In geometry, a point is a specific location in space. It is often represented by a dot and is considered to have no size or dimensions. A point is denoted by a capital letter.

There are several characteristics of a point that are important to understand:

**Location:**A point represents a precise location in space.**No Size:**A point has no length, width, or height. It is infinitely small.**Coordinates:**In a coordinate system, a point is represented by an ordered pair of numbers (x, y) for a two-dimensional plane, or an ordered triple of numbers (x, y, z) for a three-dimensional space.

Here are some examples of points:

- Point A
- Point B
- Point C
- Point P(3, 5) - represented by coordinates (3, 5) in a two-dimensional plane
- Point Q(2, 4, 6) - represented by coordinates (2, 4, 6) in a three-dimensional space

Here are some activities to help you understand points better:

- Draw points on a piece of graph paper and label them with letters.
- Label points on a map to indicate specific locations.
- Practice plotting points on a coordinate plane.
- Use a three-dimensional model to visualize points in space.

Remember the following key points about points:

- A point is a specific location in space with no size.
- It is represented by a dot and denoted by a capital letter.
- Points can be located using coordinates in a coordinate system.

Study GuideDecimals/Fractions Activity LessonOrdering Decimals & Fractions Activity LessonPercent Grids Activity LessonFraction & Percent Circles Worksheet/Answer key

Decimals/Fractions Worksheet/Answer key

Decimals/Fractions Worksheet/Answer key

Decimals/Fractions Worksheet/Answer keyDecimals/Fractions Worksheet/Answer keyPercent Grids Vocabulary/Answer keyDecimals/Fractions

Number and Operations (NCTM)

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

Develop understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers.

Recognize and generate equivalent forms of commonly used fractions, decimals, and percents.

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.

Grade 4 Curriculum Focal Points (NCTM)

Number and Operations: Developing an understanding of decimals, including the connections between fractions and decimals

Students understand decimal notation as an extension of the base-ten system of writing whole numbers that is useful for representing more numbers, including numbers between 0 and 1, between 1 and 2, and so on. Students relate their understanding of fractions to reading and writing decimals that are greater than or less than 1, identifying equivalent decimals, comparing and ordering decimals, and estimating decimal or fractional amounts in problem solving. They connect equivalent fractions and decimals by comparing models to symbols and locating equivalent symbols on the number line.