Endpoint Study Guide

Definition

An endpoint is a point at the start or end of a line segment or ray.

Representation

Endpoints are usually denoted as a single dot on the end of a line segment or ray.

Line Segment

A line segment is a part of a line that is bounded by two distinct endpoints.

Ray

A ray is a part of a line that has one endpoint and extends infinitely in one direction.

Geometric Notation

In geometric notation, endpoints are often represented with capital letters. For example, if we have a line segment AB, A and B are the endpoints of the segment.

Coordinates

In coordinate geometry, endpoints can be represented by their coordinates on the coordinate plane. For example, the endpoint of a line segment AB can be represented as (x1, y1) and (x2, y2).

Importance

Understanding endpoints is crucial when working with geometric shapes, measuring distances, and understanding the properties of lines and line segments.

◂Math Worksheets and Study Guides Third Grade. 3 Digit Addition

The resources above cover the following skills:

Number and Operations (NCTM)

Compute fluently and make reasonable estimates.

Develop fluency in adding, subtracting, multiplying, and dividing whole numbers.

Select appropriate methods and tools for computing with whole numbers from among mental computation, estimation, calculators, and paper and pencil according to the context and nature of the computation and use the selected method or tools.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.

Connections to the Grade 3 Focal Points (NCTM)

Number and Operations: Building on their work in grade 2, students extend their understanding of place value to numbers up to 10,000 in various contexts. Students also apply this understanding to the task of representing numbers in different equivalent forms (e.g., expanded notation). They develop their understanding of numbers by building their facility with mental computation (addition and subtraction in special cases, such as 2,500 + 6,000 and 9,000 - 5,000), by using computational estimation, and by performing paper-and-pencil computations.