---
title: "HM.LMIR.4: Medieval World Math Overview (Georgia Mathematics standard)"
code: HM.LMIR.4
cite_as: Georgia Standards of Excellence, Mathematics, HM.LMIR.4
subject: math
grades:
  - high-school
language: en
canonical_url: https://georgiahomeroom.org/standards/code/HM.LMIR.4
md_url: https://georgiahomeroom.org/standards/code/HM.LMIR.4.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/HM.LMIR.4.md
source_url: https://case.georgiastandards.org/ims/case/v1p1/CFDocuments/e9dd7229-3558-4df2-85c6-57b8938f6180
source_last_changed: 2024-10-09
data_built: 2026-09-18
publisher: Georgia Homeroom, a free public-interest project of Georgia Civic Data. Not affiliated with or endorsed by the Georgia Department of Education or any school district.
up: https://georgiahomeroom.org/standards/math/high-school.md
index: https://georgiahomeroom.org/standards/index.md
---

# HM.LMIR.4: Medieval World Math Overview

Engage in the mathematical and cultural accomplishments of the world’s societies in the 5th century through the 15th century in order to grasp the foundational aspects of modern mathematics.

- Subject: Mathematics
- Appears in: High School, https://georgiahomeroom.org/standards/math/high-school.md

## Expectations

- Non-European mathematics in the middle ages
  - **HM.LMIR.4.1**: Translate medieval mathematical problems that involve linear, quadratic, or cubic equations into modern notation and solve them in a variety of ways.
  - **HM.LMIR.4.2**: Use Khayyam’s geometric construction to find a solution to a cubic equation.
  - **HM.LMIR.4.3**: Identify cyclic quadrilaterals and find associated lengths by Ptolemy’s Theorem.
  - **HM.LMIR.4.4**: Investigate the relationships among the sides and angles of a spherical triangle.
  - **HM.LMIR.4.5**: Describe the algebraic and geometric contributions of Islamic mathematicians in the Middle Ages.
  - **HM.LMIR.4.6**: Describe the algebraic and geometric contributions of Chinese mathematicians in the Middle Ages.
- European mathematics emerges from the dark ages.
  - **HM.LMIR.4.7**: Describe the transition of Hindu-Arabic numerals from regional use in the 10th century to wide-spread use in the 15th century.
  - **HM.LMIR.4.8**: Describe the transmission of ideas from the Greeks, through the Islamic peoples, to medieval Europe.
  - **HM.LMIR.4.9**: Describe the influence of the Catholic Church and Charlemagne on the establishment of mathematics as one of the central pillars of education.
  - **HM.LMIR.4.10**: Use historical multiplication and division algorithms.

## Georgia Milestones coverage

No Georgia Milestones blueprint cites this standard.

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.