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

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Given the center and the radius of a circle, use the Pythagorean theorem to find the equation of the circle.
Clarifications:

Essential Understandings

Concrete:

  • Count the number of terms in a quadratic equation.
  • Multiply and divide numbers using appropriate tools.
  • Use appropriate tools (calculator, graphic organizer, geometry software) to calculate squares and square roots.
  • Order the steps for solving an equation using the Pythagorean Theorem.
  • Perform operations on fractions.
  • Simplify fractions.
Representation:
  • Simplify radicals.
  • Calculate using multiple operations.
  • Substitute numbers from the equation into a template for the Pythagorean Theorem.
  • Calculate squares and square roots using appropriate tools.
  • 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 .
General Information
Number: MAFS.912.G-GPE.1.AP.1a
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.

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