Holt CA Course 1

1-1

Numbers and Patterns

Warm UpWarm Up

California StandardsCalifornia Standards

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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