--- title: "A.GSR.3: Distance, Midpoint, and Area (Georgia Mathematics standard)" code: A.GSR.3 cite_as: Georgia Standards of Excellence, Mathematics, A.GSR.3 subject: math grades: - high-school language: en canonical_url: https://georgiahomeroom.org/standards/code/A.GSR.3 md_url: https://georgiahomeroom.org/standards/code/A.GSR.3.md alternate_language_url: https://georgiahomeroom.org/es/standards/code/A.GSR.3.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 --- # A.GSR.3: Distance, Midpoint, and Area Solve problems involving distance, midpoint, slope, area, and perimeter to model and explain real-life phenomena - Subject: Mathematics - Appears in: High School, https://georgiahomeroom.org/standards/math/high-school.md ## Expectations - **A.GSR.3.1**: Solve real-life problems involving slope, parallel lines, perpendicular lines, area, and perimeter. - **A.GSR.3.2**: Apply the distance formula, midpoint formula, and slope of line segments to solve real-world problems. ## Georgia Milestones coverage - Algebra I (EOC). Geometric & Spatial Reasoning. Solve problems involving distance, midpoint, slope, area, and perimeter to model and explain real-life phenomena. (about 10% of the test; 6 points) ## What mastery looks like Georgia's Achievement Level Descriptors. The levels are cumulative: each includes the ones before it. Proficient is on grade level. - **Beginning**: Identify parallel and perpendicular lines within a geometric context. - **Developing**: Find the slope, the distance between two points, and the midpoints of line segments in simple shapes on the coordinate plane within a geometric context. - **Proficient**: Determine the areas and perimeters of parallelograms and triangles on the coordinate plane. Solve problems involving distances on the coordinate plane by applying the distance formula and/or the midpoint formula within a geometric context. - **Distinguished**: Solve complex, multi-step problems involving distances, slopes, and properties of geometric figures plotted on coordinate grids. Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.