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.