NYS COMMON CORE MATHEMATICS … common core mathematics curriculum 6•4lesson 2 ... gcf of 8 and 20...
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Lesson 2: The Relationship of Multiplication and Division Date: 12/11/13 © 2013 Common Core, Inc. Some rights reserved. commoncore.org This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. NYS COMMON CORE MATHEMATICS CURRICULUM 6•4 Lesson 2 Division of Fractions – Round 1 Directions: Determine the quotient of the fractions. 1. 1 2 ÷ 3 5 16. 6 7 8 ÷ 11 2 3 2. 5 6 ÷ 1 5 17. 5 5 6 ÷3 1 2 3. 3 7 ÷ 6 11 18. 10 5 8 ÷ 12 3 7 4. 2 5 ÷ 8 9 19. 9 1 3 ÷8 2 5 5. 1 6 ÷ 9 10 20. 3 4 ÷6 7 10 6. 11 12 ÷ 8 9 21. 2 1 3 ÷3 5 6 7. 5 6 ÷ 10 13 22. 2 4 5 ÷7 9 10 8. 7 8 ÷ 13 15 23. 5 8 9 ÷3 3 5 9. 3 5 ÷ 7 9 24. 12 5 9 ÷5 10. 14 17 ÷ 13 20 25. 1 5 6 ÷2 6 7 11. 3 1 2 ÷4 4 5 26. 10 ÷ 5 8 9 12. 6 1 5 ÷6 3 4 27. 14 3 5 ÷ 10 13. 2 1 4 ÷3 1 8 28. 7 9 11 ÷1 9 10 14. 1 3 5 ÷ 7 8 29. 15 2 3 ÷ 24 15. 1 5 ÷4 1 2 30. 32 ÷ 12 6 7 Number Correct: ______
Transcript of NYS COMMON CORE MATHEMATICS … common core mathematics curriculum 6•4lesson 2 ... gcf of 8 and 20...
Lesson 2: The Relationship of Multiplication and Division Date: 12/11/13
© 2013 Common Core, Inc. Some rights reserved. commoncore.org This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM 6•4 Lesson 2
Division of Fractions – Round 1
Directions: Determine the quotient of the fractions.
1. 12
÷35
16. 678
÷ 1123
2. 56
÷15
17. 556
÷ 312
3. 37
÷6
1118. 10
58
÷ 1237
4. 25
÷89
19. 913
÷ 825
5. 16
÷9
1020.
34
÷ 67
10
6. 1112
÷89
21. 213
÷ 356
7. 56
÷1013
22. 245
÷ 79
10
8. 78
÷1315
23. 589
÷ 335
9. 35
÷79
24. 1259
÷ 5
10. 1417
÷1320
25. 156
÷ 267
11. 312
÷ 445
26. 10 ÷ 589
12. 615
÷ 634
27. 1435
÷ 10
13. 214
÷ 318
28. 79
11÷ 1
910
14. 135
÷78
29. 1523
÷ 24
15. 15
÷ 412
30. 32 ÷ 1267
Number Correct: ______
Lesson 2: The Relationship of Multiplication and Division Date: 12/11/13
© 2013 Common Core, Inc. Some rights reserved. commoncore.org This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM 6•4 Lesson 2
Division of Fractions – Round 2
Directions: Determine the quotient of the fractions.
1. 12
÷34
16. 78
÷ 214
2. 35
÷17
17. 34
÷ 235
3. 56
÷18
18. 415
÷ 213
4. 38
÷59
19. 438
÷27
5. 14
÷25
20. 45
÷ 218
6. 78
÷9
1021. 1
12
÷ 356
7. 8
11÷
45
22. 323
÷ 214
8. 56
÷7
1223. 4
35
÷ 134
9. 34
÷89
24. 712
÷ 613
10. 7
11÷
47
25. 345
÷ 29
10
11. 134
÷12
26. 356
÷ 212
12. 1
10÷ 2
34
27. 334
÷ 418
13. 523
÷79
28. 5 ÷ 456
14. 56
÷ 612
29. 314
÷ 2
15. 67
÷ 213
30. 8 ÷ 513
Number Correct: ______ Improvement: ______
Lesson 8: Replacing Numbers with Letters Date: 12/11/13
© 2013 Common Core, Inc. Some rights reserved. commoncore.org This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM 6•4 Lesson 8
Division of Fractions – Round 1
Directions: Determine the quotient of the fractions.
1. 4
10÷
210
16. 318
÷23
2. 9
12÷
312
17. 156
÷12
3. 6
10÷
410
18. 58
÷ 234
4. 28
÷38
19. 13
÷ 145
5. 27
÷67
20. 34
÷ 23
10
6. 119
÷89
21. 215
÷ 116
7. 5
13÷
1013
22. 249
÷ 135
8. 78
÷1316
23. 129
÷ 325
9. 35
÷7
1024. 2
23
÷ 3
10. 9
30÷
35
25. 134
÷ 225
11. 13
÷45
26. 4 ÷ 129
12. 25
÷34
27. 315
÷ 6
13. 34
÷59
28. 256
÷ 113
14. 45
÷7
1229. 10
23
÷ 8
15. 38
÷52
30. 15 ÷ 235
Number Correct: ______
Lesson 8: Replacing Numbers with Letters Date: 12/11/13
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NYS COMMON CORE MATHEMATICS CURRICULUM 6•4 Lesson 8
Division of Fractiona – Round 2
Directions: Determine the quotient of the fractions.
1. 102
÷52
16. 58
÷ 134
2. 65
÷35
17. 14
÷ 225
3. 107
÷27
18. 235
÷38
4. 38
÷58
19. 135
÷29
5. 14
÷3
1220. 4 ÷ 2
38
6. 75
÷3
1021. 1
12
÷ 5
7. 8
15÷
45
22. 313
÷ 134
8. 56
÷5
1223. 2
25
÷ 114
9. 35
÷79
24. 312
÷ 223
10. 3
10÷
39
25. 145
÷ 234
11. 34
÷79
26. 316
÷ 135
12. 7
10÷
38
27. 335
÷ 218
13. 4 ÷49
28. 5 ÷ 116
14. 58
÷ 7 29. 334
÷ 512
15. 9 ÷23
30. 423
÷ 514
Number Correct: ______ Improvement: ______
Lesson 11: Factoring Expressions Date: 12/11/13
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NYS COMMON CORE MATHEMATICS CURRICULUM 6•4 Lesson 11
Greatest Common Factor – Round 1
Directions: Determine the greatest common factor of each pair of numbers.
1. GCF of 10 and 50 16. GCF of 45 and 72
2. GCF of 5 and 35 17. GCF of 28 and 48
3. GCF of 3 and 12 18. GCF of 44 and 77
4. GCF of 8 and 20 19. GCF of 39 and 66
5. GCF of 15 and 35 20. GCF of 64 and 88
6. GCF of 10 and 75 21. GCF of 42 and 56
7. GCF of 9 and 30 22. GCF of 28 and 42
8. GCF of 15 and 33 23. GCF of 13 and 91
9. GCF of 12 and 28 24. GCF of 16 and 84
10. GCF of 16 and 40 25. GCF of 36 and 99
11. GCF of 24 and 32 26. GCF of 39 and 65
12. GCF of 35 and 49 27. GCF of 27 and 87
13. GCF of 45 and 60 28. GCF of 28 and 70
14. GCF of 48 and 72 29. GCF of 26 and 91
15. GCF of 50 and 42 30. GCF of 34 and 51
Number Correct: ______
Lesson 11: Factoring Expressions Date: 12/11/13
© 2013 Common Core, Inc. Some rights reserved. commoncore.org This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM 6•4 Lesson 11
Greatest Common Factor – Round 2
Directions: Determine the greatest common factor of each pair of numbers.
1. GCF of 20 and 80 16. GCF of 33 and 99
2. GCF of 10 and 70 17. GCF of 38 and 76
3. GCF of 9 and 36 18. GCF of 26 and 65
4. GCF of 12 and 24 19. GCF of 39 and 48
5. GCF of 15 and 45 20. GCF of 72 and 88
6. GCF of 10 and 95 21. GCF of 21 and 56
7. GCF of 9 and 45 22. GCF of 28 and 52
8. GCF of 18 and 33 23. GCF of 51 and 68
9. GCF of 12 and 32 24. GCF of 48 and 84
10. GCF of 16 and 56 25. GCF of 21 and 63
11. GCF of 40 and 72 26. GCF of 64 and 80
12. GCF of 35 and 63 27. GCF of 36 and 90
13. GCF of 30 and 75 28. GCF of 28 and 98
14. GCF of 42 and 72 29. GCF of 39 and 91
15. GCF of 30 and 28 30. GCF of 38 and 95
Number Correct: ______ Improvement: ______
Lesson 17: Write Expressions in Which Letters Stand for Numbers Date: 12/11/13
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NYS COMMON CORE MATHEMATICS CURRICULUM 6•4 Lesson 17
Addition of Decimals – Round 1
Directions: Determine the sum of the decimals.
1. 1.3 + 2.1 18. 14.08 + 34.27
2. 3.6 + 2.2 19. 24.98 + 32.05
3. 8.3 + 4.6 20. 76.67 + 40.33
4. 14.3 + 12.6 21. 46.14 + 32.86
5. 21.2 + 34.5 22. 475.34 + 125.88
6. 14.81 + 13.05 23. 561.09 + 356.24
7. 32.34 + 16.52 24. 872.78 + 135.86
8. 56.56 + 12.12 25. 788.04 + 324.69
9. 78.03 + 21.95 26. 467 + 32.78
10. 32.14 + 45.32 27. 583.84 + 356
11. 14.7 + 32.8 28. 549.2 + 678.09
12. 24.5 + 42.9 29. 497.74 + 32.1
13. 45.8 + 32.4 30. 741.9 + 826.14
14. 71.7 + 32.6 31. 524.67 + 764
15. 102.5 + 213.7 32. 821.3 + 106.87
16. 365.8 + 127.4 33. 548 + 327.43
17. 493.4 + 194.8 34. 108.97 + 268.03
Number Correct: ______
Lesson 17: Write Expressions in Which Letters Stand for Numbers Date: 12/11/13
© 2013 Common Core, Inc. Some rights reserved. commoncore.org This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM 6•4 Lesson 17
Addition of Decimals – Round 2
Directions: Determine the sum of the decimals.
1. 3.4 + 1.2 18. 67.82 + 37.9
2. 5.6 + 3.1 19. 423.85 + 47.5
3. 12.4 + 17.5 20. 148.9 + 329.18
4. 10.6 + 11.3 21. 4 + 3.25
5. 4.8 + 3.9 22. 103.45 + 6
6. 4.56 + 1.23 23. 32.32 + 101.8
7. 32.3 + 14.92 24. 62.1 + 0.89
8. 23.87 + 16.34 25. 105 + 1.45
9. 102.08 + 34.52 26. 235.91 + 12
10. 35.91 + 23.8 27. 567.01 + 432.99
11. 62.7 + 34.89 28. 101 + 52.3
12. 14.76 + 98.1 29. 324.69 + 567.31
13. 29.32 + 31.06 30. 245 + 0.987
14. 103.3 + 32.67 31. 191.67 + 3.4
15. 217.4 + 87.79 32. 347.1 + 12.89
16. 22.02 + 45.8 33. 627 + 4.56
17. 168.3 + 89.12 34. 0.157 + 4.56
Number Correct: ______ Improvement: ______
Lesson 19: Substituting to Evaluate Addition and Subtraction Expressions Date: 12/15/13
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NYS COMMON CORE MATHEMATICS CURRICULUM 6•4 Lesson 19
Subtraction of Decimals – Round 1
Directions: Subtract the decimals to determine the difference.
1. 9.4 − 4.1 16. 41.72 − 33.9
2. 7.4 − 3.2 17. 354.65 − 67.5
3. 49.5 − 32.1 18. 448.9 − 329.18
4. 20.9 − 17.2 19. 8 − 5.38
5. 9.2 − 6.8 20. 94.21 − 8
6. 7.48 − 2.26 21. 134.25 − 103.17
7. 58.8 − 43.72 22. 25.8 − 0.42
8. 38.99 − 24.74 23. 115 − 1.65
9. 116.32 − 42.07 24. 187.49 − 21
10. 46.83 − 35.6 25. 345.77 − 248.69
11. 54.8 − 43.66 26. 108 − 54.7
12. 128.43 − 87.3 27. 336.91 − 243.38
13. 144.54 − 42.09 28. 264 − 0.742
14. 105.4 − 68.22 29. 174.38 − 5.9
15. 239.5 − 102.37 30. 323.2 − 38.74
Number Correct: ______
Lesson 19: Substituting to Evaluate Addition and Subtraction Expressions Date: 12/15/13
© 2013 Common Core, Inc. Some rights reserved. commoncore.org This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM 6•4 Lesson 19
Subtraction of Decimals – Round 2
Directions: Subtract the decimals to determine the difference.
1. 8.4 − 5.4 16. 14 − 10.32
2. 5.6 − 3.1 17. 43.37 − 28
3. 9.7 − 7.2 18. 24.56 − 18.88
4. 14.3 − 12.1 19. 33.55 − 11.66
5. 34.5 − 13.2 20. 329.56 − 284.49
6. 14.86 − 13.85 21 574.3 − 342.18
7. 43.27 − 32.14 22. 154 − 128.63
8. 48.48 − 27.27 23. 247.1 − 138.57
9. 64.74 − 31.03 24. 12 − 3.547
10. 98.36 − 24.09 25. 1.415 − 0.877
11. 33.54 − 24.4 26. 185.774 − 154.86
12. 114.7 − 73.42 27. 65.251 − 36.9
13. 45.2 − 32.7 28. 144.2 − 95.471
14. 74.8 − 53.9 29. 2.11 − 1.949
15. 238.4 − 114.36 30. 100 − 34.746
Number Correct: ______ Improvement: ______
Lesson 25: Finding Solutions to Make Equations True Date: 12/16/13
© 2013 Common Core, Inc. Some rights reserved. commoncore.org This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM 6•4 Lesson 25
Division of Fractions – Round 1
Directions: Determine the quotients of the fractions.
1. 12
÷35
16. 678
÷ 1123
2. 56
÷15
17. 556
÷ 312
3. 37
÷6
1118. 10
58
÷ 1237
4. 25
÷89
19. 913
÷ 825
5. 16
÷9
1020.
34
÷ 67
10
6. 1112
÷89
21. 213
÷ 356
7. 56
÷1013
22. 245
÷ 79
10
8. 78
÷1315
23. 589
÷ 335
9. 35
÷79
24. 1259
÷ 5
10. 1417
÷1320
25. 156
÷ 267
11. 312
÷ 445
26. 10 ÷ 589
12. 615
÷ 634
27. 1435
÷ 10
13. 214
÷ 318
28. 79
11÷ 1
910
14. 135
÷78
29. 1523
÷ 24
15. 15
÷ 412
30. 32 ÷ 1267
Number Correct: ______
Lesson 25: Finding Solutions to Make Equations True Date: 12/16/13
© 2013 Common Core, Inc. Some rights reserved. commoncore.org This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM 6•4 Lesson 25
Division of Fractions – Round 2
Directions: Determine the quotients of the fractions.
1. 12
÷34
16. 78
÷ 214
2. 35
÷17
17. 34
÷ 235
3. 56
÷18
18. 415
÷ 213
4. 38
÷59
19. 438
÷27
5. 14
÷25
20. 45
÷ 218
6. 78
÷9
1021. 1
12
÷ 356
7. 8
11÷
45
22. 323
÷ 214
8. 56
÷7
1223. 4
35
÷ 134
9. 34
÷89
24. 712
÷ 613
10. 7
11÷
47
25. 345
÷ 29
10
11. 134
÷12
26. 356
÷ 212
12. 1
10÷ 2
34
27. 334
÷ 418
13. 523
÷79
28. 5 ÷ 456
14. 56
÷ 612
29. 314
÷ 2
15. 67
÷ 213
30. 8 ÷ 513
Number Correct: ______ Improvement: ______
Lesson 28: Two-Step Problems―All Operations Date: 12/16/13
© 2013 Common Core, Inc. Some rights reserved. commoncore.org This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM 6•4 Lesson 28
Addition of Decimals – Round 1
Directions: Determine the sum of the decimals.
1. 1.3 + 2.1 18. 14.08 + 34.27
2. 3.6 + 2.2 19. 24.98 + 32.05
3. 8.3 + 4.6 20. 76.67 + 40.33
4. 14.3 + 12.6 21. 46.14 + 32.86
5. 21.2 + 34.5 22. 475.34 + 125.88
6. 14.81 + 13.05 23. 561.09 + 356.24
7. 32.34 + 16.52 24. 872.78 + 135.86
8. 56.56 + 12.12 25. 788.04 + 324.69
9. 78.03 + 21.95 26. 467 + 32.78
10. 32.14 + 45.32 27. 583.84 + 356
11. 14.7 + 32.8 28. 549.2 + 678.09
12. 24.5 + 42.9 29. 497.74 + 32.1
13. 45.8 + 32.4 30. 741.9 + 826.14
14. 71.7 + 32.6 31. 524.67 + 764
15. 102.5 + 213.7 32. 821.3 + 106.87
16. 365.8 + 127.4 33. 548 + 327.43
17. 493.4 + 194.8 34. 108.97 + 268.03
Number Correct: ______
Lesson 28: Two-Step Problems―All Operations Date: 12/16/13
© 2013 Common Core, Inc. Some rights reserved. commoncore.org This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM 6•4 Lesson 28
Addition of Decimals – Round 2
Directions: Determine the sum of the decimals.
1. 3.4 + 1.2 18. 67.82 + 37.9
2. 5.6 + 3.1 19. 423.85 + 47.5
3. 12.4 + 17.5 20. 148.9 + 329.18
4. 10.6 + 11.3 21. 4 + 3.25
5. 4.8 + 3.9 22. 103.45 + 6
6. 4.56 + 1.23 23. 32.32 + 101.8
7. 32.3 + 14.92 24. 62.1 + 0.89
8. 23.87 + 16.34 25. 105 + 1.45
9. 102.08 + 34.52 26. 235.91 + 12
10. 35.91 + 23.8 27. 567.01 + 432.99
11. 62.7 + 34.89 28. 101 + 52.3
12. 14.76 + 98.1 29. 324.69 + 567.31
13. 29.32 + 31.06 30. 245 + 0.987
14. 103.3 + 32.67 31. 191.67 + 3.4
15. 217.4 + 87.79 32. 347.1 + 12.89
16. 22.02 + 45.8 33. 627 + 4.56
17. 168.3 + 89.12 34. 0.157 + 4.56
Number Correct: ______ Improvement: ______
Lesson 30: One-Step Problems in the Real World Date: 12/16/13
© 2013 Common Core, Inc. Some rights reserved. commoncore.org This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM 6•4 Lesson 30
Subtraction of Decimals – Round 1
Directions: Subtract the decimals to determine the difference.
1. 9.4 − 4.1 16. 41.72 − 33.9
2. 7.4 − 3.2 17. 354.65 − 67.5
3. 49.5 − 32.1 18. 448.9 − 329.18
4. 20.9 − 17.2 19. 8 − 5.38
5. 9.2 − 6.8 20. 94.21 − 8
6. 7.48 − 2.26 21. 134.25 − 103.17
7. 58.8 − 43.72 22. 25.8 − 0.42
8. 38.99 − 24.74 23. 115 − 1.65
9. 116.32 − 42.07 24. 187.49 − 21
10. 46.83 − 35.6 25. 345.77 − 248.69
11. 54.8 − 43.66 26. 108 − 54.7
12. 128.43 − 87.3 27. 336.91 − 243.38
13. 144.54 − 42.09 28. 264 − 0.742
14. 105.4 − 68.22 29. 174.38 − 5.9
15. 239.5 − 102.37 30. 323.2 − 38.74
Number Correct: ______
Lesson 30: One-Step Problems in the Real World Date: 12/16/13
© 2013 Common Core, Inc. Some rights reserved. commoncore.org This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM 6•4 Lesson 30
Subtraction of Decimals – Round 2
Directions: Subtract the decimals to determine the difference.
1. 8.4 − 5.4 16. 14 − 10.32
2. 5.6 − 3.1 17. 43.37 − 28
3. 9.7 − 7.2 18. 24.56 − 18.88
4. 14.3 − 12.1 19. 33.55 − 11.66
5. 34.5 − 13.2 20. 329.56 − 284.49
6. 14.86 − 13.85 21. 574.3 − 342.18
7. 43.27 − 32.14 22. 154 − 128.63
8. 48.48 − 27.27 23. 247.1 − 138.57
9. 64.74 − 31.03 24. 12 − 3.547
10. 98.36 − 24.09 25. 1.415 − 0.877
11. 33.54 − 24.4 26. 185.774 − 154.86
12. 114.7 − 73.42 27. 65.251 − 36.9
13. 45.2 − 32.7 28. 144.2 − 95.471
14. 74.8 − 53.9 29. 2.11 − 1.949
15. 238.4 − 114.36 30. 100 − 34.746
Number Correct: ______ Improvement: ______
