Classroom Resource

Toothpicks: Patterns in Geometric Shapes

Subject Area

Mathematics

Grade(s)

4, 5

Overview

How can you describe the pattern made by a growing triangular shape? This interactive exercise focuses on using what you know about pattern recognition and completing a table so you have data you can use to graph the coordinates on a plane to make predictions about the ongoing pattern.

Mathematics (2019) Grade(s): 4

MA19.4.5

Generate and analyze a number or shape pattern that follows a given rule.

Unpacked Content

UP:MA19.4.5

Vocabulary

  • Generate
  • Rule
  • Pattern
  • Sequence
  • Term
  • Continue
  • Identify
  • Explicit

Knowledge

Students know:
  • Strategies for generating and recording number or shape patterns from a given rule.
  • Strategies for identifying and communicating shape and number patterns.

Skills

Students are able to:
  • Generate a number or shape pattern that follows a given a rule.
  • Analyze a number or shape pattern that follows a given rule.

Understanding

Students understand that:
  • A pattern is generated from a given rule.
  • The properties of a rule or pattern can be used to extend a pattern.
  • Some features of a given pattern are not explicit in the pattern's rule.
Mathematics (2019) Grade(s): 5

MA19.5.2

Generate two numerical patterns using two given rules and complete an input/output table for the data.

Unpacked Content

UP:MA19.5.2

Vocabulary

  • Number pattern
  • Graph
  • Coordinate plane
  • X-axis
  • Y-axis
  • Origin
  • X-coordinate
  • Y-coordinate
  • Ordered pair
  • Generate
  • Sequence

Knowledge

Students know:
  • Strategies to identify numerical patterns and recognize the relationship between the terms in the pattern.
  • Reasoning strategies to generate a numerical pattern which follow a given rule.

Skills

Students are able to:
  • Generate two numerical patterns using two given rules.
  • Complete an input/output table for data.
  • Identify relationship between terms in an input/output table.
  • Form ordered pairs from an input/output table.
  • Graph ordered pairs on a coordinate plane.

Understanding

Students understand that:
  • relationships between two numerical patterns can be represented by ordered pairs and graphed in the first quadrant of the coordinate plane.
Link to Resource
https://aptv.pbslearningmedia.org/resource/mgbh-math-oa-toothpicks/toothpicks-p…

CR Resource Type

Interactive/Game

Resource Provider

PBS
Accessibility
License

License Type

CUSTOM

Custom License Type (URL)

https://aptv.pbslearningmedia.org/help/terms-of-use/

Approved Date

ALSDE LOGO

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