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Patterns are a way for young students to recognize order and organize their world and are important in all aspects of mathematics. Help students form generalizations by asking questions such as "How could you describe this pattern?" or "How are these patterns alike?" The "Growing Patterns" activity sheet guides students to analyze and describe how growing patterns are generated, encourages them to explore different ways to interpret the patterns and translate from one form to another, and challenges students to compare growing patterns to repeating patterns.
Patterns are a way for young students to recognize order and organize their world and are important in all aspects of mathematics. Help students form generalizations by asking questions such as "How could you describe this pattern?" or "How are these patterns alike?" The "Growing Patterns" activity sheet guides students to analyze and describe how growing patterns are generated, encourages them to explore different ways to interpret the patterns and translate from one form to another, and challenges students to compare growing patterns to repeating patterns. (author/sw)
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computer
Internet connection |
| This technology integrated lesson provides an opportunity for the introduction or reinforcement of the following technology skills: |
| Grades K-2 |
| Use interactive online applications to investigate mathematical concept |
online application
structured activity
website |
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| Mathematics Academic Content Standards |
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| Patterns, Functions and Algebra Standard | |
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| Benchmarks (K - 2) |
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| B. | Extend sequences of sounds and shapes or simple number patterns, and create and record similar patterns. |
| C. | Create and extend patterns, and describe the rule in words. |
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| Grade Level Indicators (Grade Prekindergarten) |
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| 2. | Identify, copy, extend and create simple patterns or sequences of sound, shapes and motions in the context of daily activities and play. |
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| Grade Level Indicators (Grade Kindergarten) |
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| 2. | Identify, create, extend and copy sequences of sounds (such as musical notes), shapes (such as buttons, leaves or blocks), motions (such as hops or skips), and numbers from 1 to 10. |
| 3. | Describe orally the pattern of a given sequence. |
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| Grade Level Indicators (Grade 1) |
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| 2. | Extend sequences of sounds, shapes or simple number patterns, and create and record similar patterns. For example:
a. Analyze and describe patterns with multiple attributes using numbers and shapes; e.g., AA, B, aa, b, AA, B, aa, b, ...
b. Continue repeating and growing patterns with materials, pictures and geometric items; e.g., XO, XOO, XOOO, XOOOO. |
| 3. | Describe orally the basic unit or general plan of a repeating or growing pattern. |
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| Grade Level Indicators (Grade 2) |
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| 1. | Extend simple number patterns (both repeating and growing patterns), and create similar patterns using different objects, such as using physical materials or shapes to represent numerical patterns. |
| 2. | Use patterns to make generalizations and predictions; e.g., determine a missing element in a pattern. |
| 3. | Create new patterns with consistent rules or plans, and describe the rule or general plan of existing patterns. |
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| Mathematical Processes Standard | |
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| Benchmarks (K - 2) |
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| F. | Draw pictures and use physical models to represent problem situations and solutions. |
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| Principles and Standards for School Mathematics |
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| Algebra Standard | |
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| Understand patterns, relations, and functions |
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| Expectations (Pre-K - 2) |
| recognize, describe, and extend patterns such as sequences of sounds and shapes or simple numeric patterns and translate from one representation to another; |
| analyze how both repeating and growing patterns are generated. |
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| Representation Standard | |
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| Select, apply, and translate among mathematical representations to solve problems |
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| RESOURCE TYPE |
| Instructional Resource |
| PRACTICE LEVEL |
| Best Practice |
| STANDARDS ALIGNMENT |
| Prekindergarten - Grade 2 |
| TOPICS |
Mathematics --
Algebra;
Patterns, sequences;
Representation |
| FOUND IN |
| COR |
| KEYWORDS |
applet;
repeating pattern;
growing pattern |
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Author: Eric Hart
Publisher: National Council of Teachers of Mathematics
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