Fractions, cut open.
An animated course and a mastery trainer for a sharp 5th grader. Every lesson runs the same way: see it, understand why, then do it the way the exam wants. A practice engine remembers what you forget.
14 lessons, 15 skills, and a test in the shape of the class assessment. Progress saves in this browser.
See it
Every idea starts as a picture: a strip, a number line, a square. You see the answer before you compute it.
Ask why
Every rule comes with its reason. Estimate before computing, solve problems backwards, and explain it back in your own words.
Do it, then remember it
Each lesson ends with the method written the way the exam wants it. Then skills unlock along a map, and mastered ones come back for review just before you would forget them.
What is covered
The first eight items match Singapore Math Level 4, Unit 5 and Review 3. The next five match Primary Mathematics 5A, Unit 3 and Review A. Reasoning goes beyond both. Built from Singapore model drawing, Russian-school reasoning and mastery-based practice; the kid just sees one course.
- Mixed numbers ↔ improper fractions, simplest form
- Reading fractions on a number line
- "How many sixths are in 516?"
- Adding and subtracting with unlike denominators
- Subtracting fractions from whole and mixed numbers
- A fraction of a quantity, fraction × whole number
- Comparing fractions in multiple-choice form
- Two-step story problems with bar models
- A fraction as a division: 22 ÷ 8 = 2¾, sharing that does not split evenly
- Fractions of measures: ⅔ h = 40 min, 3⅖ km = 3400 m, 50 min as a fraction of 2 h
- Mixed numbers added and subtracted, with regrouping
- Fraction × fraction with the area model, cancelling first
- Dividing: whole ÷ fraction, fraction ÷ whole, fraction ÷ fraction
- A fraction of the remainder: Jim's stamps, Mr. Anderson's money, Rosa's book
- Reasoning puzzles: units of difference, working together, comparing without computing
The course
Each lesson is a short animated story with one idea to really own. Take them in order the first time.
Practice
Each finished lesson adds its skill here. The engine then picks the one you need most, and brings old skills back for review. Type fractions like 3/4 or 2 3/4.
Tests
No hints, a fresh set every time. Work on paper first, then type the answer. Take the Fractions test once to see where things stand. After that, check-ups ask mostly about what is not ready yet, so nobody repeats the whole test. On word problems, show your thinking in the box: it is read and commented on.
Other tests (they also cover topics outside the class assessment)
My card
A snapshot of the work so far. Screenshot the card, copy the post, share it.
Backup
Progress is saved in this browser only. To move it to another browser, a phone or a tablet, copy a backup code here and paste it there.