Math K-7 IRP Patterns and Relations (Patterns)

Students use patterns to describe the world around them and to solve problems.

It is expected that students will:

Grades K to 1 Grades 2 to 3 Grade 4
Identify, create, and compare patterns that arise from their daily experiences

Investigate, establish, and communicate rules for numerical and non-numerical patterns that arise from daily and mathematical experiences, and use these rules to make predictions

Investigate, establish, and communicate rules for, and predictions from, numerical and non-numerical patterns



  • identify, reproduce, extend, create, and compare patterns using actions, manipulatives, diagrams, and spoken terms

  • recognize patterns in the environment


  • identify, create, and describe number and non-number patterns

  • translate patterns from one mode to another using manipulatives, diagrams, charts, calculators, spoken and written terms, and symbols

  • explain the rule for a pattern and make predictions based on patterns using models and objects


  • identify and explain mathematical relationships and patterns through the use of grids, tables, charts, or calculators

  • make and justify predictions, using numerical and non-numerical patterns


It is expected that students will:

Grade 5 Grade 6 Grade 7
Construct, extend, and summarize patterns, using rules, charts, mental mathematics, and calculators

Use relationships to summarize, generalize, and extend patterns

Express patterns in terms of variables and use expressions containing variables to make predictions



  • develop charts to record and reveal number patterns

  • describe how a pattern grows using everyday language orally and in writing

  • construct and expand patterns in two and three dimensions, concretely and pictorially

  • generate number patterns within a problem-solving context

  • predict and justify pattern extensions


  • construct a visual representation of a pattern to clarify relationships and to verify predictions

  • summarize a relationship using everyday language in spoken or written form

  • create expressions and rules to describe patterns and relationships (e.g., area, perimeter, volume)

  • interpolate number values from a given graph

  • predict pattern relationships


  • create formulas for finding area, perimeter, and volume

  • predict and justify the nth value of a number pattern
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Maintained by: Mathematics Coordinator

Revised: October 20, 1997

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