Transcript math1-1 - TeacherWeb

1-1
Numbers and Patterns
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
1-1
Numbers and Patterns
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
Additional 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
Additional 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
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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
Additional Example 3: 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
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Numbers and Patterns
Additional Example 3 Continued
The table shows the numbers of triangles in each figure.
Figure
1
2
3
4
5
6
7
Number of
2
4
6
8
10
12
14
Triangles
+2
+2
+2
+2
Figure 6 has 10 + 2 = 12 triangles
Figure 6
Holt CA Course 1
+2
A pattern is to add 2
triangles each time.
+2
Figure 7 has 12 + 2 = 14 triangles
Figure 7
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Numbers and Patterns
Check It Out! Example 1B
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
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Numbers and Patterns
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
Holt CA Course 1
+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
Additional Example 1C: Identifying and Extending
Number Patterns
Identify a possible pattern. Use your pattern
to write the next three numbers.
20, 17, 14,
,
,
20
–3
,...
17
–3
14
–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
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Numbers and Patterns
Check It Out! Example 1C
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
Check It Out! Example 1A
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
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Numbers and Patterns
Additional Example 2B: 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
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