CCSS
Generate
a number
or shape
pattern
follows(e.g.,
a given
AF 2.2G4.OA.5
Extend and
recognize
a linear
pattern
bythat
its rules
therule.
Identify apparent features of the pattern that were not explicit in the rule itself. For
number of legs on a given number of horses may be calculated
example, given the rule “Add 3” and the starting number 1, generate terms in the resulting
by observe
counting
or byappear
multiplying
thebetween
numberodd
of and
horses
sequence and
thatbythe4sterms
toalternate
evenby 4).
numbers. Explain informally why the numbers will continue to alternate in this way.
UNDERLYING SKILLS AND CONCEPTS:
number patterns;
skip counting;
odd and even numbers
Identify Missing Numbers in Patterns
a
K
ey Ide
When you look for a number pattern, find out how the
numbers are related.
You can look for patterns of odd and even.
You can look for skip counting patterns.
You can look for the difference between one number and the next.
E x am p l E
1
Which number is missing in the pattern?
5, 10,
■, 20
Look for a pattern.
Skip count to listen for the missing number.
The missing number is 15.
E x am p l E
e did
Wher
it go?
2
Which number is missing in the pattern?
32, 34,
■, 38
Look at the first two numbers.
Their difference is two.
Try adding 2 to 34 to get the next number.
Think:
What is the difference
between one number and
the number before it?
Then add 2 to 36. Do you get 38?
Each number is 2 more
than the number before.
The rule is add 2.
So the pattern is Add 2.
The missing number is 36.
page 364
Chapter 31 – Lesson 2
C – © CSL Associates, Inc. All rights reserved.
It skip counts by 5.
Name
P RAC T I C E
What number is missing in each pattern? Tell how you decided.
1. 24, 27,
■, 33
2. 70, 75,
30; count by 3s
from 24 to 33
4. 41, 43,
■, 47
45; count by 2s
from 41 to 47
C – © CSL Associates, Inc. All rights reserved.
■, 58, 56
8.
x
y
■, 75, 80
70; count by 5s
from 65 to 80
6. 48,
60; count back by
2s from 62 to 56
■, 54, 57
51; count by 3s
from 48 to 57
9.
x
y
80
16
12
1
2
12
60
12
24
2
4
24
40
8
36
3
6
20
10.
3. 65,
80; count by 5s
from 70 to 85
5. 62,
Complete each table.
7. x
y
■, 85
48
x
y
10
20
11.
x
y
15
20
9
30
35
30
40
60
Math
Reasoning
12.
8
48
x
y
10
100
10
100
50
39
1,000
65
54
10,000 1,000
Number Patterns
MR 1.1
13. Find the missing number in the pattern.
Tell how you decided.
78, 71, 64,
■, 50
57; count backwards by 7 from 78 to 50
Chapter 31 – Lesson 2
page 365
MCX94.HW.CL.G3.FM&Lesson.v211
8/3/04
13:57
Page 244
Name
…at home!
P RAC T I C E
What number is missing number in each pattern? Tell how you decided.
■, 43
2. 80, 85,
40; count by 3s
from 34 to 43
4. 21, 23,
■, 27
25; count by 2s
from 21 to 27
■, 38, 36
8.
x
y
■, 55, 60
50; count by 5s
from 45 to 60
6. 68,
40; count back by
2s from 42 to 36
■, 74, 77
71; count by 3s
from 68 to 77
9.
x
y
80
8
12
3
2
16
60
6
24
6
4
32
40
4
36
9
6
20
10.
3. 45,
90; count by 5s
from 80 to 95
5. 42,
Complete each table.
7. x
y
■, 95
48
x
y
10
20
11.
x
y
5
20
31
10
35
30
40
20
Math
Reasoning
12.
8
64
x
y
10
100
20
200
50
61
1,000
65
76
10,000 2,000
Number Patterns
MR 1.1
13. Find the missing number in the pattern.
Tell how you decided.
58, 51, 44,
■, 30
37; count backwards by 7 from 58 to 30
page 244
Home Resource and Homework
Chapter 31 Lesson 2
C – © CSL Associates, Inc. All rights reserved.
1. 34, 37,
MCX94TEG3Ch01_32.v8.9.3 2/21/01 14:53 Page 671
Name
P RAC T I C E
What number is missing in each pattern? Tell how you decided.
1. 24, 27,
■, 33
2. 70, 75,
30; count by 3s
from 24 to 33
4. 41, 43,
■, 47
45; count by 2s
from 41 to 47
C – © CSL Associates, Inc. All rights reserved.
10.
3. 65,
80; count by 5s
from 70 to 85
5. 62,
Complete each table.
7. x
y
■, 85
■, 58, 56
70; count by 5s
from 65 to 80
6. 48,
60; count back by
2s from 62 to 56
8.
x
y
■, 75, 80
■, 54, 57
51; count by 3s
from 48 to 57
9.
x
y
80
16
12
1
2
12
60
12
24
2
4
24
40
8
36
3
6
36
20
4
48
4
8
48
x
y
x
y
x
y
10
15
20
9
10
1
20
30
35
24
100
10
30
45
50
39
1,000
100
40
60
65
54
10,000 1,000
Math
Reasoning
11.
12.
Number Patterns
MR 1.1
13. Find the missing number in the pattern.
Tell how you decided.
78, 71, 64,
■, 50
57; count backwards by 7 from 78 to 50
Chapter 31 – Lesson 2
Student Book Page
page 365
Name
…at home!
P RAC T I C E
What number is missing number in each pattern? Tell how you decided.
■, 43
2. 80, 85,
40; count by 3s
from 34 to 43
4. 21, 23,
■, 27
25; count by 2s
from 21 to 27
10.
3. 45,
90; count by 5s
from 80 to 95
5. 42,
Complete each table.
7. x
y
■, 95
■, 38, 36
50; count by 5s
from 45 to 60
6. 68,
40; count back by
2s from 42 to 36
8.
x
y
■, 55, 60
■, 74, 77
71; count by 3s
from 68 to 77
9.
x
y
80
8
12
3
2
16
60
6
24
6
4
32
40
4
36
9
6
48
20
2
48
12
8
64
x
y
x
y
x
y
10
5
20
31
10
2
20
10
35
46
100
20
30
15
50
61
1,000
200
40
20
65
76
10,000 2,000
Math
Reasoning
11.
12.
Number Patterns
MR 1.1
13. Find the missing number in the pattern.
Tell how you decided.
58, 51, 44,
■, 30
37; count backwards by 7 from 58 to 30
page 244
Home Resource and Homework
Chapter 31 Lesson 2
C – © CSL Associates, Inc. All rights reserved.
1. 34, 37,