#### Math - 2019-20

# 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.

### KEY VOCABULARY

*Updated: Aug 22, 2018*