Pattern and function

Central idea:

Patterns are formed by the repetition of some recognisable and predictable arrangement of elements which can be described by words and symbols.

Key Concepts:

Form, Function and Connection

Lines of inquiry:

  • The rules used to generate and describe patterns.
  • How to identify patterns.
  • The relationships between the different elements in patterns.
Teacher questions:
  • What are the rules we use to generate and describe patterns?
  • What methods do we use to identify patterns?
  • How does one element in a pattern connect to another?

Learning outcomes:
  • LO1. Understand that patterns can be generalised by a rule. (P = 2 variables, describe a numerical pattern using a formula, simplify the equation e.g 2x = 2 times x, use a given rule. HP =  Apply this understanding to a problem)
  • LO2. Investigate number patterns using factors, multiples and prime numbers. (P = find the factors – factorisation and prime factorisation, know them, recall definitions of, prime and composites. HP investigate other number patterns = Square numbers, trianglular numbers, Pascal, Fibonnacci, Goldbach’s Conjecture.)
Learning experiences:
Click on the links below for information about our pattern and function units:
  • Factors, multiples, primes and composites
  • Algebra

Benchmarks

  • MAT.NC.5.13 – 13.  recognize patterns in multiples and factors to determine relationships between numbers.
  • MAT.NC.5.12 – 12.  recognize prime and composite numbers.
  • MAT.AC.5.1 – 1.  investigate one-step functions
  • MAT.AC.5.2 – 2.  analyze one-step functions to find and record rules.
  • MAT.AC.5.3 – 3.  use one-step functions to solve word problems and generate patterns.
  • MAT.AC.5.4 – 4.  select appropriate methods to analyze patterns and identify rules.

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