Holt CA Course 1
1-1
Numbers and Patterns
Warm UpWarm Up
California StandardsCalifornia Standards
Lesson PresentationLesson Presentation
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Holt CA Course 1
1-1
Numbers and Patterns
Warm UpWrite a number in which no digit is repeated for each description.1. 4-digit number divisible by 5 and 10.
2. 4-digit number divisible by 3 and 5.
3. 4-digit number divisible by 2, 3, and 6.
Possible answer: 1,230
Possible answer: 1,245
Possible answer: 1,356
Holt CA Course 1
1-1
Numbers and Patterns
Preparation for AF2.0Students analyze and use tables, graphs, and rules to solve problems involving rates and proportions.
California Standards
Holt CA Course 1
1-1
Numbers and Patterns
Identify a possible pattern. Use your pattern to write the next three numbers.
Additional Example 1A: Identifying and Extending Number Patterns
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.
4 4 4 4 4
3, 12, 48, , , , . . .
3 12 48
Holt CA Course 1
1-1
Numbers and PatternsAdditional Example 1B: Identifying and Extending Number
Patterns
7, 12, 17, , , , . . .
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.
+ 5 + 5 + 5 + 5 + 5
7 12 17
Identify a possible pattern. Use your pattern to write the next three numbers.
Holt CA Course 1
1-1
Numbers and PatternsAdditional Example 1C: Identifying and Extending Number
Patterns
20, 17, 14, , , , . . .
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.
– 3 – 3 – 3 – 3 – 3
20 17 14
Identify a possible pattern. Use your pattern to write the next three numbers.
Holt CA Course 1
1-1
Numbers and PatternsCheck It Out! Example 1A
18, 25, 32, , , , . . .
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.
+ 7 + 7 + 7 + 7 + 7
18 25 32
Identify a possible pattern. Use your pattern to write the next three numbers.
Holt CA Course 1
1-1
Numbers and PatternsCheck It Out! Example 1B
45, 41, 37, , , , . . .
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.
– 4 – 4 – 4 – 4 – 4
Identify a possible pattern. Use your pattern to write the next three numbers.
45 41 37
Holt CA Course 1
1-1
Numbers and PatternsCheck It Out! Example 1C
2, 6, 18, , , , . . .
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.
3 3 3 3 3
Identify a possible pattern. Use your pattern to write the next three numbers.
2 6 18
Holt CA Course 1
1-1
Numbers and Patterns
Identify a possible pattern. Use your pattern to draw the next three figures.
Additional Example 2A: Identifying and Extending Geometric Patterns
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
Identify a possible pattern. Use your pattern to draw the next three figures.
Additional Example 2B: Identifying and Extending Geometric Patterns
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
1-1
Numbers and PatternsCheck It Out! Example 2
A pattern is three triangular objects that repeat, while alternating between orange and green.
The next three figures will be
Identify a possible pattern. Use your pattern to draw the next three figures.
.
Holt CA Course 1
1-1
Numbers and 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.
Additional Example 3: Using Tables to Identify and Extend Patterns
Figure 2 Figure 3
Figure 4 Figure 5
Figure 1
Holt CA Course 1
1-1
Numbers and PatternsAdditional Example 3 Continued
The table shows the numbers of triangles in each figure.
A pattern is to add 2 triangles each time.
Figure 1 2 3 4 5 6 7
Number of Triangles
2 4 6 8 10 12 14
+2 +2 +2 +2 +2 +2
Figure 6 Figure 7
Figure 6 has 10 + 2 = 12 triangles Figure 7 has 12 + 2 = 14 triangles
Holt CA Course 1
1-1
Numbers and Patterns
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.
Check It Out! Example 3
Figure 2 Figure 3
Figure 4 Figure 5
Figure 1
Holt CA Course 1
1-1
Numbers and PatternsCheck It Out! Example 3 Continued
The table shows the numbers of squares in each figure.
A pattern is to add 4 squares each time.
Figure 1 2 3 4 5 6 7
Number of Squares
4 8 12 16 20 24 28
+4 +4 +4 +4 +4 +4
Figure 6 has 20 + 4 = 24 squares Figure 7 has 24 + 4 = 28 squares
Figure 6 Figure 7
Holt CA Course 1
1-1
Numbers and Patterns
Identify a possible pattern. Use your pattern to write next three numbers.
Lesson Quiz: Part I
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
1-1
Numbers and Patterns
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.
Lesson Quiz: Part II
14
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