Mathematical Analysis · Analytic Geometry
Virginia SOL MA.AG.1
Virginia SOL MA.AG.1 is part of the Analytic Geometry strand in Mathematical Analysis (Math). Under this Standards of Learning objective, students identify and analyze the properties of conic sections and sketch a graph given an equation. Below is what MA.AG.1 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice MA.AG.1 for the Virginia SOL test.
What SOL MA.AG.1 means
Identify and analyze the properties of conic sections and sketch a graph given an equation.
Skills you’ll practice for MA.AG.1
- Given a translation or rotation matrix, determine an equation for the transformed function or conic section.
- Convert between standard and general forms of conic equations by completing the square.
- Graph conic sections from equations written in general or standard form using transformations.
- Identify characteristics of conic sections including center, vertices, axes, symmetry, foci, directrix, eccentricity, and asymptotes.
- Represent applications of conic sections.
Key concepts covered by MA.AG.1
- translation matrix
- rotation matrix
- conic transformation
- equation transformation
- conic forms
- standard form
- general form
- completing the square
- conic conversion
- conic graphs
- graphing conics
- transformation graphs
- conic sections
- conic characteristics
- center
- vertices
- foci
- directrix
- eccentricity
- asymptotes
- conic applications
- real-world applications
- conic modeling
How to study and practice SOL MA.AG.1
Start with a quick diagnostic to see whether MA.AG.1 is already solid, then work each skill above with guided notes, flashcards, and SOL-style practice questions. For official released items, see our Virginia SOL practice tests guide and how to study for the SOL test.
Related Mathematical Analysis standards in Analytic Geometry
- MA.AG.2 — Use parametric equations to model and solve problems in context.
- MA.AG.3 — Perform operations with vectors in the coordinate plane.
- MA.AG.4 — Investigate and identify the characteristics of the graphs of polar equations.
- MA.AG.5 — Use matrices to organize data and perform operations to solve systems of equations.
Frequently asked questions about SOL MA.AG.1
What is Virginia SOL MA.AG.1?
SOL MA.AG.1 is a Mathematical Analysis Standard of Learning in the Analytic Geometry strand. It expects students to identify and analyze the properties of conic sections and sketch a graph given an equation.
What skills does SOL MA.AG.1 cover?
SOL MA.AG.1 is assessed on 5 skills: given a translation or rotation matrix, determine an equation for the transformed function or conic section; convert between standard and general forms of conic equations by completing the square; graph conic sections from equations written in general or standard form using transformations; identify characteristics of conic sections including center, vertices, axes, symmetry, foci, directrix, eccentricity, and asymptotes; represent applications of conic sections.
What strand of Mathematical Analysis is SOL MA.AG.1 in?
SOL MA.AG.1 belongs to the Analytic Geometry reporting strand of the Mathematical Analysis Virginia Standards of Learning.
How do I study and practice for SOL MA.AG.1?
Start with a diagnostic to see whether MA.AG.1 is already solid, then work the 5 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.