Learn Math by Seeing,
Touching & Exploring.
Interactive step-by-step topics built for deep conceptual understanding. Start with 1 — Fractions and master every concept through visual models and interactive exercises.
Mathematics Curriculum
Select a unit below to explore its lessons and interactive practice exercises.
Explore all 13 fraction topics, interactive visual models, and 4 learning phases in our dedicated hub.
1.1 The Concept of Fractions
Explore the golden rule of fractions: a whole divided equally. Includes French bread model, 20-student classroom set, and Halves & Quarters.
1.2 Writing and Reading Fractions
Discover unit fractions, how to write numerators and denominators, and how to read fractions mathematically.
1.3 The Value of Fractions
Understand fraction magnitude: less than half, equal to 1, or greater than 1 whole. See why improper fractions and mixed numbers are the same value.
1.4 Fractions on the Number Line
Understand how fractions live on the number line: prerequisites, counting intervals instead of dots, and locating proper, improper, and mixed numbers.
1.5 Converting Mixed Numbers & Improper Fractions
Master the money analogy: cashing in wholes into unit fractions and packing loose pieces into full wholes. Step-by-step 2 3/4 and 12/5 visuals.
1.6 Equivalent Fractions: Expanding & Simplifying
Master fraction expansion (slicing into smaller unit pieces) and simplification (grouping into larger unit pieces) with visual bars and money analogies.
1.7 Comparing & Ordering Fractions
Order and compare fractions effortlessly: equalizing unit fractions vs counts, and powerful mental benchmarks (half, whole, missing pieces).
1.8 Adding Fractions
Master fraction addition from unit pieces: like denominators, carrying overflowing wholes, mixed numbers, avoiding the denominator trap, and finding common multiples.
1.9 Subtracting Fractions
Master fraction subtraction: taking away unit pieces, cashing in whole numbers, borrowing in mixed numbers, avoiding misconceptions, and finding common multiples.
1.10 Why Denominators Must Match
Discover the conceptual "why" behind common denominators: why you cannot add or subtract unlike pieces, the fruit and penny analogies, and how slicing creates equal units.
1.11 Multiplying Fractions
Master multiplying fractions: why common denominators are NOT needed, repeated addition of unit pieces, fraction of a whole, the 2D grid area model, mixed numbers, cross-simplification, and scaling.
1.12 Dividing Fractions
Master fraction division: fair sharing vs. grouping, dividing by whole numbers, the common denominator grouping breakthrough, Keep-Change-Flip algorithm, mixed numbers, and why dividing by a fraction makes numbers bigger.
1.13 Fractions as Decimals & Place Value
Understand decimals as fractions: how our Base-10 place value extends rightward into tenths, hundredths, and thousandths, and why 5/100 is 0.05, not 0.5.
1.14 Writing Fractions as Decimals
Decimal places only count tenths, hundredths and thousandths. To write 2/5 or 3/4 as a decimal, we rename its pieces by expanding the denominator to 10, 100 or 1000.