Fraction Problems: Series 1
Six hundred and seventy two fraction equations on twenty eight sheets to be cut apart: seven sheets each for adding and subtracting fractions with like denominators, and for multiplying and dividing fractions by a whole number. Like denominators first is the whole sequencing decision, because a child who can add quarters to quarters before meeting quarters and thirds has one idea to hold rather than two. Cutting them apart turns a page into a stack a child works through. Cardstock and paper, 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 Fraction Problems Series 1 card set embodies the Montessori principle of isolated difficulty, presenting only addition operations to allow deep concentration on this single mathematical concept.
- Master addition of fractions with like denominators through systematic practice
- Develop strategies for finding common denominators independently
- Build computational fluency with mixed numbers and improper fractions
- Recognize fraction equivalencies through repeated problem-solving
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Each problem card builds upon the previous one, creating a concrete pathway from simple same-denominator additions to complex mixed-number calculations. The self-correcting nature of these fraction cards respects the child's inner drive for precision, allowing them to verify their work independently without adult intervention. This systematic progression through fraction addition problems mirrors how mathematical understanding develops naturally - through repeated, meaningful encounters with numerical relationships. The cards' physical manipulation provides a bridge between the concrete fraction materials used in earlier years and the abstract computation required in advanced mathematics. By working through this carefully sequenced series, children internalize fraction equivalencies and develop genuine number sense rather than memorizing procedures.
How to present it
Follow the Montessori method of presentation for optimal child development.
Place the problem cards in sequential order on a work mat. Provide pencil and computation paper. Ensure the child has completed concrete fraction work with materials.
- 1
Begin with card 1, copying the problem onto computation paper
Encourage neat, organized writing to support accuracy - 2
Solve the problem step-by-step, showing all work
Model thinking aloud during early sessions - 3
Check the answer using the self-correcting feature on the card
If incorrect, trace through each step to find the error - 4
Record completed problems in a mathematics journal
Dating entries helps track progress over time - 5
Continue through the sequence at the child's pace
Some children may complete 3-5 cards daily, others may need more time
Every Child Is a Little Creator
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