Square and Cube Numbers
Use integer powers and associated real roots: square, cube and higher (KS3)

Teaching for Understanding
Resources and ideas to promote understanding
Concrete and Pictorial
Square numbers? (Crewton Ramone's House of Math)
Excellent lesson idea using manipulatives to discover squares.
Video demonstrations (via YouTube)
Excellent lesson idea using manipulatives to discover squares.
Video demonstrations (via YouTube)
 Square numbers demo: Using linking cubes to explore how square numbers get their name.
 Cube numbers demo: Using linking cubes to explore how cube numbers get their name.
Fluency
Collections of standard practice problems in various formats
Worksheets
Basic practice (Maths Worksheets 4 Kids)
Large selection including squaring fractions, decimals and negatives.
Square Numbers (Worksheet Fun)
A really nice template for recording square numbers  could be printed on A5 and stuck into books.
Large selection including squaring fractions, decimals and negatives.
Square Numbers (Worksheet Fun)
A really nice template for recording square numbers  could be printed on A5 and stuck into books.
WHiteboard Display
Workouts (StudyMaths)
Question generator  good for basic repeated practice:
Question generator  good for basic repeated practice:
Games
Spooky Sequences (Oswego)
Find the missing square number in the sequence  a quick game for use on interactive board or independent practice.
Find the missing square number in the sequence  a quick game for use on interactive board or independent practice.
Enrichment, Extension and Problemsolving
Resources to extend thinking, enrich lessons or enhance problemsolving skills
Linking To Real Life
QUick Puzzles and Problems
Transum (Starter of the Day)
 Square thinkers: Find two square numbers which sum to give a third. Could also be useful as an introduction to Pythagoras Theorem.
 Square pairs: Arrange the numbers 1  15 so that adjacent sums are square numbers.
 Square and even: Magic square puzzle.
 Pears make squares: Problemsolving using the sums of square numbers.
Longer Problems and Investigations
Consecutive Squares (Transum)
Look for patterns in the difference of squares of two consecutive numbers. If applicable, pupils could prove their result using algebra.
Cycling Squares (Magical Maths)
Arrange a set of numbers so that each adjoining pair makes a square number. Videobased with solution.
Premier League of Square Numbers (311 Maths)
Allocate seats at a football stadium in square groups.
NRich:
Look for patterns in the difference of squares of two consecutive numbers. If applicable, pupils could prove their result using algebra.
Cycling Squares (Magical Maths)
Arrange a set of numbers so that each adjoining pair makes a square number. Videobased with solution.
Premier League of Square Numbers (311 Maths)
Allocate seats at a football stadium in square groups.
NRich:
 One Wasn't Square: Problem involving squares and sums of squares. Could be modeled using pupils as described in the activity.
 Picturing Square Numbers: Linking sums of consecutive odd numbers to square numbers.
 Two Primes Make One Square: Can you make square numbers by adding two prime numbers together? Does it always work?
Extension Tasks
Other Links and Resources
Useful stuff that doesn't fit anywhere else
Resource Bundles
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