Unit 4: Factors, Multiples, Primes, Powers & Sequences
Level 1 & Level 2
Counting on and back in 1s and 10s
from and back to 0.
Level 3 (≈ Grade G/F)
Count on and back in 10s and 100s
from a 2 or 3 digit number.
Level 4 (Grade E)
Count on and back in 0.1s and 0.01s from any
number.
Level 5 (≈ Grade D)
Recognise simple sequences of
numbers, including odd and even, up
to 50.
Recognise, describe and continue
basic number patterns given
numerically (4, 7, 10… etc) and
diagrammatically.
Recognise, describe and continue number
patterns given numerically (3, 8, 13, 18… etc)
and diagrammatically, including square and
triangle numbers etc.
Recognise and continue sequences
including those made from geometric
patterns.
Understand the definition of a
multiple and find multiples of a
given number. Use this to determine
the divisibility of a number.
Recognise and describe the relationships
multiple, factor and prime.
Find multiples and factors of numbers and
find HCF and LCM of simple pairs of
numbers.
Know the relationship between square
numbers and square roots.
Use prime factors to find the prime factor
decomposition of any number.
Use index notation for positive indices
only, in particular the powers of 10.
Unit 4: Factors, Multiples, Primes, Powers & Sequences
Level 5 (≈ Grade D)
Level 6 (≈ Grade C)
Level 7 (≈ Grade B)
Level 8 and E.P. (≈ Grade A/A*)
Recognise and continue sequences
including those made from geometric
patterns.
Recognise when a sequence is arithmetic.
Generate linear algebraic sequences. Find and
describe in words and symbols the rule for the
next term or nth term of a sequence where the
rule is linear.
Recognise geometric sequences
and appreciate other sequences
that arise. Generate quadratic
algebraic sequences.
Find and describe in words and
symbols the rule for the next term
or nth term of a sequence where
the rule is quadratic.
Find multiples and factors of numbers and
find HCF and LCM of simple pairs of
numbers.
Use prime factors to find the prime factor
decomposition of any number.
Use index notation for positive indices
only, in particular the powers of 10.
Express a number as a product of
its prime factors and use this to find
the HCF/LCM of two numbers.
Know the relationship between powers and
roots.
Know and use the index laws for
multiplication and division of
positive, negative, integer and
fractional powers.