PRIME, COMPOSITE, SQUARE & TRIANGULAR NUMBERS

ACMNA122 Identify and describe properties of prime, composite, square, and triangular numbers

Elaborations
  • understanding that some numbers have special properties and that these properties can be used to solve problems
  • representing composite numbers as a product of their prime factors and using this form to simplify calculations by cancelling common primes
  • understanding that if a number is divisible by a composite number then it is also divisible by the prime factors of that number (for example 216 is divisible by 8 because the number represented by the last three digits is divisible by 8, and hence 216 is also divisible by 2 and 4)
Learning intentions:
  • Understand the definitions of prime, composite, square, and triangular numbers.
  • Understand the properties of prime, composite, square, and triangular numbers.
Success criteria:
  • Students can accurately identify whether a given number is prime or composite.
  • Students can describe the properties of prime and composite numbers, including the fact that prime numbers have only two factors and composite numbers have more than two factors.
  • Students can describe the properties of square and triangular numbers, including how to find the square and triangular numbers for a given number.
  • Students can explain the relationship between prime, composite, square, and triangular numbers.