H A R C O U R T S C H O O L P U B L I S H E R S Spiral Review Book

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4 Contents Chapter 1 Algebra: Machines and Puzzles 1.1 Data Analysis and Probability, Number and Operations...SR1 1.2 Measurement, Number and Operations...SR2 1.3 Measurement, Data Analysis and Probability, Number and Operations...SR3 1.4 Algebra, Number and Operations...SR4 1.5 Geometry, Number and Operations...SR5 1.6 Measurement, Geometry...SR6 1.7 Data Analysis and Probability, Number and Operations...SR7 Chapter 2 Multiplication and Large Numbers 2.1 Algebra, Measurement...SR8 2.2 Number and Operations, Geometry...SR9 2.3 Data Analysis and Probability, Problem Solving...SR Algebra, Reasoning and Proof...SR Number and Operations, Problem Solving...SR Number and Operations, Geometry...SR Number and Operations, Measurement...SR Data Analysis and Probability, Problem Solving...SR Number and Operations, Geometry...SR Algebra, Problem Solving...SR Number and Operations, Algebra...SR18 Chapter 3 Factoring and Prime Numbers 3.1 Geometry, Problem Solving...SR Geometry, Data Analysis and Probability, Number and Operations...SR Algebra, Problem Solving...SR Geometry, Algebra, Number and Operations...SR Measurement, Algebra, Problem Solving...SR Measurement, Reasoning and Proof, Number and Operations...SR Reasoning and Proof, Problem Solving, Number and Operations...SR25 Chapter 4 Equivalence and Comparison of Fractions 4.1 Algebra, Geometry...SR Number and Operations, Problem Solving...SR Number and Operations, Geometry...SR Algebra, Problem Solving...SR Number and Operations, Algebra...SR Measurement, Problem Solving...SR Number and Operations, Data Analysis and Probability...SR Measurement, Reasoning and Proof...SR Number and Operations, Data Analysis and Probability...SR34 iii

5 Contents Chapter 5 Understanding Addition and Subtraction Algorithms 5.1 Algebra, Measurement...SR Number and Operations, Problem Solving...SR Algebra, Data Analysis and Probability...SR Number and Operations, Problem Solving...SR Number and Operations, Measurement...SR39 Chapter 6 Grids and Graphs 6.1 Number and Operations, Geometry...SR Data Analysis and Probability, Problem Solving...SR Number and Operations, Measurement...SR Algebra, Reasoning and Proof...SR Number and Operations, Data Analysis and Probability...SR Geometry, Problem Solving...SR Measurement, Reasoning and Proof...SR Algebra, Geometry...SR Number and Operations, Problem Solving...SR Measurement, Geometry...SR Data Analysis and Probability, Algebra...SR50 Chapter 7 Decimals 7.1 Number and Operations, Problem Solving...SR Data Analysis and Probability, Measurement...SR Algebra, Geometry...SR Number and Operations, Reasoning and Proof...SR Data Analysis and Probability, Problem Solving...SR Geometry, Measurement...SR Number and Operations, Algebra...SR Problem Solving, Number and Operations...SR Algebra, Geometry...SR Measurement, Data Analysis and Probability...SR Number and Operations, Problem Solving...SR61 Chapter 8 Developing a Division Algorithm 8.1 Number and Operations, Problem Solving...SR Data Analysis and Probability, Algebra...SR Geometry, Problem Solving...SR Number and Operations, Measurement...SR Number and Operations, Problem Solving...SR Algebra, Data Analysis and Probability...SR Number and Operations, Measurement...SR Geometry, Problem Solving...SR Number and Operations, Reasoning and Proof...SR70 iv

6 Chapter 9 Attributes of Two-Dimensional Figures 9.1 Data Analysis and Probability, Problem Solving...SR Number and Operations, Geometry...SR Algebra, Problem Solving...SR Number and Operations, Data Analysis and Probability...SR Measurement, Reasoning and Proof...SR Algebra, Problem Solving...SR Geometry, Reasoning and Proof...SR Number and Operations, Measurement...SR78 Chapter 10 Area and Perimeter 10.1 Geometry, Measurement...SR Number and Operations, Problem Solving...SR Algebra, Measurement...SR Geometry, Reasoning and Proof...SR Number and Operations, Data Analysis and Probability...SR Algebra, Problem Solving...SR84 Chapter 11 Fraction Computation 11.1 Number and Operations, Measurement...SR Geometry, Problem Solving...SR Algebra, Data Analysis and Probability...SR Number and Operations, Problem Solving...SR Algebra, Measurement...SR Measurement, Problem Solving...SR Number and Operations, Reasoning and Proof...SR Measurement, Problem Solving...SR Algebra, Geometry...SR Number and Operations, Data Analysis and Probability...SR94 Chapter 12 Three- Dimensional Geometry 12.1 Geometry, Data Analysis and Probability...SR Number and Operations, Problem Solving...SR Algebra, Reasoning and Proof...SR Number and Operations, Measurement...SR Geometry, Problem Solving...SR Number and Operations, Data Analysis and Probability...SR Number and Operations, Problem Solving...SR Algebra, Geometry...SR102 v

7 Contents Chapter 13 Fun with Algebra 13.1 Algebra, Geometry...SR Number and Operations, Measurement...SR Geometry, Problem Solving...SR Data Analysis and Probability, Measurement...SR Number and Operations, Reasoning and Proof...SR Number and Operations, Geometry...SR Algebra, Problem Solving...SR109 Chapter 15 Graphing 15.1 Number and Operations, Problem Solving... SR Algebra, Geometry... SR Measurement, Data Analysis and Probability... SR Geometry, Problem Solving... SR Number and Operations, Algebra...SR Number and Operations, Data Analysis and Probability...SR121 Chapter 14 Data and Probability 14.1 Geometry, Problem Solving... SR Number and Operations, Probability and Data Analysis... SR Measurement, Problem Solving... SR Number and Operations, Geometry... SR Algebra, Data Analysis and Probability... SR Number and Operations, Geometry... SR115 vi

8 Data Analysis and Probability In each row, circle the letter of the spinner that would NOT be fair. Lesson 1 Number and Operations Each large array is separated into two smaller arrays. Complete the multiplication sentence for the large array. ( 2) (7 4) 7 6 (5 ) (1 6) Chapter 1 Book SR1

9 Measurement Write the length and width that will give the largest area for each perimeter. All sides are whole numbers. Lesson 2 Perimeter 26 in. Perimeter 82 cm Perimeter 124 yd length in. length cm length yd width in. width cm width yd area sq in. area sq cm area sq yd List the length and width of all possible rectangles for the given area. All sides are whole numbers. Area 20 sq m Area 36 sq ft Number and Operations Complete each number sentence (40 9) (7 9) (100 4) (3 4) 8 34 (8 30) (8 4) (200 7) (80 7) Multiply _ 94 7 _ _ _ SR2 Book Chapter 1

10 Measurement Lesson 3 The boards will be placed end-to-end. Write the total length. ft ft ft Data Analysis and Probability The spinner is spun once. What is the probability that the outcome will be: an even number? a number less than 5? a number greater than 0? a number greater than 8? a number less than 8? a multiple of 2? Number and Operations Complete each set of fact families Chapter 1 Book SR3

11 Algebra Write the next five numbers in the pattern. Write the 15th number in the pattern. Describe the rule. Lesson 4 1, 3, 5, 7, 9,,,,, 15th number: Rule: 6, 11, 16, 21, 26,,,,, 15th number: Rule: 4, 8, 12, 16, 20,,,,, 15th number: Rule: 0, 2, 5, 9, 14,,,,, 15th number: Rule: 105, 99, 93, 87, 81,,,,, 15th number: Rule: Number and Operations Write the missing numbers in each factor tree. Find the missing factor in each multiplication sentence SR4 Book Chapter 1

12 Geometry Which words in the box describe all the figures in the row? Use the appearance of the figures to decide how many congruent or parallel sides they have. Lesson 5 rhombuses parallelograms quadrilaterals polygons rectangles Number and Operations Write a decimal that is between each pair of decimals. 52,, 53 88,, 89 $0.35,, $ ,, 1.8 Chapter 1 Book SR5

13 Measurement Use the information in the table to find the missing measurements. Lesson 6 Measures 1 ft 12 in. 1 wk 7 days 1 yd 3 ft 1 hr 60 min 1 lb 16 oz 1 min 60 sec 1 ton 2,000 lb 1 m 100 cm 1 gal 4 qt 1 L 1,000 ml 9 ft 3 in. in. 200 min hr min 2 lb 4 oz oz 50 qt gal qt 7 yd 2 ft ft 24 days wk days 3 gal 2 qt qt 235 cm m cm 1 min 14 sec sec 1 ton 450 lb lb 4 yd 17 in. in. 1,820 ml L ml Geometry For each figure, write the number of faces, vertices, and edges. If a figure does not have any, write none. Faces: Faces: Faces: Vertices: Vertices: Vertices: Edges: Edges: Edges: SR6 Book Chapter 1

14 Data Analysis and Probability Use the graph for Problems 1 3. Lesson 7 How many students are represented in the graph? students How many students played for fewer than 31 minutes? students How many more students played for between 0 and 10 minutes than between 21 and 30 minutes? more students Number and Operations Follow the directions. Write the number. Begin at 0. Move 4 units right. Begin at 0. Move 5 units left. Use the thermometer. Write the temperature after the change. Begin at 10F. Temperature increases 20F. Begin at 20F. Temperature rises 40F. Begin at 30F. Temperature drops 50F. Begin at 10F. Temperature drops 20F. Chapter 1 Book SR7

15 Algebra Complete each table. Lesson 1 If x is Then 2x 4 is If x is Then 5x 7 is If 3x 7 is Then x is If 4x 9 is Then x is Measurement Write how you would measure the amount with the containers you have. You have a 4-quart container and a 7-quart container. How could you measure exactly 33 quarts? You have a 3-gallon container and a 5-gallon container. How could you measure exactly 1 gallon? SR8 Book Chapter 2

16 Number and Operations Complete each puzzle. Lesson 2 Geometry Write prism or pyramid to describe the figure. For each prism or pyramid, name the shape of the base. If the figure is neither a prism nor pyramid, write neither. Chapter 2 Book SR9

17 Data Analysis and Probability For 1 5, use the graph. Lesson 3 How many students can jump at least 48 inches? How many students can jump no more than 42 inches? How many more students can jump at least 46 inches than can jump no more than 38 inches? How many more students can jump at least 3 feet? If there are 23 students in this class, how many did NOT participate in the activity? Problem Solving Use a strategy and solve. The sum of the first 5 counting numbers is or 15. The sum of the first 6 counting numbers is or 21. What is the sum of the first 12 counting numbers? Sara s softball team scored no runs in the first inning, 1 run in the second inning, 3 in the third inning, and 6 in the fourth inning. The game is 6 innings long. If the pattern continues, how many runs will Sara s team score in the game? SR10 Book Chapter 2

18 Algebra Complete the table. Then write a rule for the table in words. Lesson 4 INPUT x OUTPUT INPUT x OUTPUT INPUT x OUTPUT INPUT x OUTPUT Reasoning and Proof Follow the steps to complete each number puzzle. Steps Shorthand Think of a number. x Multiply by 4. 4x Add 2. 4x 2 Multiply by 2. 8x 4 Subtract 4. Divide by 4. 8x 2x Chapter 2 Book SR11

19 Lesson 5 Number and Operations Find the sum or difference. Problem Solving Use a strategy and solve. Darnel did 1_ of his homework problems when he got home from school. 2 He did another 6 problems just before dinner and the remaining 4 after dinner. How many homework problems did Darnel have? Imani has a square sheet of paper. She folds it in half so that opposite edges touched. Without unfolding it, she folds it in half again the other way. When she unfolds the paper, how many squares of all sizes are there? You want to make a cube from toothpicks and mini-marshmallows. What is the least number of toothpicks and mini-marshmallows that you need? SR12 Book Chapter 2

20 Number and Operations For 1 3, use the number line to help you complete the table. Lesson 6 INPUT x OUTPUT 2 3 x 4 INPUT x OUTPUT x 7 INPUT x OUTPUT 6 1 x 10 Geometry Draw the result of the transformation. Translate the triangle 3 units right and 4 units up. Reflect the triangle over the heavy line. Chapter 2 Book SR13

21 Number and Operations Complete the puzzle. Use the area model to help. Lesson Measurement Circle the best estimate for the weight of the object. math textbook a. 300 grams b. 2 kilograms c. 7 kilograms CD a. 2 ounces b. 8 ounces c. 12 ounces giraffe a. 50 pounds b. 500 pounds c. 2,000 pounds computer a. 2 ounces b. 22 ounces c. 6 pounds keyboard jump rope a. 30 grams b. 200 grams c. 1 kilogram large packed a. 7 pounds b. 40 pounds c. 400 pounds suitcase SR14 Book Chapter 2

22 Data Analysis and Probability Write the probability as a fraction. A fair spinner numbered 1 12 is spun once. Lesson 8 an even number a factor of 12 a multiple of 4 a number divisible by 3 A number card is picked from a bag in which there are 5 cards labeled 1, 5, 10, 25, and 50. a number less than 25 a number greater than 50 a number at least 25 a number at least 1 a number greater than 9 a number more than 1, but less than 50 Problem Solving Use a strategy and solve. Explain how you got your answer. Jackie hoped to save $350 by the end of the school year. He saved $30 each month from September through November, $25 each month from December through February, and $35 each month from March through May. How much does he need to save in June to reach his goal? The school is painting its walls. The area to be painted is 40,000 square feet. The school ordered 1-gallon cans of paint. Each can of paint covers 400 square feet. Cans are packaged in cartons of 4. So far, the school has used 20 cartons. How many more cartons of paint will be needed? Chapter 2 Book SR15

23 Number and Operations Complete the table Lesson Geometry For 9 15 use the coordinate grid. Write the coordinates of each point. A B C D E F G SR16 Book Chapter 2

24 Algebra Find the missing factor in the number sentence. Lesson Problem Solving Use a strategy and solve. Chen builds model airplanes. He has a shelf that is 108 inches long. Each plane needs 11 inches of space, and he likes to leave 3 inches between planes. What is the greatest number of planes he can fit on the shelf? Explain. Tina wrote the word CAPITOL. Then she drew its reflection after flipping it across a vertical line. Which letters, if any, looked the same after the reflection as before? Pablo wrote the word CAPITOL and flipped it across a horizontal line. Which letters in the reflection, if any, looked the same after the reflection as before? Chapter 2 Book SR17

25 Number and Operations Find the quotient. Use rounding and compatible numbers as needed to help you estimate. Lesson Algebra Write the missing numbers. Then write the rule. INPUT OUTPUT INPUT OUTPUT INPUT OUTPUT SR18 Book Chapter 2

26 Geometry Write acute, right, or obtuse to describe the appearance of each triangle. Lesson 1 triangle triangle triangle Problem Solving Use a strategy and solve. triangle triangle triangle A tennis tournament has 16 players. A player is eliminated as soon as he or she loses a match. How many matches will be needed to declare a winner? Explain. What is the sum of the first 25 odd whole numbers? Use the table below to help you find a pattern. Expression Sum Chapter 3 Book SR19

27 Geometry For 1 4, write the names of all the figures in the box that match the description. Lesson 2 All angles must be right angles. All sides must be congruent. Opposite sides must be congruent. Opposite sides must be parallel. Data Analysis and Probability For 5 8, use the cards. Write impossible, unlikely, likely, or certain to describe the outcome when a card is selected randomly. The card will have a number greater than 2. The card will have a number less than 9. The card will have a number greater than 3 and less than 5. The card will have a number that is a multiple of 9. Number and Operations Find the difference _ _ _ _ SR20 Book Chapter 3

28 Algebra Complete each table. Then write a rule for the table. Lesson 3 Input Output Input Output Input Output Input Output Rule: Rule: Rule: Rule: Problem Solving Write a strategy you could use to solve each problem. Explain your choice. Find the sum of the first 50 counting numbers. What is the greatest number of 2-inch by 3-inch stamps that could fit on a 4-inch by 6-inch index card? What is the greatest possible product you can get if you use the digits 3, 5, 7, and 8 to make two 2-digit factors? Chapter 3 Book SR21

29 Geometry Write parallel, perpendicular, or neither to describe how the lines appear to be related. Lesson 4 Algebra Use the rule to write the outputs. The output is twice The output is one y 2x 1 the input. less than 3 times the input. Input Output Input Output x y Number and Operations The numbers in the puzzle on the right are all double the numbers in the puzzle on the left. Complete the pair of Cross Number Puzzles. Amounts on both sides of a thick line must be the same SR22 Book Chapter 3

30 Measurement Measure each line segment to the nearest inch. Lesson 5 in. in. in. in. in. Algebra Complete the input-output table. INPUT Subtract 3. Multiply by 2. Add 7. Problem Solving Complete each table. x 8x OUTPUT x 6x x 11x Chapter 3 Book SR23

31 Measurement Find how much time has passed. Lesson 6 Reasoning and Proof Complete the related number sentences Number and Operations Complete the related number sentences SR24 Book Chapter 3

32 Reasoning and Proof Complete the puzzles to match the arrays. Lesson Problem Solving Solve. A jet plane travels 500 miles in one hour. A propeller plane travels 320 miles in one hour. How many more miles will the jet plane travel in 3 hours than the propeller plane? more miles Damon can paint 300 square feet of a room in one hour. Steven can paint 220 square feet in the same time. How many more square feet can Damon paint in 15 minutes than Steven? more square feet Number and Operations Complete each Cross Number Puzzle. Amounts on both sides of a thick line must be the same. Chapter 3 Book SR25

33 Algebra Use mental math to complete the table. Then write the rule for the table. Lesson 1 Input Output Input Output Input Output Geometry For 4 9, use the figure at the right. It has perimeter of 4 centimeters and area of 1 square centimeter. Use the figure to find the side lengths, perimeter, and area of the other figures. Perimeter Perimeter Perimeter Area Area Area Perimeter Perimeter Perimeter Area Area Area SR26 Book Chapter 4

34 Number and Operations Complete the Cross Number Puzzles. Remember that amounts on both sides of a thick line must be the same. Lesson 2 Problem Solving Use a strategy and solve. Cassie paid 85 for a snack from a machine. She used at least one nickel, one dime, and one quarter. She put one coin into the machine. Next, she put in three times as many of a different coin. Then she used twice as many of the third coin as the second coin. Cassie used 10 coins in all. What coins did she use? A group of friends paid $84.25 for admission to an amusement park. Four of them paid the children s price of $9.25. The rest paid the adult s price of $ How many paid each price? There are some ducks and some sheep in a barnyard. If the animals in the barnyard have a total of 80 legs, what is the greatest number of sheep that there could be? Chapter 4 Book SR27

35 Number and Operations Lesson 3 Write or for the used to decide.. Then write the place you 1,593,941 1,395, , ,408 3,687,606 3,678,606 23,102,354 23,102,453 6,028,385 5,991, ,036, ,036,771 Write each set of numbers in order from least to greatest. 2,942,156 2,927,165 2,991,003 2,800,999 4,156,085 4,166,550 4,196,446 4,099,909 56,067,125 65,001,743 66,435,007 66,009,838 Geometry For 10 16, label the points. A (1, 4) B ( 3,3) C (1,3) D ( 5,2) y x E (3, 1) F ( 2, 4) G ( 5, 1) SR28 Book Chapter 4

36 Algebra Complete the table. Lesson 4 If x is Then 3x 2 is If x is Then 4x 3 is If x 9 is Then x is If 4x 4 is Then x is Problem Solving Use a strategy to solve. The first 6 rows of Pascal s Triangle are shown at the right. The highlighted diagonal numbers are called triangular numbers because they can be represented by triangular figures What number would be highlighted in row 8 of Pascal s triangle? Chapter 4 Book SR29

37 Number and Operations Complete the factor tree. Then express the number at the top as the product of its prime factors. Lesson Algebra Complete the multiplication table SR30 Book Chapter 4

38 Measurement Circle the best estimate for the capacity of the container. Lesson 6 juice box 30 ml 300 ml 3 liters kitchen sink 20 quarts 40 gallons 100 liters beach pail 30 liters 30 quarts 3 liters car s gas tank 2 gallons 20 gallons 200 liters watering can 1_ quart 1 gallon 20 gallons 2 spaghetti pot 1 liter 5 liters 50 liters Write the equivalent measure. 3 liters milliliters 8 quarts gallons 2,000 milliliters liters 4 pints quarts 8 cups pints 20 cups quarts 5 gallons quarts 2,500 milliliters liters 28 pints cups 16 quarts gallons Problem Solving Use a strategy to solve. Nine players are entered in a chess tournament. In each match, the losing player is eliminated from the tournament. How many matches will be needed to find a champion? James tried to memorize Bruce s telephone number, but couldn t remember the last 2 digits. How many different phone numbers could be Bruce s number? Explain. Chapter 4 Book SR31

39 Number and Operations Round each factor to a multiple of 10 or 100 to estimate the product Lesson Data Analysis and Probability For 16 23, use the spinner. Suppose you spin the pointer once, which event is more likely? If the events are equally likely, write equally likely An even number or an odd number An even number or a number less than 5 A factor of 2 or a factor of 3 A multiple of 2 or a multiple of 4 An odd number or a prime number A number less than 2 or a number greater than 9 A number greater than 7 or a number less than 3 An even number or a prime number SR32 Book Chapter 4

40 Measurement Lesson 8 Circle the best estimate for the weight. 8 lb is about 1 kg 3 kg 6 kg 500 g is about 1 lb 2 lb 5 lb 6 kg is about 8 lb 13 lb 20 lb 2,500 g is about 2 lb 3 lb 5 lb 3.5 kg is about 4 lb 5 lb 8 lb 1,000 g is about 4 lb 2 lb 1 lb Reasoning and Proof For 7 18, use Cuisenaire Rods or the rods on Activity Master 21. If Then the orange rod is 1 whole, is 1_ 2. the purple rod is 1 whole, is 1_ 4. the blue rod is 1 whole, is 1_ 3. the dark green rod is 1 whole, is 1_ 3. the brown rod is 1 whole, is 1_ 2. the white rod is 1_ 4, is 1 whole. the green rod is 1_ 3, is 1 whole. the black rod is 1 whole, is 1_ 7. the yellow rod is 1_ 2, is 1 whole. the white rod is 1_ 6, is 1 whole. the purple rod is 2_ 3, is 1 whole. the brown rod is 4_ 5, is 1 whole. Chapter 4 Book SR33

41 Number and Operations Write a number that matches the description. Lesson 9 a number that is even, divisible by 5, and a factor of 100 a number that is a square number, odd, and less than 50 a number that is a multiple of 3, even, a square number, and less than 50 a number that is a factor of 36, even, and a multiple of 3 Data Analysis and Probability For 5 6, use the survey data in the table or the graph. HOURS OF TV WATCHED ON A SCHOOL NIGHT Number of Hours Number of Students more than 3 Which is greater: the number of students who watch less than 2 hours or the number of students who watch more than 2 hours? How much greater? How would you describe the trend shown in the graph? SR34 Book Chapter 4

42 Algebra Determine the rule and complete the table. Then write the rule in words. Lesson 1 INPUT x OUTPUT INPUT x OUTPUT INPUT x OUTPUT INPUT x OUTPUT Measurement Complete the table. Starting Temperature 19ºC up 10ºC 28ºC down 11ºC 16ºC up 15ºC Temperature Change 23ºC up 8ºC then down 7ºC 7ºC down 4ºC then up 9ºC Ending Temperature Chapter 5 Book SR35

43 Number and Operations Use the dot sketch to find an equivalent fraction. Lesson 2 3_ 4 _ 8 2_ 3 _ 12 1_ 2 _ 16 3_ 4 _ 12 2_ 3 _ 9 3_ 4 _ 16 1_ 4 _ 12 1_ 3 _ 9 5_ 8 _ 16 Problem Solving Use a strategy and solve. Together, Barnett and Hillary sold 38 raffle tickets. Barnett sold 8 more tickets than Hillary. How many did each person sell? Roberto has $0.71 in his pocket. He has a total of 7 coins and none of them are dimes. What coins does he have? Ken threw 5 darts. Not all of them hit the target, but the ones that did landed in all three sections. Ken scored exactly 27 points. How many darts hit the target? In which sections did they land? SR36 Book Chapter 5

44 Algebra Write the missing products. Lesson , , , , , , ,000 8, ,000 7, ,000 80, , , , ,000, ,000, ,000, Data Analysis and Probability For 5 7, use the graph. It shows the results of a survey about after-school sports at Taft School. Which two sports together have 100 student participants? How many more students participate in the most popular sport than in the least popular? If each student who took part in the survey participates in only one sport, are there more than or fewer than 200 students? How many more or fewer? Chapter 5 Book SR37

45 Number and Operations For 1 18, use one of these strategies to find the product. Lesson 4 Double a simpler multiplication. OR Add simpler multiplications Problem Solving Use a strategy and solve. Kendall rides his bike from his house to one end of his street, a distance of 220 feet. Then he rides to the other end of the street, a distance of 395 feet. How far does Kendall live from each end of the street? Each morning, Germaine chooses breakfast from 4 different cereals and 3 different juices. How many days can Germaine go without repeating a breakfast? Gina, Henry, Isabel, and Tommy are standing in line at the school cafeteria. Tommy is ahead of Gina. Henry is first in line. Isabel is ahead of Tommy. In what order are the friends standing in line? A race course is 3 miles long. There is a marker every 1 mile, but there 4 is no marker at the start or end of the course. How many markers are needed? SR38 Book Chapter 5

46 Number and Operations A company packs individual size cereal boxes in groups of 3, 6, or 9. Can each number of cereal boxes below be packed in groups of 3, 6, or 9 with none left over? Write yes or no. Lesson 5 Number of Cereal Boxes 215 Groups of 3? Groups of 6? Groups of 9? ,086 1,992 2,313 2,400 3,681 3,991 8,622 Measurement Solve each problem. For Bill s party, his mother bought three half-gallon bottles of lemonade. Is there enough lemonade for twenty 8-ounce glasses? If not, how much more lemonade is needed? If there is enough, how much extra is there? A restaurant has 6 pasta pots, each filled with 8 quarts of water. Did they use more than or less than 10 gallons of water to fill the pots? How much more or less? Chapter 5 Book SR39

47 Number and Operations Lesson 1 Check ( ) the fraction machines that produce the result shown. Cross out (X) the fraction machines that do not. Fill in the boxes on the left with the smallest numbers that produce the result shown. Geometry For 2 9, choose from the list of figures. Write the names of the figures that match the description. Prism Pyramid Sphere Cone Cylinder The figure has no circular bases. The figure has more than one circular base. The figure will not roll. The figure has rectangular faces. The figure has no bases. The figure might have exactly one rectangular face. The figure has at least two congruent faces. The figure has more than one triangular face. SR40 Book Chapter 6

48 Data Analysis and Probability For 1 5, use this data. Lesson 2 Mr. Blackwell has a bag with 15 cards. There are triangles on 5 of the cards. Each student takes 5 cards from the bag and then returns the cards to the bag. Number of Triangles Number of Students How many students pick cards from the pile? How many students pick at least 3 cards with triangles? How many students pick no more than 3 triangles? Why is the sum of the answers to Problems 2 and 3 above greater than the answer to Problem 1? Why is 5 the greatest number of triangles included in the table? Problem Solving Use a strategy and solve. A diagonal of a polygon cuts the figure into smaller polygons. Diagonals from the same vertex can make triangles. How many triangles will be made by drawing all the diagonals from one vertex in an octagon? Diagonal The house numbers along Jefferson Street are 1 through 120. How many digits are there for all the house numbers? Chapter 6 Book SR41

49 Number and Operations Complete the puzzle to find the product Lesson Measurement Compare. Write,, or. 3 kilograms 3,000 grams 200 grams 1_ 2 kilogram 1,000 grams 1 kilogram 21 kilograms 1,200 grams 1.5 kilograms 2,500 grams 800 grams 0.8 kilogram 2,000 grams 1.9 kilograms 4,150 grams 4.1 kilograms SR42 Book Chapter 6

50 Algebra Complete each sentence to find the missing numbers. Lesson 4 If , then If , then If , then If 27 27, then If 34², then If 49², then If 82 82, then. If 75², then. If 39², then. Reasoning and Proof Solve each puzzle to find the mystery number. Multiple of 9 less than 72 Tens digit is twice ones digit Multiple of 8 greater than 24 but less than 64 One of the digits is twice the other Square number greater than 5 5 but less than No digit is greater than 4 Sum of the digits is 4 Multiple of 7 greater than 6 7 but less than 12 7 Tens digit is less than ones digit Digits are consecutive numbers Square number greater than 6 6 but less than Sum of the digits is odd Tens digit is greater than ones digit Multiple of 6 greater than 7 6 but less than 13 6 Tens digit is greater than ones digit Sum of the digits is even Chapter 6 Book SR43

51 Number and Operations Use rounding or compatible numbers to estimate the product. Lesson _ _ _ _ _ _ _ _ _ Data Analysis and Probability For 16 21, use the number cards What part of the cards are even numbers greater than 3? What part of the cards are odd numbers less than 4? What part of the cards are odd numbers less than 11? What part of the cards are even multiples of 3? What part of the cards are odd multiples of 2? What part of the cards are numbers between 0 and 11? out of out of out of out of out of out of SR44 Book Chapter 6

52 Geometry Find the volume of the prism. Lesson 6 Volume cubic inches Volume cubic inches Volume cubic inches Volume cubic inches Problem Solving Use a strategy and solve. Mai has a rectangular cake for her birthday party. She wants to cut it into 10 equal pieces. What is the least number of cuts needed to make 10 equal-sized pieces? The length and width of a rectangle are both whole numbers of inches. If the perimeter is 24 inches, how many different shapes can the rectangle have? Chapter 6 Book SR45

53 Measurement Complete the number sentence. Lesson 7 4 nickels 2 dimes 7 nickels 4 9 dimes 4 nickels 12 dimes $7.00 $ $ $3.75 $ $6.10 $ Reasoning and Proof Complete the Cross Number Puzzles. SR46 Book Chapter 6

54 Algebra Complete the tables. Lesson 8 x x² x 1 x 1 (x 1) (x 1) x x² x 1 x 1 (x 1) (x 1) Geometry For 3 5, use the coordinate grid. Write the coordinates of the endpoints of the triangle after each translation. Move 5 units right and 6 units down. Move 9 units right and 8 units down. A B C - 2 y x Move 2 units right and 2 units down Chapter 6 Book SR47

55 Number and Operations Write all the numbers that match each description. Lesson 9 a number that is even, divisible by 5, a number that is less than 100, and a factor of 80 divisible by 2 and a factor of 200 a number that is divisible by 10 a number that is divisible by 5 and and less than 50 a factor of 75 Solve each Mystery Number Puzzle. Less than 100 Divisible by 5 and 10 Multiple of 8 Greater than 100 but less than 200 Sum of the digit = 5 Sum of the digits 5 Divisible by 5, but not by 10 Two-digit multiple of 6 Greater than 50 but less than 150 Divisible by 2 Sum of the digits 6 Tens digit is 5 greater than ones digit Problem Solving Use a strategy and solve. Hamburgers at the cafeteria cost $1.19. You have $7.00. How many different combinations of hamburgers and change can you get? With 5 pennies, 3 nickels, 3 dimes, and 3 quarters, how many different ways can you make exactly 30? SR48 Book Chapter 6

56 Measurement Write the correct amount to make the expressions equal. Lesson 10 4 cups pints 3 quarts cups 3 pints cups 1 1_ quarts cups 8 pints quarts 9 pints quarts 2 7 cups pints 11 cups quarts 12 pints quarts 1 1_ pints cups 3 pints quarts 5 cups cups 2 7 quarts pints 16 cups quarts 6 pints quarts 3 1_ quarts cups 11 pints quarts 9 cups pints 2 9 cups quarts 12 quarts pints 10 pints cups Geometry For 22 31, use the coordinate grid. Match the coordinates to the point, and label the point with the letter. A (2, 4) B ( 2,5) C (4,5) D ( 4, 3) E (4, 2) F ( 3, 2) G ( 4,3) H ( 3, 5) J (2,1) y x K ( 1,2) - 6 Chapter 6 Book SR49

57 Data Analysis and Probability For 1 5, use the bar graph. Lesson 11 How many students chose a type of project? How many more students chose the most popular project than the least popular? For which two types of projects did the teacher need to buy exactly 13 sets of materials? How many students doing projects did not use markers? Twenty students did not choose a project. How many students are in the class? Algebra Complete the table. INPUT Multiply by 3 Add 2 Subtract 5 OUTPUT SR50 Book Chapter 6

58 Number and Operations Use,, or to compare the fractions. Lesson 1 1_ 2 2_ 3 5_ 8 1_ 2 1_ 2 3_ 5 1_ 2 3_ 7 8_ 15 1_ 2 1_ 2 5_ 10 3_ 4 3_ 7 7_ 8 7_ 9 12 _ _ 20 7_ 10 7_ 12 3_ 8 3_ 6 8_ 10 8_ 9 Problem Solving Use a strategy and solve. Ella swam 4 laps of the pool on Monday. She plans to increase her distance by 1 lap each day. If she can do so, how many laps will she have swum in all by the end of 8 days? Hanh starts hiking a trail at a rate of 3 miles per hour. An hour later, Elvin starts at the same place and hikes in the same direction at a rate of 4 miles per hour. If they both keep up their pace, how many hours of walking will Elvin need to catch up to Hanh? Explain. Suppose you save 1 penny on the first day, 2 pennies on the second day, 4 pennies on the third day, and 8 pennies on the fourth day. If the doubling pattern continues, how many pennies will you have saved in all on the tenth day? Show your work. Chapter 7 Book SR51

59 Data Analysis and Probability For 1 3, use the bar graph. What was the mode piece of equipment sold at the electronics store? What was the range of numbers of pieces of equipment sold? If 25 more cell phones were sold, how would that change the mode? the range? Lesson 2 Measurement Write,, or to compare the weights. 2 lb 1 kg 0.5 kg 1.5 lb 0.4 kg 400 g 2.5 kg 2,500 g 0.25 lb 4 oz 5 lb 5,000 g 12 oz 200 g 1 lb 800 g 100 g 1_ lb 8 oz 2 1_ lb 2 kg 4 lb 14 oz 1 lb 4 SR52 Book Chapter 7

60 Algebra Lesson 3 Complete the next 2 rows of the table. Then describe the pattern you used. Input Output Input Output Input Output Input Output Geometry For 9 11, use the coordinate grid. Write the coordinates of the vertices of each figure. A B C D E F G Chapter 7 Book SR53

61 Number and Operations Complete the multiplication sentence. You may split and complete the area model Lesson Reasoning and Proof Is the number divisible by 2, 3, 6, and 9? Write yes or no. 118 Divisible by 2? by 3? by 6? by 9? 621 Divisible by 2? by 3? by 6? by 9? 342 Divisible by 2? by 3? by 6? by 9? 875 Divisible by 2? by 3? by 6? by 9? 441 Divisible by 2? by 3? by 6? by 9? 702 Divisible by 2? by 3? by 6? by 9? SR54 Book Chapter 7

62 Data Analysis and Probability For 1 7, use the spinner. Write each probability as a fraction. Lesson 5 On one spin of the pointer, what is the probability that it will land on... an even number? a prime number? a number that is at least 9? a number that is not greater than 8? a number that is greater than 3 but less than 6? a number that is a multiple of 3? a number that is a factor of 12? Problem Solving Use a strategy and solve. Saundra has some coins in her pocket: dimes, nickels, and pennies. There are twice as many dimes as nickels and twice as many nickels as pennies. If she has less than one dollar in change, how much money does she have? A family of 9 went to the movies. Tickets cost $7.75 for adults and $4.50 for children. They spent a total of $56.75 on tickets. How many adults and how many children were there? In the backyard, there was at least 1 bicycle, 1 tricycle, and 1 four-wheel scooter. There were 8 vehicles with 19 wheels altogether. How many of each type were there? Chapter 7 Book SR55

63 Geometry Lesson 6 Rotate the triangle 90 clockwise around the point (4,7). Draw the new triangle. Write the new coordinates of each point after the figure has been rotated. A B C Measurement Write the equivalent measure. 3 liters milliliters 8 quarts gallons 2,000 milliliters liters 4 pints quarts 8 cups pints 20 cups quarts 5 gallons quarts 2,500 milliliters liters 28 pints cups 16 quarts gallons 6 cups quarts 5 pints cups 500 milliliters liter 3 quarts gallon SR56 Book Chapter 7

64 Number and Operations Lesson 7 Write a mixed number and an improper fraction to describe the picture. Write each mixed number as an improper fraction or each fraction as a mixed number. 2 3_ 4 4 _ 4 4 _ 4 3 _ 4 9_ 5 5 _ 5 4 _ 51_ 5 3 _ _ 61_ 3 4 9_ 2 _ 18 34_ _ 73_ 6 8 Algebra Complete the table. Input Add 4. Multiply by 2. Subtract 8. Output Chapter 7 Book SR57

65 Problem Solving Use a strategy and solve. Lesson 8 Diana has 5 yellow pens. She has 2 more green than yellow and 3 fewer blue than yellow. A What fraction of her pens is yellow? B What fraction of Diana s pens is either green or yellow? Minh gets on the elevator at the ground floor in his office building. He gets off at floor 15 to buy a newspaper, gets back on and rides down 9 floors to visit a coworker. Then he gets back on the elevator and rides up 7 floors to his own office. On what floor does Minh work? You can think of the ground floor as floor 0. Lila is standing in line at her school cafeteria. There are 6 students between her and her friend Ivan who is behind her. There are 9 students in front of Lila and 17 behind Ivan. How many students are in line? Number and Operations Complete the number sentences (24 67) (18 34) 52 (34 18) 143 (18 34) SR58 Book Chapter 7

66 Algebra Fill in the blanks and describe the pattern that you see. Lesson and and and and For 2 10, use the pattern you described above and and and ,156 and ,401 and and Geometry For 11 16, use the net for a rectangular prism. Find the area of each face of the prism. Area of A Area of B Area of C square centimeters square centimeters square centimeters Area of D Area of E Area of F square centimeters square centimeters square centimeters Chapter 7 Book SR59

67 Measurement Complete the table. Lesson 10 Starting Temperature Temperature Change Ending Temperature 7C 16C 23C 19C 31C Up 17C Down 9C Up 18C Up 3C, then down 9C Down 5C, then up 16C Data Analysis and Probability For 6 7, use either the table or the bar graph. HOW MANY HOURS OF TV DO YOU USUALLY WATCH ON A SCHOOL NIGHT? Hours Per Day Number of Students More than 3 4 The class has 32 students. All students in class on Friday answered the survey questions. How many students were NOT in class? Which is more: the number of students who watch less than 2 hours or the number of students who watch more than 2 hours? How much more? SR60 Book Chapter 7

68 Number and Operations Use,, or to compare the decimal numbers. Lesson Write the numbers in order from least to greatest , 1.509, , , Problem Solving Use a strategy and solve. School starts at 8:25 A.M. Bronson rides two buses to school. The first bus ride takes 20 minutes, and the second one takes 15 minutes. It takes Bronson 8 minutes to walk to the first bus stop. If he knows the bus schedule and gets to each stop just in time for the bus, what is the latest he should leave his house in the morning? Explain. Horatio walks 6,000 feet a day for 7 days. At the end of the 8th day he has walked a total of 50,000 feet. How many feet did he walk on the 8th day? Explain. Kendrick wants to buy a total of 18 CDs. Each CD costs the same amount. He has already bought 5 CDs and paid $ How much will he need to spend in all? Explain. Chapter 7 Book SR61

69 Number and Operations Write the missing numbers at their locations on the number line. Choose from the numbers in the box. Lesson 1 Problem Solving Use a strategy and solve. A computer printer prints 17 pages per minute. If the printer is used for 19 minutes, how many pages will be printed? A library ordered 38 copies of a book. If they paid $17 per copy, how much did they pay for all the books? René walks 15 miles each week. If he walks all 52 weeks this year, how many miles will he walk? A city gets an average of 43 inches of rain each year. How many inches of rain can the city expect to get during 20 years? An entire school is going on a field trip. There will be 16 buses, each carrying 46 students. How many students are going on the trip? If a bicycle wheel turns 776 times in a 1-mile ride, how many times will it turn in a 12-mile ride? SR62 Book Chapter 8

70 Data Analysis and Probability Students in a class collected data on how many snacks people said they had each day. The results of the survey are shown in the table. Lesson 2 Use the results of the survey to complete the graph. Number of Snacks Number of People How many students answered the survey? How many more students had 2 snacks a day than had 1 snack a day? Algebra Complete the tables and shorthand rules. Chapter 8 Book SR63

71 Geometry Lesson 3 Complete the table by writing the coordinates for the vertices for the figure and its reflection over the vertical dotted line. Vertices A B C D Original Figure Reflected Image Problem Solving Use a strategy and solve. Andre is making a pattern of squares using small square tiles. The first figure uses 1 tile and has an area of 1 square unit. The second figure uses 4 tiles and has an area of 4 square units. The third figure uses 9 tiles and has an area of 9 square units. If the pattern continues, what will be the area of the sixth figure in his pattern? Study the pattern below. Then extend it to write the equation and find the value of each side in the tenth row. Row Equation Value of Each Side SR64 Book Chapter 8

72 Number and Operations Complete each partial product. Then write the final product. Lesson 4 Measurement Complete the table. Ounces Pounds 1 _ Pounds 2,000 4,000 10,000 1,500 Tons 1 1_ 2 1_ 2 1 1_ 4 Pounds 2 1_ _ 2 3 1_ Ounces 68 Chapter 8 Book SR65

73 Number and Operations Write equivalent fractions and decimals. The first one is done for you. Lesson _ _ 5 _ 10 3_ 5 _ 10 1 _ 20 _ 100 4_ 25 _ _ 10 _ 100 3_ 4 _ _ 20 _ 100 3_ 25 _ _ 20 _ 100 Problem Solving Use a strategy and solve. Yolanda is taking a car trip. She got these directions: Go 9 miles north on Route 3. Turn right. Go 3 miles east on Route 16. Turn left. Go 12 miles north on Route 56. Turn left. Go 3 miles west on Route 2. Turn right. Go 22 miles north on Route 3. If she drives straight back to her house on Route 3, how many miles will she have to drive? Can a rectangular room 16 feet long by 12 feet wide be completely covered with tiles that measure 2 feet on each side? If it can be, how many tiles would you need? SR66 Book Chapter 8

74 Algebra Complete the table. Lesson 6 x x ,024 2,500 x 1 x (x 1) (x 1) x x 2 x 2 x 2 (x 2) (x 2) Data Analysis and Probability For 3 5, use the graph. It shows students responses to a survey question. What was the mode of the data? What was the range of the data? What was the median number of movies seen? Chapter 8 Book SR67

75 Number and Operations For each pair of fractions: Lesson 7 Write an equivalent pair of fractions but with a common denominator. Make dot sketches, if you wish. Write,, or between the fractions. Measurement Complete the table. Feet _ 2 Inches 6 8 1_ 2 Yards _ _ 2 Feet SR68 Book Chapter 8

76 Geometry Describe the faces in each net. Name the figure that is formed by the net. Lesson 8 There are 2. There are 4. There are 6. There is 1. The figure is a. The figure is a. There are 6. There are 2. The figure is a. There are 5. Problem Solving Use a strategy and solve. You have four $10 bills, three $1 bills, 8 dimes, and 7 pennies. You spend $ How much money do you have left? The figure is a. Can you make 4 stacks of coins from 9 pennies so that no two stacks have the same number of coins? Explain. Chapter 8 Book SR69

77 Number and Operations List the factors for the two numbers. Then list any common factors for the two numbers. Lesson Common factors Common factors Common factors Common factors Common factors Common factors Common factors Common factors Reasoning and Proof Complete the Cross Number Puzzle. SR70 Book Chapter 8