Answer Keys for Calvert Math

Transcription

1 Answer Keys for Calvert Math Lessons CMAKE0-0 CONTENTS Math Textbook... Math Workbook...7 Math Lesson Manual...0

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3 Answer Keys Math Textbook Lessons 00. Compare and Order Fractions > > < > < 7 < > 9 > 0 > Mind Builder > ,000 0 >,000,000 /, /, / /, /, / /0, /, / 0 0,, Jim men, women, children Mind Builder no yes yes. Adding Fractions with Unlike Denominators /, / 0/, / /9, /9 /, / /, 7/ /, 7/ / / / / / 7/ 7 /9 /9 9 7/ 0 / / / / / of the way yes 7 / miles 9/ of a mile. Subtracting Fractions with Unlike Denominators /, / /, / /9, /9 0/, 7/ /0, /0 / / / / / / 7 / / 9 7/9 0 / /9 / / / / / 7 / / 9 7/ of the fence 0 / of a tank / / of a pizza Mixed Review Answers will vary due to estimation Adding and Subtracting Unlike Denominators 9/ + 0/ 7/ /9 + /9 /9 /0 /0 /0 / / / /0 / /0 /0 / 7 7/ / 9 /9 0 / / / 0CMAKE

4 Math Textbook Answer Key Lessons 00 9/0 of a mile / liters 9,, of a liter poured liters Both Sam s and Jacob s ships will arrive at the space station after 0 orbits. Extension The new ship will meet Jacob s ship after 0 orbits, it will meet Sam s ship after orbits, and it will meet both Sam s and Jacob s ships after 0 orbits. Cumulative Review 7, 7, 0, 9. 0 $ , 7, / / /. 0.7 $.0 7 / 7/ 9 / 0 9/9 / / / $ per hour; $0 / of her day. Problem-Solving Strategy: Relevant Information extra information not enough information Solve not enough information; need to know how much the other ingredients cost $.9; do not need to know how much pasta costs ounces; do not need information about cookies not enough information; need to know what time they started cooking spaghetti Mid-Chapter Review /7 / 9/0 < < 7 < <.9 Adding and Subtracting Mixed Numbers 7 /7 / / / / / / /0 /9 / 7 / / 9 / 0 / 7/ 7/9 / / / 7 / 7 7/ inches / inches 9 / gallons 0 7 / bushels 7/ pounds 7 7/ lb side A 0 / inches, side B 7/ inches 7 / + 7 / /, 7/ / / / / 0 / / of 0 / 0 / 0 /.0 Renaming to Subtract / / / / / / / / 9/0 / / / 7 7/9 0 / 9 7/9 0 / 7 / / 7/0 miles / hours (Adrian and Alexi) Adrian hr Alexi hr Walter hr Adrian Alexi Adrian Walter Walter Alexi 0 0 hr 7 0 hr 7 hr 0CMAKE

5 Math Textbook Answer Key Lessons 00 9 / inches ft ft in. 9 in. 9 in. 9 in. in.. Customary Measurement multiply divide multiply multiply divide divide / , / / ft / gal pint day pints day year qt pt pints year gal gal qt 9 / oz, ft 7 / lb Constructed Response The football field is the longest. After renaming each unit to feet, the hockey field is 00 feet long, the soccer field is 0 feet long, and the football field is 0 feet long.. Computing with Measurement ft, lb h pt 0 oz 9 wk d 7 gal qt ft in. 7 ft 0 in. lb oz 9 qt c wk d in. min 0 s 7.0 m. L 9.07 kg 0 yd ft in. qt c yd ft T 00 lb, ml or. L ml ml + L,000 ml, ml of liquid or ml 0. L + L L. L of liquid Mixed Review quarter, dime, penny $. days in May per day Quarter $0. Dime $0.0 + Penny $0.0 $0. Quarter, Dime, Penny 7 / 7 7/ /9 9 / 0 7 /7 / Chapter Review Language and Concepts false; When subtracting mixed numbers, first subtract the fractions and then subtract the whole numbers. true false; To find the common denominators, list the multiples of both denominators. true false; Sometimes to subtract mixed numbers, you need to rename the top fraction. Skills and 7 / / 9 / 0 / / / / / / / 7 0 / / 9 7/0 0 /0 7 /0 < < < > 7 < 0 oz 9 yd 0 c,00 lb 7,90 yd / lb 7 pt / gal wk d 7 9 gal,00 lb 9 ft 0 0 ft in. gal qt 0 mi 0 ft gal qt c walks; do not need information about walking dogs / of a mile not enough information; need to know distance around park Chapter Test / / / 7/ / 7 /0 /7 9 7/0 0 / > > < > oz yd 7 c,0 yd 9 / lb 0 oz ft 7 in. gal qt mi,70 ft gal qt c / mi ft or 9/0 mi; do not need information about time it took to hike the waterfall not enough information; need to know what time he started and the time it took after his rest to the top of the waterfall Change of Pace 0 equal The numbers in the second column are alternately one more and one less than the numbers in the first column; therefore, the numbers 0CMAKE

6 Math Textbook Answer Key Lessons 00 equal out when adding It will be, because the sum of each row ends with the digits, with the first number (the hundreds place) being the row number minus. For example, the sum of the numbers in the sixth row is, because the sum ends in and the first number is ( ). 0 Diagonally left to right is 00. Diagonally right to left is 0. Answers will vary. Cumulative Test d d c b d d 7 a b 9 b 0 a Chapter 7 7. Multiplying Whole Numbers and Fractions $9 7 boys cards 9 Yong Constructed Response 0 Six students received a perfect score because /. Pictures will vary. Possible picture: min 7 / of the cards / of the brownies eaten brownies 9 9 remaining brownies Mind Builder of the brownies is what Tina ate. 7. Multiplying Fractions Exploration Exercise See student s work. / / / / /0 / / / / / /7 9/ 7/ / 7 /9 /0 9 /7 0 /7 /0 / / / 7/7 Cumulative Review /0 0 / 7 / 7/0 9 7/0 0 /,9,0, 0.0, R R.7 0 min h days 7. Multiplying a Mixed Number by a Fraction and by a Whole Number / 7/ / / / 9 7 / 9 > 0 < / acres small glasses and / 0CMAKE

7 Math Textbook Answer Key Lessons 00 Constructed Response TJ spent $.0. He spent $ on shoes ($ / $) and $0.0 on a snack ($ / $0.0) for a total of $.0 ($ + $0.0 $.0). 7. Problem-Solving Strategy: Logical Reasoning Marcia, Fred, Al Jim, Scott, Ed Solve Bill: dog; Yani: hamster; Sue: canary Travis: turkey, sports drink; Hakim: ham, chocolate milk; Niguel: pb & j, water Mid-Chapter Review 0 /7 / / 7 0 / 7. Multiplying Mixed Numbers 0/ / /7 / / 0 / 0 /0 / 9/ 7 / / 9 / 0 9 hr / pages Yes. Answers will vary. Possible answer: / /. Constructed Response Rachel bought / pounds for her neighbors. Multiply to solve. 7. Dividing a Whole Number by a Fraction / 9/ / / /0 / 7 / / 9 / 9 / 0 /7 7 / 9 0 hair-ties 0 0 bottles 00 nickels students 7.7 Dividing Fractions 9/ / / / / /7 7/ / /7 7 / / / /7 / of an acre 7/ of a pound change purses Constructed Response Johnny forgot to multiply by the reciprocal of the divisor; 7/ 7. Problem-Solving Strategy: Solve a Simpler Problem 9 kinds matches Solve rectangles rectangles,00 0 gifts laps blocks; 9 ways Start End There is no diagonal travel, so, units (or blocks) are needed from beginning to end. Since there is no diagonal travel, one can only travel north or east. This can only be done 9 ways. (The ringed numbers are for travel north.) Thursday 7 00 quarters 0CMAKE

8 Math Textbook Answer Key Lessons 00 Chapter 7 Review Language and Concepts c a b Skills and / /7 / 7 9 /7 0 / 9/0 9 7/ 7/9 7 / 99/ /9 /9 9 / 0 / / / /9 /7 / 9 / 7 7 /7 9 / 0 / /0 / / h rackets / cup 7 / /7 is greater because / will be multiplied by 7/ which is greater than being multiplied by /7. Chapter 7 Test /9 / /0 / / 7 7/ 9 /9 0 / 9/ / /0 / / / 7 / 7 / 9 0 / / /7 / /0 / Answers will vary. Possible answers: / and /, / and /0, 0/ and /. 7 / ft /0 lb 9 / square meters Change of Pace straight C B same Cumulative Test c d b b b d 7 c b 9 d 0 a 0CMAKE

9 Answer Keys Math Workbook Lessons 00 Practice 9 Compare and Order Fractions < < > > < 7 9 > 0 < > < /, /, / /, /, / /0, /, / Andrew 7 yellow, blue, red Practice 9 Adding Fractions with Unlike Denominators / /0 7/ / /9 /9 7 / / 9 9/0 0 / / 7/ / / 7/ n / + /; / of a pizza Practice 9 Subtracting Fractions with Unlike Denominators 7/0 / / 7/ / /0 7 / / 9 / 0 / / / / /0 / /0 7 n / /; / of an hour n / /; /0 of a pitcher Practice 9 More Adding and Subtracting / /0 / 7/ / /0 7 / / 9 / 0 / / 9/ /0 / /0 7/ 7 n / + /; / mi n / /; 9/0 of a tank of gas Practice 9 Problem-Solving Strategy: Relevant Information scouts; extra information: two did not vote 7 pupils; extra information: pupils had hamburgers. Problem cannot be solved. The dimensions of the shelf are missing. / cup 9 cards packages; extra information: cost of yarn 7 motorboats; extra information: sailboats Problem cannot be solved. Yesterday s attendance is missing. 9 students; extra information: teachers 0 miles; extra information: Kevin walks / mile. Practice 9 Adding and Subtracting Mixed Numbers / 9/0 / 9 /0 / / 7 / 7 / 9 / 0 / / / n / /; / mi n / ; / pizzas n / + /; / cups Mixed Practice 09,99 Enrichment 97 Renaming Mixed Numbers / / 7 / / / 7 9 / 9 9 / 0 / 7 / /7 Enrichment 9 Renaming Sums 7/ / / 7 9/ / / 7 7 / 0 / 9 7/ 0 7 / 0 9/0 / 7 / 7 / 0 /0 Practice 99 Renaming to Subtract 7/ / / 7 7/ 7/ 9/ 7 / 0 / 9 7/ 0 / 7 / 9/ n / /; / in. n / /; / s Mixed Practice 09 $7,0 points Enrichment 00 Renaming Fractions to Subtract Mixed Numbers n / /; / miles n / /; / qt n / 7 /; / of a lb n 0 / 7 /; / gallons n 0 / /; / lb Practice 0 Length: Customary Units 9 0,0 0 / / 7 0 / / , 00 0 / yd 9 / in. 0 0 yd Practice 0 Weight: Customary Units 7,000 / 7 /,000 7 / 7 9 / 0 9 n.,000;,00 lb n ( ) ; lb Practice 0 Capacity: Customary Units / / / / 0 / / 7 oz 9 oz Practice 0 Computing with Measurement 9 ft 0 in. lb oz 0 qt c 7 wk d yd in. min 0 s 7. kg.07 kg 9 lb oz 0 pt gal qt gal qt ft 0 h min yr d 7 T lb 7 9 kg 7 kg 09 g 9 mi yd 0 d h 7 gal qt gal no 0 lb oz 0CMAKE 7

10 Math Workbook Answer Key Lessons 00 Mixed Practice 0. 7,90 9 R 0 Enrichment 0 : Patterns In just these problems, when you add and multiply a number by a given number, the numerals in the sum will be the reverse of the numerals in the product.,, 9,, Review 0 Chapter Review / / 7/ / 7/0 7 / / 9 9/ 0 7 /0 / /, / /, 9/ /0, 0/0 < > 7 < < 9 < 0 > < < / / 7 / 7 / 7 / / 9 / 0 h min in. 7 lb oz.00 kg 7 yd 0 in. d 0 h min 9 / of a pizza 0 Three more flights; extra information: She has been to the Bahamas, France, and Arizona this year. Problem cannot be solved. Nick s total beginning weight and target weight are missing. Test 07 Chapter Test Prep d a b a a c 7 c b 9 c 0 b Chapter 7 Practice 0 Fraction of a Number Practice 09 Multiplying Whole Numbers and Fractions / / 7 / 9 7 / 0 0 / /9 / 9 /7 / n / ; cars n /,;,0 biographies Mixed Practice 0 questions 7 bags solid ties bottles Practice 0 Multiplying Fractions /7 9/0 / / / / 7 /7 / 9 /9 0 9/ /9 / n / /; / of the books n / /; / part is wheat. Mixed Practice 0,00,000 Practice Multiplying a Mixed Number by a Fraction and by a Whole Number /7 /9 /7 n / /; / of an acre n / /; / bushels Practice Problem-Solving Strategy: Logical Reasoning Tom German shepherd; Tina poodle; Tyrone fox terrier; Teresa Labrador retriever Mr. Brown president; Mrs. Black accountant; Mr. Green clerk Donna Practice Multiplying Mixed Numbers / / 7/ 9 / 0 0 / / 7 / n 0 / /; / lb n / /; / hours Practice Dividing a Whole Number by a Fraction / 0/7 /9 / /7 7, 7, 9, 0 0 / n 00 /; 00 pieces 0 n (0 ) /; 0 /-cup portions Practice Dividing Fractions / 0/9 7/ 0 9/ / 7,, 9, 0 / / / / / 7 /7 / 9 n / ; / of the basement Practice Problem-Solving Strategy: Solve a Simpler Problem n 0 ; 0 boxes n, ; 9 boxes n 0 ; 7 bushes n,00 ;,0 flowers n, ; 7 boxes n 00 ;,000 roses 7, 9; 0 ft n $. ; $. Mixed Practice 0,000 0,09 0,07,0,9 Enrichment 7 Temperature a c a c b 7 F 7 F F 9 F 0CMAKE

11 Math Workbook Answer Key Lessons 00 Review Chapter 7 Review / / / / 7 / / / / / /7 / 7 /9 / / / Buster The Powerful Lion; Beth The Golden Chair; Brittany A Girl and a Gazelle; Bill Final Fight 9/0 of an oz 7 7/9 in. Test 9 a a d d b b 7 c d 9 c 0 d 0CMAKE 9

12 Answer Keys Math Lessons 00 Lesson Manual / /0; / /0 LESSON /9 7/ 7/ LESSON 90 0 LESSON / / /7 LESSON 9 LESSON 0/ / / / 7/ 9/9 /0 / LESSON / / / / /9 9/ / / /0, /, / LESSON LESSON 7/ / 7/ / 7/0 /9 LESSON 7 /0 / 9 / (The first addend should be /.) LESSON feet 0 pounds ounces cup gallon / 7/ / / /9 /7 ; combinations Skill Development n / $.00; $.00 LESSON 9 LESSON 97 LESSON 9 LESSON 99 Practice n / + /; /0 yards n / + /; / cups n / /; 7/0 pounds n / + /; 9/ of her garden n / $.00; $0.00 n / ; / pounds 7 n / ; / skeins LESSON 9 The student should be able to explain how he would convert the feet to yards. 0CMAKE 0