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Numbers and Patterns
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Preview
Warm Up
California Standards
Lesson Presentation
Holt CA Course 1
1-1
Numbers and Patterns
Warm Up
Write a number in which no digit is repeated
for each description.
1. 4-digit number divisible by 5 and 10.
Possible answer: 1,230
2. 4-digit number divisible by 3 and 5.
Possible answer: 1,245
3. 4-digit number divisible by 2, 3, and 6.
Possible answer: 1,356
Holt CA Course 1
Numbers and Patterns
1-1
California Standards
Preparation for Algebra & Functions
(AF2.0) - Students analyze and use
tables, graphs, and rules to solve
problems involving rates and proportions.
Holt CA Course 1
Numbers and Patterns
1-1
Objective: You will learn how to
identify and extend patterns.
Holt CA Course 1
1-1
Numbers and Patterns
Example 1: Identifying and
Extending Number Patterns
Identify a possible pattern. Use your pattern to
write the next three numbers.
3, 12, 48,
,
,
, . . .
3 12 48
4
4
4
4
4
A pattern is to multiply each number
by 4 to get the next number.
48  4 = 192, 192  4 = 768, 768  4 = 3072
The next numbers will be 192, 768, and 3072.
Holt CA Course 1
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Numbers and Patterns
Example 2: Identifying and
Extending Number Patterns
Identify a possible pattern. Use your pattern
to write the next three numbers.
7, 12, 17,
,
,
, . . .
7 12 17
+5
+5
+5
+5
+5
A pattern is to add 5 to each number
to get the next number.
17 + 5 = 22, 22 + 5 = 27, 27 + 5 = 32
The next numbers will be 22, 27, and 32.
Holt CA Course 1
Numbers and Patterns
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Example 3: Identifying and
Extending Number Patterns
Identify a possible pattern. Use your pattern to
write the next three numbers.
20, 17, 14,
,
,
, . . .
20 17 14
–3
–3
–3
–3
–3
A pattern is to subtract 3 from each
number to get the next number.
14 – 3 = 11, 11 – 3 = 8, 8 – 3 = 5
The next numbers will be 11, 8, and 5.
Holt CA Course 1
Numbers and Patterns
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Check It Out! Example 4
Identify a possible pattern. Use your pattern to
write the next three numbers.
18, 25, 32,
,
,
, . . .
18 25 32
+7
+7
+7
+7
+7
A pattern is to add 7 to each
number to get the next number.
32 + 7 = 39, 39 + 7 = 46, 46 + 7 = 53
The next numbers will be 39, 46, and 53.
Holt CA Course 1
Numbers and Patterns
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Check It Out! Example 5
Identify a possible pattern. Use your pattern to
write the next three numbers.
45, 41, 37,
,
,
, . . .
–4
–4
45 41 37
–4
–4
–4
A pattern is to subtract 4 from each
number to get the next number.
37 – 4 = 33, 33 – 4 = 29, 29 – 4 = 25
The next numbers will be 33, 29, and 25.
Holt CA Course 1
Numbers and Patterns
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Check It Out! Example 6
Identify a possible pattern. Use your pattern to
write the next three numbers.
2, 6, 18,
2
3
,
,
, . . .
6 18
3
3
3
3
A pattern is to multiply each number
by 3 to get the next number.
18  3 = 54, 54  3 = 162, 162  3 = 486
The next numbers will be 54, 162, and 486.
Holt CA Course 1
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Numbers and Patterns
Example 7: Identifying and Extending
Geometric Patterns
Identify a possible pattern. Use your pattern to
draw the next three figures.
A pattern is to rotate the purple triangle in a
counterclockwise direction.
The next three figures will be:
Holt CA Course 1
Numbers and Patterns
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Example 8: Identifying and
Extending Geometric Patterns
Identify a possible pattern. Use your pattern
to draw the next three figures.
A pattern is to rotate the arrow in a counterclockwise
direction while alternating colors of orange and blue.
The next three
figures will be:
Holt CA Course 1
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Numbers and Patterns
Check It Out! Example 9
Identify a possible pattern. Use your pattern
to draw the next three figures.
A pattern is three triangular objects that repeat, while
alternating between orange and green.
The next three figures will be:
Holt CA Course 1
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Numbers and Patterns
Example 10: Using Tables to
Identify and Extend Patterns
Make a table that shows the number of triangles
in each figure. Tell how many triangles are in the
seventh figure of a possible pattern. Use drawings
to justify your answer.
Figure 1
Figure 2
Figure 4
Holt CA Course 1
Figure 3
Figure 5
Numbers and Patterns
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Example 10 Continued
The table shows the numbers of triangles in each figure.
Figure
1
2
3
4
5
6
7
Number of
Triangles
2
4
6
8
10
12
14
+2
+2
+2
+2
+2
A pattern is to add 2
triangles each time.
+2
Figure 6 has 10 + 2 = 12 triangles
Figure 7 has 12 + 2 = 14 triangles
Figure 6
Figure 7
Holt CA Course 1
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Numbers and Patterns
Check It Out! Example 11
Make a table that shows the number of squares
in each figure. Tell how many squares are in the
seventh figure of a possible pattern. Use
drawings to justify your answer.
Figure 1
Figure 2
Figure 4
Holt CA Course 1
Figure 3
Figure 5
Numbers and Patterns
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Check It Out! Example 11 Continued
The table shows the numbers of squares in each figure.
Figure
1
2
3
4
5
6
7
Number of
Squares
4
8
12
16
20
24
28
+4
+4
+4
Figure 6 has 20 + 4 = 24 squares
Figure 6
Holt CA Course 1
+4
+4
A pattern is to add 4
squares each time.
+4
Figure 7 has 24 + 4 = 28 squares
Figure 7
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Numbers and Patterns
On-Line
Tutoring
Patterns!
Holt CA Course 1
Numbers and Patterns
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Lesson Quiz: Part I
Identify a possible pattern. Use your pattern to
write next three numbers.
1. –8, –6, –4,
,
,
, …
Add 2; –2, 0, 2
2. –3, 6, –12, 24,
, , , …
Multiply by –2; –48, 96, –192
3. 0, 1, 3, 6, 10,
,
,
, …
Add 1 more than the number previously added;
15, 21, 28.
Holt CA Course 1
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Numbers and Patterns
Lesson Quiz: Part II
Identify a possible pattern. Use your pattern
to draw the next three figures.
4.
5. Make a table that shows the number of
dots in the figure. Tell how many dots are in
the seventh figure of a possible pattern. Use
drawings to justify your answer.
14
Holt CA Course 1