 8. 359 253  9. 787 653  Practice in out 20 190 70 240 330 in out 50 20 250 180 330 in out 131 177 80 104 150 629 100 in out 70 490 63 350 20 140 60 dollars nickels 360 40 5 100 20 100 in out Rule out in Add 40 Rule out in 60

LESSON 31 Name Date Time “What’s My Rule?” Polygon Sides 73 162–166 1. Use square pattern blocks to help you complete the table. 2. Suppose there are 12 squares. Explain how to find the number of sides without counting. 3. Use triangle pattern blocks to help you complete the table. 4. Suppose there are 30 sides. Explain how to find the number of triangles without counting. Number of Number of Squares Sides 1 4 2 8 3 5 7 8 Number of Number of Triangles Sides 1 3 2 6 15 12 9 18 Copyright © Wright Group/McGraw-Hill

LESSON 31 Name Date Time “What’s My Rule?” Perimeter 74 Copyright © Wright Group/McGraw-Hill 2. Complete the “What’s My Rule?” table. Use square pattern blocks to create the shapes. 3. Explain the rule for finding the perimeter of the shapes. The distance around a shape is called its perimeter.The perimeter of a square pattern block is 4 inches. 1 in. 1 in. 1 in. 1 in. 1. Place 2 square pattern blocks side by side. What is the perimeter of the shape? inches 1 1 1 1  4 Number of Square Perimeter of Pattern Blocks Shape (inches) 14 2 3 4 5 6 7 8 4. Use your rule to complete the following: 214 square pattern blocks are placed side by side. What is the perimeter of the shape? inches Try This 5. Use words or symbols to explain the rule for finding the perimeter of shapes made by placing hexagon pattern blocks side by side. 162–166 131

STUDY LINK 3 2 Multiplication Facts 16 20 Name Date Time Copyright © Wright Group/McGraw-Hill 1 6 2 7 8 9 3 39 4 8 5 6 14 101 2345678910 º , / 1. Complete the Multiplication/Division Facts Table below. 2. List all the factorsof 36. 3. List the factor pairsof 16. and , and ,and 4. Name the productof 8 and 7. 5. Name four multiplesof 4. ,,, Practice 6. 91 38 7. 630 242 8. 1,462 697  75 75

LESSON 32 Name Date Time Rectangular Arrays 76 Copyright © Wright Group/McGraw-Hill 7 Rectangular arrays can be used to model multiplication facts. Follow these steps to build arrays with centimeter cubes. 1. Place a deck of number cards (110) facedown on the table. Turn over 2 cards. ◆ Use one card for the number of rows in the array. ◆ Use the other card for the number of cubes in each row. 2. Use centimeter cubes to build the array. Example: If and are turned over, you can make either array: 3. Record some of the arrays you made in the table below. 2 2 4 4 2 rows, 4 cubes per row4 rows, 2 cubes per row How many How many cubes How many Number rows? in each row? cubes in all? model 42 84º 2 8

LESSON 32 Name Date Time Prime Numbers 77 Copyright © Wright Group/McGraw-Hill 7 A rectangular array shows two factors of a number. 1. On centimeter grid paper, draw as many 2. Write a number model arrays as you can for each of the for each array and its following numbers: turn-around fact. 2, 3, 4, 5, 6, 7, 11, 12, 15, 16 Example:Two different arrays can be made for 8. 1, 2, 4, and 8 are factors of 8. 2  4  8 4  2  8 8 1 8 1 8  8 4. The numbers you listed in the left-hand column are called prime numbers.Use the data you collected to write a definition for prime numbers. Numbers with Numbers with Only 1 Array More than 1 Array 8 5. There are 20 other prime numbers that are less than 100. List them below. Try This 3. Record your results in the table.

STUDY LINK 33 Fact Triangles Copyright © Wright Group/McGraw-Hill 78 Name Date Time Complete these Multiplication/Division Fact Triangles. • 38  , • 96  , • 47  , • 82  , • 59  , • 63  , • 410  , • 55  , • 68  , Practice 10. Name 4 multiples of 7. ,,, 11. List all the factors of 18. 12. Name the product of 9 and 6. 13. List all the factor pairs of 20. and ,and ,and 4. 5. 6. 7. 8. 9. 1. 2. 3. 16

LESSON 33 Name Date Time Skip-Count Patterns 79 Copyright © Wright Group/McGraw-Hill 1. Start at 0. Skip count by 2s. 2. Start at 0. Skip count by 3s. Record the pattern. Record the pattern. 3. Start at 0. Skip count by 4s. 4. Start at 0. Skip count by 6s. Record the pattern. Record the pattern. 5. On the back of this page, write about the skip-count patterns you see in each grid. 0 3 100 99 98 97 96 95 94 93 92 9190 89 88 87 86 85 84 83 82 8180 79 78 77 76 75 74 73 72 7170 69 68 67 66 65 64 63 62 6160 59 58 57 56 55 54 53 52 5150 49 48 47 46 45 44 43 42 4140 39 38 37 36 35 34 33 32 3130 29 28 27 26 25 24 23 22 2120 19 18 17 16 15 14 13 12 1110 9 8 7 6 5 4 2 1 0 3 100 99 98 97 96 95 94 93 92 9190 89 88 87 86 85 84 83 82 8180 79 78 77 76 75 74 73 72 7170 69 68 67 66 65 64 63 62 6160 59 58 57 56 55 54 53 52 5150 49 48 47 46 45 44 43 42 4140 39 38 37 36 35 34 33 32 3130 29 28 27 26 25 24 23 22 2120 19 18 17 16 15 14 13 12 1110 9 8 7 6 5 4 2 1 0 3 100 99 98 97 96 95 94 93 92 9190 89 88 87 86 85 84 83 82 8180 79 78 77 76 75 74 73 72 7170 69 68 67 66 65 64 63 62 6160 59 58 57 56 55 54 53 52 5150 49 48 47 46 45 44 43 42 4140 39 38 37 36 35 34 33 32 3130 29 28 27 26 25 24 23 22 2120 19 18 17 16 15 14 13 12 1110 9 8 7 6 5 4 2 1 0 3 100 99 98 97 96 95 94 93 92 9190 89 88 87 86 85 84 83 82 8180 79 78 77 76 75 74 73 72 7170 69 68 67 66 65 64 63 62 6160 59 58 57 56 55 54 53 52 5150 49 48 47 46 45 44 43 42 4140 39 38 37 36 35 34 33 32 3130 29 28 27 26 25 24 23 22 2120 19 18 17 16 15 14 13 12 1110 9 8 7 6 5 4 2 1 16

LESSON 3 3 Name Date Time Calculating Combinations 80 Copyright © Wright Group/McGraw-Hill Super Sweet sells ice-cream sundaes. Each sundae comes with one scoop of ice cream and one topping. 1. How many differentsundaes that have one scoop of ice cream and one topping can Super Sweet sell? sundaes Use an organized list, table, or picture to solve the problem. Show your work. Ice-Cream Flavors Toppings chocolate hot fudge vanilla whipped cream strawberry sprinkles cookie dough nuts fudge swirl 2. Super Sweet has decided to add butterscotch to the list of available toppings. How many differentsundaes can Super Sweet sell now? sundaes Explain how you found your answer. 3. Explain how you might use multiplication to solve a problem like this.

LESSON 34 Name Date Time Math Message 81 Copyright © Wright Group/McGraw-Hill Name Date Ms. Chen’s students took their first 50-facts test. These are their scores for the first minute of the test. 26%, 8%, 36%, 18%, 18%, 20%, 40%, 10%, 22% 1. What is the median score? % 2. What is the mean score? % Name Date Ms. Chen’s students took their first 50-facts test. These are their scores for the first minute of the test. 26%, 8%, 36%, 18%, 18%, 20%, 40%, 10%, 22% 1. What is the median score? % 2. What is the mean score? % Name Date Ms. Chen’s students took their first 50-facts test. These are their scores for the first minute of the test. 26%, 8%, 36%, 18%, 18%, 20%, 40%, 10%, 22% 1. What is the median score? % 2. What is the mean score? % Name Date Ms. Chen’s students took their first 50-facts test. These are their scores for the first minute of the test. 26%, 8%, 36%, 18%, 18%, 20%, 40%, 10%, 22% 1. What is the median score? % 2. What is the mean score? %

STUDY LINK 3 4 Mystery Numbers Copyright © Wright Group/McGraw-Hill 82 16 Name Date Time Find the mystery numbers. 1. I am thinking of a mystery number. If I multiply it by 4, the answer is 24. What is the number? 2. I am thinking of another number. If I multiply it by 3, the answer is 24. What is the number? 3. I multiplied a number by itself and got 36. What is the number? 4. If I multiply 7 by a number, I get 21. What is the number? 5. Write your own mystery number problem. Fill in the missing numbers. 6. 4 º 5 º 4 20 7. 6 º 3 18 º 3 8. 7 º 7 º 7 49 9. º 2 18 18 º 9 10. 35 º 5 º 7 35 11. 28 º 4 º 7 28 12. Name 4 multiples of 5. , , , 13. List all the factors of 24. Practice

LESSON 34 Name Date Time Find the Mean 83 Copyright © Wright Group/McGraw-Hill 75 The table shows the number of books in several students’ backpacks. Student John Mito Kate Ezra Lina Luz Nick Number of Books 5264013 1. Place centimeter cubes on the bar graph below to show the number of books in each student’s backpack. 2. Now move the cubes around so that all of the students have the same number of books. How many books are in each student’s backpack now? books When you “even out” the number of books so that each student’s backpack has the same number of books, you are finding the meanor the average of the data set. 3. Complete the statement. The mean, or average, number of books in the students’ backpacks is . John Mito Kate Ezra Lina Luz Nick 0 1 2 3 4 5 6 Number of Books Books in Backpacks Students

LESSON 3 4 Name Date Time Compare the Mean and Median 84 Copyright © Wright Group/McGraw-Hill 73 75 Imagine that you are given a chance to play for a professional baseball team. Before you meet the owner, you will need to think about your salary demands. Below is a list of some 2004 New York Yankees players’ salaries. 1. Would you want your salary to be based on the mean or the median of these players’ salaries? Explain your answer. 2. When news organizations report the salaries of professional teams, they usually use the median. Why do you think they report the median instead of the mean? 3. If you were an owner of a team, would you rather report your players’ mean or median salaries? Explain your answer. Player Salary Brown, Kevin $15,714,286 Cairo, Miguel $900,000 Clark, Tony $750,000 Flaherty, John $775,000 Giambi, Jason $12,428,571 Gordon, Tom $3,500,000 Jeter, Derek $18,600,000 Source: USA Today Salary Database Player Salary Lofton, Kenny $3,100,000 Matsui, Hideki $7,000,000 Posada, Jorge $9,000,000 Rodriguez, Alex $22,000,000 Sierra, Ruben $1,000,000 Wilson, Enrique $700,000

STUDY LINK 35 Missing Numbers 85 16 20 Name Date Time Copyright © Wright Group/McGraw-Hill Complete each fact by filling in the missing numbers. Use the Multiplication/Division Facts Table to help you. 1. 30 / 6  2. 21 / 3 3. 9  8 4. 100 / 10 5. / 4 8 6. 25  7. 42 / 8. 8 /  9. 4 / 10. 1 11. / 2  12. 10 º  Try This 13. 5 º º 30 14. 54 º º 12 3 ,12345678910 45678 910 24 68 7 8 9 101032 40 48 56 36 45 54 63 72 40 50 60 70 80 90 369 4 8 12 16 510 152025 1 2 7 8 9 3 4 5 661218243036 14 21 28 35 42 49 16 24 18 27 20 3064 81 100 º / 10 12 14 16 18 20 12 15 18 21 24 27 30 20 24 28 32 36 40 30 35 40 45 50 42 48 54 60 56 63 70 72 80 90 15.  989 657 16. 314 4,719  17. 887 598  18.  2,004 716 Practice

LESSON 35 Name Date Time Fractions and Division 86 Copyright © Wright Group/McGraw-Hill Copyright © Wright Group/McGraw-Hill Four friends want to share 3 pizzas evenly. Each person cannot have a whole pizza, so the pizzas need to be divided. 1. How many slices of pizza should each person get? slices. Use a drawing to explain your answer. 2. Marisa says these expressions all mean the same thing: 1 4of 3 3 4 3 443  Do you agree or disagree? Explain your answer. 46 LESSON 35 Name Date Time Fractions and Division Four friends want to share 3 pizzas evenly. Each person cannot have a whole pizza, so the pizzas need to be divided. 1. How many slices of pizza should each person get? slices. Use a drawing to explain your answer. 2. Marisa says these expressions all mean the same thing: 1 4of 3 3 4 3 443  Do you agree or disagree? Explain your answer. 46

STUDY LINK 3 6 Number Stories about Egypt 87 Name Date Time Copyright © Wright Group/McGraw-Hill 1. The Nile in Africa is about 4,160 miles long. The Huang River in Asia is about 800 miles shorter than the Nile. How long is the Huang River? Number model: About miles 2. The Suez Canal links the Mediterranean and Red Seas. It is 103 miles long and was opened in 1869. For how many years has the Suez Canal been open? Number model: years 3. Egypt has about 3,079 miles of railroad. The United States has about 132,000 miles of railroad. How many fewer miles of railroad does Egypt have than the United States? Number model: About miles 4. The population of Cairo, the capital of Egypt, is about 10,834,000. The population of Washington, D.C., is about 563,000. a. True or false? About 10 1 2million more people live in Cairo than in Washington, D.C. b. Explain how you solved the problem. Try This 5. The area of Egypt is about 386,700 square miles. The area of Wyoming is about 97,818 square miles. a. Egypt is about how many times as large as Wyoming? b. Explain how you solved the problem. 6. List all the factors of 12. 7. Name 4 multiples of 8. ,,, Practice

STUDY LINK 3 7 Map Scale Copyright © Wright Group/McGraw-Hill 88 145 Name Date Time Here is a map of South Africa. Use a ruler to measure the shortest distance between cities. Measure to the nearest 1 4inch. Use the map scale to convert these measurements to real distances. 0 100 1 inch represents 200 miles200 mi Pretoria Johannesburg Durban Queenstown Cape of Good HopeCape TownEast London Upington LESOTHO SOUTH AFRICA Bloenfontein CitiesMeasurement Real Distance on Map (inches) (miles) 1.Cape Town and Durban 2.Durban and Pretoria 3.Cape Town and Johannesburg 4.Johannesburg and Queenstown 5.East London and Upington 6._____________ and _____________ 7. 767 254 8. 193 6,978  9. 562 388  10. 4,273 678 Practice

Name Date Time 89 Copyright © Wright Group/McGraw-Hill LESSON 3 7 Measure Line Segments 128 Sometimes you do not need an exact measurement. Measuring to the nearest 1 2inch might be good enough. Cut out the ruler at the bottom of the page. Use it to measure the line segments to the nearest 1 2inch. Record your measurements. 1. Think:Is the measure of the line segment closer to 4 inches or 4 1 2inches? About in. 2. Think:Is the measure of the line segment closer to 2 inches or 2 1 2inches? About in. 3. Think:Is the measure of the line segment closer to 3 1 2inches or 4 inches? About in. 4. Allison and Marta measured the line segment below to the nearest 1 2inch. Allison said, “The line segment measures about 5 1 2inches.” Marta said, “I think it measures about 6 inches.” Who do you agree with? Explain your answer. 5. On the back of this page, draw several line segments. Use your ruler to measure them to the nearest 1 2inch. Record your measurements. 1 0 23456 Inches (in.) 1 2

Name Date Time 90 Copyright © Wright Group/McGraw-Hill 5. A cartographeris a person who makes maps. a. Give an example of a map scale that would show very little detail. → b. Explain your answer. Try This LESSON 3 7 Compare Map Scales 145 Different maps use different scales. On one map, 1 inch might represent 10 actual miles, but on another map, 1 inch might represent 100 miles. 1. Record the globe scale you used in Lesson 3-7. 1 inch →miles 2. Locate the maps on pages 282293in your Student Reference Book. Record the map scale for each region. a. Region 1: Africa 1 in. →miles b. Region 2: Europe 1 in. →miles c. Region 3: South America 1 in. →miles d. Region 4: Asia 1 in. →miles 3. Do you think changing a map scale changes actual distances? Explain your answer. 4. Complete the table below to justify your answer to Problem 3. Measure to the nearest 1 2inch. DistanceMeasurement Air Distance Measurement Air Distance Betweenon Globe (miles) on Region 3 (miles) (inches) Map (inches) Bogotá, Colombia, and Brasilia, Brazil Quito, Ecuador, and Sucre, Bolivia

91 Name Date Time Copyright © Wright Group/McGraw-Hill STUDY LINK 3 8 Addition and Subtraction Number Stories 153 1. In 1896, the United Kingdom had the largest navy in the world with 659 ships. France had the second-largest navy with 457 ships. The United States was tenth with only 95 ships. How many more ships did the United Kingdom have than France? Answer:more ships (number model) 2. Rhode Island, the smallest state in the United States, has an area of 1,545 square miles. The area of the second-smallest state, Delaware, is 2,489 square miles. What is the combined area of these two states? Answer:square miles (number model) 3. A polar bear can weigh as much as 700 kilograms. An American black bear can weigh as much as 227 kilograms. How much more can a polar bear weigh than an American black bear? Answer:kilograms more (number model) 4. The Pacific leatherback turtle’s maximum weight is about 1,552 pounds. The Atlantic leatherback turtle’s maximum weight is about 1,018 pounds. What is the difference between the turtles’ weights? Answer:pounds (number model) 5. According to the National Register of Historic Places, New York City has the most historic places in the United States with 624 sites. Philadelphia is second with 470 sites, and Washington, D.C., is third with 336 sites. How many historic sites are there in these three cities? Answer:historic sites (number model) Practice 6. The numbers 81, 27, and 45 are multiples of . 7. List the first ten multiples of 6. , , , , , , , , ,

Name Date Time 92 Copyright © Wright Group/McGraw-Hill LESSON 3 8 Situation Diagrams 152 178 Situation diagrams can help you organize the information in a number story and can help you decide what to do to solve the problem. Decide which diagram to use for each problem. Complete the diagram. Then solve the problem. 1. 283 students attended the football game. 371 students attended the soccer game. How many more students attended the soccer game? students 2. Shawn had $145.00 in his bank account. He took out some money to buy a new bike. Now he has $85.00 in his account. How much did his bike cost? 3. Aldo bought milk for 55 cents and a peanut butter and jelly sandwich for $1.25. How much money did he spend? Quantity Quantity Difference Start EndChange Quantity Quantity Difference Start EndChange Quantity Quantity Difference Start EndChange

Name Date Time 93 Copyright © Wright Group/McGraw-Hill LESSON 3 8 The Great Pyramid and the Gateway Arch reducing its height by about 9 meters. 192 meters tall. Great Pyramid of Giza Gateway Arch The Great Pyramid of Giza is perhaps the greatest structure ever built by humans. It stands in the desert near Cairo, Egypt. Completed about 2580 B.C., it was the tomb of Pharaoh (king) Khufu. It is estimated that 100,000 workers labored more than 20 years to build the Great Pyramid. It contains more than 2 million stone blocks with an average weight of about 2 1 2tons each. Over the years, stones were removed from its surface, The Great Pyramid was the tallest structure in the world for 44 centuries, until the Eiffel Tower was built in Paris in 1889. Today the tallest monument in the United States is the Gateway Arch, also known as the Jefferson National Expansion Memorial, in St. Louis, Missouri. The Gateway Arch was completed in 1965 and is about 1. How much taller is the Gateway Arch than the Great Pyramid? About meters 2. Underline the information in the essay that you used to solve Problem 1. 3. Use data from the essay above to write your own problem. Ask a partner to solve it. Originally the Great Pyramid was about 147 meters tall.

Copyright © Wright Group/McGraw-Hill 94 Name Date Time STUDY LINK 3 9 148 Next to each number sentence, write T if it is true, F if it is false, or ? if you can’t tell. 1. 20 12 8 º 3 2. 7 14 º 2 3. 497 500 4. 16 / 4 4 5. 15 10 5 6. 24 11 11 7. 100 5 95 8. 33 4 9. Write two true number sentences. 10. Write two false number sentences. 11. a. Explain why 7 º 8 is not a number sentence. b. How could you change 7 º 8 to make a true number sentence? c. How could you change 7 º 8 to make a false number sentence? Practice 12. 24, ,48, ,72, Rule: 13. ,108, 162, ,270, Rule: Number Sentences

Name Date Time 95 Copyright © Wright Group/McGraw-Hill LESSON 3 9 > and < Symbols Different symbols are used to show that numbers and amounts are not equal. Example: means “is greater than”means “is less than” Below are some ways to help you remember these symbols. Try each one. 13. What is your favorite way to remember the and symbols? Pick one from above, or tell about your own idea. 9. 34,783 34,239 10. 11 6 12 8 11. 12,000 7,000 18,000 9,000 12. 36 / 9 25 / 5 5. 13,009 13,053 6. 8 8 9 6 7. 500 800 700 700 8. 5 10 9 7 1. 3,568 3,896 2. 7 6 9 8 3. 600 900 700  300 4. 7 6 5 8 The alligator eats the bigger number. The less-than symbol looks like the fingers and thumb on your left hand. The words leftand lessstart with the same letter. The less-than symbol points to the lesser number. 5 > 2 2 < 5 Mark two dots next to the greater number. Mark one dot next to the lesser number. Connect each of the two dots to the single dot, and the symbol will be correct. 6

96 Copyright © Wright Group/McGraw-Hill Name Date Time LESSON 3 9 A Number-Sentence Puzzle 1. Cut out the number tiles at the bottom of the page. Tape them in the number sentences below so that ◆ each number sentence is true, ◆ the same digit appears only one time in each row, and ◆ the same digit appears only one time in each column. 2. Explain the strategy you used to solve this problem. 149 º º º  º º º 2 42 42 43 63 63 6

97 STUDY LINK 3 10 Parentheses in Number Sentences Name Date Time Copyright © Wright Group/McGraw-Hill Write the missing number to make each number sentence true. 1. (45 / 5) 3  2. 9 (4 6)  3. (20 4) 5  4. (33 25) 3 5. (25 / 5) (8 4) 6. (33 7) / (3 2)  Insert parentheses ( ) to make each number sentence true. 7. 3 6 4 30 8. 15 20 / 4 10 9. 7 7 3 4 7 10. 9 6 20 7 2 Try This Practice Insert two sets of parentheses to make each number sentence true. 11. 72 9 2 3 18 9 12. 35 42 6 10 6 1 Write T if it is true, F if it is false, or ? if you can’t tell. 13. (6 5) / 3 14. (3 7) / (15 12) 15. 30 1 (4 6) 16. (4 6) 13 47 10 17. 15 (7 6) (10 9) 18. 20 (64 8) (12 4) 19. 494  3,769 20. 5,853 4,268  21. 8,210 654 22. 7,235 906  150

LESSON 3 10 Name Date Time Number Models with Parentheses 98 Copyright © Wright Group/McGraw-Hill Copyright © Wright Group/McGraw-Hill Joel and his parents were buying treats for his birthday party. He asked his mother and father, “How much is 6 plus 6 times 3?” His mother said “36,” and his father said “24.” 1. How did his mother get 36? 2. How did his father get 24? Joel’s parents both thought their answers were correct. Finally Joel said, “I want to buy 1 six-pack of vanilla cupcakes and 3 six-packs of chocolate cupcakes.” Then Joel’s parents knew whose answer made more sense. 3. Which answer, 36 or 24, makes more sense in this situation? Explain. LESSON 3 10 Name Date Time Number Models with Parentheses Joel and his parents were buying treats for his birthday party. He asked his mother and father, “How much is 6 plus 6 times 3?” His mother said “36,” and his father said “24.” 1. How did his mother get 36? 2. How did his father get 24? Joel’s parents both thought their answers were correct. Finally Joel said, “I want to buy 1 six-pack of vanilla cupcakes and 3 six-packs of chocolate cupcakes.” Then Joel’s parents knew whose answer made more sense. 3. Which answer, 36 or 24, makes more sense in this situation? Explain.

STUDY LINK 3 11 Open Sentences 99 148 Name Date Time Copyright © Wright Group/McGraw-Hill Write T if the number sentence is true and F if the number sentence is false. 1. 35 7 º 5 2. 43 34 3. 25 25 50 4. 49 (7 7) 0 Make a true number sentence by filling in the missing number. 5. 12 / (3 3) 6. (60 28) / 4  7. (3 8) 6 8. 30 (4 6)  Make a true number sentence by inserting parentheses. 9. 4 º 21018 10. 16168º2 11. 27 /9 /31 12. 27 /9 /39 Find the solution of each open sentence below. Write a number sentence with the solution in place of the variable. Check to see whether the number sentence is true. Example:6 x14Solution:8Number sentence:6+8=14 Open sentence Solution Number sentence 13. 12 x 32 14. s200 3 15. 5 º y40 16. 7 x/4 Practice 17. 366 7,565  18. 3,238 9,784  19. 9,325 756  20. 4,805 2,927 

39 5  , 6 7  , 4 15 33  , Rami picked up a Fact Triangle and asked, “6 times 7 equals what number?” Number sentence:6 º7  ? Solution:? 42 Cole picked up a different Fact Triangle and asked, “3 times what number equals 15?” Number sentence:3 º? 15 Solution:? 5 LESSON 3 11 Name Date Time Solve Open Sentences 100 Copyright © Wright Group/McGraw-Hill Choose six Multiplication/Division Fact Triangles. Cover one corner with your thumb. Write the number sentence and the solution. 1. Number sentence: Solution: 2. Number sentence: Solution: 3. Number sentence: Solution: 4. Number sentence: Solution: 5. Number sentence: Solution: 6. Number sentence: Solution:

101 Copyright © Wright Group/McGraw-Hill Copyright © Wright Group/McGraw-Hill Each letter in the animal names on this page has a value. Some of the values of the letters are known. Some of the values of the letters are unknown. Use the information below to find the unknown values. COW is worth 23. KOALA is worth 46. DONKEY is worth 66. MONKEY is worth 54. LION is worth 35. PANDA is worth 83. LESSON 311 Name Date Time Solve Open Sentences CE I LMWY 8172129104 Each letter in the animal names on this page has a value. Some of the values of the letters are known. Some of the values of the letters are unknown. Use the information below to find the unknown values. COW is worth 23. KOALA is worth 46. DONKEY is worth 66. MONKEY is worth 54. LION is worth 35. PANDA is worth 83. LESSON 311 Name Date Time Solve Open Sentences ADKNOP CE I LMWY 8172129104 ADKNOP

STUDY LINK 3 12 Unit 4: Family Letter Copyright © Wright Group/McGraw-Hill 102 Name Date Time Decimals and Their Uses In previous grades, your child had many experiences with money written in decimal notation. In the next unit, the class will learn about other uses of decimals. The class will focus on examples of decimals in everyday life. For example, some thermometers have marks that are spaced 12 0of a degree apart. These marks give a fairly precise measurement of body temperature, such as 98.6 F. Students will explore how decimals are used in measuring distances, times, and gasoline mileage. We will also begin a yearlong measurement routine. Students will find their own “personal references,” which they will use to estimate lengths, heights, and distances in metric units. For example, your child might discover that the distance from the base of his or her thumb to the tip of his or her index finger is about 10 centimeters and then use this fact to estimate other distances. The World Tour will continue. In small groups, students will gather information about different countries in Africa and then share what they have learned with the class. Students can then compare and interpret data for a large number of countries from the same region. Please keep this Family Letter for reference as your child works through Unit 4. 93 4 6 8 100 Normal body temperature is about 98.6 °F. 2468 ↑ About 10 cm

103 Copyright © Wright Group/McGraw-Hill Vocabulary Important terms in Unit 4: centimeter (cm) In the metric system, a unit of length equivalent to 11 00of a meter; 10 millimeters; 11 0of a decimeter. decimeter (dm) In the metric system, a unit of length equivalent to 11 0of a meter; 10 centimeters. hundredths In base-10 place-valuenotation, the place in which a digit has a value equal to 11 00of itself; the second digit to the right of the decimal point. meter (m) In the metric system, the unit of length from which other units of length are derived. One meter is the distance light will travel in a vacuum (empty space) in 299,71 92,458  second; 100 centimeters; 10 decimeters. millimeter (mm) A metric unit of length equivalent to 1,01 00 of a meter; 11 0of a centimeter. ONE Same as whole. ones The place-value position in which a digit has a value equal to the digit itself. personal measurement reference A convenient approximation for a standard unit of measurement. For example, many people have thumbs that are approximately one inch wide. place value A number writing system that gives a digit a value according to its position, or place, in the number. In our standard, base-10 system, each place has a value ten times that of the place to its right and 1 tenth the value of the place to its left. tens The place-value position in which a digit has a value equal to 10 times itself. tenths In base-10 place-valuenotation, the place in which a digit has a value equal to 11 0of itself; the first digit to the right of the decimal point. thousandths In base-10 place-valuenotation, the place in which a digit has a value equal to 1,01 00 of itself; the third digit to the right of the decimal point. whole (or ONE, or unit) In Everyday Mathematics, an entire object, collection of objects, or quantity being considered; 100%. Same as the ONE or unit whole. 1 0234567 CM 1,000s 100s 10s 1s 0.1s 0.01s 0.001s Thousands Hundreds Tens Ones . Tenths Hundredths Thousandths Unit 4: Family Letter cont. STUDY LINK 312

Copyright © Wright Group/McGraw-Hill 104 Do-Anytime Activities To work with your child on the concepts taught in this unit, try the interesting activities listed below. For each activity, discuss the use of decimals and the meanings of place values. 1.Have your child track the sports statistics of a favorite athlete. 2.Have your child compare prices of items in the supermarket. 3.Help your child create and use new personal reference measures. 4.Together, find statistics about countries in the World Tour. Look in newspapers and almanacs. Unit 4: Family Letter cont. STUDY LINK 312 In Unit 4, your child will play the following games. Baseball MultiplicationSeeStudent Reference Book,pages 231 and 232. The game provides practice with multiplication facts. Fishing for DigitsSeeStudent Reference Book, page 242. The game provides practice in identifying digits, the values of the digits, adding, and subtracting. Name That NumberSeeStudent Reference Book,page 254. The game provides practice with using operations to represent numbers in different ways.Number Top-It (Decimals)SeeStudent Reference Book,page 256. The game provides practice with comparing, ordering, reading, and identifying the value of digits in decimal numbers. Polygon Pair-UpSeeStudent Reference Book, page 258. The game provides practice in identifying properties of polygons. Product Pile-UpSeeStudent Reference Book, page 259. The game provides practice with multiplication facts. Building Skills through Games

Study Link 4 1 1. 3. Study Link 4 3 Sample answers: 3.5.05, 5.25, 5.95 4.4.15, 4.55, 4.99 5.21.4, 21.98, 21.57 6.0.89, 0.85, 0.82 7.2.155, 2.16, 2.159 8.0.84, 0.88, 0.87 Study Link 4 4 1.Seikan and Channel Tunnel 2.Between 90 and 130 miles 3.Sample answer: I rounded the tunnel lengths to “close-but-easier” numbers and added 3530201515115 to find the total length. 4.12 miles5.8 miles Study Link 4 5 1.120.412.1.463.5.184.0.03 5.6.7.8. 9.Sample answer: 2.33 4.21 10.Sample answer: 6.83 5.31 Study Link 4 6 1. a.$0.76b.$2.43c.$4.64d.$2.95 2.$16.403.$2.574.$7.325.$18.10 6.$10.78 7.Loaf of bread; Sample answer: The price of a loaf of bread in 2000 was $0.88. The expected price of a loaf of bread in 2025 is $3.31. This was almost 4 times its cost in 2000. Study Link 4 7 1. 13 ,03 05 0; 0.3352. 13 ,00 01 0; 0.301 3. 17 00; 0.074.1 15 00; 1.05 5.0.3466.0.0927.0.0038.2.7 9.0.53610.0.2311.7.00812.0.4 13.14.15.16. Study Link 4 8 1. a.7 cmb.0.07 m2. a.12 cmb.0.12 m 3. a.4 cmb.0.04 m4. a.6 cmb.0.06 m 5. a.2 cmb.0.02 m6. a.14 cmb.0.14 m Study Link 4 9 2.180 mm3.4 cm4.3,000 mm 5.400 cm6.7 m7.460 cm 8.794 cm9.4.5 m10.0.23 m 11.60 cm12.8 cm13.7 cm Study Link 4 10 2. a.65 mmb.2.6 cmc.610 cm 3. a.50 mmb.3 cmc.300 cm 4. a.800 mmb.11 cmc.5 m 5. a.430 mmb.9.8 cmc.0.34 m 6. a.6 mmb.0.4 cmc.5,200 mm 1,000s 100s 10s 1s 6854 105 Copyright © Wright Group/McGraw-Hill As You Help Your Child with Homework As your child brings assignments home, you may want to go over the instructions together, clarifying them as necessary. The answers listed below will guide you through some of the Study Links in this unit. Unit 4: Family Letter cont. STUDY LINK 312 10s 1s 0.1s 0.01s 0.001s 73 00 4