Mathematical Analysis · Analytic Geometry
Virginia SOL MA.AG.4
Virginia SOL MA.AG.4 is part of the Analytic Geometry strand in Mathematical Analysis (Math). Under this Standards of Learning objective, students investigate and identify the characteristics of the graphs of polar equations. Below is what MA.AG.4 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice MA.AG.4 for the Virginia SOL test.
What SOL MA.AG.4 means
Investigate and identify the characteristics of the graphs of polar equations.
Skills you’ll practice for MA.AG.4
- Classify polar equations (rose, cardioid, limaçon, lemniscate, spiral, and circle), given the graph or the equation.
- Determine the effects of changes in the parameters of polar equations on the graph, using graphing technology.
- Convert between polar and rectangular forms of coordinates.
- Convert between complex numbers written in rectangular form and polar form.
- Convert equations between polar and rectangular forms.
- Determine and verify the intersection of the graphs of two polar equations, using graphing technology.
Key concepts covered by MA.AG.4
- polar equations
- rose curves
- cardioid
- limaçon
- lemniscate
- spiral
- circle
- polar parameters
- graphing technology
- parameter effects
- polar graphs
- polar coordinates
- rectangular coordinates
- coordinate conversion
- polar-rectangular conversion
- complex numbers
- rectangular form
- polar form
- complex conversion
- rectangular equations
- equation conversion
- polar intersections
- intersection verification
How to study and practice SOL MA.AG.4
Start with a quick diagnostic to see whether MA.AG.4 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.1 — Identify and analyze the properties of conic sections and sketch a graph given an equation.
- 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.5 — Use matrices to organize data and perform operations to solve systems of equations.
Frequently asked questions about SOL MA.AG.4
What is Virginia SOL MA.AG.4?
SOL MA.AG.4 is a Mathematical Analysis Standard of Learning in the Analytic Geometry strand. It expects students to investigate and identify the characteristics of the graphs of polar equations.
What skills does SOL MA.AG.4 cover?
SOL MA.AG.4 is assessed on 6 skills: classify polar equations (rose, cardioid, limaçon, lemniscate, spiral, and circle), given the graph or the equation; determine the effects of changes in the parameters of polar equations on the graph, using graphing technology; convert between polar and rectangular forms of coordinates; convert between complex numbers written in rectangular form and polar form; convert equations between polar and rectangular forms; determine and verify the intersection of the graphs of two polar equations, using graphing technology.
What strand of Mathematical Analysis is SOL MA.AG.4 in?
SOL MA.AG.4 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.4?
Start with a diagnostic to see whether MA.AG.4 is already solid, then work the 6 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.