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Ivy Waters International Standards · G6.M-03

Proportional Reasoning, Ratios & Scale

Version 2.2.0 · 2026 · © 2026 Ivy Waters International. Licensed under CC BY 4.0.

Ages are the anchor. Grade names are Ivy Waters stage labels for this framework, not a claim about any national school system.

G6.M-03Ages 11–12 · Grade 6 · Math

Proportional Reasoning, Ratios & Scale

Mathematics & Algebraic Reasoning

Your child can interpret and simplify ratios (like 2:1) and apply scale factors to real travel maps or technical architectural blueprints.

In real life

Reading the trail map's 1:25,000 scale, your child measures 6 cm and announces the waterfall is a 1.5 km walk. At the potluck, they scale a recipe for 4 up to feed 10.

How to cite this

Standards are permanent: an ID issued in this edition keeps pointing at the same standard. Cite it like this.

Ivy Waters International Standards v2.2.0 (2026). Standard G6.M-03: Proportional Reasoning, Ratios & Scale. https://ivywaters.com/standards/G6.M-03

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Ages are the anchor. Grade names are Ivy Waters stage labels for this framework, not a claim about any national school system.

A machine-readable CC BY 4.0 release is published for reuse and integration. Schools and tools may display, adapt, and map their own records against it with attribution.

Ivy Waters International Standards · Version 2.2.0 · 2026 · © 2026 Ivy Waters International. Licensed under CC BY 4.0.

The school for a childhood lived beyond the classroom · Ivy Waters International · © 2026 All rights reserved.