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1. If you start at zero and use the rule, “Add 2,” you get the numerical sequence: 0, 2, 4, 6, 8, 10, 12, 14, 16, 18. If you start at zero and use the rule, “Add 10,” you get the numerical sequence: 0, 10, 20, 30, 40, 50, 60, 70, 80, 90. The first two ordered pairs from the corresponding terms above are: (0,0) and (2,10) Write the rest: (4, 20) , (6, 30) , (8, 40) , (10, 50) , (12, 60) , (14, 70) , (16, 80) , (18, 90) |

2. If you start at zero and use the rule, “Add 5,” you get the numerical sequence: 0, 5, 10, 15, 20, 25, 30, 35, 40, 45 . If you start at zero and use the rule, “Add 20,” you get the numerical sequence: 0, 20, 40, 60, 80, 100, 120, 140, 160, 180 . The first two ordered pairs from the corresponding terms above are: (0,0) and (5,20) Write the rest: (10, 40) , (15, 60) , (20, 80) , (25, 100) , (30, 120) , (35, 140) , (40, 160) , (45, 180) |

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## Related Resources

The various resources listed below are aligned to the same standard, (5OA03) taken from the CCSM (Common Core Standards For Mathematics) as the Algebra Worksheet shown above.

*Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. *

### Chart

#### Patterns and rules

- Customizable Pre-Algebra T-Chart – You enter the values!

### Example/Guidance

#### Number Patterns

### Worksheet

- Graphing Ordered Pairs # 1
- Graphing Ordered Pairs # 2
- Generating Patterns & Identifying Relationships
- Generating & Comparing Sequences
- Numerical Patterns & Relationships