General Information
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.
Test Item Specifications
None
Neutral
Students will find a point on a directed line segment between two
given points when given the partition as a ratio.
Items may be set in a real-world or mathematical context.
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 = What are the values of n and q? |
N/A | EE: Equation Editor |
. Point A is located at (-3,6), point B is located at (n,q), and point C is located at (-3,-4).Related Courses
| Course Number1111 | Course Title222 |
| 1200400: | Foundational Skills in Mathematics 9-12 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 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 - 2024, 2024 and beyond (current)) |
| 1206320: | Geometry Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 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 - 2024, 2024 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. |