# K.13 - Patterns

The student will

• identify, describe, extend, create, and transfer repeating patterns.

### BIG IDEAS

• So that I can use patterns as a way to recognize order and organize my world: sounds, letters, symbols, objects, and motions
• So that I can find patterns in numbers and nature

### UNDERSTANDING THE STANDARD

• Patterning is a fundamental cornerstone of mathematics, particularly algebra.  The process of generalization leads to the foundation of algebraic reasoning.
• Opportunities to create, identify, describe, extend, and transfer repeating patterns are essential to the primary school experience and lay the foundation for thinking algebraically.
• Patterning should include:
• creating a given pattern, using objects, sounds, movements, and pictures;
• recording a pattern with pictures or symbols;
• transferring a pattern into a different representation (e.g., the pattern snap, snap, clap changed to a blue, blue, red pattern, or changed to an AAB repeating pattern); and
• analyzing patterns in practical situations (e.g., calendar, seasons, days of the week).
• The part of the pattern that repeats is called the core.
• At this level students should have experiences extending patterns when given a complete repetition of a core (e.g., ABCABCABC) as well as when the final repetition of the core is incomplete (e.g., ABCABCA... or Red, Blue, Green, Red, Blue, Green, Red, Blue…).
• Examples  of  repeating patterns:
• ABABABAB;
• ABCABC;
• ABBAABBA;
• AABBAABBAABB; and
• AABAAB.
• Examples of growing patterns, introduced in grade one, include
• 10, 20, 30, 40, 50…

### ESSENTIALS

The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to

• Identify and describe the core (the part of the sequence that repeats) found in repeating patterns of common objects, sounds, movements, and pictures.
• Extend a repeating pattern by adding at least two complete repetitions of the core to the pattern.
• Create a repeating pattern.
• Compare similarities and differences between patterns.
• Transfer a repeating pattern from one representation to another.

### KEY VOCABULARY

Updated: Aug 22, 2018