Curriculum & Lessons
Explore interactive, step-by-step math lessons. Learn the concepts deeply through visual models, then jump into the practice arena!
Unit 1 — Fractions
Understanding parts of a whole, equal sharing, and fractions models.
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.
Unit 2 — Numbers & Place Value
Counting, place value, tens & units, and building number sense.
Units, Tens & Hundreds
Break down multi-digit numbers into place values with tactile interactive blocks.
Comparing & Ordering Numbers
Explore the number track to order numbers and compare magnitudes with visual cues.
Unit 3 — Operations: Addition & Subtraction
Visual arithmetic models, number bonds, and mental strategies.
Visual Addition with Ten-Frames
Learn number bonds visually using interactive two-color ten-frames.
Subtraction as Taking Away & Difference
Discover the two meanings of subtraction through intuitive step-by-step models.
Unit 4 — Multiplication & Division
Equal groups, arrays, and sharing equally.
Multiplication as Equal Groups & Arrays
See multiplication not as memorization, but as rows and columns of equal groups.
Division as Fair Sharing
Understand division as the exact opposite of multiplication, connecting straight back to fractions.