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Numbers and Patterns
1-1
California
Standards
Preparation for AF2.0
Students analyze and use tables, graphs, and
rules to solve problems involving rates and
proportions.
Holt CA Course 1
1-1
Numbers and Patterns
Example 1A: Identifying and Extending Number
Patterns
Identify a possible pattern. Use your pattern
to write the next three numbers.
3, 12, 48,
,
,
3
,...
12
4
48
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
1-1
Numbers and Patterns
Example 1B: Identifying and Extending Number
Patterns
Identify a possible pattern. Use your pattern
to write the next three numbers.
7, 12, 17,
,
,
7
,...
12
+5
17
+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
1-1
Numbers and Patterns
Additional Example 2A: 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
1-1
Numbers and Patterns
Example 3: Using Tables to Identify and Extend
Patterns
Make a table that shows the number of
triangles in figure 1-5. 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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Additional Example 3 Continued
Make a table that shows the number 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
+2
A pattern is to add 2 triangles each time.
Figure 6 has 10 + 2 = 12 triangles
Figure 6
Figure 7 will have 14 triangles.
Holt CA Course 1
Figure 7 has 12 + 2 = 14 triangles
Figure 7
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Numbers and Patterns
Check It Out! Example 1
Identify a possible pattern. Use your pattern
to write the next three numbers.
45, 41, 37,
,
,
45
–4
,...
41
–4
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
1-1
Numbers and Patterns
Check It Out! Example 2
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
1-1
Numbers and Patterns
Check It Out! Example 3
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
1-1
Check It Out! Example 3 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
+4
Figure 6 has 20 + 4 = 24 squares
Figure 6
+4
A pattern is to add 4
squares each time.
+4
Figure 7 has 24 + 4 = 28 squares
Figure 7
Figure 7 has 28 squares (you also need a picture).
Holt CA Course 1