In geometry, a point is a fundamental concept that represents a specific location in space. It is often denoted by a dot and has no size, shape, or dimension. A point is considered to be infinitely small, and it is the building block for constructing geometric figures.

**Location:**A point represents a specific location in space.**No Size:**A point has no physical dimensions, such as length, width, or height.**Denotation:**It is usually denoted by a capital letter, such as A, B, C, etc.**Named Points:**Points can be named using letters, numbers, or symbols to distinguish them from one another.

If we have a two-dimensional coordinate system, a point can be represented by an ordered pair (x, y). For example, the point A(3, 5) would be located at 3 units to the right and 5 units upwards from the origin.

- What is a point in geometry?
- What are the characteristics of a point?
- How are points denoted in geometry?
- Give an example of representing a point in a two-dimensional coordinate system.

Study GuideCompare and Order Numbers Worksheet/Answer key

Compare and Order Numbers Worksheet/Answer key

Compare and Order Numbers Worksheet/Answer key

Compare and Order Numbers

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Understand the place-value structure of the base-ten number system and be able to represent and compare whole numbers and decimals.

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 5 Focal Points (NCTM)

Number and Operations: Building on their work in grade 4, students extend their understanding of place value to numbers through millions and millionths in various contexts. They apply what they know about multiplication of whole numbers to larger numbers. Students also explore contexts that they can describe with negative numbers (e.g., situations of owing money or measuring elevations above and below sea level).