Standard #: MAFS.912.G-GPE.2.6 (Archived Standard)


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Find the point on a directed line segment between two given points that partitions the segment in a given ratio.


General Information

Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Geometry: Expressing Geometric Properties with Equations
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
Content Complexity Rating: Level 1: Recall - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes

Test Item Specifications

    N/A

    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.



Sample Test Items (1)

Test Item # Question Difficulty Type
Sample Item 1

Points A,B, and C are colinear and AB:BC = begin mathsize 12px style 2 over 5 end style. 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?

N/A EE: Equation Editor


Related Courses

Course Number1111 Course Title222
1200400: Foundational Skills in Mathematics 9-12 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1206300: Informal Geometry (Specifically in versions: 2014 - 2015, 2015 - 2022 (course terminated))
1206310: Geometry (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1206320: Geometry Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200700: Mathematics for College Algebra (Specifically in versions: 2014 - 2015, 2015 - 2022 (course terminated))
7912060: Access Informal Geometry (Specifically in versions: 2014 - 2015 (course terminated))
1206315: Geometry for Credit Recovery (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7912065: Access Geometry (Specifically in versions: 2015 - 2022, 2022 and beyond (current))


Related Resources

Formative Assessments

Name Description
Partitioning a Segment

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

Centroid Coordinates

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

Lesson Plans

Name Description
Keeping Triangles in Balance: Discovering Triangle Centroid is Concurrent Medians

In this lesson, students identify, analyze, and understand the Triangle Centroid Theorem. Students discover that the centroid is a point of concurrency for the medians of a triangle and recognize its associated usage with the center of gravity or barycenter. This set of instructional materials provides the teacher with hands-on activities using technology as well as paper-and-pencil methods.

Partition Point For The Queen

Students will locate a point that partitions a line segment into a given ratio. Students will use a variety of methods; the activities range from informal student definitions and sketches to tasks using number lines and the coordinate plane.

Geometree Thievery

This geometry lesson focuses on partitioning a segment on a coordinate grid in a non-traditional and interesting format. Students will complete a series of problems to determine which farmers are telling the truth about their harvested "Geometrees."

Partitioning a Segment

In this lesson, students find the point on a directed line segment between two given points that partitions the segment in a given ratio.

Partition Me

Students will learn how to partition a segment. Turn your class into a partitioning party; just BYOGP (Bring your own graph paper).

Original Student Tutorial

Name Description
High Tech Seesaw

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

Perspectives Video: Professional/Enthusiast

Name Description
Amping Up Violin Tuning with Math

Kyle Dunn, a Tallahassee-based luthier and owner of Stringfest, discusses how math is related to music.

Download the CPALMS Perspectives video student note taking guide.

Student Resources

Original Student Tutorial

Name Description
High Tech Seesaw:

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



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