Classification and Patterning

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Classification and Patterning

• EDN 322

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Classification and Patterning

• Fundamental to learning about the real world
• involve the creation of relationships
• are easily integrated
• can be viewed as a form of problem solving and
  provide students with the opportunity to develop
  logical reasoning abilities
• provide the basis for building early number
  concepts
• facilitate algebraic thinking
• are fun!

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NCTM

• Instructional programs from prekindergarten
  through grade 12 should enable all students to

• Understand patterns, relations, and functions
  (Algebra)
• Understand numbers, ways of representing numbers,
  relationships among numbers, and number systems.
  (Number and Operations)

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NCTM Algebra

• Pre-K-2 Expectations

• Sort, classify, and order objects by size,
  number, and other properties
• 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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NCTM Algebra

• Expectations for Grades 3-5

• Describe, extend, and make generalizations about
  geometric and numeric patterns
• Represent and analyze patterns and functions,
  using words, tables, and graphs.

Back to NCTM
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NCTM Number and Operations

• Pre-K-2 Expectations

• Count with understanding and recognize how many
  in sets of objects
• Develop a sense of number

• Expectations for Grades 3-5

• Describe classes of numbers according to
  characteristics

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Classification

• Making decisions about certain attributes of
  objects and sorting them based on that
  classification.

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NCTM - Geometry

• Instructional programs from prekindergarten
  through grade 12 should enable all students to

• Analyze characteristics and properties of two-
  and three-dimensional geometric shapes and
  develop mathematical arguments about geometric
  relationships.
• Pre K-2 - Grades 3-5

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Geometry Pre-K-2

• All students should

• Recognize, name, build, draw, compare, and sort
  two-and three-dimensional shapes
• Describe attributes and parts of two-and
  three-dimensional shapes

Back to Geometry
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Geometry Grades 3-5

• Identify, compare, and analyze attributes of two-
  and three-dimensional shapes and develop
  vocabulary to describe the attributes
• Classify two- and three-dimensional shapes
  according to their properties and develop
  definitions of classes of shapes

All students should
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Quadrilaterals
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Venn Diagram
Quadrilaterals
Regular Polygon
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Quadrilaterals
Trapezoids
Parallelograms
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Quadrilaterals
Trapezoids
Parallelograms
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Venn Diagram
Quadrilateral
Parallelograms
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Class Inclusion

• The understanding, more advanced than simple
  classification, that some classes or sets of
  objects are also sub-sets of a larger class.

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Thin
Blue
Venn Diagram
Attribute Blocks
Rectangle
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T
T
T
T
T
T
T
T
T
Color Red, Yellow, Blue Shape Triangle,
Square Thickness Thick, Thin Size Small,
Large
T
Guess my Rule
T
T
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Large
Triangle
T
T
T
T
T
T
T
T
T
T
Guess my Rule
T
T
Thick
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Difference Trains

• Each car in a train is different from the car it
  follows in a specified number of ways. Find the
  difference pattern in this train Can you
  continue the train?

One-difference train
Two-difference train
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Types of patterns

• Repeating Patterns
• Growing Patterns or Sequences
• Number Patterns
• 2, 4, 8

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Examples of Patterns