Curriculum & Lessons
Explore interactive, step-by-step math lessons. Learn the concepts deeply through visual models, then jump into the practice arena!
Explore all 13 fraction topics, interactive visual models, and 4 learning phases on the dedicated hub.
The Concept of Fractions
Dividing a single whole into equal parts
Explore the golden rule of fractions: a whole divided equally. Includes French bread model, 20-student classroom set, and Halves & Quarters.
Writing and Reading Fractions
Numerators, denominators, and unit fractions
Discover unit fractions, how to write numerators and denominators, and how to read fractions mathematically.
The Value of Fractions
Benchmarking against wholes & mixed numbers
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.
Fractions on the Number Line
Locating proper, improper, and mixed fractions
Understand how fractions live on the number line: prerequisites, counting intervals instead of dots, and locating proper, improper, and mixed numbers.
Converting Mixed Numbers & Improper Fractions
Breaking wholes into unit pieces & packing pieces into wholes
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.
Equivalent Fractions: Expanding & Simplifying
Changing unit piece sizes without altering the total value
Master fraction expansion (slicing into smaller unit pieces) and simplification (grouping into larger unit pieces) with visual bars and money analogies.
Comparing & Ordering Fractions
Unit pieces, landmarks (half & whole), and common units
Order and compare fractions effortlessly: equalizing unit fractions vs counts, and powerful mental benchmarks (half, whole, missing pieces).
Adding Fractions
Like denominators, unlike denominators, carrying wholes, and mixed numbers
Master fraction addition from unit pieces: like denominators, carrying overflowing wholes, mixed numbers, avoiding the denominator trap, and finding common multiples.
Subtracting Fractions
Like denominators, subtracting from wholes, borrowing, and unlike denominators
Master fraction subtraction: taking away unit pieces, cashing in whole numbers, borrowing in mixed numbers, avoiding misconceptions, and finding common multiples.
Why Denominators Must Match
Apples & pears, pennies, and the golden rule of equal units
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.
Multiplying Fractions
Repeated addition, fraction of a fraction, 2D area grids, and scaling
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.
Dividing Fractions
Sharing vs. grouping, common denominator method, and Keep-Change-Flip
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.
Fractions as Decimals & Place Value
Tenths, hundredths, thousandths, and extending base-10 past zero
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.
Writing Fractions as Decimals
Expanding the denominator to 10, 100 or 1000
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.