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Lesson 4.1Skills PracticeName DateMath FootballUsing Models to Understand IntegersProblem SetDetermine the ending position by adding and subtracting the indicated steps from each 2011 Carnegie Learningstarting 97.26158.22569.83110.2924Chapter 4Skills Practice 489

Lesson 4.1Skills Practicepage 2Write a number sentence to describe each set of steps forward and backward.Starting 8Number Sentence12 1 (24) 1 7 5 1521. 19 1 (24) 1 3 5 1822. 22 1 (25) 1 8 523. 16 1 (28) 1 5 524. 0 1 (22) 1 7 525. 29 1 (21) 1 6 526. 13 1 (26) 1 5 527. 0 1 (27) 1 9 528. 11 1 (21) 1 9 529. 25 1 (23) 1 4 530. 23 1 (22) 1 8 5490 Chapter 4Skills Practice 2011 Carnegie LearningCalculate each sum.

Lesson 4.1Skills Practicepage 3Name DateWrite a number sentence to describe the results of each roll of two number cubes (numbered 1 through6). The result of the red number cube represents a negative number and the result of the black numbercube represents a positive number.31. Your score starts at 0. You roll a red 5 and a black 3.0 1 (25) 1 3 5 2232. Your score is 4. You roll a red 3 and a black 6.33. Your score is 22. You roll a red 4 and a black 1.34. Your score is 7. You roll a red 6 and a black 2.35. Your score is 25. You roll a red 2 and a black 4. 2011 Carnegie Learning36. Your score is 1. You roll a red 5 and a black 3.37. Your score starts at 0. You roll a red 6 and a black 1.38. Your score is 23. You roll a red 1 and a black 5.Chapter 4Skills Practice 491

Lesson 4.1Skills Practicepage 4Determine a roll of two number cubes (numbered 1 through 6) that will result in a final score of 10. Writea number sentence to describe the results of each roll. The result of the red number cube represents anegative number and the result of the black number cube represents a positive number.Sample answers.Roll of theRed NumberCubeRoll ofthe BlackNumber CubeNumber Sentence39.173617 1 (23) 1 6 5 11040.1841.1542.1943.11244.1645.11446.110 2011 Carnegie LearningStarting Score492 Chapter 4Skills Practice

Lesson 4.2Skills PracticeName DateWalk the LineAdding Integers, Part IProblem SetUse the number line to determine the number described by each statement. Explain your reasoning. 15 10 50510151. Determine the number that is 3 more than 25.The number that is 3 more than 25 is 22. Go to 25 on the number line and then move 3 unitsto the right.2. Determine the number that is 9 more than 24.3. Determine the number that is 12 more than 28. 2011 Carnegie Learning4. Determine the number that is 10 more than 21.5. Determine the number that is 7 less than 3.Chapter 4Skills Practice 493

Lesson 4.2Skills Practicepage 26. Determine the number that is 13 less than 6.7. Determine the number that is 10 less than 2.8. Determine the number that is 4 less than 1.Use the number line to determine each sum.–39. 23 1 8 585–15–10–5051015051015051015101533 1 (28) –15494        Chapter 4    Skills Practice–10–505 2011 Carnegie Learning23 1 (28) 5–8

Lesson 4.2Skills Practicepage 3Name Date10. 9 1 (22) 0–505101529 1 2 5912529 1 (22) 511. 24 1 10 5 2011 Carnegie Learning4 1 (210) 524 1 (210) 54 1 10 5Chapter 4Skills Practice 495

Lesson 4.2Skills Practicepage 412. 5 1 (27) 0–505101525 1 7 5517525 1 (27) 513. 6 1 (28) 526 1 8 526 1 (28) 5496 Chapter 4Skills Practice 2011 Carnegie Learning6185

Lesson 4.2Skills Practicepage 5Name Date14. 212 1 3 0–5051015–15–10–505101512 1 (23) 5212 1 (23) 512 1 3 5Write the absolute values for each pair of integers and explain what they mean.15. 4 5 24 516. 15 544 215 5Each integer is 4 units from 0.17. 213 5 2011 Carnegie Learning 13 519. 28 5 8 518. 7 5 27 520. 9 5 29 5Chapter 4Skills Practice 497

Lesson 4.2Skills Practicepage 6Complete each number line model and then determine the unknown addend.1521. 15 15051015051015051015322. 3 15 29–15–10–5–423. 24 155–15–10–5–124. 21 15 211–15–10–50625. 6 15 22–15–10–5–1326. 213 1–15–10–5827. 8 15 23–15–10–5–728. 27 15 210–15498 Chapter 4Skills Practice–10–5 2011 Carnegie Learning5 27

Lesson 4.3Skills PracticeName DateTwo-Color CountersAdding Integers, Part IIVocabularyDefine the term in your own words.1. additive inversesProblem SetDetermine each sum using the number line model or two-color counters.1. 5 1 (25) 15–10–5051015 2011 Carnegie Learning2. (212) 1 12 53. (22) 1 2 5Chapter 4Skills Practice 499

Lesson 4.3Skills Practicepage 24. 9 1 (29) 5 2011 Carnegie Learning5. 4 1 (24) 5500 Chapter 4Skills Practice

Lesson 4.3Skills Practicepage 3Name Date6. (26) 1 6 5Write a number sentence to represent each model. Cancel out the pairs of counters to show theanswer.7. 2 1 (29) 5 27 or 29 1 2 5 27 2011 Carnegie Learning 8. Chapter 4Skills Practice 501

Lesson 4.3Skills Practice10. 9.page 4 11.12. 2011 Carnegie Learning 502 Chapter 4Skills Practice

Lesson 4.3Skills Practicepage 5Name Date13.14. Draw a picture with two-color counters to represent and solve each number sentence. Cancel out thepairs of counters to show the answer. 2011 Carnegie Learning15. 29 1 3 516. 23 1 9 526 Chapter 4Skills Practice 503

Lesson 4.3Skills Practicepage 618. 2 1 (25) 519. 5 1 (22) 520. 2 1 5 5 2011 Carnegie Learning17. 29 1 (23) 5504 Chapter 4Skills Practice

Lesson 4.3Skills Practicepage 7Name Date22. 27 1 11 523. 211 1 (27) 524. 25 1 12 5 2011 Carnegie Learning21. 211 1 7 5Chapter 4Skills Practice 505

Lesson 4.3Skills Practicepage 8Complete each model and determine the unknown addend. Circle all of the zero pair counters to showthe answer.25. 8 126. 24 15622 27. 210 1 5 22 28. 13 156 2011 Carnegie Learning 53506 Chapter 4Skills Practice

Lesson 4.3Skills Practicepage 9Name Date29. 23 15 2830. 25 150 Determine each sum.31. 242 1 79 53732. 219 1 19 533. 29 1 (238) 534. 117 1 (299) 535. 286 1 51 536. 243 1 80 537. 237 1 (264) 538. 2106 1 78 5 2011 Carnegie LearningDetermine each unknown addend.39.25941. 262 143. 16 145.1 41 5 218595 2331 25 5 1340. 256 142. 30 144.46. 249 15 2845 2301 (214) 5 215 217Chapter 4Skills Practice 507

2011 Carnegie Learning508 Chapter 4Skills Practice

Lesson 4.4Skills PracticeName DateWhat’s the Difference?Subtracting IntegersVocabularyDefine the term in your own words.1. zero pairProblem SetDraw two other models to represent each integer.1. 23 2011 Carnegie Learning2. 4Chapter 4Skills Practice 509

Lesson 4.4Skills Practicepage 23. 2 4. 25 5. 1 2011 Carnegie Learning6. 0510 Chapter 4Skills Practice

Lesson 4.4Skills Practicepage 3Name DateComplete the two-color counter model for each subtraction problem. Circle the subtracted portion andwrite the difference.7. 23 2 6 5 9. 9 2 (25) 5 2011 Carnegie Learning 10. 29 2 5 5 8. 23 2 (26) 529 Chapter 4Skills Practice 511

Skills Practice12. 27 2 2 5 13. 4 2 8 5 11. 7 2 (22) 5page 4 Lesson 4.414. 4 2 (28) 5 2011 Carnegie Learning 512 Chapter 4Skills Practice

Lesson 4.4Skills Practicepage 5Name DateDraw a number line model to solve each subtraction problem.15. 25 2 7 5–5212–( 7)–15–12 –10–5051015–10–5051015–10–505101516. 25 2 (27) 517. 5 2 7 518. 5 2 (27) 519. 3 2 (211) 520. 3 2 11 5 2011 Carnegie Learning21. 23 2 11 5–1522. 23 2 (211) 5–15Chapter 4Skills Practice 513

Lesson 4.4Skills Practicepage 6Rewrite each subtraction expression using addition. Then calculate the result.23. 13 2 (29) 5139124. 222 2 15 5125. 31 2 17 55126. 210 2 (28) 55127. 5 2 (216) 5128. 14 2 23 529. 220 2 (232) 55515130. 22 2 19 5225155Determine the unknown integer in each number sentence.2133.2 (26) 5 2732.2 6 5 22734. 4 21 (26) 5 275 3135. 4 25 23136. 28 15 23837. 8 25 23838. 28 15 3839.1 (212) 5 5040.2 (212) 5 50Determine each absolute value.41. 5 2 9 542. 25 2 9 5443. 5 2 (29) 544. 25 2 (29) 545. 27 2 15 546. 7 2 (215) 547. 27 2 (215) 548. 7 2 15 5514 Chapter 4Skills Practice 2011 Carnegie Learning31.

Lesson 4.5Skills PracticeName DateWhat Do We Do Now?Adding and Subtracting Rational NumbersProblem SetCalculate each sum.  3 1 5  1 51. 2842  51  1 4 2. 7 633  1 5 5  1  5 7 2 4883  5 2 3  2 881  5 5 2  15 485  7 8()4. 5.3 1 (27.45) 5 2011 Carnegie Learning1  52  1 23 3. 12 54Chapter 4Skills Practice 515

Lesson 4.5Skills Practice53  55. 2     1 8 88page 26. 29.21 1 10.39 5()2  1 22 3    57. 23 558. 218.76 1 (211.23) 5()2    51  1 25 9. 14 43516 Chapter 410. 220.245 115.12 5Skills Practice 2011 Carnegie Learning1

Lesson 4.5Skills Practicepage 3Name DateCalculate each difference.  3 2 5  1 511. 284 2011 Carnegie Learning(12. 28.38 211.29 5)  2 2 24  1   513. 73414. 32.85 2 (210.65) 55  2 6 2  515. 24 6316. 219.01 2 10.91 5Chapter 4Skills Practice 517

Lesson 4.5(Skills Practice)1  2 25 1     517. 23 510(page 418. 26.2 2 (23.82) 5)5  2 22 1    519. 10 63 2011 Carnegie Learning20. 217.538 2 12.371 5518 Chapter 4Skills Practice

Lesson 4.5Skills Practicepage 5Name DateAdd or subtract using your algorithms.21. 4.76 2 (22.91) 57.67( )3  1 2 5  522. 2 8624. 2719 2 (2698) 54  2 1 1  525. 22 7426. 2824 1 970 5 2011 Carnegie Learning23. 20.108 2 (24.3) 5Chapter 4Skills Practice 519

Lesson 4.5Skills Practicepage 627. 3.862 1 (27.4) 57   2 6 2  528. 4 31129. 25.5 1 18.002 513  1 30. 2  7    5915 2011 Carnegie Learning( )520 Chapter 4Skills Practice

Lesson 4.1 Skills Practice page 2 Write a number sentence to describe each set of steps forward and backward. Starting Position Steps Backward Steps Forward Number Sentence 11. 12 4 7 12 (24) 7 5 15 12. 27 3 5 13. 16 9 4 14. 14 6 1 15. 25 2 9 16. 0 5 3 17. 23 1 4 18. 28 2 6 19. 0 8 2 20. 19 7 8 Calculate each sum. 21. 19 1 (24) 1 3 5 18 23. 16 .