G3 U8 Constructed Response
Name: ________________________________________ Date:_______________
Grade 3 Unit 8 Constructed Response Identifying Patterns TASK 1: Patterns on an Addition Table, and a Hundreds Chart (CCSS 3.OA.9; SMP 1, 2, 3, 6, 7)
1. Use the Addition Table to answer the following questions: + 1 2 3
1 2 3 4
2 3 4 5
3 4 5 6
4 5 6 7
5 6 7 8
6 7 8 9
7 8 9 10
8 9 10 11
9 10 11 12
10 11 12 13
4 5 6
5 6 7
6 7 8
7 8 9
8 9 10
9 10 11
10 11 12
11 12 13
12 13 14
13 14 15
14 15 16
7
8
9
10
11
12
13
14
15
16
17
8
9
10
11
12
13
14
15
16
17
18
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18
18 19
19 20
a. Explain what happens when two even numbers are added together. Give two examples in your explanation.
b. Explain what happens when you add an odd number and an even number together. Give two examples in your explanation.
Copyright © Swun Math Grade 3 Unit 8 Constructed Response, Page 1
Grade 3 Unit 8 Constructed Response Identifying Patterns 2. Use the hundreds chart to answer the following questions: 1 11 21 31
2 12 22 32
3 13 23 33
4 14 24 34
5 15 25 35
6 16 26 36
7 17 27 37
8 18 28 38
9 19 29 39
10 20 30 40
41 51 61
42 52 62
43 53 63
44 54 64
45 55 65
46 56 66
47 57 67
48 58 68
49 59 69
50 60 70
71
72
73
74
75
76
77
78
79
80
81 91
82 92
83 93
84 94
85 95
86 96
87 97
88 98
89 99
90 100
a. Use the chart to determine the next four numbers in the set below:
31, 35, 39, 43, _______, ________, ________, ________ b. Identify the pattern present in the number set you completed above, and describe the type of number you got as a result of this pattern.
Copyright © Swun Math Grade 3 Unit 8 Constructed Response, Page 2
Grade 3 Unit 8 Constructed Response Identifying Patterns 3. Use the hundreds chart to answer the following questions: 1 11 21 31
2 12 22 32
3 13 23 33
4 14 24 34
5 15 25 35
6 16 26 36
7 17 27 37
8 18 28 38
9 19 29 39
10 20 30 40
41 51 61
42 52 62
43 53 63
44 54 64
45 55 65
46 56 66
47 57 67
48 58 68
49 59 69
50 60 70
71
72
73
74
75
76
77
78
79
80
81 91
82 92
83 93
84 94
85 95
86 96
87 97
88 98
89 99
90 100
a. Use the chart to determine the next four numbers in the pattern below:
85, 82, 76, 67 _______, ________, ________, ________ b. Identify and explain the rule present in the pattern you completed above. Reference your work in your explanation.
Copyright © Swun Math Grade 3 Unit 8 Constructed Response, Page 3
Grade 3 Unit 8 Constructed Response Identifying Patterns TASK 2: Patterns on a Multiplication Table (CCSS: 3.OA.9; SMP: 1, 2, 6, 7)
4. Use the multiplication table to answer the following questions: × 0 1 2
1 0 1 2
2 0 1 4
3 0 3 6
4 0 4 8
5 0 5 10
6 0 6 12
7 0 7 14
8 0 8 16
9 0 9 18
10 0 10 20
11 0 11 22
12 0 12 24
3
0 0 0 0 0
3
6
9
12
15
18
21
24
27
30
33
36
4 5
0 0
4 5
8 10
12 15
16 20
20 25
24 30
28 35
32 40
36 45
40 50
44
48
55
60
6
6
12
18
24
30
36
42
48
54
60
66
84
7
0 0
7
14
21
28
35
42
49
56
63
70
77
96
8 9 10 11 12
0 0 0 0 0
8 9 10 11 12
16 18 20 22 24
24 27 30 33 36
32 36 40 44 48
40 45 50 55 60
48 54 60 66 72
56 63 70 77 84
64 72 80 88 108
72 81 90 99 20
80 90 100 110 108
88 99 110 121 132
108 120 132 144 144
‘
a. Explain what happens when two odd numbers are multiplied together. Give two examples in your explanation.
b. Explain what happens when you multiply an odd number and an even number together. Give two examples in your explanation.
Copyright © Swun Math Grade 3 Unit 8 Constructed Response, Page 4
Grade 3 Unit 8 Constructed Response Identifying Patterns 5. Use the multiplication table below to answer the following questions: × 0 1 2
1 0 1 2
2 0 1 4
3 0 3 6
4 0 4 8
5 0 5 10
6 0 6 12
7 0 7 14
8 0 8 16
9 0 9 18
10 0 10 20
11 0 11 22
12 0 12 24
3
0 0 0 0 0
3
6
9
12
15
18
21
24
27
30
33
36
4 5
0 0
4 5
8 10
12 15
16 20
20 25
24 30
28 35
32 40
36 45
40 50
44
48
55
60
6
6
12
18
24
30
36
42
48
54
60
66
84
7
0 0
7
14
21
28
35
42
49
56
63
70
77
96
8 9 10 11 12
0 0 0 0 0
8 9 10 11 12
16 18 20 22 24
24 27 30 33 36
32 36 40 44 48
40 45 50 55 60
48 54 60 66 72
56 63 70 77 84
64 72 80 88 108
72 81 90 99 20
80 90 100 110 108
88 99 110 121 132
108 120 132 144 144
a. Use the chart to determine the four missing numbers in the pattern below:
12, 15, _______, ________, 24________, ________, 33 b. Explain how the multiplication table helped you find the missing numbers in the pattern.
Copyright © Swun Math Grade 3 Unit 8 Constructed Response, Page 5
Grade 3 Unit 8 Constructed Response Identifying Patterns 6. Brad is practicing his kicks on goal before soccer season starts. During the first week of practice he makes 3 goals, the second week he makes 6 goals, and the third week he makes 9 goals. Use the table below to answer the following questions. × 0 1 2
1 0 1 2
2 0 1 4
3 0 3 6
4 0 4 8
5 0 5 10
6 0 6 12
7 0 7 14
8 0 8 16
9 0 9 18
10 0 10 20
11 0 11 22
12 0 12 24
3
0 0 0 0 0
3
6
9
12
15
18
21
24
27
30
33
36
4 5
0 0
4 5
8 10
12 15
16 20
20 25
24 30
28 35
32 40
36 45
40 50
44
48
55
60
6
6
12
18
24
30
36
42
48
54
60
66
84
7
0 0
7
14
21
28
35
42
49
56
63
70
77
96
8 9 10 11 12
0 0 0 0 0
8 9 10 11 12
16 18 20 22 24
24 27 30 33 36
32 36 40 44 48
40 45 50 55 60
48 54 60 66 72
56 63 70 77 84
64 72 80 88 108
72 81 90 99 20
80 90 100 110 108
88 99 110 121 132
108 120 132 144 144
a. If Brad continues this pattern, how many goals will he make in week 6?
Answer: _______________ b. Identify the rule that best represents this scenario. Explain how you found this rule. Reference your work in your explanation.
Copyright © Swun Math Grade 3 Unit 8 Constructed Response, Page 6
Grade 3 Unit 8 Constructed Response Identifying Patterns TASK 3: Finding Patterns Using an In and Out Table, Finding Patterns to Solve Word Problems (CCSS: 3.OA.9; SMP: 1, 2, 4, 6, 7)
7. Analyze the table below: In 8 X 24 32
Out 20 28 36 X
a. Before finding the missing values in the table, identify and explain the rule that best represents the pattern displayed. How were you able to determine this pattern?
b. Using the rule you identified above, find the missing numbers in the table. Show your work in detailed and organized steps.
Answer: _________ and __________ Copyright © Swun Math Grade 3 Unit 8 Constructed Response, Page 7
Grade 3 Unit 8 Constructed Response Identifying Patterns 8. Angelica is reading a new novel. Her goal is to double the amount of pages she reads each week. If she reads the first 16 pages of the book the first week, how many pages will she have read after four weeks? How many pages should she be reading each week to meet this goal? a. Before solving the problem, write an explanation in which you discuss the meaning of the problem and describe a strategy you could use to find your answer.
b. Using the strategy you described above, find the number of pages she reads per week and the number of pages she reads total. Give the rule that represents the pattern. Show your work in detailed and organized steps.
Answer:
Pages Read Total: Pages Read Per Week:
Rule:
_________________ Week 1
Week 2
_________________
Copyright © Swun Math Grade 3 Unit 8 Constructed Response, Page 8
Week 3
Week 4
Grade 3 Unit 8 Constructed Response Identifying Patterns 9. Trish is making and selling apple pies in her neighborhood. In the first week she makes $75 by selling 15 pies. In the second week she makes $60 by selling 12 pies. Finally, in the third week she makes $90 from selling pies. a. Create an In and Out table to represent the data given to you in the scenario.
b. Using the table you created above, find the selling price of each pie.
Answer: _________________ c. Using your knowledge of patterns, write a discussion in which you explain what this selling price represents.
Copyright © Swun Math Grade 3 Unit 8 Constructed Response, Page 9
Grade 3 Unit 8 Constructed Response Identifying Patterns TASK 1: Patterns on an Addition Table, and a Hundreds Chart (CCSS 3.OA.9; SMP 1, 2, 3, 6, 7)
1. Use the Addition Table to answer the following questions: + 1 2 3
1 2 3 4
2 3 4 5
3 4 5 6
4 5 6 7
5 6 7 8
6 7 8 9
7 8 9 10
8 9 10 11
9 10 11 12
10 11 12 13
4 5 6
5 6 7
6 7 8
7 8 9
8 9 10
9 10 11
10 11 12
11 12 13
12 13 14
13 14 15
14 15 16
7
8
9
10
11
12
13
14
15
16
17
8
9
10
11
12
13
14
15
16
17
18
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18
18 19
19 20
a. Explain what happens when two even numbers are added together. Give two examples in your explanation.
b. Explain what happens when you add an odd number and an even number together. Give two examples in your explanation.
Copyright © Swun Math Grade 3 Unit 8 Constructed Response, Page 1
Grade 3 Unit 8 Constructed Response Identifying Patterns 2. Use the hundreds chart to answer the following questions: 1 11 21 31
2 12 22 32
3 13 23 33
4 14 24 34
5 15 25 35
6 16 26 36
7 17 27 37
8 18 28 38
9 19 29 39
10 20 30 40
41 51 61
42 52 62
43 53 63
44 54 64
45 55 65
46 56 66
47 57 67
48 58 68
49 59 69
50 60 70
71
72
73
74
75
76
77
78
79
80
81 91
82 92
83 93
84 94
85 95
86 96
87 97
88 98
89 99
90 100
a. Use the chart to determine the next four numbers in the set below:
31, 35, 39, 43, _______, ________, ________, ________ b. Identify the pattern present in the number set you completed above, and describe the type of number you got as a result of this pattern.
Copyright © Swun Math Grade 3 Unit 8 Constructed Response, Page 2
Grade 3 Unit 8 Constructed Response Identifying Patterns 3. Use the hundreds chart to answer the following questions: 1 11 21 31
2 12 22 32
3 13 23 33
4 14 24 34
5 15 25 35
6 16 26 36
7 17 27 37
8 18 28 38
9 19 29 39
10 20 30 40
41 51 61
42 52 62
43 53 63
44 54 64
45 55 65
46 56 66
47 57 67
48 58 68
49 59 69
50 60 70
71
72
73
74
75
76
77
78
79
80
81 91
82 92
83 93
84 94
85 95
86 96
87 97
88 98
89 99
90 100
a. Use the chart to determine the next four numbers in the pattern below:
85, 82, 76, 67 _______, ________, ________, ________ b. Identify and explain the rule present in the pattern you completed above. Reference your work in your explanation.
Copyright © Swun Math Grade 3 Unit 8 Constructed Response, Page 3
Grade 3 Unit 8 Constructed Response Identifying Patterns TASK 2: Patterns on a Multiplication Table (CCSS: 3.OA.9; SMP: 1, 2, 6, 7)
4. Use the multiplication table to answer the following questions: × 0 1 2
1 0 1 2
2 0 1 4
3 0 3 6
4 0 4 8
5 0 5 10
6 0 6 12
7 0 7 14
8 0 8 16
9 0 9 18
10 0 10 20
11 0 11 22
12 0 12 24
3
0 0 0 0 0
3
6
9
12
15
18
21
24
27
30
33
36
4 5
0 0
4 5
8 10
12 15
16 20
20 25
24 30
28 35
32 40
36 45
40 50
44
48
55
60
6
6
12
18
24
30
36
42
48
54
60
66
84
7
0 0
7
14
21
28
35
42
49
56
63
70
77
96
8 9 10 11 12
0 0 0 0 0
8 9 10 11 12
16 18 20 22 24
24 27 30 33 36
32 36 40 44 48
40 45 50 55 60
48 54 60 66 72
56 63 70 77 84
64 72 80 88 108
72 81 90 99 20
80 90 100 110 108
88 99 110 121 132
108 120 132 144 144
‘
a. Explain what happens when two odd numbers are multiplied together. Give two examples in your explanation.
b. Explain what happens when you multiply an odd number and an even number together. Give two examples in your explanation.
Copyright © Swun Math Grade 3 Unit 8 Constructed Response, Page 4
Grade 3 Unit 8 Constructed Response Identifying Patterns 5. Use the multiplication table below to answer the following questions: × 0 1 2
1 0 1 2
2 0 1 4
3 0 3 6
4 0 4 8
5 0 5 10
6 0 6 12
7 0 7 14
8 0 8 16
9 0 9 18
10 0 10 20
11 0 11 22
12 0 12 24
3
0 0 0 0 0
3
6
9
12
15
18
21
24
27
30
33
36
4 5
0 0
4 5
8 10
12 15
16 20
20 25
24 30
28 35
32 40
36 45
40 50
44
48
55
60
6
6
12
18
24
30
36
42
48
54
60
66
84
7
0 0
7
14
21
28
35
42
49
56
63
70
77
96
8 9 10 11 12
0 0 0 0 0
8 9 10 11 12
16 18 20 22 24
24 27 30 33 36
32 36 40 44 48
40 45 50 55 60
48 54 60 66 72
56 63 70 77 84
64 72 80 88 108
72 81 90 99 20
80 90 100 110 108
88 99 110 121 132
108 120 132 144 144
a. Use the chart to determine the four missing numbers in the pattern below:
12, 15, _______, ________, 24________, ________, 33 b. Explain how the multiplication table helped you find the missing numbers in the pattern.
Copyright © Swun Math Grade 3 Unit 8 Constructed Response, Page 5
Grade 3 Unit 8 Constructed Response Identifying Patterns 6. Brad is practicing his kicks on goal before soccer season starts. During the first week of practice he makes 3 goals, the second week he makes 6 goals, and the third week he makes 9 goals. Use the table below to answer the following questions. × 0 1 2
1 0 1 2
2 0 1 4
3 0 3 6
4 0 4 8
5 0 5 10
6 0 6 12
7 0 7 14
8 0 8 16
9 0 9 18
10 0 10 20
11 0 11 22
12 0 12 24
3
0 0 0 0 0
3
6
9
12
15
18
21
24
27
30
33
36
4 5
0 0
4 5
8 10
12 15
16 20
20 25
24 30
28 35
32 40
36 45
40 50
44
48
55
60
6
6
12
18
24
30
36
42
48
54
60
66
84
7
0 0
7
14
21
28
35
42
49
56
63
70
77
96
8 9 10 11 12
0 0 0 0 0
8 9 10 11 12
16 18 20 22 24
24 27 30 33 36
32 36 40 44 48
40 45 50 55 60
48 54 60 66 72
56 63 70 77 84
64 72 80 88 108
72 81 90 99 20
80 90 100 110 108
88 99 110 121 132
108 120 132 144 144
a. If Brad continues this pattern, how many goals will he make in week 6?
Answer: _______________ b. Identify the rule that best represents this scenario. Explain how you found this rule. Reference your work in your explanation.
Copyright © Swun Math Grade 3 Unit 8 Constructed Response, Page 6
Grade 3 Unit 8 Constructed Response Identifying Patterns TASK 3: Finding Patterns Using an In and Out Table, Finding Patterns to Solve Word Problems (CCSS: 3.OA.9; SMP: 1, 2, 4, 6, 7)
7. Analyze the table below: In 8 X 24 32
Out 20 28 36 X
a. Before finding the missing values in the table, identify and explain the rule that best represents the pattern displayed. How were you able to determine this pattern?
b. Using the rule you identified above, find the missing numbers in the table. Show your work in detailed and organized steps.
Answer: _________ and __________ Copyright © Swun Math Grade 3 Unit 8 Constructed Response, Page 7
Grade 3 Unit 8 Constructed Response Identifying Patterns 8. Angelica is reading a new novel. Her goal is to double the amount of pages she reads each week. If she reads the first 16 pages of the book the first week, how many pages will she have read after four weeks? How many pages should she be reading each week to meet this goal? a. Before solving the problem, write an explanation in which you discuss the meaning of the problem and describe a strategy you could use to find your answer.
b. Using the strategy you described above, find the number of pages she reads per week and the number of pages she reads total. Give the rule that represents the pattern. Show your work in detailed and organized steps.
Answer:
Pages Read Total: Pages Read Per Week:
Rule:
_________________ Week 1
Week 2
_________________
Copyright © Swun Math Grade 3 Unit 8 Constructed Response, Page 8
Week 3
Week 4
Grade 3 Unit 8 Constructed Response Identifying Patterns 9. Trish is making and selling apple pies in her neighborhood. In the first week she makes $75 by selling 15 pies. In the second week she makes $60 by selling 12 pies. Finally, in the third week she makes $90 from selling pies. a. Create an In and Out table to represent the data given to you in the scenario.
b. Using the table you created above, find the selling price of each pie.
Answer: _________________ c. Using your knowledge of patterns, write a discussion in which you explain what this selling price represents.
Copyright © Swun Math Grade 3 Unit 8 Constructed Response, Page 9
