**Subject Area:**Mathematics

**Grade:**912

**Domain-Subdomain:**Geometry: Expressing Geometric Properties with Equations

**Cluster:**Level 1: Recall

**Cluster:**Use coordinates to prove simple geometric theorems algebraically. (Geometry - Major 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

**Assessed:**Yes

**Assessment Limits :**None

**Calculator :**Neutral

**Clarification :**

Students will find a point on a directed line segment between two

given points when given the partition as a ratio.**Stimulus Attributes :**

Items may be set in a real-world or mathematical context.**Response Attributes :**

Items may require the student to find a ratio when given the

endpoints of a directed line segment and a point on the line segment.Items may require the student to find an endpoint when given a ratio,

one endpoint, and a point on the directed line segment.

**Test Item #:**Sample Item 1**Question:**Points A,B, and C are colinear and AB:BC = . Point A is located at (-3,6), point B is located at (n,q), and point C is located at (-3,-4).

What are the values of n and q?

**Difficulty:**N/A**Type:**EE: Equation Editor

## Related Courses

## Related Access Points

## Related Resources

## Formative Assessments

## Lesson Plans

## Original Student Tutorial

## Perspectives Video: Professional/Enthusiast

## MFAS Formative Assessments

Students are asked to find the coordinates of the centroid when given the ratio of a directed segment.

Students are asked to find the coordinates of a point which partitions a segment in a given ratio.

## Original Student Tutorials Mathematics - Grades 9-12

Learn how to find the point on a directed line segment that partitions it into a given ratio in this interactive tutorial.

## Student Resources

## Original Student Tutorial

Learn how to find the point on a directed line segment that partitions it into a given ratio in this interactive tutorial.

Type: Original Student Tutorial