Mathematics — Subtraction · Connected subtraction-ladder challenge

Sub-Down-Ladder

Plan a path through connected number boxes to reach a target subtraction result.

Portrait activity · keep the device upright for the intended layout

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📝 Description

Sub-Down-Ladder is a subtraction-focused mathematics game that turns number practice into a path-finding challenge. Learners strengthen subtraction fluency, number sense, and logical decision-making while moving through the ladder.

📋 Instructions

Start from the top and move downward through connected number boxes. Choose a path that gives the required subtraction result.

🎓 Learning Guide: Sub-Down-Ladder

Learning focus: Plan a path through connected number boxes to reach a target subtraction result.

Mathematics — Subtraction Connected subtraction-ladder challenge

Learning objectives

Identify the starting value and target shown by the puzzle
Perform subtraction step-by-step while tracing legal connections
Use the hint/restart only after checking the running calculation

Concepts and principles

Subtraction is order-sensitive: 14−6 differs from 6−14.
A connected path restricts available choices, so arithmetic correctness and path legality must both hold.
A target is a constraint; several paths may reach the same total if the rules allow them.

Examples and worked solutions

Independent teaching example (not verified as an in-game prompt): In an independent example, start at 20 and subtract 4, then 7, then 3. What remains?: Worked solution: 20−4−7−3=6. Intermediate totals are 16 and 9.

Guided practice

Read the target and connection structure before picking the first box
After every selected box, record the running value
If the target is missed, use the feedback or hint to locate the first mistaken step

Expected observations and explanations

A correct final result is insufficient if the selected path ignores adjacency rules.
Recording intermediate steps reveals arithmetic errors.

Assessment questions and answers

What is the result of 18−5−4?: Answer: 9.
Why can 5−12 not be replaced by 12−5?: Answer: Subtraction is not commutative; the results are −7 and 7.