Math - 2018-19

K.13 - Patterns

The student will 

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


Adopted: 2016

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.

Updated: Aug 22, 2018