Division Answers Ending with Zero

LESSON Name 71 Teacher Note: page 455 Review Hint #35 Short Division. Division Answers Ending with Zero New Concept Continue using short division: Any number leftover goes in front of the next digit. Any final number left over becomes the remainder. Place a digit above each digit. Use zero as a placeholder. 0 4 0 R 1 3 ) 1 2 1 Use compatible numbers to estimate in division. 5 ) 2 5 4 0 50 5 ) 250 250 is close to 254, and it is divisible by 5. Lesson Practice Use short division. a. 0 3 ) 1 2 0 b. 0 4 ) 2 4 0 c. 0 R 5 ) 1 5 2 d. 0 R 4 ) 1 2 1 e. R 3 ) 9 1 f. 2 ) 4 1 R Saxon Math Intermediate 4 463 Adaptations Lesson 71

Lesson Practice, continued g. Estimate. compatible numbers 6 ) 5 3 8 6 ) about I rounded 538 to. Then I divided by. The answer is. Written Practice page 457 1. 40 2. 260 seats in theater 30 occupied Cover tells us to find the area. not occupied 3. 4. 1 cup pineapple juice per quart 005 quarts = 1 gallon Saxon Math Intermediate 4 464 Adaptations Lesson 71

page 457 5. 5 pennies $0.05 6. a. 1 4 of 280 ) 2 8 0 3 dimes $. 2 quarters $. 3 nickels $. 1 4 3 4 on a field trip not on a field trip 280 Students students students students students b. 1 4 = % 7. 1 2 of 560 ) 5 6 0 1 2 560 8. mm 10 20 30 40 50 60 cm 1 2 3 4 5 6 a. centimeters b. millimeters a. b. 9. first 4 multiples of 90 10. Shade to show the comparison. 90,,, 2 3 2 5 Use fraction pieces. Saxon Math Intermediate 4 465 Adaptations Lesson 71

page 458 11. miles hours 12 1 =? 12. $375.48 + $536.70 13. 367,419 + 90,852 14. 42.3 57.1 28.9 96.4 + 38.0 15. $20.00 $19.39 16. 310,419 250,527 17. $6.08 7 Saxon Math Intermediate 4 466 Adaptations Lesson 71

page 458 18. 86 40 19. 59 8 20. short division 21. short division 22. short division 3 ) 1 8 0 8 ) 2 4 1 R 5 ) 3 2 3 R 23. short division 184 6 = 24. short division 423 7 = Saxon Math Intermediate 4 467 Adaptations Lesson 71

page 458 25. 36 + 4 2 + 10 2 = 26. 9 + m = 27 + 72 = + + m = m = 27. 6n = 90 28. Use an inch ruler to find the lengths of segments AB, BC, and AC. A B C AB = BC = n = AC = 29. 2 cm 30. 7 a.m. noon = hours I rounded 147 to the nearest ten, radius = cm which was. Find millimeters. Then I divided calls by hours. = calls Saxon Math Intermediate 4 468 Adaptations Lesson 71

LESSON 72 page 460 Name Finding Information to Solve Problems New Concept Lesson Practice Some story problems are tricky. They might contain extra information. Read all story problems carefully. Read this information. Then answer the questions that follow. Terell did yard work on Saturday. He worked for 3 hours in the morning and 4 hours in the afternoon. He was paid $6 for every hour he worked. a. How many hours did Terell work in all? b. How much money did Terell earn in the morning? Multiply the loop. pay hours $6 1 =? c. How much money did Terell earn in all? d. Make different amounts using two coins. 10 + = 10 + = + = 10 50 Saxon Math Intermediate 4 469 Adaptations Lesson 72 25

Written Practice page 463 1. miles gallon 18 =? 10 2. inches feet 12 1 = 24? ) 0000 feet times 1 = 50? ) 0000 3. short division 4. Start time: 8 ) $1 6 0 Count hours forward. Count minutes forward. 5. 1 3 of 36 ) 3 6 1 3 2 3 scored by Lucy not scored by Lucy 36 points points points points Saxon Math Intermediate 4 470 Adaptations Lesson 72

page 464 6. perimeter and area 7. 4 units 3 units mm 10 20 30 40 50 60 cm mm 1 =? 60 ) 8888 perimeter = area = 8. The year 1902 began on what day of the week? See page 464. 9. Different arrangements of Antonio, Bryan and Carolina Antonio Bryan Carolina different ways Saxon Math Intermediate 4 471 Adaptations Lesson 72

page 464 10. perimeter 11. multiples of 90 cm m 100 1 =? 1 m 1 m 1 m 90,,, 1 m 12. $1.68 $0.00 $0. + $0. 13. 4.3 0.00 0. +. 14. $10 ($6.46 + $2.17) = $6.46 $10.00 $. $. First I a + = Then I s = 15. 5 4 5 = 16. offset 359 17. offset 50 74 = Saxon Math Intermediate 4 472 Adaptations Lesson 72

page 465 18. short division 2 ) 1 6 1 R 19. short division 5 ) 4 0 0 20. short division 9 ) 4 6 2 R 21. short division 216 3 = 22. short division 159 4 = 23. short division 490 7 = 24. short division 126 3 = 25. short division 360 36 = 26. 5n = 120 n = 27. a. b. total score Kamili games won needs to win teammates altogether a. b. Saxon Math Intermediate 4 473 Adaptations Lesson 72

page 465 28. D A a. Which angle appears to be an obtuse angle? b. perpendicular segments C B and ; and c. parallel segments and 29. congruent exactly the same A B C D 30. Show the data on this bar graph. Average Weights of Animals Domestic Rabbit Otter Ringtail Monkey Chicken Animal Saxon Math Intermediate 4 474 Adaptations Lesson 72

LESSON 73 page 466 Name Geometric Transformations New Concept Transformations Movement Slide Turn Flip Name Translation Rotation Reflection Example Math Language Congruent figures have the same shape and size. One will fit exactly on top of the other. The matching parts are equal in measure. Transformations are ways to move figures in geometry. Slides, turns, and flips are transformations. Position triangle ABC on triangle XYZ with 3 transformations. B C Solution: A 1. Rotation: Turn triangle ABC about point C. A 90 rotation (turn) X X Z Y B C Z Y Saxon Math Intermediate 4 475 Adaptations Lesson 73

New Concept, continued 2. Translation: Slide triangle ABC to the right. A X translation (slide) B C Z Y 3. Reflection: Flip triangle ABC over line AC. A X B C Z Y Activity page 468 Using Transformations Use your textbook to complete this activity. Lesson Practice a. Name the three transformations described in this lesson. Common Geometric Translation b. r and r c. Use a color tile to model a turn, a flip, and a slide. Saxon Math Intermediate 4 476 Adaptations Lesson 73

Written Practice page 469 1. 1 2 of 48 = pencils ) 4 8 1 2 sharpened 1 2 not sharpened 48 pencils pencils pencils 2. 1 of 60 = 4 60 1 4 ) 6 0 % not sharpened 3. a. How many cars are needed? cars students 1 5 =? ) b. How much money will be needed altogether? c. $. cost students $ 1 5 =? $3.25 saved needs a. b. c. 4. Practice start time: Count hours forward. Count minutes forward. 5. See Liquids on page 1 in the Student Reference Guide. 1 gal = qt Saxon Math Intermediate 4 477 Adaptations Lesson 73

page 470 6. cm mm 1 10 =? 7. 5280 feet in mile bridge cm 1 2 3 less 8. Which of these numbers is not a multiple of 90? 9. Halfway Add. Then divide by 2. A 45 B 180 C 270 D 360 400 300 ) 10. 37.56. 11. 4.2.. +. 12. $100.00 $ 31.53 13. 251,546 37,156 14. n + 423 618 n = Saxon Math Intermediate 4 478 Adaptations Lesson 73

page 471 15. $3.46 7 16. 96 30 17. $0.59 8 18. short division 19. short division 20. short division 7 ) 6 3 3 R 5 ) 9 8 R 3 ) 1 5 0 21. short division 329 6 = 22. short division 274 4 = 23. short division 247 8 = 24. 25 m = 135 = m = m = 25. z 476 26. 6a = 12 + 6 = a = z = a = Saxon Math Intermediate 4 479 Adaptations Lesson 73

page 471 27. 2.3 cm 3.5 cm A B C? 28. Which transformation would position ABC on ABD? A 2.3 cm +. cm D B C r 29. I rounded one factor to and one factor to. A reasonable estimate is =. 30. a. Can run at least 30 miles per hour:,, b. Use the multiplication table. 12 squirrel times faster lion (compatible number) is close to 50 and is a multiple of 12. Since I know 12 times is, a lion can run times faster than a squirrel. c. The maximum speed of an elephant is than the maximum speed of some athletes. Some athletes run faster than an elephant. Saxon Math Intermediate 4 480 Adaptations Lesson 73

LESSON 74 page 473 Name Fraction of a Set New Concept A fraction of the circles is shaded. circles shaded total number of circles 3 7 numerator (top number) denominator (bottom number) 3 7 3 out of 7 are shaded Lesson Practice a. What fraction of the set is shaded? b. What fraction of the set is not shaded? c. In a class of 27 students, there are 14 girls and 13 boys. What fraction of the class is boys? d. In the word ALABAMA, what fraction of the letters are As? Saxon Math Intermediate 4 481 Adaptations Lesson 74

Written Practice page 475 1. 62 Milagro 2. 15,771 feet Mont Blanc Michael Matterhorn Mitsu taller Michelle altogether 3. 4 4. ) 9 6 5. 1 2 of 780 780 fans 1 2 stood and cheered 1 did not stand 2 and cheer fans fans ) 7 8 0 % stood and cheered 6. centuries years 1 = 10? 7. $1.75 ) $ 1 0. 0 0 I rounded $1.75 to. $10 = packages of cards Saxon Math Intermediate 4 482 Adaptations Lesson 74

page 475 8. What fraction of this set is not shaded? 9. L ml 1 = 2? 10. 6 in. 4 in. 11. mm cm 10 =? a. perimeter b. Cover tells us to find the area. a. b. 12. Which transformation would position STR on PQR? Imagine a pin on point R. Q S R P T r Saxon Math Intermediate 4 483 Adaptations Lesson 74

page 476 13. $6.15 ($0.57 + $1.20) = $0.57 $6.15 14. 43,160 15. 8 8 8 = 16. $3.54 6 17. Offset. 80 57 = 18. $704 9 19. short division 9 ) 3 5 4 R Saxon Math Intermediate 4 484 Adaptations Lesson 74

page 476 20. short division 21. short division 7 ) 2 8 5 R 5 ) 4 3 9 R 22. short division 23. short division 515 6 = ) R 360 = 4 ) 24. short division 25. 36 + n = 6 2 784 8 = = n = n = 26. 462 y 205 y = Saxon Math Intermediate 4 485 Adaptations Lesson 74

page 476 27. 50 = 5r 28., 90, 180, 270,, r = 29. diameter 20 in Sierra s arm is the r of the circle. The diameter will be times the radius. times is inches. 30. Which of these numbers is a prime number? A 1 B 2 C 4 D 9 Saxon Math Intermediate 4 486 Adaptations Lesson 74

LESSON 75 page 477 Name Measuring Turns New Concept Turns can be measured in degrees. Full turn 360 Three-quarter turn 270 Half turn 180 Quarter turn 90 The direction of a turn can be clockwise or counterclockwise 11 10 12 1 2 11 10 12 1 2 9 3 9 3 8 7 6 5 4 8 7 6 5 4 Clockwise turn Counterclockwise turn Activity 1 page 478 Rotations and Degrees Use your book to complete this activity. Example Mariya and Irina were both facing north. Mariya turned 90º clockwise. Irina turned 270º counterclockwise. W N S E After turning, in which directions were the girls facing? Saxon Math Intermediate 4 487 Adaptations Lesson 75

New Concept, continued The girls were facing east. Below are the turns Mariya and Irina made. N N 90 W E W E S Mariya Clockwise 270 S Irina Counter clockwise Activity 2 page 480 Rotations and Congruence Use your book to complete this activity. Lesson Practice a. Wakeisha skated east, turned 180º clockwise, and then N continued skating. W E In what direction was Wakeisha skating after the turn? S Describe each rotation. Write how many degrees. Write clockwise or counterclockwise. b. a quarter turn to the left c. a full turn to the right d. a three-quarter turn to the left e. a half turn to the right f. Describe the rotation that would position triangle 1 on triangle 2. See page 481. Saxon Math Intermediate 4 488 Adaptations Lesson 75

Written Practice page 481 1. $0.59 4 2. perimeter and area 4 units 6 units p = a = 3. 1 of 360 4 a. books on table b. books on floor 360 books 1 4 on table books books ) 3 4 on floor books books 4. 3 4 = % 5. decimal: mixed number: 2 3 6. 272 319 7. 8. 1 quart = cups Multiply the loop. cups ounces 1 8 =? Saxon Math Intermediate 4 489 Adaptations Lesson 75

page 482 9. 1 4 = % 10. a. Carrots are the favorite of how many students? b. broccoli carrots altogether Number of Students 10 8 6 4 2 Favorite Vegetables of the Class Broccoli Carrots Green Beans a. b. 11. 10 increase of 10 degrees 12. Turn upright. 0 B 10 F wise 13. $86.47 + $47.98 14. 36.7 18.5 15. 2358 4715 317 2103 + 62 Saxon Math Intermediate 4 490 Adaptations Lesson 75

page 483 16. short division 17. short division 18. short division 8 ) 7 1 6 R 2 ) 1 6 1 R 7 ) 4 3 4 19. short division 20. short division 21. short division ) 5 1 3 R ) 2 7 0 ) 2 6 7 22. n 7.5 21.4 23. $6.95 8 24. 46 70 n = 25. 460 9 26. 3a = 30 + 30 = a = 27. 3 2 2 3 a = Saxon Math Intermediate 4 491 Adaptations Lesson 75

page 483 28. three-quarter turn = 29. a. Which segment is perpendicular to BC? b. Draw a triangle similar to but not congruent to ABC. A C B 30. Nolan Ryan Check by rounding. Nolan Ryan Steve Carlton Steve Carlton more more My answer is reasonable because I rounded 5714 to and 4136 to. Then I subtracted minus and got. This is close to the exact answer. Saxon Math Intermediate 4 492 Adaptations Lesson 75

LESSON Name 76 Teacher Note: page 484 Review Hint #35 Short Division. Division with Three-Digit Answers For additional practice, students may complete Targeted Practice 76. New Concept Example Continue using short division. 2 6 4 R 2 3 ) 7 1 9 1 4 Use short division to divide money. Place the decimal point in the answer directly above the decimal point inside the division box. $2. 8 0 3 ) $8. 2 4 0 Use division when separating items into equal groups. To estimate, use compatible numbers. 500 cars were separated into 7 equal groups. 500 7 500 is not compatible with 7. 490 7 490 is compatible with 7 and is close to 500. 490 7 = 70 500 cars separated into 7 equal groups is about 70 cars in each group. Lesson Practice a. Skip this problem. Use short division. b. R 4 ) 9 7 4 c. $. 5 ) $7. 9 5 d. 0 6 ) 1 5 1 2 Saxon Math Intermediate 4 493 Adaptations Lesson 76

Lesson Practice, continued e. $ 0. 8 ) $5 0. 0 0 f. 878 3 3 = 3 ) A reasonable estimate is people. 878 rounds to, and 3 = Written Practice page 487 1. words minutes 25 1 =? 2. pages days 5 =? 1 ) 3. actual $6.99 $8.99 $5.99 estimate 4. week days 1 = 7? 5. 6. decimal number: mixed number: 1.5 1.6 Saxon Math Intermediate 4 494 Adaptations Lesson 76

page 487 7. HIPPOPOTAMI 8. km m 1 = 5? A 5 m B 50 m C 500 m D 5000 m 9. perimeter 15 mm 20 mm 25 mm 10. 117 6 6 = 6 ) A reasonable estimate is students. 117 rounds to, and 6 = students. 11. A B C 11.8 cm + 11.8 cm. Saxon Math Intermediate 4 495 Adaptations Lesson 76

page 488 12. $25 ($19.71 + 98 ) = 13. 12 + 13 + 5 + n = 9 8 $19.71 +. $25.00. = n = n = 14. $5.00 15. 36.21 $..0 16. Associative Property of Multiplication 5 6 9 = 17. Offset. 50 63 = 18. 478 6 19. short division 3 ) 4 3 5 Saxon Math Intermediate 4 496 Adaptations Lesson 76

page 488 20. short division 7 ) 8 6 7 R 21. short division $ 5 ) $1 3. 6 5 22. short division 453 6 = 23. short division R ) 543 4 = 24. short division $4.72 8 = $. ) $4. 7 2 25. n + 6 = 120 n = 26. 4w = 132 27. 4 + 8 + 7 + 6 + 4 + n + 3 + 6 + 5 = 55 w = n = Saxon Math Intermediate 4 497 Adaptations Lesson 76

page 488 28. 90º clockwise N W E S 29. 1 foot 12 inches 30. Which transformations would move ABC to position RST? A R B C T S r and t Saxon Math Intermediate 4 498 Adaptations Lesson 76

LESSON Name 77 Teacher Notes: page 489 Introduce Hint #38 Gram/Kilogram Manipulatives. Review Equivalence Table for Mass and Weight Units on page 1 in the Student Reference Guide. New Concept The units of weight in the U.S. Customary System are ounces (oz), pounds (lb), and tons. 16 oz = 1 lb 2000 lb = 1 ton Example Two pounds is how many ounces? Multiply the loop. pounds ounces 1 16 = 2? 2 16 = 32, so 2 lb = 32 oz Activity 1 page 491 Customary Weight Use your book to complete this activity. Grams (g) and kilograms (kg) are metric units of mass. 1000 g = 1 kg Example Four kilograms is how many grams? Multiply the loop. kg g 1 1000 = 4? 4 1000 = 4000, so 4 kg = 4000 g Saxon Math Intermediate 4 499 Adaptations Lesson 77

New Concept, continued Activity 2 page 492 Metric Mass Use your book to complete this activity. Lesson Practice a. 1 ton = lb b. 7 lb 12 oz 1 2 ton = lb 1 lb = 16 oz 12 oz is how much less than 16 oz? oz Circle the more reasonable measure in each problem: c. tennis ball: 57 g 57 kg d. tennis ball: 5 oz 5 lb e. dog: 6 g 6 kg f. dog: 11 oz 11 lb g. bowling ball: 7 g 7 kg h. bowling ball: 13 oz 13 lb i. lb oz 1 = 7? k. Peaches Nancy has: pounds ounces j. mass or weight? 1 16 = 4? How many ounces of peaches are left? ounces left start 24 used left Saxon Math Intermediate 4 500 Adaptations Lesson 77

Written Practice page 493 1. Consumed by Matt in One Day Water Tea Milk Juice Key: 1 cup 8 ounces a. How many pints of liquid did Matt drink in 1 day? pints cups b. water 1 2 =? ) 000 = 2 c. See page 1 in the Student Reference Guide. 1 qt = cups a. b. c. 2. 1 4 of 56 56 guests 1 guests 4 guests ) guests % in each room guests Saxon Math Intermediate 4 501 Adaptations Lesson 77

page 494 3. 2500? 4. 682 A B C 437 2000 3000 396 5. 6. lb oz 1 = 9? 7. 8. $7,450,000 cm 1 2 3 4 5 6 Use words. Spell out the units. a. centimeters b. millimeters a. b. 9. perimeter ft in. 1 ft. 1 =? 10. 93,417 + 8,915 Saxon Math Intermediate 4 502 Adaptations Lesson 77

page 494 11. 42,718 k 26,054 12. 1307 638 5219 138 + 16 k = 13. $100.00 $ 86.32 14. 405,158 396,370 15. 567 8 = 16. Offset. 30 84 = 17. $2.08 4 = 18. short division $. 4 ) $1 5. 0 0 19. short division 20. short division 21. short division 936 6 = 8 ) 4 5 3 7 R 452 5 = Saxon Math Intermediate 4 503 Adaptations Lesson 77

page 495 22. short division 378 9 = 23. short division 960 7 = 24. 16 n = 100 = n = n = 25. 5b = 10 2 = 26. decimal number: mixed number : b = 3 2 1 0 b = 27. one quarter turn 28. perimeter and area one quarter turn one quarter turn + 3 units 5 units p = a = 29. a. The number of 30. 1 6 of 84 is of. times the number ) b. inches feet 12 1 =? 12 inches Saxon Math Intermediate 4 504 Adaptations Lesson 77

LESSON Name 78 Teacher Note: page 496 Refer students to Classifying Triangles on page 15 in the Student Reference Guide. Classifying Triangles New Concept Triangles can be classified by sides: Equilateral Isosceles Scalene All sides equal At least 2 equal sides No sides equal Triangles can be classified by angles: Acute Right Obtuse All acute angles 1 right angle 1 obtuse angle Activity page 498 Transformations and Congruent Triangles Use your book to complete this activity. Saxon Math Intermediate 4 505 Adaptations Lesson 78

Lesson Practice a. Can a right triangle have two right angles? Why or why not?, because the s would not meet to form a t. b. What is the name for a triangle that has at least two sides equal in length? triangle c. Use a color tile to model a translation, reflection, and rotation. Written Practice page 499 1. 5 ) 00 2. $ 9.12 $ 3.92 3. 1 of 90 2 90 minutes 1 minutes 2 ) 1 minutes 4. fraction not in living room percent not in living room Saxon Math Intermediate 4 506 Adaptations Lesson 78

page 499 5. perimeter a. centimeters b. millimeters cm mm 1 10 = 00? a. b. 6. decimal number mixed number 8.9 8.8 7. See page 1 in the Student Reference Guide. c = 1 qt 8. kg g 1 0 = 3? 9. 389 7 Isabella rounded 389 to. 7 =. Saxon Math Intermediate 4 507 Adaptations Lesson 78

page 500 10. It is afternoon. What time will it be when the minute hand turns 360? 11 10 9 8 12 1 7 6 5 2 3 4 A 11:25 a.m. B 5:56 a.m. C 4:56 p.m. D 5:56 p.m. 11. 3 4 4 5 12. 4.32. 13. 3.65.. 14. $50.00 $. 15. $17.54 $. $. 16. short division 2 ) 5 6 7 R Saxon Math Intermediate 4 508 Adaptations Lesson 78

page 500 17. short division 18. short division $. 6 ) $3 4. 5 6 4 ) 9 7 8 R 19. 398 6 = 20. 47 60 = 21. 8 $6.25 = 22. short division 970 25 = 23. short division 24. short division 25. 8n = 120 372 3 = 491 7 = n = Saxon Math Intermediate 4 509 Adaptations Lesson 78

page 500 26. f 3 2 = 108 27. 7 + 8 + 5 + 4 + n + 2 + 7 + 3 = 54 = f = f = n = 28. perimeter and area 8 units 4 units p = q = 29. Name the transformations that would move ABC to position of WXY. B X A C Y W r and t 30. multiples of 180 180,,, Saxon Math Intermediate 4 510 Adaptations Lesson 78

LESSON 79 page 501 Name Symmetry New Concept A line of symmetry divides a figure in half so that the halves are mirror images of each other. equilateral triangle Saxon Math Intermediate 4 511 Adaptations Lesson 79

New Concept, continued A figure has rotational symmetry if it matches itself as it is rotated. The uppercase letter H has rotational symmetry because it matches its original position when it is turned 180. 1 2 turn Lesson Practice Activity page 503 Reflections and Lines of Symmetry This activity is optional. Draw the lines of symmetry, if any. Write none if there are no lines of symmetry. a. b. c. d. e. f. g. Which figures a-f do not have rotational symmetry? and h. Which figures a-f have reflective symmetry?,, and i. Which of these polygons have reflective symmetry? and A B C D Saxon Math Intermediate 4 512 Adaptations Lesson 79

Written Practice page 505 1. a. total hours shown in graph b. fraction of day spent watching TV c. School begins at 8:30 a.m. What time does it end? Count hours forward. d. Which two activities together take more than half of Franz s day? A sleeping and playing C school and sleeping B school and homework D school and playing 2. 1 5 of 60 ) 60 eggs 3. 2250? First find 2500. A B C 2000 3000 4. $4.27 5. $5.33 $7.64 + a. fraction not shaded b. decimal shaded Saxon Math Intermediate 4 513 Adaptations Lesson 79

page 506 6. hours kilometer 1 0 = 4? 7. 3 7 = Prime? A prime number has only factors. The product of 3 and 7 is. has factors, so it prime. 8. a. perimeter b. Cover tells us to find the area. 5 inches 9. Draw the capital letter E rotated 90º clockwise. E Imagine a pin in the dot. a. b. 10. $20.10 $16.45 11. $98.54 + $ 9.85 12. 380 4 = 13. 97 80 = Saxon Math Intermediate 4 514 Adaptations Lesson 79

page 507 14. short division 5 ) 3 8 4 0 15. $8.63 16. 4.25. 17. short division $. 8 ) $7 0. 0 0 18. short division 6 ) 3 7 9 5 R 19. 4p = 160 64 16 20. 21. short division 287 7 = p = 22. 10 (6 2 + 2 3 ) = 23. perimeter 1.5 cm 0.8 cm a. centimeters b. millimeters cm mm 1 10 = 00? a. 24. What temperature? b. 25. Once around is 360º. See page 507. Twice around is. Saxon Math Intermediate 4 515 Adaptations Lesson 79

page 507 26. a. Which of the letters does not have a line of symmetry? b. Which of the letters has rotational symmetry? 27. a. Try to sketch each of these triangles. Which one cannot be drawn? See page 15 in the Student Reference Guide. A a scalene right triangle C an equilateral right triangle B an isosceles right triangle D an equilateral acute triangle b. An e triangle cannot have a r angle. 28. different amounts using two coins 50 + = 25 + = + = + = + = 5 + = different amounts 29. Cora changed 261 to. divided by 5 is. 30. 175 t = 84 t = word problem: Saxon Math Intermediate 4 516 Adaptations Lesson 79

LESSON Name 80 Teacher Notes: page 509 Review Hint #35 Short Division. Division with Zeros in Three-Digit Answers For additional practice, students may complete Targeted Practice 80. New Concept Use short division: Any number left over goes in front of the next digit. Any final number left over becomes the remainder. Place a digit above each digit. Use zero as a placeholder. 2 0 6 3 ) 6 1 8 0 3 1 7 0 R3 4 ) 1 4 2 8 3 Divide mentally (in your head) when possible. 6 ) 2 4 0 0 Think: 4 6 ) 2 4, so 4 0 0 6 ) 2 4 0 0 Lesson Practice a. Skip this problem. Use short division. b. R 4 ) 8 1 5 c. R 5 ) 4 1 5 2 Use a calculator. Write your answer as a decimal. d. 6 ) 5 4 3 2 e. 7 ) 8 4 5 Saxon Math Intermediate 4 517 Adaptations Lesson 80

Lesson Practice, continued Divide mentally (in your head): f. 5 ) 1 5 0 0 g. 4 ) 2 0 0 0 h. 3m = 1200 m = Written Practice page 512 1. 100% total 30% rain not rain 2. Ivan faster 58 seconds Monty 3. 1 5 100% ) 1 0 0 4. ) 7 2 % % % % % 5. A 2 5 B 3 5 C 4 5 D 5 5 Saxon Math Intermediate 4 518 Adaptations Lesson 80

page 512 6. 5263 First find 5500. A B C 5000 6000 7. Month with 31 days Months in year See page 3 in the Student Reference Guide. 8. kilo 1 kilogram = grams 1 kilometer = meters 9. $579 $385 Cleon could change $579 to, and change $385 to. Then he could subtract from. The estimate would be. Saxon Math Intermediate 4 519 Adaptations Lesson 80

page 513 10. equilateral triangle cm 1 2 3 a. perimeter cm mm 1 0 = 0? b. All of the angles are. a. b. 11. L ml 1 0 = 3? 12. miles day 0 1 = 40? 13. 2n = 150 14. 24.25 (6.2 + 4.8) = 6.2 24.25 +.. n = Saxon Math Intermediate 4 520 Adaptations Lesson 80

page 513 15. 103,279 + 97,814 16. $36.14 + $27.95 17. 39,420 29,516 18. $60.50 n $43.20 n = 19. 604 9 20. 87 60 21. $6.75 4 22. short division 3 ) 6 1 8 23. short division $. 5 ) $2 1. 5 0 24. n + 1467 2459 n = Saxon Math Intermediate 4 521 Adaptations Lesson 80

page 513 25. short division 600 = 4 26. short division 543 6 = 27. short division 472 8 = 28. 9w = 9 2 + (9 2) 9w = w = w = 29. in your head 5 ) 3 0 0 0 Think: 5 ) 3 0 30. a. Draw the line of symmetry. b. Draw the triangle when it is rotated 180. Saxon Math Intermediate 4 522 Adaptations Lesson 80

INVESTIGATION 8 Name page 514 Focus on Analyzing and Graphing Relationships Teacher Note: Introduce Hint #39 Graphing Coordinates, and Hint #40 Coordinate Geometry. Tables show relationships between two quantities. Mrs. Cooke writes the percent of correct answers on each 10-question quiz she grades. The score is the percent of correct answers. 8 correct answers = score of 80% = 80 out of 100 total points Quiz: 10 Questions Number of Score Correct Answers 1 10% 2 20% 3 30% 4 40% 5 50% 6 60% 7 70% 8 80% 9 90% 10 100% Use the table above to answer problems 1 4. 1. seven correct answers = percent 2. a score of 90% = correct answers 3. each quiz = points Saxon Math Intermediate 4 523 Adaptations Investigation 8

INVESTIGATION 8 continued 4. a. multiplication formula that shows the relationship between the two columns of data: number of correct answers = s b. Here is the table Mrs. Cooke uses when grading 20-question tests. Fill in the missing information for correct answers up to 20. Number of Score Correct Answer 1 5% 2 10% 3 15% 4 20% 5 25% 6 30% 7 35% 8 40% 9 45% 10 50% 11 55% Use your table to answer questions 5-8. Saxon Math Intermediate 4 524 Adaptations Investigation 8

INVESTIGATION 8 continued 5. Sonia answered 18 questions correctly. What was her score? 6. Litzel scored 70%. How many questions did she answer correctly? 7. Each test question represents what number of points? 50% = 50 points How many points for 1 correct answer? 8. multiplication formula that shows the relationship between the two columns of data: number of correct answers = 9. Dina s job pays $10 per hour. Complete this table to show how much Dina earns for the number of hours she works. Hours Worked Total Pay 1 $10 2 $20 3 $30 4 $40 Saxon Math Intermediate 4 525 Adaptations Investigation 8

INVESTIGATION 8 continued Graphs also show relationships between two quantities. This graph is another way to show how much Dina earns for each hour worked. Each dot represents both a number of hours and an amount of pay. 60 Total Pay for Hours Worked Total Pay (in dollars) 50 40 30 20 10 0 1 2 3 4 5 6 7 Total Hours 10. Here is the same graph extended to include 8 hours and $80. Graph (draw) the dots for Dina s total pay for each hour up to 8 hours. 80 Total Pay for Hours Worked 70 Total Pay (in dollars) 60 50 40 30 20 10 0 1 2 3 4 5 6 7 8 Total Hours Saxon Math Intermediate 4 526 Adaptations Investigation 8

INVESTIGATION 8 continued The following table and graph show how many miles Rosita hiked at a speed of 4 miles per hour. Miles Hiked (at 4 mi per hr) Miles Hiked (at 4 mi per hr) Hours 1 2 3 Miles 4 8 12 Miles 16 14 12 10 8 6 4 2 0 1 2 3 Hours The dots show how far Rosita hiked in 1, 2, and 3 hours. Every second Rosita hiked, she went a small part of a mile. We show this by drawing a line through the dots. For example, straight up from 1 1 hours is a point on the line at 2 6 miles. 11. How far did Rosita hike in 2 1 2 hours? 12. multiplication formula that shows the relationship between miles and hours: number of hours = 13. Use your formula to find the number of miles Rosita would hike in 5 hours. 5 = Saxon Math Intermediate 4 527 Adaptations Investigation 8

INVESTIGATION 8 continued Activity 1 page 517 Graphing Pay Rates Use your book to complete this activity. Sometimes we want to name points on a grid. We name those points using pairs of numbers called coordinates. The first number comes from the horizontal scale. The second number comes from the vertical scale. Write the coordinates in parentheses. 9 8 7 6 5 4 3 2 1 0 y D (1, 8) C (1, 3) A B 0 1 2 3 4 5 6 7 8 9 x 14. Write the coordinates of point A. (, ) 15. Write the coordinates of point B. (, ) To draw this rectangle, we connect the dots using segments. 1. Connect point A and point B. 2. Connect point B and point C. 3. Connect point C and point D. 4. Connect point D and point A. Activity 2 page 518 Graphing on a Coordinate Grid This activity is optional. Saxon Math Intermediate 4 528 Adaptations Investigation 8