Fractions from Scratch
A Concept Foundation Guide for Grades 3–5
Fractions feel hard when the foundation is missing. Almost every fraction difficulty traces back to one root cause — the concept was never fully established before the procedures started. This free guide fixes that, building four core fraction concepts properly from the ground up.
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Why Fractions Feel Hard
And exactly what this guide does about it.
The problem
Symbols before concepts
The fix
This guide always starts with a physical model before introducing written fractions.
The problem
The denominator confusion
The fix
Bigger denominators are explicitly taught as smaller pieces — multiple times, multiple ways.
The problem
Procedures without understanding
The fix
Every rule is explained with a why — so your child can reconstruct it, not just retrieve it.
The 4 Core Concepts
Work through one concept per session — 20–25 minutes each. Do not rush the early ones. They carry everything else.
What a Fraction Actually Is
Parts of a whole — the numerator counts, the denominator names. Built with folded paper and physical models before any written symbols.
The Denominator Trap
Bigger denominator means smaller pieces — the most counterintuitive fraction truth and the most commonly skipped. Taught with a pizza demonstration.
Equivalent Fractions
Same amount, different appearance. Why ½ = 2/4 = 3/6 — proven visually with paper folding, then explained with the multiply/divide rule.
Fractions on a Number Line
Fractions as actual numbers with a precise position — not just shapes. Bridges conceptual understanding to number sense.
Fractions from Scratch — Free Guide
FREE✓ 4 core concept lessons with teaching scripts
✓ 4 worksheets — one per concept — with full answer keys
✓ Common mistakes guide for each concept
✓ Visual teaching methods that work without manipulatives
✓ Notes pages for your observations
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More Fraction Resources
Build the Foundation That Sticks
Four concepts. Four sessions. The fraction understanding that makes operations make sense — not just steps to follow.
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