*For example, find the points of intersection between the line y = –3x and the circle x² + y² = 3.*

**Subject Area:**Mathematics

**Grade:**912

**Domain-Subdomain:**Algebra: Reasoning with Equations & Inequalities

**Cluster:**Level 2: Basic Application of Skills & Concepts

**Cluster:**Solve systems of equations. (Algebra 1 - 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.

**Date Adopted or Revised:**02/14

**Date of Last Rating:**02/14

**Status:**State Board Approved - Archived

## Related Courses

## Related Access Points

## Related Resources

## Lesson Plan

## Problem-Solving Tasks

## Student Resources

## Problem-Solving Tasks

Although this task is fairly straightforward, it is worth noticing that it does not explicitly tell students to look for intersection points when they graph the circle and the line. Thus, in addition to assessing whether they can solve the system of equations, it is assessing a simple but important piece of conceptual understanding, namely the correspondence between intersection points of the two graphs and solutions of the system.

Type: Problem-Solving Task

This task asks students to consider the linear and quadratic functions shown on a graph, and use quadratic functions to find the coordinates.

Type: Problem-Solving Task

## Parent Resources

## Problem-Solving Tasks

Although this task is fairly straightforward, it is worth noticing that it does not explicitly tell students to look for intersection points when they graph the circle and the line. Thus, in addition to assessing whether they can solve the system of equations, it is assessing a simple but important piece of conceptual understanding, namely the correspondence between intersection points of the two graphs and solutions of the system.

Type: Problem-Solving Task

This task asks students to consider the linear and quadratic functions shown on a graph, and use quadratic functions to find the coordinates.

Type: Problem-Solving Task