Access Point #: MAFS.912.G-GPE.1.AP.1bArchived Access Point

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Given the equation, find the center and the radius of a circle.
Clarifications:

Essential Understandings

Concrete:

  • Count the number of terms in a quadratic equation.
  • Identify the numbers in the equation that would be used to complete the square.
  • Multiply and divide numbers using appropriate tools.
  • Use appropriate tools (e.g., calculator, graphic organizer, geometry software) to calculate squares and square roots.
  • Order the steps for solving an equation using completing the square.
  • Perform operations on fractions.
  • Simplify fractions.
Representation:
  • Calculate using multiple operations.
  • Substitute numbers from the equation into a template for completing the square.
  • Calculate squares and square roots using appropriate tools.
  • Simplify radicals.
  • Determine the root from adding the terms.
  • Determine the root from subtracting the terms.
  • Identify the parts of the answer that relate to the center and the radius of the circle.
  • Understand the following concepts and vocabulary: + symbol, factor, coefficient, terms, exponent, base, constant, variable, binomial, monomial, polynomial, square and square root.
  • Use the Pythagorean Theorem to find the distance between two points.
  • Use a template to find the equation of a circle: begin mathsize 12px style open parentheses x space minus space a close parentheses squared space plus space open parentheses y space minus space b close parentheses squared space equals space r squared end style where (a,b) is the center and r is the radius.
General Information
Number: MAFS.912.G-GPE.1.AP.1b
Category: Access Points
Date Adopted or Revised: 07/14
Cluster: Translate between the geometric description and the equation for a conic section. (Geometry - Additional Cluster) (Algebra 2 - Additional Cluster) : 

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Related Standards

This access point is an alternate version of the following benchmark(s).

Related Courses

This access point is part of these courses.
1200400: Foundational Skills in Mathematics 9-12
1202340: Precalculus Honors
1207310: Liberal Arts Mathematics
1206310: Geometry
1206320: Geometry Honors
1298310: Advanced Topics in Mathematics (formerly 129830A)
1206315: Geometry for Credit Recovery
7912065: Access Geometry

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