Course contents document · Math Kangaroo · generated 2026-07-15

Math Kangaroo: Écolier (Grades 3–4)

9 core topics + 3 prerequisite topics taught as needed · approximately 2 hours of instruction including spaced review

How the course runs

An adaptive diagnostic (up to 40 questions) places the student on the course's knowledge graph — topics already known are credited, and instruction begins exactly at the learning frontier. Every topic is taught with a worked-example lesson and auto-graded practice; a topic is mastered at 75%+ and then maintained through spaced reviews on an expanding schedule. A cumulative quiz follows every 6 lessons. Prerequisite gaps below the course are detected and taught rather than skipped, so completion certifies the whole tower, not just the top.

Core curriculum

Math Kangaroo: Pre-Écolier & Écolier · 9 topics

Counting Pictures & Objects [E] Careful counting beats fast counting.
Hops on the Number Line [E] Equal jumps are hidden multiplication.
What Comes Next? [E] Find the rule, then trust it.
Missing-Number Puzzles [E] Undo the operation to find the hidden number.
Fair Sharing [E] Division with (and without) leftovers.
Days & Calendars [E] Weeks repeat in sevens.
Sides & Corners [E] Shapes hide multiplication; cuts make one more piece.
Coins & Small Money [E] Count money in groups; go greedy for fewest coins.
Little Logic Puzzles [E] Chain the clues in order.

Prerequisite material — taught automatically when the diagnostic finds gaps

Arithmetic Foundations · 3 topics
Adding & Subtracting Whole Numbers Multi-digit addition and subtraction.
Multiplication Multiplying whole numbers.
Division Dividing whole numbers.

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