Division Answers Ending with Zero

Transcription

1 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 R 1 3 ) Use compatible numbers to estimate in division. 5 ) ) is close to 254, and it is divisible by 5. Lesson Practice Use short division. a. 0 3 ) b. 0 4 ) c. 0 R 5 ) d. 0 R 4 ) e. R 3 ) 9 1 f. 2 ) 4 1 R Saxon Math Intermediate Adaptations Lesson 71

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

3 page pennies $ a. 1 4 of 280 ) dimes $. 2 quarters $. 3 nickels $ on a field trip not on a field trip 280 Students students students students students b. 1 4 = % of 560 ) mm cm a. centimeters b. millimeters a. b. 9. first 4 multiples of Shade to show the comparison. 90,,, Use fraction pieces. Saxon Math Intermediate Adaptations Lesson 71

4 page miles hours 12 1 =? 12. $ $ , , $20.00 $ , , $ Saxon Math Intermediate Adaptations Lesson 71

5 page short division 21. short division 22. short division 3 ) ) R 5 ) R 23. short division = 24. short division = Saxon Math Intermediate Adaptations Lesson 71

6 page = m = = + + m = m = 27. 6n = Use an inch ruler to find the lengths of segments AB, BC, and AC. A B C AB = BC = n = AC = cm 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 Adaptations Lesson 71

7 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 + = + = Saxon Math Intermediate Adaptations Lesson 72 25

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

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

10 page perimeter 11. multiples of 90 cm m =? 1 m 1 m 1 m 90,,, 1 m 12. $1.68 $0.00 $0. + $ $10 ($ $2.17) = $6.46 $10.00 $. $. First I a + = Then I s = = 16. offset offset = Saxon Math Intermediate Adaptations Lesson 72

11 page short division 2 ) R 19. short division 5 ) short division 9 ) R 21. short division = 22. short division = 23. short division = 24. short division = 25. short division = 26. 5n = 120 n = 27. a. b. total score Kamili games won needs to win teammates altogether a. b. Saxon Math Intermediate Adaptations Lesson 72

12 page 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 Adaptations Lesson 72

13 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 Adaptations Lesson 73

14 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 Adaptations Lesson 73

15 Written Practice page of 48 = pencils ) sharpened 1 2 not sharpened 48 pencils pencils pencils 2. 1 of 60 = ) 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 Adaptations Lesson 73

16 page cm mm 1 10 =? feet in mile bridge cm 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 ) $ $ ,546 37, n n = Saxon Math Intermediate Adaptations Lesson 73

17 page $ $ short division 19. short division 20. short division 7 ) R 5 ) 9 8 R 3 ) short division = 22. short division = 23. short division = m = 135 = m = m = 25. z a = = a = z = a = Saxon Math Intermediate Adaptations Lesson 73

18 page 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 Adaptations Lesson 73

19 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) 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 Adaptations Lesson 74

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

21 page What fraction of this set is not shaded? 9. L ml 1 = 2? 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 Adaptations Lesson 74

22 page $6.15 ($ $1.20) = $0.57 $ , = 16. $ Offset = 18. $ short division 9 ) R Saxon Math Intermediate Adaptations Lesson 74

23 page short division 21. short division 7 ) R 5 ) R 22. short division 23. short division = ) R 360 = 4 ) 24. short division n = = = n = n = y 205 y = Saxon Math Intermediate Adaptations Lesson 74

24 page = 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 Adaptations Lesson 74

25 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 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 Adaptations Lesson 75

26 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 Adaptations Lesson 75

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

28 page = % 10. a. Carrots are the favorite of how many students? b. broccoli carrots altogether Number of Students Favorite Vegetables of the Class Broccoli Carrots Green Beans a. b increase of 10 degrees 12. Turn upright. 0 B 10 F wise 13. $ $ Saxon Math Intermediate Adaptations Lesson 75

29 page short division 17. short division 18. short division 8 ) R 2 ) R 7 ) short division 20. short division 21. short division ) R ) ) n $ n = a = = a = a = Saxon Math Intermediate Adaptations Lesson 75

30 page 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 Adaptations Lesson 75

31 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 R 2 3 ) Use short division to divide money. Place the decimal point in the answer directly above the decimal point inside the division box. $ ) $ Use division when separating items into equal groups. To estimate, use compatible numbers. 500 cars were separated into 7 equal groups is not compatible with is compatible with 7 and is close to = 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 ) c. $. 5 ) $ d. 0 6 ) Saxon Math Intermediate Adaptations Lesson 76

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

33 page 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 = 6 ) A reasonable estimate is students. 117 rounds to, and 6 = students. 11. A B C 11.8 cm cm. Saxon Math Intermediate Adaptations Lesson 76

34 page $25 ($ ) = n = 9 8 $ $ = n = n = 14. $ $ Associative Property of Multiplication = 17. Offset = short division 3 ) Saxon Math Intermediate Adaptations Lesson 76

35 page short division 7 ) R 21. short division $ 5 ) $ short division = 23. short division R ) = 24. short division $ = $. ) $ n + 6 = 120 n = 26. 4w = n = 55 w = n = Saxon Math Intermediate Adaptations Lesson 76

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

37 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 g = 1 kg Example Four kilograms is how many grams? Multiply the loop. kg g = 4? = 4000, so 4 kg = 4000 g Saxon Math Intermediate Adaptations Lesson 77

38 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 Adaptations Lesson 77

39 Written Practice page 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 of guests 1 guests 4 guests ) guests % in each room guests Saxon Math Intermediate Adaptations Lesson 77

40 page ? A B C lb oz 1 = 9? $7,450,000 cm Use words. Spell out the units. a. centimeters b. millimeters a. b. 9. perimeter ft in. 1 ft. 1 =? , ,915 Saxon Math Intermediate Adaptations Lesson 77

41 page ,718 k 26, k = 13. $ $ , , = 16. Offset = 17. $ = 18. short division $. 4 ) $ short division 20. short division 21. short division = 8 ) R = Saxon Math Intermediate Adaptations Lesson 77

42 page short division = 23. short division = n = 100 = n = n = 25. 5b = 10 2 = 26. decimal number: mixed number : b = 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 of 84 is of. times the number ) b. inches feet 12 1 =? 12 inches Saxon Math Intermediate Adaptations Lesson 77

43 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 Adaptations Lesson 78

44 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 ) $ 9.12 $ of minutes 1 minutes 2 ) 1 minutes 4. fraction not in living room percent not in living room Saxon Math Intermediate Adaptations Lesson 78

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

46 page It is afternoon. What time will it be when the minute hand turns 360? A 11:25 a.m. B 5:56 a.m. C 4:56 p.m. D 5:56 p.m $50.00 $. 15. $17.54 $. $. 16. short division 2 ) R Saxon Math Intermediate Adaptations Lesson 78

47 page short division 18. short division $. 6 ) $ ) R = = $6.25 = 22. short division = 23. short division 24. short division 25. 8n = = = n = Saxon Math Intermediate Adaptations Lesson 78

48 page f 3 2 = n = 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 ,,, Saxon Math Intermediate Adaptations Lesson 78

49 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 Adaptations Lesson 79

50 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 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 Adaptations Lesson 79

51 Written Practice page 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 of 60 ) 60 eggs ? First find A B C $ $5.33 $ a. fraction not shaded b. decimal shaded Saxon Math Intermediate Adaptations Lesson 79

52 page hours kilometer 1 0 = 4? = 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 $ $ $ = = Saxon Math Intermediate Adaptations Lesson 79

53 page short division 5 ) $ short division $. 8 ) $ short division 6 ) R 19. 4p = short division = p = ( ) = 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 Adaptations Lesson 79

54 page 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 t = 84 t = word problem: Saxon Math Intermediate Adaptations Lesson 79

55 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 ) R3 4 ) Divide mentally (in your head) when possible. 6 ) Think: 4 6 ) 2 4, so ) Lesson Practice a. Skip this problem. Use short division. b. R 4 ) c. R 5 ) Use a calculator. Write your answer as a decimal. d. 6 ) e. 7 ) Saxon Math Intermediate Adaptations Lesson 80

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

57 page First find A B C 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 Adaptations Lesson 80

58 page equilateral triangle cm 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 = ( ) = n = Saxon Math Intermediate Adaptations Lesson 80

59 page , , $ $ ,420 29, $60.50 n $43.20 n = $ short division 3 ) short division $. 5 ) $ n n = Saxon Math Intermediate Adaptations Lesson 80

60 page short division 600 = short division = 27. short division = 28. 9w = (9 2) 9w = w = w = 29. in your head 5 ) Think: 5 ) a. Draw the line of symmetry. b. Draw the triangle when it is rotated 180. Saxon Math Intermediate Adaptations Lesson 80

61 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% % Use the table above to answer problems seven correct answers = percent 2. a score of 90% = correct answers 3. each quiz = points Saxon Math Intermediate Adaptations Investigation 8

62 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 Adaptations Investigation 8

63 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 Adaptations Investigation 8

64 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) 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) Total Hours Saxon Math Intermediate Adaptations Investigation 8

65 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 Miles Miles 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 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 Adaptations Investigation 8

66 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 y D (1, 8) C (1, 3) A B 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 Adaptations Investigation 8