Math Kangaroo: Benjamin (Grades 5–6)

7 core topics + 9 prerequisite topics taught as needed · approximately 4 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: Benjamin & Cadet · 7 topics

Systematic Counting [E]	Counting without missing or double-counting.
Number Patterns [E]	Finding the rule behind a sequence.
Remainders & Divisibility [E]	Quick remainder tricks.
Units-Digit Patterns [M]	The last digit of a power repeats in a cycle.
Logic & Deduction [E]	Narrowing many possibilities to one.
Age & Word Problems [M]	Turning a story into an equation.
Coins & Making Change [M]	Counting the ways to reach a total.

Prerequisite material — taught automatically when the diagnostic finds gaps

Arithmetic Foundations · 7 topics

Adding & Subtracting Whole Numbers	Multi-digit addition and subtraction.
Multiplication	Multiplying whole numbers.
Division	Dividing whole numbers.
Order of Operations	Parentheses first, then multiplication/division, then addition/subtraction.
Negative Numbers: Adding & Subtracting	Working with numbers below zero on the number line.
Negative Numbers: Multiplying & Dividing	Sign rules for products and quotients.
Exponents	Repeated multiplication in shorthand.

Expressions & Equations · 2 topics

Evaluating Expressions	Substituting a value for a variable.
One-Step Equations	Undoing a single operation.

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