﻿ Algebra II Module 1, Topic C, Lesson 32 | EngageNY

## Algebra II Module 1, Topic C, Lesson 32

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.

## Downloadable Resources

Resources may contain links to sites external to the EngageNY.org website. These sites may not be within the jurisdiction of NYSED and in such cases NYSED is not responsible for its content.

 Algebra II Module 1, Topic C, Lesson 32: Teacher Version (898.09 KB) View PDF Algebra II Module 1, Topic C, Lesson 32: Student Version (536.79 KB) View PDF Algebra II Module 1, Topic C, Lesson 32: Teacher Version (881.99 KB) Algebra II Module 1, Topic C, Lesson 32: Student Version (138.18 KB)

## 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...