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Ivy Waters International Standards · G4.M-03

Angular Measurement & Geometric Principles

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.

G4.M-03Ages 9–10 · Grade 4 · Math

Angular Measurement & Geometric Principles

Mathematics & Quantitative Reasoning

Your child can identify acute, obtuse, and right angles, and can use a standard physical protractor to measure degrees (°) accurately on geometric plans.

In real life

Your child holds a protractor against a bridge drawing, measures a support at about 45°, and says, "That one is acute because it's smaller than a right angle."

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 G4.M-03: Angular Measurement & Geometric Principles. https://ivywaters.com/standards/G4.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.