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Clarifications: Each clarification provides an explanation of the indicator/objective to help teachers better understand the concept. Classroom examples are often included to further illustrate the concept. While classroom examples could be shared with the students, the intended audience for the explanation/clarification is the classroom teacher-not the student. In addition, classroom examples may or may not reflect the assessment limits.

Standard 1.0 Knowledge of Algebra, Patterns, and Functions

Topic A. Patterns and Functions

Indicator 2. Identify, copy, describe, create, and extend non-numeric patterns

Objective b. Represent and analyze repeating patterns using no more than 3 objects in the core of the pattern

Clarification

The ability to recognize, copy, describe, create, and extend patterns enables students to understand order. Instructional opportunities related to patterning provide a model for students so they may order objects in their everyday lives Patterns at the primary level take two forms: growing patterns and repeating patterns. Repeating patterns are the primary focus of this objective. It is also important that students recognize a pattern and are able to copy it. This indicates they are understanding that there is a core, or a part, in the pattern that repeats.

Several examples of repeating patterns include AB, ABC, and AAB. An AAB pattern may be represented using counters in an arrangement of green, green, red, with actions of clap, clap, stomp, or as shown below:

green, green, red, clap, clap, stomp
 

When students represent a pattern in a variety of ways, they begin to make generalizations. This is an important aspect in algebraic thinking. It is also essential that students understand the part in the pattern, or the core of the pattern, that is repeating. Often children describe a pattern as red, red, blue, red, red, blue, red, red, blue, etc. A child with a deeper understanding of this pattern would identify it as a pattern of red, red, blue only (or AAB) and identify red, red, blue as the core of the pattern


 

Resource:
National Council of Teachers of Mathematics. Principles and Standards for School Mathematics. Reston, VA: National Council of Teachers of Mathematics, 2000.

/instruction/clarification/mathematics/gradeK/xml/1A2b.xml
Resources for Objective 1.A.2.b:
CLARIFICATIONS | Prerequisites | Lesson Seeds | Thinking Skills | Sample Assessments |