Multiples Of Numbers Tables
Two pads of seventy five sheets for recording the multiples of numbers. Where the earlier multiples pads split the work by range, this one is a single format used across the whole investigation, which is what a child needs once they stop being told which numbers to examine and start choosing. Having plenty of the same sheet is how a long piece of research stays one piece of research rather than five loose attempts. Paper with laminate, for ages 6 to 12.
“The greatest sign of success for a teacher is to be able to say, 'The children are now working as if I did not exist.'”
The Multiples of Numbers Tables transforms abstract multiplication concepts into visual patterns that children can physically trace and explore.
- Recognition of multiplication patterns and number sequences within the hundred board
- Understanding of skip counting as foundation for multiplication facts
- Identification of prime and composite numbers through visual analysis
- Discovery of mathematical relationships between different number multiples
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This 10x10 grid displaying numbers 1-100 allows elementary students to discover mathematical relationships through their own observation rather than memorization. When children use the Multiples of Numbers Tables to skip count by threes or identify where multiples intersect, they build a concrete understanding of how numbers relate to each other. The laminated chart's durability encourages repeated exploration as children return to trace different number sequences, mark prime numbers, or compare multiplication patterns. Unlike traditional multiplication drills, this grid presentation reveals the inherent structure within our number system, allowing children to see that multiples of 5 always end in 0 or 5, or that multiples of 9 create a diagonal pattern. The Multiples of Numbers Tables serves as both a reference tool and a discovery material, bridging the gap between concrete manipulatives and abstract mathematical thinking.
How to present it
Follow the Montessori method of presentation for optimal child development.
Place the Multiples of Numbers Tables on a work mat at eye level. Provide dry-erase markers in different colors, a small eraser, and a notebook for recording discoveries.
- 1
Invite the child to choose a number between 2-10 and circle it on the chart
Starting with smaller numbers helps children see clear patterns without overwhelming visual information - 2
Ask them to skip count by their chosen number, marking each multiple with the same color
Encourage counting aloud to reinforce the auditory pattern alongside the visual - 3
Once complete, invite observation of the pattern created - vertical, diagonal, or scattered
Ask 'What do you notice?' rather than pointing out patterns yourself - 4
Choose a second number and repeat with a different color, noting where patterns overlap
Common multiples become visible when two colors meet on the same number - 5
Record discoveries in the notebook, drawing the patterns observed
Children often notice things adults miss - validate all observations
Every Child Is a Little Creator
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