Algebra II Module 1, Topic C, Lesson 32

high school girls doing homework

Student Outcomes

  • Students develop facility with graphical interpretations of systems of equations and the meaning of their solutions on those graphs. For example, they can use the distance formula to find the distance between the centers of two circles and thereby determine whether the circles intersect in 0, 1, or 2 points.
  • By completing the squares, students can convert the equation of a circle in general form to the center-radius form and, thus, find the radius and center. They can also convert the center-radius form to the general form by removing parentheses and combining like terms.
  • Students understand how to solve and graph a system consisting of two quadratic equations in two variables.

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Common Core Learning Standards

CCLS State Standard
A.REI.4.b Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the...
A.REI.7 Solve a simple system consisting of a linear equation and a quadratic equation in two variables...

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